From 50693a4d1b8f9bd3a67884365e1676760263498a Mon Sep 17 00:00:00 2001 From: Ewa Miazga Date: Thu, 30 Apr 2026 16:33:50 +0200 Subject: [PATCH 01/10] Implementation of l2 attack with different optimizers: sgd | sgdsign | signum | lion | adahessian --- .gitignore | 4 + .../setup_cifar10_model.cpython-39.pyc | Bin 0 -> 3890 bytes __pycache__/setup_mnist_model.cpython-39.pyc | Bin 0 -> 3856 bytes flip_map.py | 249 +++ grad_est_optimization.py | 560 +++++ opt_visualization.py | 457 ++++ setup_imagenet_model.py | 143 ++ zoo_l2_attack_black.ipynb | 1914 +++++++++++++++++ zoo_l2_attack_black.py | 534 +++-- 9 files changed, 3709 insertions(+), 152 deletions(-) create mode 100644 .gitignore create mode 100644 __pycache__/setup_cifar10_model.cpython-39.pyc create mode 100644 __pycache__/setup_mnist_model.cpython-39.pyc create mode 100644 flip_map.py create mode 100644 grad_est_optimization.py create mode 100644 opt_visualization.py create mode 100644 setup_imagenet_model.py create mode 100644 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adversarial images. + +Produces for each sample: + • diff_raw_{i}.png — signed L2 per-pixel magnitude (heat-map, RdBu colourmap) + • diff_overlay_{i}.png — original image with top-K perturbed pixels highlighted + • flip_map_summary.png — mean absolute perturbation aggregated across all samples + +Usage: + python flip_map.py --dir cifar10/untargeted/newton + python flip_map.py --dir cifar10/untargeted/newton --topk 50 --colormap hot +""" + +import argparse +import os +import json +import numpy as np +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import matplotlib.patches as mpatches +from PIL import Image + +plt.rcParams["font.family"] = "Times New Roman" + + +# ─────────────────────────────── helpers ──────────────────────────────────── + +def load_image(path: str) -> np.ndarray: + """Load PNG as float32 array in [0, 1], shape (H, W, C).""" + img = Image.open(path).convert("RGB") + return np.asarray(img, dtype=np.float32) / 255.0 + + +def perturbation_magnitude(orig: np.ndarray, adv: np.ndarray) -> np.ndarray: + """L2 magnitude of per-pixel perturbation, shape (H, W).""" + return np.sqrt(np.sum((adv - orig) ** 2, axis=-1)) + + +def signed_diff(orig: np.ndarray, adv: np.ndarray) -> np.ndarray: + """Mean signed channel difference per pixel, shape (H, W).""" + return np.mean(adv - orig, axis=-1) + + +def top_k_mask(mag: np.ndarray, k: int) -> np.ndarray: + """Boolean mask of the k pixels with largest perturbation magnitude.""" + flat = mag.flatten() + threshold = np.sort(flat)[-k] if k < len(flat) else flat.min() + return mag >= threshold + + +# ─────────────────────────────── per-sample plot ──────────────────────────── + +def plot_sample(orig: np.ndarray, adv: np.ndarray, idx: int, + out_dir: str, topk: int, colormap: str, + orig_label: str = "", adv_label: str = "") -> np.ndarray: + """ + Saves diff_raw and diff_overlay for one sample. + Returns the per-pixel magnitude array for global aggregation. + """ + mag = perturbation_magnitude(orig, adv) # (H, W) + sdiff = signed_diff(orig, adv) # (H, W) + + # ── 1. raw heat-map ────────────────────────────────────────────────────── + fig, axes = plt.subplots(1, 3, figsize=(11, 3.5)) + fig.suptitle(f"Sample {idx} | {orig_label} → {adv_label}", fontsize=11) + + axes[0].imshow(orig) + axes[0].set_title("Original", fontsize=9) + axes[0].axis("off") + + axes[1].imshow(adv) + axes[1].set_title("Adversarial", fontsize=9) + axes[1].axis("off") + + vmax = max(mag.max(), 1e-6) + im = axes[2].imshow(sdiff, cmap=colormap, vmin=-vmax, vmax=vmax) + axes[2].set_title("Signed Δ (mean channel)", fontsize=9) + axes[2].axis("off") + fig.colorbar(im, ax=axes[2], fraction=0.046, pad=0.04) + + plt.tight_layout() + raw_path = os.path.join(out_dir, f"diff_raw_{idx}.png") + fig.savefig(raw_path, dpi=150, bbox_inches="tight") + plt.close(fig) + + # ── 2. overlay: original + top-K highlighted pixels ───────────────────── + mask = top_k_mask(mag, topk) + + overlay = orig.copy() + # Highlight: set masked pixels to pure red + overlay[mask] = [1.0, 0.0, 0.0] + + fig2, ax2 = plt.subplots(figsize=(4, 4)) + ax2.imshow(overlay) + red_patch = mpatches.Patch(color="red", label=f"Top-{topk} perturbed pixels") + ax2.legend(handles=[red_patch], fontsize=7, loc="lower right") + ax2.set_title(f"Sample {idx}: {orig_label} → {adv_label}", fontsize=9) + ax2.axis("off") + plt.tight_layout() + ov_path = os.path.join(out_dir, f"diff_overlay_{idx}.png") + fig2.savefig(ov_path, dpi=150, bbox_inches="tight") + plt.close(fig2) + + return mag # returned for global aggregation + + +# ─────────────────────────────── summary plot ─────────────────────────────── + +def plot_summary(mean_mag: np.ndarray, out_dir: str, colormap: str, + solver: str, dataset: str, targeted: bool) -> None: + """Saves a single summary heat-map of mean perturbation magnitude.""" + fig, ax = plt.subplots(figsize=(4, 4)) + im = ax.imshow(mean_mag, cmap=colormap) + targeted_str = "targeted" if targeted else "untargeted" + ax.set_title(f"Mean |Δ| — {dataset} / {targeted_str} / {solver}", fontsize=9) + ax.axis("off") + fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04, label="L2 magnitude") + plt.tight_layout() + path = os.path.join(out_dir, "flip_map_summary.png") + fig.savefig(path, dpi=150, bbox_inches="tight") + plt.close(fig) + print(f"Summary saved → {path}") + + +# ─────────────────────────────── channel-wise ─────────────────────────────── + +def plot_channel_maps(orig: np.ndarray, adv: np.ndarray, idx: int, + out_dir: str, colormap: str) -> None: + """Per-channel signed difference maps (R, G, B).""" + channel_names = ["R", "G", "B"] + n = orig.shape[2] + fig, axes = plt.subplots(1, n, figsize=(3.5 * n, 3.5)) + if n == 1: + axes = [axes] + diff = adv - orig # (H, W, C) + vmax = max(np.abs(diff).max(), 1e-6) + for c, ax in enumerate(axes): + im = ax.imshow(diff[:, :, c], cmap=colormap, vmin=-vmax, vmax=vmax) + ax.set_title(f"Channel {channel_names[c] if c < 3 else c}", fontsize=9) + ax.axis("off") + fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04) + fig.suptitle(f"Sample {idx} — per-channel Δ", fontsize=10) + plt.tight_layout() + path = os.path.join(out_dir, f"diff_channels_{idx}.png") + fig.savefig(path, dpi=150, bbox_inches="tight") + plt.close(fig) + + +# ─────────────────────────────── main ─────────────────────────────────────── + +def main(): + parser = argparse.ArgumentParser(description="Flip-map analysis of adversarial perturbations") + parser.add_argument("--dir", required=True, + help="Path to attack output directory, e.g. cifar10/untargeted/newton") + parser.add_argument("--topk", type=int, default=30, + help="Number of top-perturbed pixels to highlight in overlay (default: 30)") + parser.add_argument("--colormap", default="RdBu_r", + help="Matplotlib colourmap for difference plots (default: RdBu_r)") + parser.add_argument("--channels", action="store_true", + help="Also save per-channel R/G/B difference maps") + args = parser.parse_args() + + attack_dir = args.dir + if not os.path.isdir(attack_dir): + raise FileNotFoundError(f"Directory not found: {attack_dir}") + + # ── Load results.json for labels ───────────────────────────────────────── + results_path = os.path.join(attack_dir, "results.json") + valid_labels = adv_labels = None + dataset = solver = "unknown" + targeted = False + if os.path.exists(results_path): + with open(results_path) as f: + results = json.load(f) + valid_labels = results.get("valid_classification", None) + adv_labels = results.get("adversarial_classification", None) + dataset = results.get("dataset", "unknown") + solver = results.get("solver", "unknown") + targeted = results.get("targeted", False) + + # CIFAR-10 class names (fallback to index strings for MNIST) + cifar_classes = ('plane','car','bird','cat','deer','dog','frog','horse','ship','truck') + + def label_name(idx_val, dataset_name): + if dataset_name == "cifar10" and idx_val is not None: + return cifar_classes[int(idx_val)] + return str(idx_val) if idx_val is not None else "?" + + # ── Discover sample pairs ──────────────────────────────────────────────── + orig_files = sorted( + [f for f in os.listdir(attack_dir) if f.startswith("original_") and f.endswith(".png")], + key=lambda x: int(x.split("_")[1].split(".")[0]) + ) + if not orig_files: + raise FileNotFoundError(f"No original_*.png files found in {attack_dir}") + + out_dir = os.path.join(attack_dir, "flip_maps") + os.makedirs(out_dir, exist_ok=True) + + all_mags = [] + + for fname in orig_files: + i = int(fname.split("_")[1].split(".")[0]) + adv_fname = f"adversarial_{i}.png" + orig_path = os.path.join(attack_dir, fname) + adv_path = os.path.join(attack_dir, adv_fname) + + if not os.path.exists(adv_path): + print(f" [skip] no adversarial file for sample {i}") + continue + + orig = load_image(orig_path) + adv = load_image(adv_path) + + orig_lbl = label_name(valid_labels[i] if valid_labels else None, dataset) + adv_lbl = label_name(adv_labels[i] if adv_labels else None, dataset) + + print(f" Sample {i}: {orig_lbl} → {adv_lbl}") + + mag = plot_sample(orig, adv, i, out_dir, + topk=args.topk, colormap=args.colormap, + orig_label=orig_lbl, adv_label=adv_lbl) + all_mags.append(mag) + + if args.channels: + plot_channel_maps(orig, adv, i, out_dir, args.colormap) + + if not all_mags: + print("No samples processed.") + return + + # ── Summary across all samples ─────────────────────────────────────────── + mean_mag = np.mean(np.stack(all_mags, axis=0), axis=0) # (H, W) + plot_summary(mean_mag, out_dir, args.colormap, solver, dataset, targeted) + + # ── Print top-10 most perturbed pixel coordinates ──────────────────────── + flat_idx = np.argsort(mean_mag.flatten())[::-1][:10] + H, W = mean_mag.shape + print("\nTop-10 most perturbed pixels (row, col) — mean magnitude:") + for rank, fi in enumerate(flat_idx): + r, c = divmod(fi, W) + print(f" #{rank+1:2d} pixel ({r:3d}, {c:3d}) |Δ| = {mean_mag[r, c]:.5f}") + + print(f"\nAll flip maps saved in: {out_dir}") + + +if __name__ == "__main__": + main() diff --git a/grad_est_optimization.py b/grad_est_optimization.py new file mode 100644 index 0000000..8274dda --- /dev/null +++ b/grad_est_optimization.py @@ -0,0 +1,560 @@ +""" +grad_est_optimization.py +------------------------ +Compares optimiser trajectories when using: + • Exact (analytical) gradients + • Finite-difference (FD) gradient estimates + +Five optimisers are run under both gradient regimes: + adam, newton, sgd-momentum, signsgd, lion + +Three output PDFs are produced (same style as opt_visualization.py): + *_contour2d.pdf — 2-D filled contour + paths + *_surface3d.pdf — 3-D surface + paths + *_convergence.pdf — semi-log convergence + global-minimum line + +Exact vs FD is distinguished by line style: + solid ─── exact gradient + dashed - - FD gradient + +Usage +----- + python grad_est_optimization.py + +To change the test function edit FUNCTION, TRUE_MIN, START, PLOT_XLIM/YLIM +at the bottom of the file. +Available presets: rosenbrock | himmelblau | beale | sphere +""" + +import numpy as np +import matplotlib.pyplot as plt +from mpl_toolkits.mplot3d import Axes3D # noqa: F401 +from dataclasses import dataclass, field +from typing import Callable, List, Tuple + +# --------------------------------------------------------------------------- +# Global style +# --------------------------------------------------------------------------- +plt.rcParams["font.family"] = "Times New Roman" +plt.rcParams["mathtext.fontset"] = "stix" + +_TNR = {"fontfamily": "Times New Roman"} + +COLORS = { + "Adam": "#e41a1c", + "Newton": "#377eb8", + "SGD": "#4daf4a", + "SGDSign": "#ff7f00", + "Signum": "#FFD700", + "Lion": "#984ea3", +} + +EXACT_LS = "-" # solid → exact gradient +FD_LS = "--" # dashed → finite-difference gradient + + +# --------------------------------------------------------------------------- +# Data container +# --------------------------------------------------------------------------- +@dataclass +class History: + name: str + grad_type: str # "exact" or "fd" + xs: List[float] = field(default_factory=list) + ys: List[float] = field(default_factory=list) + fs: List[float] = field(default_factory=list) + + def record(self, x, y, f): + self.xs.append(float(x)) + self.ys.append(float(y)) + self.fs.append(float(f)) + + def final(self): + return self.xs[-1], self.ys[-1], self.fs[-1] + + @property + def label(self): + return f"{self.name} ({'exact' if self.grad_type == 'exact' else 'FD'})" + + @property + def ls(self): + return EXACT_LS if self.grad_type == "exact" else FD_LS + + +# --------------------------------------------------------------------------- +# Preset 2-D functions with analytical gradients +# --------------------------------------------------------------------------- + +def rosenbrock(x, y, a=1, b=100): + """Global minimum at (1, 1).""" + return (a - x) ** 2 + b * (y - x ** 2) ** 2 + +def rosenbrock_grad(x, y, a=1, b=100): + gx = -2 * (a - x) - 4 * b * x * (y - x ** 2) + gy = 2 * b * (y - x ** 2) + return gx, gy + +def rosenbrock_hess_diag(x, y, a=1, b=100): + hxx = 2 - 4 * b * y + 12 * b * x ** 2 + hyy = 2 * b + return hxx, hyy + + +def himmelblau(x, y): + """Four equal minima.""" + return (x ** 2 + y - 11) ** 2 + (x + y ** 2 - 7) ** 2 + +def himmelblau_grad(x, y): + gx = 4 * x * (x ** 2 + y - 11) + 2 * (x + y ** 2 - 7) + gy = 2 * (x ** 2 + y - 11) + 4 * y * (x + y ** 2 - 7) + return gx, gy + +def himmelblau_hess_diag(x, y): + hxx = 12 * x ** 2 + 4 * y - 44 + 2 + hyy = 2 + 12 * y ** 2 + 4 * x - 28 + return hxx, hyy + + +def beale(x, y): + """Global minimum at (3, 0.5).""" + t1 = 1.5 - x + x * y + t2 = 2.25 - x + x * y ** 2 + t3 = 2.625 - x + x * y ** 3 + return t1 ** 2 + t2 ** 2 + t3 ** 2 + +def beale_grad(x, y): + t1 = 1.5 - x + x * y + t2 = 2.25 - x + x * y ** 2 + t3 = 2.625 - x + x * y ** 3 + gx = (2 * t1 * (y - 1) + + 2 * t2 * (y ** 2 - 1) + + 2 * t3 * (y ** 3 - 1)) + gy = (2 * t1 * x + + 2 * t2 * 2 * x * y + + 2 * t3 * 3 * x * y ** 2) + return gx, gy + +def beale_hess_diag(x, y): + t1 = 1.5 - x + x * y + t2 = 2.25 - x + x * y ** 2 + t3 = 2.625 - x + x * y ** 3 + hxx = (2 * (y - 1) ** 2 + + 2 * (y ** 2 - 1) ** 2 + + 2 * (y ** 3 - 1) ** 2) + hyy = (2 * x ** 2 + + 2 * (2 * x * y) ** 2 + 2 * t2 * 2 * x + + 2 * (3 * x * y ** 2) ** 2 + 2 * t3 * 6 * x * y) + return hxx, hyy + + +def sphere(x, y): + """Global minimum at (0, 0).""" + return x ** 2 + y ** 2 + +def sphere_grad(x, y): + return 2 * x, 2 * y + +def sphere_hess_diag(x, y): + return 2.0, 2.0 + + +# Registry: function → (grad_fn, hess_diag_fn) +GRAD_REGISTRY = { + rosenbrock: (rosenbrock_grad, rosenbrock_hess_diag), + himmelblau: (himmelblau_grad, himmelblau_hess_diag), + beale: (beale_grad, beale_hess_diag), + sphere: (sphere_grad, sphere_hess_diag), +} + + +# --------------------------------------------------------------------------- +# Finite-difference gradient & Hessian diagonal +# --------------------------------------------------------------------------- +def grad_fd(f, x, y, h=1e-5): + gx = (f(x + h, y) - f(x - h, y)) / (2 * h) + gy = (f(x, y + h) - f(x, y - h)) / (2 * h) + return gx, gy + +def hess_diag_fd(f, x, y, h=1e-5): + f0 = f(x, y) + hxx = max(abs((f(x + h, y) - 2 * f0 + f(x - h, y)) / h ** 2), 0.1) + hyy = max(abs((f(x, y + h) - 2 * f0 + f(x, y - h)) / h ** 2), 0.1) + return hxx, hyy + + +def _safe_hess(hxx, hyy): + return max(abs(hxx), 0.1), max(abs(hyy), 0.1) + + +# --------------------------------------------------------------------------- +# Generic optimisers — accept a grad_fn and hess_fn callable +# --------------------------------------------------------------------------- + +def run_adam(f, grad_fn, x0, y0, name="Adam", grad_type="exact", + lr=0.05, beta1=0.9, beta2=0.999, eps=1e-8, steps=500): + h = History(name, grad_type) + x, y = x0, y0 + mx = my = vx = vy = 0.0 + for t in range(1, steps + 1): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + mx = beta1 * mx + (1 - beta1) * gx + my = beta1 * my + (1 - beta1) * gy + vx = beta2 * vx + (1 - beta2) * gx ** 2 + vy = beta2 * vy + (1 - beta2) * gy ** 2 + corr = np.sqrt(1 - beta2 ** t) / (1 - beta1 ** t) + x -= lr * corr * mx / (np.sqrt(vx) + eps) + y -= lr * corr * my / (np.sqrt(vy) + eps) + h.record(x, y, f(x, y)) + return h + + +def run_newton(f, grad_fn, hess_fn, x0, y0, name="Newton", grad_type="exact", + lr=1.0, steps=500): + h = History(name, grad_type) + x, y = x0, y0 + for _ in range(steps): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + hxx, hyy = _safe_hess(*hess_fn(x, y)) + x -= lr * gx / hxx + y -= lr * gy / hyy + h.record(x, y, f(x, y)) + return h + + +def run_sgd(f, grad_fn, x0, y0, name="SGD", grad_type="exact", + lr=0.01, steps=500): + """Vanilla gradient descent — no momentum.""" + h = History(name, grad_type) + x, y = x0, y0 + for _ in range(steps): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + x -= lr * gx + y -= lr * gy + h.record(x, y, f(x, y)) + return h + +def run_signsgd(f, grad_fn, x0, y0, name="SGDSign", grad_type="exact", + lr=0.01, steps=500): + """SGDSign — step is lr * sign(g), no momentum.""" + h = History(name, grad_type) + x, y = x0, y0 + for _ in range(steps): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + x -= lr * np.sign(gx) + y -= lr * np.sign(gy) + h.record(x, y, f(x, y)) + return h + + +def run_signnum(f, grad_fn, x0, y0, name="Signum", grad_type="exact", + lr=0.01, beta1=0.9, steps=500): + """Signum — step is lr * sign(m), where m is an EMA of gradients.""" + h = History(name, grad_type) + x, y = x0, y0 + mx = my = 0.0 + for _ in range(steps): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + mx = beta1 * mx + (1 - beta1) * gx + my = beta1 * my + (1 - beta1) * gy + x -= lr * np.sign(mx) + y -= lr * np.sign(my) + h.record(x, y, f(x, y)) + return h + + +def run_lion(f, grad_fn, x0, y0, name="Lion", grad_type="exact", + lr=0.001, beta1=0.9, beta2=0.99, steps=500): + h = History(name, grad_type) + x, y = x0, y0 + mx = my = 0.0 + for _ in range(steps): + h.record(x, y, f(x, y)) + gx, gy = grad_fn(x, y) + ux = np.sign(beta1 * mx + (1 - beta1) * gx) + uy = np.sign(beta1 * my + (1 - beta1) * gy) + x -= lr * ux + y -= lr * uy + mx = beta2 * mx + (1 - beta2) * gx + my = beta2 * my + (1 - beta2) * gy + h.record(x, y, f(x, y)) + return h + + +# --------------------------------------------------------------------------- +# Helper: build exact and FD gradient/Hessian callables for a function +# --------------------------------------------------------------------------- +def make_grad_fns(f): + """Return (exact_grad, exact_hess, fd_grad, fd_hess) for f.""" + exact_grad, exact_hess = GRAD_REGISTRY[f] + fd_grad = lambda x, y: grad_fd(f, x, y) + fd_hess = lambda x, y: hess_diag_fd(f, x, y) + return exact_grad, exact_hess, fd_grad, fd_hess + + +# --------------------------------------------------------------------------- +# Run all optimisers under both gradient regimes +# --------------------------------------------------------------------------- +def run_all(f, x0, y0, steps, + adam_lr, newton_lr, sgd_lr, + sgdsign_lr, signum_lr, lion_lr): + eg, eh, fg, fh = make_grad_fns(f) + histories = [] + for gtype, gfn, hfn in [("exact", eg, eh), ("fd", fg, fh)]: + histories += [ + run_adam (f, gfn, x0, y0, "Adam", gtype, lr=adam_lr, steps=steps), + run_newton (f, gfn, hfn, x0, y0, "Newton", gtype, lr=newton_lr, steps=steps), + run_sgd (f, gfn, x0, y0, "SGD", gtype, lr=sgd_lr, steps=steps), + run_signsgd (f, gfn, x0, y0, "SGDSign", gtype, lr=sgdsign_lr, steps=steps), + run_signnum (f, gfn, x0, y0, "Signum", gtype, lr=signum_lr, steps=steps), + run_lion (f, gfn, x0, y0, "Lion", gtype, lr=lion_lr, steps=steps), + ] + return histories + + +# --------------------------------------------------------------------------- +# Visualisation helpers +# --------------------------------------------------------------------------- +def _apply_tnr(ax): + for item in ([ax.title, ax.xaxis.label, ax.yaxis.label] + + ax.get_xticklabels() + ax.get_yticklabels()): + item.set_fontfamily("Times New Roman") + leg = ax.get_legend() + if leg: + plt.setp(leg.get_texts(), fontfamily="Times New Roman") + + +def _apply_tnr_3d(ax): + for item in ([ax.title, ax.xaxis.label, ax.yaxis.label, ax.zaxis.label] + + ax.get_xticklabels() + ax.get_yticklabels() + + ax.get_zticklabels()): + item.set_fontfamily("Times New Roman") + leg = ax.get_legend() + if leg: + plt.setp(leg.get_texts(), fontfamily="Times New Roman") + + +# --------------------------------------------------------------------------- +# Plot 1 — 2-D contour +# --------------------------------------------------------------------------- +def plot_contour_2d(histories: List[History], f: Callable, + xlim, ylim, title="", resolution=200, + true_min=None): + xs = np.linspace(*xlim, resolution) + ys = np.linspace(*ylim, resolution) + X, Y = np.meshgrid(xs, ys) + Z = f(X, Y) + levels = np.unique(np.percentile(Z, np.linspace(0, 95, 30))) + + fig, ax = plt.subplots(figsize=(8, 6)) + cf = ax.contourf(X, Y, Z, levels=levels, cmap="viridis", alpha=0.75) + cbar = plt.colorbar(cf, ax=ax, label="f(x, y)") + cbar.ax.yaxis.label.set_fontfamily("Times New Roman") + plt.setp(cbar.ax.get_yticklabels(), fontfamily="Times New Roman") + ax.contour(X, Y, Z, levels=levels, colors="white", linewidths=0.3, alpha=0.4) + + # Draw paths + for h in histories: + color = COLORS[h.name] + ax.plot(h.xs, h.ys, h.ls + "o", color=color, + markersize=2, linewidth=1.4, alpha=0.80, + label=h.label) + ax.plot(h.xs[0], h.ys[0], "o", color=color, markersize=7, zorder=8) + + # Final stars with overlap jitter + x_span = xlim[1] - xlim[0] + y_span = ylim[1] - ylim[0] + nudge = 0.018 * max(x_span, y_span) + dirs = [(1,0),(0,1),(-1,0),(0,-1),(1,1),(-1,1),(1,-1),(-1,-1)] + finals = [(h.xs[-1], h.ys[-1], COLORS[h.name], h.grad_type) for h in histories] + offsets = [[0.0, 0.0] for _ in finals] + for i in range(len(finals)): + for j in range(i + 1, len(finals)): + dx = finals[i][0] - finals[j][0] + dy = finals[i][1] - finals[j][1] + if (dx**2 + dy**2) ** 0.5 < nudge * 1.5: + di = dirs[i % len(dirs)] + dj = dirs[(i + 4) % len(dirs)] + offsets[i][0] += di[0] * nudge + offsets[i][1] += di[1] * nudge + offsets[j][0] += dj[0] * nudge + offsets[j][1] += dj[1] * nudge + for (fx, fy, color, gtype), (ox, oy) in zip(finals, offsets): + marker = "*" if gtype == "exact" else "P" # star=exact, filled-plus=FD + ax.plot(fx + ox, fy + oy, marker, color=color, markersize=16, + markeredgecolor="black", markeredgewidth=0.9, + zorder=11, clip_on=False) + + if true_min: + for i, (tx, ty) in enumerate(true_min): + lbl = "True min" if i == 0 else "_nolegend_" + ax.plot(tx, ty, "x", color="#00CED1", markersize=13, + markeredgewidth=3.0, zorder=10, label=lbl) + + ax.set_xlim(xlim); ax.set_ylim(ylim) + ax.set_xlabel("x", **_TNR); ax.set_ylabel("y", **_TNR) + ax.set_title(f"{title} — 2-D contour (solid=exact, dashed=FD)", **_TNR) + ax.legend(loc="upper right", fontsize=7, + prop={"family": "Times New Roman"}, ncol=2) + _apply_tnr(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_grad_contour2d.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +# --------------------------------------------------------------------------- +# Plot 2 — 3-D surface +# --------------------------------------------------------------------------- +def plot_surface_3d(histories: List[History], f: Callable, + xlim, ylim, title="", resolution=100, + true_min=None): + xs = np.linspace(*xlim, resolution) + ys = np.linspace(*ylim, resolution) + X, Y = np.meshgrid(xs, ys) + Z = f(X, Y) + z_ceil = float(np.percentile(Z, 97)) + Z_plot = np.clip(Z, None, z_ceil) + z_floor = float(Z_plot.min()) + + fig = plt.figure(figsize=(11, 8)) + ax = fig.add_subplot(111, projection="3d") + surf = ax.plot_surface(X, Y, Z_plot, cmap="viridis", alpha=0.30, + linewidth=0, antialiased=True, rcount=80, ccount=80) + cbar = fig.colorbar(surf, ax=ax, shrink=0.45, pad=0.12, label="f(x, y)") + cbar.ax.yaxis.label.set_fontfamily("Times New Roman") + plt.setp(cbar.ax.get_yticklabels(), fontfamily="Times New Roman") + + for h in histories: + color = COLORS[h.name] + fp = np.clip(np.array(h.fs), None, z_ceil) + ax.plot(h.xs, h.ys, fp, h.ls + "o", color=color, + markersize=2, linewidth=1.5, alpha=0.9, + label=h.label, zorder=5) + ax.scatter([h.xs[0]], [h.ys[0]], [fp[0]], + color=color, s=70, marker="o", + edgecolors="black", linewidths=0.6, zorder=6) + ax.scatter([h.xs[-1]], [h.ys[-1]], [fp[-1]], + color=color, + s=220, marker="*" if h.grad_type == "exact" else "P", + edgecolors="black", linewidths=0.9, zorder=7) + + if true_min: + for i, (tx, ty) in enumerate(true_min): + tz = np.clip(float(f(tx, ty)), None, z_ceil) + lbl = "True min" if i == 0 else "_nolegend_" + ax.scatter([tx], [ty], [tz], color="#00CED1", s=200, marker="x", + linewidths=3.0, zorder=10, label=lbl) + ax.plot([tx, tx], [ty, ty], [z_floor, tz], + color="#00CED1", linewidth=1.2, linestyle=":", alpha=0.85) + + ax.set_xlabel("x", **_TNR, labelpad=8) + ax.set_ylabel("y", **_TNR, labelpad=8) + ax.set_zlabel("f(x, y)", **_TNR, labelpad=8) + ax.set_title(f"{title} — 3-D surface (solid=exact, dashed=FD)", **_TNR, pad=12) + ax.legend(loc="upper left", fontsize=7, + prop={"family": "Times New Roman"}, + framealpha=0.7, borderpad=0.6, ncol=2) + ax.view_init(elev=32, azim=-55) + ax.xaxis.pane.fill = ax.yaxis.pane.fill = ax.zaxis.pane.fill = False + for pane in (ax.xaxis.pane, ax.yaxis.pane, ax.zaxis.pane): + pane.set_edgecolor("lightgrey") + _apply_tnr_3d(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_grad_surface3d.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +# --------------------------------------------------------------------------- +# Plot 3 — convergence +# --------------------------------------------------------------------------- +def plot_convergence(histories: List[History], title="", f_min=None): + fig, ax = plt.subplots(figsize=(8, 5)) + for h in histories: + color = COLORS[h.name] + ax.semilogy(h.fs, color=color, linestyle=h.ls, + linewidth=1.5, label=h.label) + if f_min is not None: + f_plot = max(f_min, 1e-10) + ax.axhline(f_plot, color="#00CED1", linewidth=1.4, + linestyle="--", + label=f"Global min f={f_min:.4g}", zorder=5) + ax.set_xlabel("Step", **_TNR) + ax.set_ylabel("f(x, y) [log scale]", **_TNR) + ax.set_title(f"{title} — Convergence (solid=exact, dashed=FD)", **_TNR) + ax.legend(fontsize=7, prop={"family": "Times New Roman"}, ncol=2) + ax.grid(True, which="both", linestyle="--", alpha=0.4) + _apply_tnr(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_grad_convergence.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +# --------------------------------------------------------------------------- +# Summary table +# --------------------------------------------------------------------------- +def print_summary(histories: List[History]): + print(f"\n{'Optimizer':<18} {'Grad':>6} {'Final x':>10} " + f"{'Final y':>10} {'Final f':>14}") + print("-" * 62) + for h in histories: + fx, fy, ff = h.final() + print(f"{h.name:<18} {h.grad_type:>6} {fx:>10.5f} " + f"{fy:>10.5f} {ff:>14.6e}") + print() + + +# --------------------------------------------------------------------------- +# Entry point +# --------------------------------------------------------------------------- +if __name__ == "__main__": + + # ---- Choose function & domain ---- + FUNCTION = rosenbrock # rosenbrock | himmelblau | beale | sphere + START = (-2.0, -1.0) + STEPS = 2000 + PLOT_XLIM = (-2.5, 2.5) + PLOT_YLIM = (-1.0, 3.5) + TITLE = "Rosenbrock" + # rosenbrock: [(1,1)] | himmelblau: 4 pts | beale: [(3,0.5)] | sphere: [(0,0)] + TRUE_MIN = [(1.0, 1.0)] + + # ---- Per-solver hyperparameters ---- + ADAM_LR = 0.5 + NEWTON_LR = 0.75 + SGD_LR = 0.0001 + SGDSIGN_LR = 0.001 + SIGNUM_LR = 0.01 + LION_LR = 0.0018 + + x0, y0 = START + print(f"Function : {FUNCTION.__name__}") + print(f"Start : {START}") + print(f"Steps : {STEPS}\n") + + histories = run_all( + FUNCTION, x0, y0, STEPS, + ADAM_LR, NEWTON_LR, SGD_LR, SGDSIGN_LR, SIGNUM_LR, LION_LR + ) + + print_summary(histories) + + f_min = min(FUNCTION(tx, ty) for tx, ty in TRUE_MIN) if TRUE_MIN else None + + plot_contour_2d(histories, FUNCTION, PLOT_XLIM, PLOT_YLIM, + title=TITLE, true_min=TRUE_MIN) + plot_surface_3d(histories, FUNCTION, PLOT_XLIM, PLOT_YLIM, + title=TITLE, true_min=TRUE_MIN) + plot_convergence(histories, title=TITLE, f_min=f_min) diff --git a/opt_visualization.py b/opt_visualization.py new file mode 100644 index 0000000..537a0d4 --- /dev/null +++ b/opt_visualization.py @@ -0,0 +1,457 @@ +""" +opt_visualization.py +-------------------- +Minimizes a 2D function using 5 optimizers: + adam, newton, sgd, signsgd, lion + +For each optimizer the full trajectory (x, y, f(x,y)) is recorded and +plotted as a path on a filled contour of the function. + +Usage +----- + python opt_visualization.py + +To swap the target function edit FUNCTION at the bottom of the file. +Available presets: rosenbrock, himmelblau, beale, sphere +""" + +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.cm as cm +from mpl_toolkits.mplot3d import Axes3D # needed for projection='3d' +from dataclasses import dataclass, field +from typing import Callable, List, Tuple + + +# --------------------------------------------------------------------------- +# Data container +# --------------------------------------------------------------------------- + +@dataclass +class History: + name: str + xs: List[float] = field(default_factory=list) + ys: List[float] = field(default_factory=list) + fs: List[float] = field(default_factory=list) + + def record(self, x: float, y: float, f: float): + self.xs.append(x) + self.ys.append(y) + self.fs.append(f) + + def final(self): + return self.xs[-1], self.ys[-1], self.fs[-1] + + +# --------------------------------------------------------------------------- +# Numerical gradient & Hessian (finite differences — black-box, no autograd) +# --------------------------------------------------------------------------- + +def grad_fd(f: Callable, x: float, y: float, h: float = 1e-5) -> Tuple[float, float]: + """Central-difference gradient.""" + gx = (f(x + h, y) - f(x - h, y)) / (2 * h) + gy = (f(x, y + h) - f(x, y - h)) / (2 * h) + return gx, gy + + +def hess_diag_fd(f: Callable, x: float, y: float, h: float = 1e-5) -> Tuple[float, float]: + """Diagonal of the Hessian via second-order finite differences.""" + f0 = f(x, y) + hxx = (f(x + h, y) - 2 * f0 + f(x - h, y)) / (h ** 2) + hyy = (f(x, y + h) - 2 * f0 + f(x, y - h)) / (h ** 2) + # Clamp to avoid division by zero / wrong-sign steps (same logic as ZOO Newton) + hxx = max(abs(hxx), 0.1) + hyy = max(abs(hyy), 0.1) + return hxx, hyy + + +# --------------------------------------------------------------------------- +# Optimizers (plain Python / NumPy — operate on scalar (x, y) coords) +# --------------------------------------------------------------------------- + +def run_adam(f, x0, y0, lr=0.05, beta1=0.9, beta2=0.999, eps=1e-8, steps=500): + history = History("Adam") + x, y = x0, y0 + mx, my = 0.0, 0.0 + vx, vy = 0.0, 0.0 + for t in range(1, steps + 1): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + mx = beta1 * mx + (1 - beta1) * gx + my = beta1 * my + (1 - beta1) * gy + vx = beta2 * vx + (1 - beta2) * gx ** 2 + vy = beta2 * vy + (1 - beta2) * gy ** 2 + corr = np.sqrt(1 - beta2 ** t) / (1 - beta1 ** t) + x -= lr * corr * mx / (np.sqrt(vx) + eps) + y -= lr * corr * my / (np.sqrt(vy) + eps) + history.record(x, y, f(x, y)) + return history + + +def run_newton(f, x0, y0, lr=1.0, steps=500): + history = History("Newton") + x, y = x0, y0 + for _ in range(steps): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + hxx, hyy = hess_diag_fd(f, x, y) + x -= lr * gx / hxx + y -= lr * gy / hyy + history.record(x, y, f(x, y)) + return history + + +def run_sgd(f, x0, y0, lr=0.01, steps=500): + """Vanilla gradient descent — no momentum.""" + history = History("SGD") + x, y = x0, y0 + for _ in range(steps): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + x -= lr * gx + y -= lr * gy + history.record(x, y, f(x, y)) + return history + + +def run_sgdsign(f, x0, y0, lr=0.01, steps=500): + """SGDSign — step is lr * sign(g), no momentum.""" + history = History("SGDSign") + x, y = x0, y0 + for _ in range(steps): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + x -= lr * np.sign(gx) + y -= lr * np.sign(gy) + history.record(x, y, f(x, y)) + return history + + +def run_signum(f, x0, y0, lr=0.01, beta1=0.9, steps=500): + """Signum — step is lr * sign(m), where m is an EMA of gradients.""" + history = History("Signum") + x, y = x0, y0 + mx, my = 0.0, 0.0 + for _ in range(steps): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + mx = beta1 * mx + (1 - beta1) * gx + my = beta1 * my + (1 - beta1) * gy + x -= lr * np.sign(mx) + y -= lr * np.sign(my) + history.record(x, y, f(x, y)) + return history + + +def run_lion(f, x0, y0, lr=0.001, beta1=0.9, beta2=0.99, steps=500): + """Lion: EvoLved Sign Momentum — arxiv.org/abs/2302.06675""" + history = History("Lion") + x, y = x0, y0 + mx, my = 0.0, 0.0 + for _ in range(steps): + history.record(x, y, f(x, y)) + gx, gy = grad_fd(f, x, y) + # 1. update direction: sign of interpolated momentum + ux = np.sign(beta1 * mx + (1 - beta1) * gx) + uy = np.sign(beta1 * my + (1 - beta1) * gy) + x -= lr * ux + y -= lr * uy + # 2. momentum update AFTER the step + mx = beta2 * mx + (1 - beta2) * gx + my = beta2 * my + (1 - beta2) * gy + history.record(x, y, f(x, y)) + return history + + +# --------------------------------------------------------------------------- +# Preset 2-D functions +# --------------------------------------------------------------------------- + +def rosenbrock(x, y, a=1, b=100): + """Global minimum at (a, a²) = (1, 1)""" + return (a - x) ** 2 + b * (y - x ** 2) ** 2 + + +def himmelblau(x, y): + """Four equal minima at (~3,2), (~-2.8,3.1), (~-3.8,-3.3), (~3.6,-1.8)""" + return (x ** 2 + y - 11) ** 2 + (x + y ** 2 - 7) ** 2 + + +def beale(x, y): + """Global minimum at (3, 0.5)""" + return ((1.5 - x + x * y) ** 2 + + (2.25 - x + x * y ** 2) ** 2 + + (2.625 - x + x * y ** 3) ** 2) + + +def sphere(x, y): + """Global minimum at (0, 0)""" + return x ** 2 + y ** 2 + + +# --------------------------------------------------------------------------- +# Visualization +# --------------------------------------------------------------------------- + +COLORS = { + "Adam": "#e41a1c", + "Newton": "#377eb8", + "SGD": "#4daf4a", + "SGDSign": "#ff7f00", + "Signum": "#FFD700", + "Lion": "#984ea3", +} + + +# Set Times New Roman as the global default for all text in every figure +plt.rcParams["font.family"] = "Times New Roman" +plt.rcParams["mathtext.fontset"] = "stix" # matching math font + +_TNR = {"fontfamily": "Times New Roman"} + + +def _apply_tnr(ax): + """Apply Times New Roman to all text elements of a 2-D axes.""" + for item in ([ax.title, ax.xaxis.label, ax.yaxis.label] + + ax.get_xticklabels() + ax.get_yticklabels()): + item.set_fontfamily("Times New Roman") + legend = ax.get_legend() + if legend: + plt.setp(legend.get_texts(), fontfamily="Times New Roman") + + +def _apply_tnr_3d(ax): + """Apply Times New Roman to all text elements of a 3-D axes.""" + for item in ([ax.title, ax.xaxis.label, ax.yaxis.label, ax.zaxis.label] + + ax.get_xticklabels() + ax.get_yticklabels() + + ax.get_zticklabels()): + item.set_fontfamily("Times New Roman") + legend = ax.get_legend() + if legend: + plt.setp(legend.get_texts(), fontfamily="Times New Roman") + + +def plot_contour_2d(histories: List[History], f: Callable, + xlim: Tuple, ylim: Tuple, + title: str = "2-D contour", + resolution: int = 200, + true_min: List[Tuple] = None): + xs = np.linspace(*xlim, resolution) + ys = np.linspace(*ylim, resolution) + X, Y = np.meshgrid(xs, ys) + Z = f(X, Y) + levels = np.unique(np.percentile(Z, np.linspace(0, 95, 30))) + + fig, ax = plt.subplots(figsize=(7, 6)) + cf = ax.contourf(X, Y, Z, levels=levels, cmap="viridis", alpha=0.75) + cbar = plt.colorbar(cf, ax=ax, label="f(x, y)") + cbar.ax.yaxis.label.set_fontfamily("Times New Roman") + plt.setp(cbar.ax.get_yticklabels(), fontfamily="Times New Roman") + ax.contour(X, Y, Z, levels=levels, colors="white", linewidths=0.3, alpha=0.4) + + for h in histories: + color = COLORS.get(h.name, "black") + ax.plot(h.xs, h.ys, "-o", color=color, label=h.name, + markersize=2, linewidth=1.5, alpha=0.85) + ax.plot(h.xs[0], h.ys[0], "o", color=color, markersize=7) + + # ---- Final stars with overlap jitter ---- + # Compute a nudge radius in data units (~1.5% of axis span) + x_span = xlim[1] - xlim[0] + y_span = ylim[1] - ylim[0] + nudge = 0.018 * max(x_span, y_span) + + finals = [(h.xs[-1], h.ys[-1], COLORS.get(h.name, "black")) for h in histories] + offsets = [[0.0, 0.0] for _ in finals] + # Jitter directions: cycle through 8 compass offsets + dirs = [(1,0),(0,1),(-1,0),(0,-1),(1,1),(-1,1),(1,-1),(-1,-1)] + for i in range(len(finals)): + for j in range(i + 1, len(finals)): + dx = finals[i][0] - finals[j][0] + dy = finals[i][1] - finals[j][1] + if (dx**2 + dy**2) ** 0.5 < nudge * 1.5: + di = dirs[i % len(dirs)] + dj = dirs[(i + 4) % len(dirs)] # opposite direction + offsets[i][0] += di[0] * nudge + offsets[i][1] += di[1] * nudge + offsets[j][0] += dj[0] * nudge + offsets[j][1] += dj[1] * nudge + + for (fx, fy, color), (ox, oy) in zip(finals, offsets): + ax.plot(fx + ox, fy + oy, "*", color=color, markersize=16, + markeredgecolor="black", markeredgewidth=0.9, + zorder=11, clip_on=False) + + if true_min: + for i, (tx, ty) in enumerate(true_min): + label = "True min" if i == 0 else "_nolegend_" + ax.plot(tx, ty, "x", color="#00CED1", markersize=13, + markeredgewidth=3.0, zorder=10, label=label) + + ax.set_xlim(xlim); ax.set_ylim(ylim) + ax.set_xlabel("x", **_TNR); ax.set_ylabel("y", **_TNR) + ax.set_title(f"{title} — 2-D contour", **_TNR) + ax.legend(loc="upper right", fontsize=8, prop={"family": "Times New Roman"}) + _apply_tnr(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_contour2d.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +def plot_surface_3d(histories: List[History], f: Callable, + xlim: Tuple, ylim: Tuple, + title: str = "3-D surface", + resolution: int = 100, + true_min: List[Tuple] = None): + xs = np.linspace(*xlim, resolution) + ys = np.linspace(*ylim, resolution) + X, Y = np.meshgrid(xs, ys) + Z = f(X, Y) + z_ceil = float(np.percentile(Z, 97)) + z_floor = float(np.min(Z_plot := np.clip(Z, None, z_ceil))) + + fig = plt.figure(figsize=(11, 8)) + ax = fig.add_subplot(111, projection="3d") + + # Semi-transparent surface — low alpha so paths are clearly visible + surf = ax.plot_surface(X, Y, Z_plot, cmap="viridis", alpha=0.30, + linewidth=0, antialiased=True, rcount=80, ccount=80) + cbar = fig.colorbar(surf, ax=ax, shrink=0.45, pad=0.12, label="f(x, y)") + cbar.ax.yaxis.label.set_fontfamily("Times New Roman") + plt.setp(cbar.ax.get_yticklabels(), fontfamily="Times New Roman") + + for h in histories: + color = COLORS.get(h.name, "black") + fpath_clipped = np.clip(np.array(h.fs), None, z_ceil) + # Line with a dot at every recorded point + ax.plot(h.xs, h.ys, fpath_clipped, "-o", color=color, label=h.name, + markersize=2, linewidth=1.5, alpha=0.9, zorder=5) + # Start marker + ax.scatter([h.xs[0]], [h.ys[0]], [fpath_clipped[0]], + color=color, s=70, marker="o", + edgecolors="black", linewidths=0.6, zorder=6) + # Final point: large star with black outline + ax.scatter([h.xs[-1]], [h.ys[-1]], [fpath_clipped[-1]], + color=color, s=220, marker="*", + edgecolors="black", linewidths=0.9, zorder=7) + + if true_min: + for i, (tx, ty) in enumerate(true_min): + tz = np.clip(float(f(tx, ty)), None, z_ceil) + lbl = "True min" if i == 0 else "_nolegend_" + ax.scatter([tx], [ty], [tz], color="#00CED1", s=200, marker="x", + linewidths=3.0, zorder=10, label=lbl) + # Vertical dashed line to floor so position is unambiguous + ax.plot([tx, tx], [ty, ty], [z_floor, tz], + color="#00CED1", linewidth=1.2, linestyle=":", alpha=0.85) + + ax.set_xlabel("x", **_TNR, labelpad=8) + ax.set_ylabel("y", **_TNR, labelpad=8) + ax.set_zlabel("f(x, y)", **_TNR, labelpad=8) + ax.set_title(f"{title} — 3-D surface", **_TNR, pad=12) + ax.legend(loc="upper left", fontsize=8, + prop={"family": "Times New Roman"}, + framealpha=0.7, borderpad=0.6) + ax.view_init(elev=32, azim=-55) + # Reduce pane clutter for readability + ax.xaxis.pane.fill = False + ax.yaxis.pane.fill = False + ax.zaxis.pane.fill = False + ax.xaxis.pane.set_edgecolor("lightgrey") + ax.yaxis.pane.set_edgecolor("lightgrey") + ax.zaxis.pane.set_edgecolor("lightgrey") + _apply_tnr_3d(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_surface3d.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +def plot_convergence(histories: List[History], + title: str = "Convergence", + f_min: float = None): + fig, ax = plt.subplots(figsize=(7, 5)) + for h in histories: + color = COLORS.get(h.name, "black") + ax.semilogy(h.fs, color=color, label=h.name, linewidth=1.5) + if f_min is not None: + # Shift tiny negative/zero minima to a small positive value for log scale + f_min_plot = max(f_min, 1e-10) + ax.axhline(f_min_plot, color="#00CED1", linewidth=1.4, + linestyle="--", label=f"Global min f={f_min:.4g}", zorder=5) + ax.set_xlabel("Step", **_TNR) + ax.set_ylabel("f(x, y) [log scale]", **_TNR) + ax.set_title(f"{title} — Convergence", **_TNR) + ax.legend(fontsize=8, prop={"family": "Times New Roman"}) + ax.grid(True, which="both", linestyle="--", alpha=0.5) + _apply_tnr(ax) + + fig.tight_layout() + fname = f"{title.lower().replace(' ', '_')}_convergence.pdf" + fig.savefig(fname, bbox_inches="tight") + print(f"Saved: {fname}") + plt.show() + + +def print_summary(histories: List[History]): + print(f"\n{'Optimizer':<12} {'Final x':>10} {'Final y':>10} {'Final f':>14}") + print("-" * 50) + for h in histories: + fx, fy, ff = h.final() + print(f"{h.name:<12} {fx:>10.5f} {fy:>10.5f} {ff:>14.6e}") + print() + + +# --------------------------------------------------------------------------- +# Entry point +# --------------------------------------------------------------------------- + +if __name__ == "__main__": + + # ---- Choose function & starting point ---- + FUNCTION = rosenbrock # rosenbrock | himmelblau | beale | sphere + START = (-2.0, -1.0) # (x0, y0) + STEPS = 2000 + PLOT_XLIM = (-2.5, 2.5) + PLOT_YLIM = (-1.0, 3.5) + TITLE = "Rosenbrock" + # Known global minimum (or minima) — used to mark the target on the plots. + # rosenbrock: [(1, 1)] | himmelblau: 4 minima | beale: [(3, 0.5)] | sphere: [(0, 0)] + TRUE_MIN = [(1.0, 1.0)] + + # ---- Per-solver hyperparameters ---- + # Tune these if switching functions + ADAM_LR = 0.5 + NEWTON_LR = 0.75 + SGD_LR = 0.0001 + SGDSIGN_LR = 0.01 + SIGNUM_LR = 0.01 + LION_LR = 0.0018 + + x0, y0 = START + + print(f"Function : {FUNCTION.__name__}") + print(f"Start : {START}") + print(f"Steps : {STEPS}\n") + + histories = [ + run_adam (FUNCTION, x0, y0, lr=ADAM_LR, steps=STEPS), + run_newton (FUNCTION, x0, y0, lr=NEWTON_LR, steps=STEPS), + run_sgd (FUNCTION, x0, y0, lr=SGD_LR, steps=STEPS), + run_sgdsign (FUNCTION, x0, y0, lr=SGDSIGN_LR, steps=STEPS), + run_signum (FUNCTION, x0, y0, lr=SIGNUM_LR, steps=STEPS), + run_lion (FUNCTION, x0, y0, lr=LION_LR, steps=STEPS), + ] + + print_summary(histories) + plot_contour_2d(histories, FUNCTION, PLOT_XLIM, PLOT_YLIM, + title=TITLE, true_min=TRUE_MIN) + plot_surface_3d(histories, FUNCTION, PLOT_XLIM, PLOT_YLIM, + title=TITLE, true_min=TRUE_MIN) + f_min = min(FUNCTION(tx, ty) for tx, ty in TRUE_MIN) if TRUE_MIN else None + plot_convergence(histories, title=TITLE, f_min=f_min) diff --git a/setup_imagenet_model.py b/setup_imagenet_model.py new file mode 100644 index 0000000..eecc195 --- /dev/null +++ b/setup_imagenet_model.py @@ -0,0 +1,143 @@ +""" +setup_imagenet_model.py — Pretrained VGG-16 wrapper for the ZOO L2 attack. + +The attack pipeline normalises every dataset with + Normalize(mean=(0.5,), std=(1.0,)) → pixel ∈ [-0.5, 0.5] + +The VGG16Wrapper undoes that shift and applies the standard ImageNet +normalisation internally, so the attack code requires zero changes. + +Download: + Weights are fetched automatically by torchvision on first use + (~550 MB, cached in ~/.cache/torch/hub). + +Quick model-accuracy check: + python setup_imagenet_model.py --val_dir /path/to/imagenet/val +""" + +import argparse +import torch +import torch.nn as nn +from torchvision import models, transforms, datasets +from torch.utils.data import DataLoader + + +# ── ImageNet statistics ────────────────────────────────────────────────────── +_IMAGENET_MEAN = torch.tensor([0.485, 0.456, 0.406]).view(1, 3, 1, 1) +_IMAGENET_STD = torch.tensor([0.229, 0.224, 0.225]).view(1, 3, 1, 1) + + +class VGG16Wrapper(nn.Module): + """ + VGG-16 pretrained on ImageNet wrapped to accept inputs in [-0.5, 0.5] + (the normalisation used throughout this codebase). + + Forward pass: + x ∈ [-0.5, 0.5] (attack-pipeline convention) + → x + 0.5 ∈ [0, 1] + → ImageNet normalise + → VGG-16 logits (shape: batch × 1000) + """ + + def __init__(self, pretrained: bool = True): + super().__init__() + weights = models.VGG16_Weights.IMAGENET1K_V1 if pretrained else None + self.vgg = models.vgg16(weights=weights) + + def forward(self, x: torch.Tensor) -> torch.Tensor: + # Undo the (mean=0.5, std=1.0) shift used by the attack's DataLoader + x = x + 0.5 # → [0, 1] + # Apply ImageNet normalisation + mean = _IMAGENET_MEAN.to(x.device, x.dtype) + std = _IMAGENET_STD.to(x.device, x.dtype) + x = (x - mean) / std + return self.vgg(x) + + +# ── Convenience transform for ImageNet images ──────────────────────────────── + +def imagenet_transform(image_size: int = 224) -> transforms.Compose: + """ + Standard ImageNet eval transform, ending with Normalize((0.5,),(1.0,)) + so it matches the convention expected by VGG16Wrapper. + """ + return transforms.Compose([ + transforms.Resize(256), + transforms.CenterCrop(image_size), + transforms.ToTensor(), # → [0, 1] + transforms.Normalize(mean=(0.5, 0.5, 0.5), + std=(1.0, 1.0, 1.0)), # → [-0.5, 0.5] + ]) + + +def imagenet_loader(val_dir: str, + batch_size: int = 1, + shuffle: bool = True, + num_workers: int = 2) -> DataLoader: + """ + Build a DataLoader from an ImageNet-style directory: + val_dir/ + n01440764/ ← synset folder + *.JPEG + n01443537/ + ... + + If val_dir contains .JPEG/.jpg/.png files directly (flat layout), + wrap them as a single pseudo-class — useful for small custom sets. + """ + dataset = datasets.ImageFolder(root=val_dir, + transform=imagenet_transform()) + return DataLoader(dataset, + batch_size=batch_size, + shuffle=shuffle, + num_workers=num_workers, + pin_memory=True) + + +# ── ImageNet top-1000 class names (synset → readable) ─────────────────────── + +def get_imagenet_labels() -> list[str]: + """ + Returns a list of 1000 human-readable ImageNet class names, + downloaded once via torchvision's built-in metadata. + """ + weights = models.VGG16_Weights.IMAGENET1K_V1 + return weights.meta["categories"] + + +# ── Quick accuracy check ───────────────────────────────────────────────────── + +def check_accuracy(model: nn.Module, + loader: DataLoader, + device: torch.device, + max_batches: int = 100) -> float: + model.eval() + correct = total = 0 + with torch.no_grad(): + for i, (imgs, labels) in enumerate(loader): + if i >= max_batches: + break + imgs, labels = imgs.to(device), labels.to(device) + preds = model(imgs).argmax(dim=1) + correct += (preds == labels).sum().item() + total += labels.size(0) + acc = correct / total if total > 0 else 0.0 + print(f"Top-1 accuracy: {acc*100:.2f}% ({correct}/{total})") + return acc + + +if __name__ == "__main__": + parser = argparse.ArgumentParser() + parser.add_argument("--val_dir", required=True, + help="Path to ImageNet val directory (ImageFolder layout)") + parser.add_argument("--max_batches", type=int, default=200) + parser.add_argument("--device", default="cuda" if torch.cuda.is_available() else "cpu") + args = parser.parse_args() + + device = torch.device(args.device) + print(f"Loading VGG-16 (pretrained) on {device} …") + model = VGG16Wrapper(pretrained=True).to(device) + model.eval() + + loader = imagenet_loader(args.val_dir, batch_size=32, shuffle=False, num_workers=4) + check_accuracy(model, loader, device, max_batches=args.max_batches) diff --git a/zoo_l2_attack_black.ipynb b/zoo_l2_attack_black.ipynb new file mode 100644 index 0000000..3715458 --- /dev/null +++ b/zoo_l2_attack_black.ipynb @@ -0,0 +1,1914 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "08d2a9b4", + "metadata": { + "id": "08d2a9b4" + }, + "source": [ + "# ZOO: Zeroth Order Optimization — L2 Black-Box Attack\n", + "PyTorch implementation of the [ZOO attack](https://arxiv.org/abs/1708.03999). \n", + "Generates adversarial examples by estimating gradients via coordinate-wise finite differences — no model gradients needed.\n", + "\n", + "Available solvers: `adam`, `newton`, `sgd`, `signsgd`, `lion`" + ] + }, + { + "cell_type": "markdown", + "id": "55740d53", + "metadata": { + "id": "55740d53" + }, + "source": [ + "## 1. Imports" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3672a8cb", + "metadata": { + "id": "3672a8cb" + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import torch\n", + "import torch.nn.functional as F\n", + "from torchvision import transforms, datasets\n", + "import math\n", + "import time\n", + "import os\n", + "import sys\n", + "import json\n", + "from PIL import Image\n", + "from skimage.metrics import peak_signal_noise_ratio as calc_psnr\n", + "from skimage.metrics import structural_similarity as calc_ssim\n", + "from setup_mnist_model import MNIST\n", + "from setup_cifar10_model import CIFAR10\n", + "from setup_imagenet_model import VGG16Wrapper, imagenet_transform, get_imagenet_labels\n" + ] + }, + { + "cell_type": "markdown", + "id": "733f48a9", + "metadata": { + "id": "733f48a9" + }, + "source": [ + "## 2. Coordinate Descent Solvers (GPU-native)\n", + "All solvers are pure PyTorch — no Numba, no CPU↔GPU copies. Gradient is estimated via symmetric finite differences on GPU tensors. All state (`mt`, `vt`, `adam_epoch`, `modifier_up/down`) lives on the device throughout." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "afdc5b1e", + "metadata": { + "id": "afdc5b1e" + }, + "outputs": [], + "source": [ + "# All solvers operate entirely on GPU tensors — no CPU round-trips.\n", + "# Signature: (losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj)\n", + "# losses : 1-D GPU float tensor, shape (2*batch_size+1,) — [cur, +d0, -d0, +d1, -d1, ...]\n", + "# indice : 1-D GPU long tensor, shape (batch_size,) — pixel indices being updated\n", + "# mt, vt : 1-D GPU float32 tensors, shape (var_len,) — momentum buffers\n", + "# adam_epoch : 1-D GPU float32 tensor, shape (var_len,) — per-coord step counter\n", + "# real_modifier: GPU float32 tensor, shape (1, C, H, W) — perturbation (modified in-place)\n", + "# up, down : 1-D GPU float32 tensors, shape (var_len,) — projection bounds\n", + "\n", + "def coordinate_ADAM(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float() # cast to float32 to match state tensors\n", + " mt[indice] = beta1 * mt[indice] + (1 - beta1) * g\n", + " vt[indice] = beta2 * vt[indice] + (1 - beta2) * g * g\n", + " epoch = adam_epoch[indice]\n", + " corr = torch.sqrt(1 - beta2 ** epoch) / (1 - beta1 ** epoch)\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * corr * mt[indice] / (torch.sqrt(vt[indice]) + 1e-8)\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + " adam_epoch[indice] += 1\n", + "\n", + "\n", + "def coordinate_Newton(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " cur_loss = losses[0]\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " hess = ((losses[1::2] - 2 * cur_loss + losses[2::2]) / (0.0001 ** 2)).float()\n", + " hess = torch.where(hess < 0, torch.ones_like(hess), hess) # negative hess → 1.0\n", + " hess = torch.clamp(hess, min=0.1) # hess < 0.1 → 0.1\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * g / hess\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + "\n", + "\n", + "def coordinate_SGD(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " \"\"\"Vanilla gradient descent — no momentum.\"\"\"\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * g\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + "\n", + "def coordinate_SGDSign(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " \"\"\"SGDSign — step is step_size * sign(g), no momentum.\"\"\"\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * torch.sign(g)\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + "\n", + "def coordinate_Signum(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " \"\"\"Signum — step is step_size * sign(m), where m is an EMA of gradients.\"\"\"\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " mt[indice] = beta1 * mt[indice] + (1 - beta1) * g\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * torch.sign(mt[indice])\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + "\n", + "\n", + "def coordinate_Lion(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " \"\"\"Lion optimizer (EvoLved Sign Momentum) — arxiv.org/abs/2302.06675\n", + " u = sign(beta1*m + (1-beta1)*g) -> theta -= lr*u -> m = beta2*m + (1-beta2)*g\n", + " \"\"\"\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " update = torch.sign(beta1 * mt[indice] + (1 - beta1) * g)\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * update\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + " mt[indice] = beta2 * mt[indice] + (1 - beta2) * g # momentum updated AFTER the step\n", + "\n", + "def coordinate_AdaHessian(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj):\n", + " \"\"\"AdaHessian (Yao et al., 2021) — arxiv.org/abs/2006.00719\n", + " Second moment tracks EMA of h², where h is the FD Hessian diagonal.\n", + " Negative-curvature coordinates fall back to h=1 (same as Newton) to avoid\n", + " freezing in saddle regions. vt is initialised effectively at hess_floor² to\n", + " avoid the cold-start blow-up that occurs when vt≈0 at the first iterations.\n", + "\n", + " mt : EMA of gradient (first moment)\n", + " vt : EMA of h² (second moment — Hessian-based, not gradient-based)\n", + " Update: theta -= lr * m_hat / (sqrt(v_hat) + eps)\n", + " \"\"\"\n", + " HESS_FLOOR = 0.1 # match Newton's floor so saddle regions behave consistently\n", + " cur_loss = losses[0]\n", + " g = ((losses[1::2] - losses[2::2]) / 0.0002).float()\n", + " hess = ((losses[1::2] - 2 * cur_loss + losses[2::2]) / (0.0001 ** 2)).float()\n", + " # Negative curvature → fall back to 1.0, same policy as Newton\n", + " hess = torch.where(hess < 0, torch.ones_like(hess), hess)\n", + " hess = torch.clamp(hess, min=HESS_FLOOR)\n", + "\n", + " mt[indice] = beta1 * mt[indice] + (1 - beta1) * g\n", + " vt[indice] = beta2 * vt[indice] + (1 - beta2) * hess * hess # EMA of h²\n", + "\n", + " epoch = adam_epoch[indice]\n", + " corr = torch.sqrt(1 - beta2 ** epoch) / (1 - beta1 ** epoch)\n", + "\n", + " m = real_modifier.view(-1)\n", + " m[indice] = m[indice] - step_size * corr * mt[indice] / (torch.sqrt(vt[indice]) + 1e-8)\n", + " if proj:\n", + " m[indice] = torch.clamp(m[indice], down[indice], up[indice])\n", + " adam_epoch[indice] += 1" + ] + }, + { + "cell_type": "markdown", + "id": "d39ea992", + "metadata": { + "id": "d39ea992" + }, + "source": [ + "## 3. Loss Function\n", + "Computes the ZOO objective: $\\|x' - x\\|_2^2 + c \\cdot f(x')$ \n", + "where $f(x')$ penalises correct classification (targeted or untargeted)." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "72b73081", + "metadata": { + "id": "72b73081" + }, + "outputs": [], + "source": [ + "def loss_run(input, target, model, modifier, use_tanh, use_log, targeted, confidence, const, device='cpu'):\n", + " if use_tanh:\n", + " pert_out = torch.tanh(input + modifier) / 2\n", + " else:\n", + " pert_out = input + modifier\n", + "\n", + " output = model(pert_out)\n", + " if use_log:\n", + " output = F.softmax(output, -1)\n", + "\n", + " if use_tanh:\n", + " loss1 = torch.sum(torch.square(pert_out - torch.tanh(input) / 2), dim=(1, 2, 3))\n", + " else:\n", + " loss1 = torch.sum(torch.square(pert_out - input), dim=(1, 2, 3))\n", + "\n", + " real = torch.sum(target * output, -1)\n", + " other = torch.max((1 - target) * output - (target * 10000), -1)[0]\n", + "\n", + " if use_log:\n", + " real = torch.log(real + 1e-30)\n", + " other = torch.log(other + 1e-30)\n", + "\n", + " confidence = torch.tensor(confidence).type(torch.float64).to(device)\n", + "\n", + " if targeted:\n", + " loss2 = torch.max(other - real, confidence)\n", + " else:\n", + " loss2 = torch.max(real - other, confidence)\n", + "\n", + " loss2 = const * loss2\n", + " loss = loss1 + loss2\n", + "\n", + " # losses/l2/loss2 stay on GPU (consumed by solvers); scores+pert_images go to CPU for output\n", + " return loss.detach(), loss1.detach(), loss2.detach(), output.detach().cpu().numpy(), pert_out.detach().cpu().numpy()\n", + "\n", + "def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, device='cpu', reset_adam_after_found=True,abort_early=True,\n", + " batch_size=128,max_iter=1000,const=0.01,confidence=0.0,early_stop_iters=100, binary_search_steps=9,\n", + " step_size=0.01,adam_beta1=0.9,adam_beta2=0.999):\n", + "\n", + " early_stop_iters = early_stop_iters if early_stop_iters != 0 else max_iter // 10\n", + "\n", + " input = torch.from_numpy(input).to(device)\n", + " target = torch.from_numpy(target).to(device)\n", + "\n", + " var_len = input.view(-1).size()[0]\n", + " # All state tensors live on device — no CPU↔GPU copies during the attack loop\n", + " modifier_up = torch.zeros(var_len, dtype=torch.float32, device=device)\n", + " modifier_down = torch.zeros(var_len, dtype=torch.float32, device=device)\n", + " real_modifier = torch.zeros(input.size(), dtype=torch.float32, device=device)\n", + " mt = torch.zeros(var_len, dtype=torch.float32, device=device)\n", + " vt = torch.zeros(var_len, dtype=torch.float32, device=device)\n", + " adam_epoch = torch.ones(var_len, dtype=torch.float32, device=device)\n", + "\n", + " upper_bound=1e10\n", + " lower_bound=0.0\n", + " out_best_attack=input.clone().detach().cpu().numpy()\n", + " out_best_const=const\n", + " out_bestl2=1e10\n", + " out_bestscore=-1\n", + "\n", + "\n", + " if use_tanh:\n", + " input = torch.atanh(input*1.99999)\n", + "\n", + " if not use_tanh:\n", + " flat = input.clone().detach().view(-1)\n", + " modifier_up = 0.5 - flat\n", + " modifier_down = -0.5 - flat\n", + "\n", + " def compare(x,y):\n", + " if not isinstance(x, (float, int, np.int64)):\n", + " if targeted:\n", + " x[y] -= confidence\n", + " else:\n", + " x[y] += confidence\n", + " x = np.argmax(x)\n", + " if targeted:\n", + " return x == y\n", + " else:\n", + " return x != y\n", + "\n", + " for step in range(binary_search_steps):\n", + " bestl2 = 1e10\n", + " prev=1e6\n", + " bestscore=-1\n", + " last_loss2=1.0\n", + " # reset solver state\n", + " mt.zero_()\n", + " vt.zero_()\n", + " adam_epoch.fill_(1)\n", + " stage=0\n", + "\n", + " for iter in range(max_iter):\n", + " if (iter+1)%100 == 0:\n", + " loss, l2, loss2, _ , __ = loss_run(input,target,model,real_modifier,use_tanh,use_log,targeted,confidence,const,device)\n", + " print(\"[STATS][L2] iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}\".format(iter+1, loss[0].item(), l2[0].item(), loss2[0].item()))\n", + " sys.stdout.flush()\n", + "\n", + " # Sample random coordinates entirely on GPU — no numpy, no CPU transfer\n", + " indice = torch.randperm(var_len, device=device)[:batch_size]\n", + " # Build (2*batch_size+1) perturbed copies of real_modifier on GPU\n", + " var = real_modifier.expand(batch_size * 2 + 1, *input.shape[1:]).clone()\n", + " flat_var = var.view(batch_size * 2 + 1, -1)\n", + " pos_idx = torch.arange(batch_size, device=device) * 2 + 1\n", + " neg_idx = torch.arange(batch_size, device=device) * 2 + 2\n", + " flat_var[pos_idx, indice] += 0.0001\n", + " flat_var[neg_idx, indice] -= 0.0001\n", + "\n", + " losses, l2s, losses2, scores, pert_images = loss_run(input,target,model,var,use_tanh,use_log,targeted,confidence,const,device)\n", + "\n", + " # Solver updates real_modifier in-place — everything stays on GPU\n", + " if solver==\"adam\":\n", + " coordinate_ADAM(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"newton\":\n", + " coordinate_Newton(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"sgd\":\n", + " coordinate_SGD(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"sgdsign\":\n", + " coordinate_SGDSign(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"signum\":\n", + " coordinate_Signum(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"lion\":\n", + " coordinate_Lion(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + " if solver==\"adahessian\":\n", + " coordinate_AdaHessian(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh)\n", + "\n", + " loss2_val = losses2[0].item()\n", + " if loss2_val==0.0 and last_loss2!=0.0 and stage==0:\n", + " if reset_adam_after_found:\n", + " mt.zero_()\n", + " vt.zero_()\n", + " adam_epoch.fill_(1)\n", + " stage=1\n", + " last_loss2=loss2_val\n", + "\n", + " loss_val = losses[0].item()\n", + " if abort_early and (iter+1) % early_stop_iters == 0:\n", + " if loss_val > prev*.9999:\n", + " print(\"Early stopping because there is no improvement\")\n", + " break\n", + " prev = loss_val\n", + "\n", + " l2_val = l2s[0].item()\n", + " target_label = np.argmax(target.detach().cpu().numpy(),-1)\n", + " if l2_val < bestl2 and compare(scores[0], target_label):\n", + " bestl2 = l2_val\n", + " bestscore = np.argmax(scores[0])\n", + "\n", + " if l2_val < out_bestl2 and compare(scores[0], target_label):\n", + " if out_bestl2 == 1e10:\n", + " print(\"[STATS][L3](First valid attack found!) iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}\".format(iter+1, loss_val, l2_val, loss2_val))\n", + " sys.stdout.flush()\n", + " out_bestl2 = l2_val\n", + " out_bestscore = np.argmax(scores[0])\n", + " out_best_attack = pert_images[0]\n", + " out_best_const = const\n", + "\n", + " if compare(bestscore, np.argmax(target.detach().cpu().numpy(),-1)) and bestscore != -1:\n", + " print('old constant: ', const)\n", + " upper_bound = min(upper_bound,const)\n", + " if upper_bound < 1e9:\n", + " const = (lower_bound + upper_bound)/2\n", + " print('new constant: ', const)\n", + " else:\n", + " print('old constant: ', const)\n", + " lower_bound = max(lower_bound,const)\n", + " if upper_bound < 1e9:\n", + " const = (lower_bound + upper_bound)/2\n", + " else:\n", + " const *= 10\n", + " print('new constant: ', const)\n", + "\n", + " return out_best_attack, out_bestscore" + ] + }, + { + "cell_type": "markdown", + "id": "d3614cb9", + "metadata": { + "id": "d3614cb9" + }, + "source": [ + "## 4. L2 Attack Core\n", + "Runs binary search over the constant $c$, with coordinate descent in each step." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1bcd06ed", + "metadata": { + "id": "1bcd06ed" + }, + "outputs": [], + "source": [ + "def generate_data(test_loader, targeted, samples, start, num_label=10):\n", + " inputs = []\n", + " targets = []\n", + " cnt = 0\n", + " for i, data in enumerate(test_loader):\n", + " if cnt < samples:\n", + " if i > start:\n", + " data, label = data[0], data[1]\n", + " if targeted:\n", + " for j in range(num_label):\n", + " if j == label.item():\n", + " continue\n", + " inputs.append(data[0].numpy())\n", + " targets.append(np.eye(num_label)[j])\n", + " else:\n", + " inputs.append(data[0].numpy())\n", + " targets.append(np.eye(num_label)[label.item()])\n", + " cnt += 1\n", + " else:\n", + " break\n", + " return np.array(inputs), np.array(targets)\n", + "\n", + "\n", + "def run_attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size=0.01):\n", + " r = []\n", + " print('go up to', len(inputs))\n", + " for i in range(len(inputs)):\n", + " print('tick', i + 1)\n", + " adv, score = l2_attack(np.expand_dims(inputs[i], 0), np.expand_dims(targets[i], 0),\n", + " model, targeted, use_log, use_tanh, solver, device=device,\n", + " step_size=step_size)\n", + " r.append(adv)\n", + " return np.array(r)\n" + ] + }, + { + "cell_type": "markdown", + "id": "245d99b6", + "metadata": { + "id": "245d99b6" + }, + "source": [ + "## 5. Data Generation & Attack Runner" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d64ee433", + "metadata": { + "id": "d64ee433" + }, + "outputs": [], + "source": [ + "def generate_data(test_loader, targeted, samples, start, num_label=10):\n", + " inputs = []\n", + " targets = []\n", + " cnt = 0\n", + " for i, data in enumerate(test_loader):\n", + " if cnt < samples:\n", + " if i > start:\n", + " data, label = data[0], data[1]\n", + " if targeted:\n", + " for j in range(num_label):\n", + " if j == label.item():\n", + " continue\n", + " inputs.append(data[0].numpy())\n", + " targets.append(np.eye(num_label)[j])\n", + " else:\n", + " inputs.append(data[0].numpy())\n", + " targets.append(np.eye(num_label)[label.item()])\n", + " cnt += 1\n", + " else:\n", + " break\n", + " return np.array(inputs), np.array(targets)\n", + "\n", + "\n", + "def run_attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size):\n", + " r = []\n", + " print('go up to', len(inputs))\n", + " for i in range(len(inputs)):\n", + " print('tick', i + 1)\n", + " adv, score = l2_attack(np.expand_dims(inputs[i], 0), np.expand_dims(targets[i], 0),\n", + " model, targeted, use_log, use_tanh, solver, device=device, step_size=step_size)\n", + " r.append(adv)\n", + " return np.array(r)\n" + ] + }, + { + "cell_type": "markdown", + "id": "4295d134", + "metadata": { + "id": "4295d134" + }, + "source": [ + "## 6. Configuration\n", + "Edit the settings below to switch between MNIST/CIFAR-10, targeted/untargeted, and solver." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d3ed06f0", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "d3ed06f0", + "outputId": "e04192f5-c062-49fb-a63e-8c52eebaa15c" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using device: cuda\n" + ] + } + ], + "source": [ + "np.random.seed(42)\n", + "torch.manual_seed(42)\n", + "\n", + "use_cuda = True\n", + "device = torch.device(\"cuda\" if (use_cuda and torch.cuda.is_available()) else \"cpu\")\n", + "print(\"Using device:\", device)\n", + "\n", + "# --- Dataset ---\n", + "# Uncomment one block:\n", + "\n", + "# MNIST\n", + "# dataset_name = \"mnist\"\n", + "# transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (1.0,))])\n", + "# test_set = datasets.MNIST(root='./data', train=False, transform=transform, download=True)\n", + "\n", + "# CIFAR-10\n", + "dataset_name = \"cifar10\"\n", + "transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (1.0,))])\n", + "test_set = datasets.CIFAR10(root='./data', train=False, transform=transform, download=True)\n", + "\n", + "# ImageNet (using a small subset for testing)\n", + "# dataset_name = \"imagenet\"\n", + "# test_set = datasets.ImageFolder(root='./data/imagenet_subset', transform=imagenet_transform())\n", + "\n", + "\n", + "test_loader = torch.utils.data.DataLoader(test_set, batch_size=1, shuffle=True)\n", + "\n", + "# --- Model ---\n", + "# model = MNIST().to(device)\n", + "# model.load_state_dict(torch.load('./models/mnist_model.pt', map_location=device, weights_only=False))\n", + "\n", + "model = CIFAR10().to(device)\n", + "model.load_state_dict(torch.load('./models/cifar10_model.pt', map_location=device, weights_only=False))\n", + "model.eval()\n", + "\n", + "# model = VGG16Wrapper().to(device)\n", + "# model.load_state_dict(torch.load('./models/imagenet_vgg16.pt', map_location=device, weights_only=False))\n", + "# model.eval()\n", + "\n", + "\n", + "# --- Attack settings ---\n", + "use_log = True\n", + "use_tanh = True\n", + "targeted = False\n", + "solver = \"adahessian\" # \"adam\" | \"newton\" | \"sgd\" | \"sgdsign\" | \"signum\" | \"lion\" | \"adahessian\"\n", + "samples = 10\n", + "start = 6\n", + "\n", + "# ── Per-optimizer learning rates ─────────────────────────────────────────\n", + "ADAM_LR = 0.01\n", + "NEWTON_LR = 0.01\n", + "SGD_LR = 0.01\n", + "SGDSIGN_LR = 0.01\n", + "SIGNUM_LR = 0.001\n", + "LION_LR = 0.01\n", + "ADAHESSIAN_LR = 0.01\n", + "\n", + "lr_map = {\n", + " \"adam\": ADAM_LR,\n", + " \"newton\": NEWTON_LR,\n", + " \"sgd\": SGD_LR,\n", + " \"sgdsign\": SGDSIGN_LR,\n", + " \"signum\": SIGNUM_LR,\n", + " \"lion\": LION_LR,\n", + " \"adahessian\": ADAHESSIAN_LR,\n", + "}\n", + "step_size = lr_map[solver]" + ] + }, + { + "cell_type": "markdown", + "id": "237c32cf", + "metadata": { + "id": "237c32cf" + }, + "source": [ + "## 6.5 Exclude the misclassified examples" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "45c52e81", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "45c52e81", + "outputId": "3f310fd7-4794-440b-e24a-79484810244f" + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.12/dist-packages/torch/nn/modules/dropout.py:176: UserWarning: dropout2d: Received a 2-D input to dropout2d, which is deprecated and will result in an error in a future release. To retain the behavior and silence this warning, please use dropout instead. Note that dropout2d exists to provide channel-wise dropout on inputs with 2 spatial dimensions, a channel dimension, and an optional batch dimension (i.e. 3D or 4D inputs).\n", + " return F.dropout2d(input, self.p, self.training, self.inplace)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model accuracy on original samples: 77.5142599819874 %\n", + "labels: [3 5 8 ... 6 3 4]\n", + "Class 0 accuracy: 80.00%\n", + "Class 1 accuracy: 87.89%\n", + "Class 2 accuracy: 64.39%\n", + "Class 3 accuracy: 61.00%\n", + "Class 4 accuracy: 76.60%\n", + "Class 5 accuracy: 65.97%\n", + "Class 6 accuracy: 82.10%\n", + "Class 7 accuracy: 83.98%\n", + "Class 8 accuracy: 86.80%\n", + "Class 9 accuracy: 86.39%\n", + "Number of correctly classified samples: 7746\n" + ] + } + ], + "source": [ + "data, label = generate_data(test_loader,targeted=False,samples=len(test_loader),start=6)\n", + "pred = model(torch.from_numpy(data).to(device))\n", + "pred = torch.argmax(pred,dim=-1).cpu().numpy()\n", + "label = np.argmax(label,axis=-1)\n", + "acc = (pred==label).sum()/len(pred)\n", + "print(\"Model accuracy on original samples: \", acc*100.0, \"%\")\n", + "# per class classification accuracy\n", + "print(\"labels: \", label)\n", + "for i in range(10):\n", + " idx = label==i\n", + " acc = (pred[idx]==label[idx]).sum()/idx.sum()\n", + " print(\"Class {} accuracy: {:.2f}%\".format(i, acc*100.0))\n", + "\n", + "# exclude the missclassifed samples from the attack evaluation\n", + "data = data[pred==label]\n", + "label = label[pred==label]\n", + "print(\"Number of correctly classified samples: \", len(data))\n", + "test_loader = torch.utils.data.DataLoader(torch.utils.data.TensorDataset(torch.from_numpy(data), torch.from_numpy(label)), batch_size=1, shuffle=False)" + ] + }, + { + "cell_type": "markdown", + "id": "b56f1fc3", + "metadata": { + "id": "b56f1fc3" + }, + "source": [ + "## 7. Run the Attack" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "bd07a819", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "bd07a819", + "outputId": "6a364f8d-cec3-4939-fa2b-2c8a7930cce8" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "go up to 10\n", + "tick 1\n", + "[STATS][L2] iter = 100, loss = 0.25334, loss1 = 0.00028, loss2 = 0.25305\n", + "[STATS][L2] iter = 200, loss = 0.25144, loss1 = 0.00048, loss2 = 0.25097\n", + "[STATS][L2] iter = 300, loss = 0.25009, loss1 = 0.00062, loss2 = 0.24947\n", + "[STATS][L2] iter = 400, loss = 0.24881, loss1 = 0.00078, loss2 = 0.24803\n", + "[STATS][L2] iter = 500, loss = 0.24765, loss1 = 0.00094, loss2 = 0.24672\n", + "[STATS][L2] iter = 600, loss = 0.24649, loss1 = 0.00112, loss2 = 0.24537\n", + "[STATS][L2] iter = 700, loss = 0.24542, loss1 = 0.00130, loss2 = 0.24413\n", + "[STATS][L2] iter = 800, loss = 0.24444, loss1 = 0.00149, loss2 = 0.24296\n", + "[STATS][L2] iter = 900, loss = 0.24351, loss1 = 0.00168, loss2 = 0.24183\n", + "[STATS][L2] iter = 1000, loss = 0.24257, loss1 = 0.00189, loss2 = 0.24068\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 2.08451, loss1 = 0.02701, loss2 = 2.05750\n", + "[STATS][L2] iter = 200, loss = 2.03462, loss1 = 0.03491, loss2 = 1.99971\n", + "[STATS][L2] iter = 300, loss = 2.01534, loss1 = 0.03828, loss2 = 1.97706\n", + "[STATS][L2] iter = 400, loss = 2.00290, loss1 = 0.03931, loss2 = 1.96359\n", + "[STATS][L2] iter = 500, loss = 1.99169, loss1 = 0.04019, loss2 = 1.95151\n", + "[STATS][L2] iter = 600, loss = 1.98077, loss1 = 0.04102, loss2 = 1.93975\n", + "[STATS][L2] iter = 700, loss = 1.97047, loss1 = 0.04180, loss2 = 1.92867\n", + "[STATS][L2] iter = 800, loss = 1.96011, loss1 = 0.04259, loss2 = 1.91752\n", + "[STATS][L2] iter = 900, loss = 1.94947, loss1 = 0.04342, loss2 = 1.90605\n", + "[STATS][L2] iter = 1000, loss = 1.93923, loss1 = 0.04419, loss2 = 1.89504\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L2] iter = 100, loss = 1.45177, loss1 = 0.99992, loss2 = 0.45185\n", + "[STATS][L3](First valid attack found!) iter = 114, loss = 1.05423, loss1 = 1.05423, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.91195, loss1 = 0.91195, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.96314, loss1 = 0.96314, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.84907, loss1 = 0.84907, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.84344, loss1 = 0.84344, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.81730, loss1 = 0.81730, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.80033, loss1 = 0.80033, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.78437, loss1 = 0.78437, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.77351, loss1 = 0.77351, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.76718, loss1 = 0.76718, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.76106, loss1 = 0.76106, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.75603, loss1 = 0.75603, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.75146, loss1 = 0.75146, loss2 = 0.00000\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.67682, loss1 = 0.67682, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.66175, loss1 = 0.66175, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.64549, loss1 = 0.64526, loss2 = 0.00023\n", + "[STATS][L2] iter = 400, loss = 0.63747, loss1 = 0.63747, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.63136, loss1 = 0.63136, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.62503, loss1 = 0.62503, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.62099, loss1 = 0.62099, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.61820, loss1 = 0.61820, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.61561, loss1 = 0.61561, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.61408, loss1 = 0.61408, loss2 = 0.00000\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.56884, loss1 = 0.56884, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.55239, loss1 = 0.55239, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.54526, loss1 = 0.54526, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.54015, loss1 = 0.54015, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.53534, loss1 = 0.53534, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.53150, loss1 = 0.53150, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.52857, loss1 = 0.52857, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.52615, loss1 = 0.52615, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.52430, loss1 = 0.52430, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.52288, loss1 = 0.52288, loss2 = 0.00000\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.47585, loss1 = 0.47585, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.46709, loss1 = 0.46709, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.46495, loss1 = 0.46495, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.46278, loss1 = 0.46278, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.45803, loss1 = 0.45803, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.45586, loss1 = 0.45542, loss2 = 0.00045\n", + "[STATS][L2] iter = 700, loss = 0.45418, loss1 = 0.45418, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.45262, loss1 = 0.45262, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.45154, loss1 = 0.45154, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.45066, loss1 = 0.45066, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.41788, loss1 = 0.41788, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.40613, loss1 = 0.40613, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.40126, loss1 = 0.40126, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.39544, loss1 = 0.39544, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.39267, loss1 = 0.39267, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.39059, loss1 = 0.39059, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.38918, loss1 = 0.38918, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.38791, loss1 = 0.38789, loss2 = 0.00002\n", + "[STATS][L2] iter = 900, loss = 0.38686, loss1 = 0.38686, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.38586, loss1 = 0.38585, loss2 = 0.00001\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.37406, loss1 = 0.37406, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.37005, loss1 = 0.37005, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.36564, loss1 = 0.36564, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.36207, loss1 = 0.36207, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.35992, loss1 = 0.35992, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.35864, loss1 = 0.35858, loss2 = 0.00006\n", + "[STATS][L2] iter = 700, loss = 0.35779, loss1 = 0.35779, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.35680, loss1 = 0.35680, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.35614, loss1 = 0.35614, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.35562, loss1 = 0.35562, loss2 = 0.00000\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 2\n", + "[STATS][L2] iter = 100, loss = 0.11862, loss1 = 0.00025, loss2 = 0.11837\n", + "[STATS][L2] iter = 200, loss = 0.11674, loss1 = 0.00047, loss2 = 0.11628\n", + "[STATS][L2] iter = 300, loss = 0.11533, loss1 = 0.00066, loss2 = 0.11467\n", + "[STATS][L2] iter = 400, loss = 0.11410, loss1 = 0.00085, loss2 = 0.11325\n", + "[STATS][L2] iter = 500, loss = 0.11292, loss1 = 0.00105, loss2 = 0.11187\n", + "[STATS][L2] iter = 600, loss = 0.11197, loss1 = 0.00125, loss2 = 0.11072\n", + "[STATS][L2] iter = 700, loss = 0.11113, loss1 = 0.00145, loss2 = 0.10967\n", + "[STATS][L2] iter = 800, loss = 0.11039, loss1 = 0.00166, loss2 = 0.10873\n", + "[STATS][L2] iter = 900, loss = 0.10967, loss1 = 0.00187, loss2 = 0.10779\n", + "[STATS][L2] iter = 1000, loss = 0.10900, loss1 = 0.00209, loss2 = 0.10690\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 0.89859, loss1 = 0.01673, loss2 = 0.88186\n", + "[STATS][L2] iter = 200, loss = 0.87589, loss1 = 0.02004, loss2 = 0.85585\n", + "[STATS][L2] iter = 300, loss = 0.86593, loss1 = 0.02128, loss2 = 0.84466\n", + "[STATS][L2] iter = 400, loss = 0.85803, loss1 = 0.02205, loss2 = 0.83598\n", + "[STATS][L2] iter = 500, loss = 0.85062, loss1 = 0.02276, loss2 = 0.82787\n", + "[STATS][L2] iter = 600, loss = 0.84365, loss1 = 0.02346, loss2 = 0.82019\n", + "[STATS][L2] iter = 700, loss = 0.83632, loss1 = 0.02420, loss2 = 0.81212\n", + "[STATS][L2] iter = 800, loss = 0.82972, loss1 = 0.02488, loss2 = 0.80485\n", + "[STATS][L2] iter = 900, loss = 0.82295, loss1 = 0.02559, loss2 = 0.79736\n", + "[STATS][L2] iter = 1000, loss = 0.81651, loss1 = 0.02635, loss2 = 0.79016\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 44, loss = 0.40093, loss1 = 0.40093, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.42316, loss1 = 0.42316, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.44870, loss1 = 0.44870, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.42960, loss1 = 0.42960, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.42251, loss1 = 0.42251, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.39061, loss1 = 0.39061, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.37343, loss1 = 0.36936, loss2 = 0.00407\n", + "[STATS][L2] iter = 500, loss = 0.35408, loss1 = 0.35408, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.34164, loss1 = 0.34164, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.33223, loss1 = 0.33223, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.32500, loss1 = 0.32500, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.32004, loss1 = 0.32004, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.31629, loss1 = 0.31629, loss2 = 0.00000\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.30289, loss1 = 0.30289, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.29620, loss1 = 0.29620, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.28805, loss1 = 0.28805, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.27920, loss1 = 0.27920, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.27295, loss1 = 0.27295, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.26907, loss1 = 0.26907, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.26645, loss1 = 0.26645, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.26418, loss1 = 0.26418, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.26308, loss1 = 0.26308, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.26166, loss1 = 0.26166, loss2 = 0.00000\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.25299, loss1 = 0.25299, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.25006, loss1 = 0.25006, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.24535, loss1 = 0.24535, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.24128, loss1 = 0.24128, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.23772, loss1 = 0.23772, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.23528, loss1 = 0.23528, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.23337, loss1 = 0.23337, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.23210, loss1 = 0.23210, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.23111, loss1 = 0.23111, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.23034, loss1 = 0.23034, loss2 = 0.00000\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.22019, loss1 = 0.21862, loss2 = 0.00158\n", + "[STATS][L2] iter = 200, loss = 0.20778, loss1 = 0.20778, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.20092, loss1 = 0.20092, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.19731, loss1 = 0.19727, loss2 = 0.00003\n", + "[STATS][L2] iter = 500, loss = 0.19577, loss1 = 0.19577, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.19447, loss1 = 0.19447, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.19375, loss1 = 0.19375, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.19311, loss1 = 0.19311, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.19264, loss1 = 0.19264, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.19220, loss1 = 0.19220, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.19422, loss1 = 0.19385, loss2 = 0.00037\n", + "[STATS][L2] iter = 200, loss = 0.19245, loss1 = 0.19245, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.19063, loss1 = 0.19063, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.18940, loss1 = 0.18940, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.18845, loss1 = 0.18845, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.18783, loss1 = 0.18783, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.18739, loss1 = 0.18739, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.18698, loss1 = 0.18695, loss2 = 0.00003\n", + "[STATS][L2] iter = 900, loss = 0.18658, loss1 = 0.18658, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.18625, loss1 = 0.18625, loss2 = 0.00000\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.18764, loss1 = 0.18764, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.18699, loss1 = 0.18669, loss2 = 0.00030\n", + "[STATS][L2] iter = 300, loss = 0.18419, loss1 = 0.18419, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.18257, loss1 = 0.18202, loss2 = 0.00055\n", + "[STATS][L2] iter = 500, loss = 0.18103, loss1 = 0.18103, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.18027, loss1 = 0.18027, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.17978, loss1 = 0.17978, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.17936, loss1 = 0.17936, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.17911, loss1 = 0.17911, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.17894, loss1 = 0.17894, loss2 = 0.00000\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 3\n", + "[STATS][L2] iter = 100, loss = 0.02516, loss1 = 0.00106, loss2 = 0.02410\n", + "[STATS][L2] iter = 200, loss = 0.01800, loss1 = 0.00201, loss2 = 0.01598\n", + "[STATS][L2] iter = 300, loss = 0.01263, loss1 = 0.00290, loss2 = 0.00973\n", + "[STATS][L2] iter = 400, loss = 0.00781, loss1 = 0.00378, loss2 = 0.00404\n", + "[STATS][L3](First valid attack found!) iter = 467, loss = 0.00442, loss1 = 0.00442, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00437, loss1 = 0.00436, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00441, loss1 = 0.00441, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.01\n", + "new constant: 0.005\n", + "[STATS][L2] iter = 100, loss = 0.00425, loss1 = 0.00425, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.00415, loss1 = 0.00415, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.00408, loss1 = 0.00408, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.00404, loss1 = 0.00404, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00402, loss1 = 0.00402, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00400, loss1 = 0.00400, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.00399, loss1 = 0.00399, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00398, loss1 = 0.00398, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.00398, loss1 = 0.00398, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00397, loss1 = 0.00397, loss2 = 0.00000\n", + "old constant: 0.005\n", + "new constant: 0.0025\n", + "[STATS][L2] iter = 100, loss = 0.00385, loss1 = 0.00385, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.00380, loss1 = 0.00380, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.00378, loss1 = 0.00378, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.00377, loss1 = 0.00377, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00376, loss1 = 0.00376, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00375, loss1 = 0.00375, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.00374, loss1 = 0.00374, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00373, loss1 = 0.00373, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.00372, loss1 = 0.00372, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00371, loss1 = 0.00371, loss2 = 0.00000\n", + "old constant: 0.0025\n", + "new constant: 0.00125\n", + "[STATS][L2] iter = 100, loss = 0.00356, loss1 = 0.00338, loss2 = 0.00018\n", + "[STATS][L2] iter = 200, loss = 0.00345, loss1 = 0.00314, loss2 = 0.00031\n", + "[STATS][L2] iter = 300, loss = 0.00339, loss1 = 0.00298, loss2 = 0.00041\n", + "[STATS][L2] iter = 400, loss = 0.00333, loss1 = 0.00284, loss2 = 0.00049\n", + "[STATS][L2] iter = 500, loss = 0.00329, loss1 = 0.00271, loss2 = 0.00057\n", + "[STATS][L2] iter = 600, loss = 0.00326, loss1 = 0.00262, loss2 = 0.00064\n", + "[STATS][L2] iter = 700, loss = 0.00323, loss1 = 0.00254, loss2 = 0.00069\n", + "[STATS][L2] iter = 800, loss = 0.00321, loss1 = 0.00247, loss2 = 0.00074\n", + "[STATS][L2] iter = 900, loss = 0.00319, loss1 = 0.00241, loss2 = 0.00078\n", + "[STATS][L2] iter = 1000, loss = 0.00318, loss1 = 0.00236, loss2 = 0.00082\n", + "old constant: 0.00125\n", + "new constant: 0.000625\n", + "[STATS][L2] iter = 100, loss = 0.00255, loss1 = 0.00191, loss2 = 0.00064\n", + "[STATS][L2] iter = 200, loss = 0.00241, loss1 = 0.00159, loss2 = 0.00082\n", + "[STATS][L2] iter = 300, loss = 0.00232, loss1 = 0.00137, loss2 = 0.00096\n", + "[STATS][L2] iter = 400, loss = 0.00226, loss1 = 0.00117, loss2 = 0.00108\n", + "[STATS][L2] iter = 500, loss = 0.00221, loss1 = 0.00102, loss2 = 0.00119\n", + "[STATS][L2] iter = 600, loss = 0.00219, loss1 = 0.00092, loss2 = 0.00127\n", + "[STATS][L2] iter = 700, loss = 0.00217, loss1 = 0.00083, loss2 = 0.00134\n", + "[STATS][L2] iter = 800, loss = 0.00216, loss1 = 0.00076, loss2 = 0.00140\n", + "[STATS][L2] iter = 900, loss = 0.00215, loss1 = 0.00071, loss2 = 0.00144\n", + "[STATS][L2] iter = 1000, loss = 0.00214, loss1 = 0.00067, loss2 = 0.00147\n", + "old constant: 0.000625\n", + "new constant: 0.0009375\n", + "[STATS][L2] iter = 100, loss = 0.00285, loss1 = 0.00077, loss2 = 0.00208\n", + "[STATS][L2] iter = 200, loss = 0.00283, loss1 = 0.00084, loss2 = 0.00199\n", + "[STATS][L2] iter = 300, loss = 0.00281, loss1 = 0.00089, loss2 = 0.00192\n", + "[STATS][L2] iter = 400, loss = 0.00280, loss1 = 0.00095, loss2 = 0.00185\n", + "[STATS][L2] iter = 500, loss = 0.00279, loss1 = 0.00100, loss2 = 0.00179\n", + "[STATS][L2] iter = 600, loss = 0.00279, loss1 = 0.00104, loss2 = 0.00174\n", + "[STATS][L2] iter = 700, loss = 0.00278, loss1 = 0.00108, loss2 = 0.00170\n", + "[STATS][L2] iter = 800, loss = 0.00278, loss1 = 0.00112, loss2 = 0.00166\n", + "[STATS][L2] iter = 900, loss = 0.00278, loss1 = 0.00115, loss2 = 0.00162\n", + "[STATS][L2] iter = 1000, loss = 0.00277, loss1 = 0.00118, loss2 = 0.00159\n", + "old constant: 0.0009375\n", + "new constant: 0.00109375\n", + "[STATS][L2] iter = 100, loss = 0.00302, loss1 = 0.00127, loss2 = 0.00176\n", + "[STATS][L2] iter = 200, loss = 0.00301, loss1 = 0.00133, loss2 = 0.00168\n", + "[STATS][L2] iter = 300, loss = 0.00300, loss1 = 0.00139, loss2 = 0.00161\n", + "[STATS][L2] iter = 400, loss = 0.00299, loss1 = 0.00144, loss2 = 0.00156\n", + "[STATS][L2] iter = 500, loss = 0.00299, loss1 = 0.00148, loss2 = 0.00151\n", + "[STATS][L2] iter = 600, loss = 0.00299, loss1 = 0.00151, loss2 = 0.00147\n", + "[STATS][L2] iter = 700, loss = 0.00298, loss1 = 0.00155, loss2 = 0.00144\n", + "[STATS][L2] iter = 800, loss = 0.00298, loss1 = 0.00158, loss2 = 0.00140\n", + "[STATS][L2] iter = 900, loss = 0.00298, loss1 = 0.00160, loss2 = 0.00138\n", + "[STATS][L2] iter = 1000, loss = 0.00298, loss1 = 0.00162, loss2 = 0.00136\n", + "old constant: 0.00109375\n", + "new constant: 0.0011718750000000002\n", + "[STATS][L2] iter = 100, loss = 0.00307, loss1 = 0.00167, loss2 = 0.00140\n", + "[STATS][L2] iter = 200, loss = 0.00306, loss1 = 0.00170, loss2 = 0.00137\n", + "[STATS][L2] iter = 300, loss = 0.00306, loss1 = 0.00172, loss2 = 0.00134\n", + "[STATS][L2] iter = 400, loss = 0.00306, loss1 = 0.00175, loss2 = 0.00131\n", + "[STATS][L2] iter = 500, loss = 0.00306, loss1 = 0.00177, loss2 = 0.00129\n", + "[STATS][L2] iter = 600, loss = 0.00306, loss1 = 0.00179, loss2 = 0.00126\n", + "[STATS][L2] iter = 700, loss = 0.00306, loss1 = 0.00181, loss2 = 0.00124\n", + "[STATS][L2] iter = 800, loss = 0.00305, loss1 = 0.00183, loss2 = 0.00123\n", + "[STATS][L2] iter = 900, loss = 0.00305, loss1 = 0.00184, loss2 = 0.00121\n", + "[STATS][L2] iter = 1000, loss = 0.00305, loss1 = 0.00185, loss2 = 0.00120\n", + "old constant: 0.0011718750000000002\n", + "new constant: 0.0012109375000000002\n", + "[STATS][L2] iter = 100, loss = 0.00309, loss1 = 0.00188, loss2 = 0.00121\n", + "[STATS][L2] iter = 200, loss = 0.00309, loss1 = 0.00189, loss2 = 0.00120\n", + "[STATS][L2] iter = 300, loss = 0.00309, loss1 = 0.00191, loss2 = 0.00118\n", + "[STATS][L2] iter = 400, loss = 0.00309, loss1 = 0.00192, loss2 = 0.00116\n", + "[STATS][L2] iter = 500, loss = 0.00309, loss1 = 0.00193, loss2 = 0.00115\n", + "[STATS][L2] iter = 600, loss = 0.00309, loss1 = 0.00195, loss2 = 0.00114\n", + "[STATS][L2] iter = 700, loss = 0.00308, loss1 = 0.00196, loss2 = 0.00113\n", + "[STATS][L2] iter = 800, loss = 0.00308, loss1 = 0.00197, loss2 = 0.00112\n", + "[STATS][L2] iter = 900, loss = 0.00308, loss1 = 0.00197, loss2 = 0.00111\n", + "[STATS][L2] iter = 1000, loss = 0.00308, loss1 = 0.00198, loss2 = 0.00110\n", + "old constant: 0.0012109375000000002\n", + "new constant: 0.0012304687500000002\n", + "tick 4\n", + "[STATS][L2] iter = 100, loss = 0.03755, loss1 = 0.00057, loss2 = 0.03698\n", + "[STATS][L2] iter = 200, loss = 0.03338, loss1 = 0.00104, loss2 = 0.03233\n", + "[STATS][L2] iter = 300, loss = 0.03022, loss1 = 0.00156, loss2 = 0.02865\n", + "[STATS][L2] iter = 400, loss = 0.02764, loss1 = 0.00210, loss2 = 0.02554\n", + "[STATS][L2] iter = 500, loss = 0.02548, loss1 = 0.00258, loss2 = 0.02290\n", + "[STATS][L2] iter = 600, loss = 0.02355, loss1 = 0.00310, loss2 = 0.02045\n", + "[STATS][L2] iter = 700, loss = 0.02193, loss1 = 0.00362, loss2 = 0.01831\n", + "[STATS][L2] iter = 800, loss = 0.02044, loss1 = 0.00414, loss2 = 0.01630\n", + "[STATS][L2] iter = 900, loss = 0.01911, loss1 = 0.00465, loss2 = 0.01447\n", + "[STATS][L2] iter = 1000, loss = 0.01795, loss1 = 0.00515, loss2 = 0.01280\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L3](First valid attack found!) iter = 39, loss = 0.01401, loss1 = 0.01401, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.01463, loss1 = 0.01456, loss2 = 0.00008\n", + "[STATS][L2] iter = 200, loss = 0.01570, loss1 = 0.01570, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.1\n", + "new constant: 0.055\n", + "[STATS][L2] iter = 100, loss = 0.01440, loss1 = 0.01440, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01443, loss1 = 0.01443, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.055\n", + "new constant: 0.0325\n", + "[STATS][L2] iter = 100, loss = 0.01351, loss1 = 0.01351, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01335, loss1 = 0.01335, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01309, loss1 = 0.01309, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01289, loss1 = 0.01289, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01275, loss1 = 0.01275, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01265, loss1 = 0.01265, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.01257, loss1 = 0.01257, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01250, loss1 = 0.01250, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01245, loss1 = 0.01245, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01242, loss1 = 0.01242, loss2 = 0.00000\n", + "old constant: 0.0325\n", + "new constant: 0.02125\n", + "[STATS][L2] iter = 100, loss = 0.01202, loss1 = 0.01202, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01177, loss1 = 0.01177, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01160, loss1 = 0.01159, loss2 = 0.00001\n", + "[STATS][L2] iter = 400, loss = 0.01150, loss1 = 0.01149, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01145, loss1 = 0.01145, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01142, loss1 = 0.01142, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.01139, loss1 = 0.01139, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01138, loss1 = 0.01138, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01136, loss1 = 0.01136, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01134, loss1 = 0.01134, loss2 = 0.00000\n", + "old constant: 0.02125\n", + "new constant: 0.015625\n", + "[STATS][L2] iter = 100, loss = 0.01099, loss1 = 0.01098, loss2 = 0.00001\n", + "[STATS][L2] iter = 200, loss = 0.01080, loss1 = 0.01080, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01068, loss1 = 0.01068, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01060, loss1 = 0.01060, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01057, loss1 = 0.01057, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01055, loss1 = 0.01055, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.01053, loss1 = 0.01053, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01052, loss1 = 0.01052, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01050, loss1 = 0.01050, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01049, loss1 = 0.01049, loss2 = 0.00000\n", + "old constant: 0.015625\n", + "new constant: 0.012812500000000001\n", + "[STATS][L2] iter = 100, loss = 0.01036, loss1 = 0.01035, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01027, loss1 = 0.01027, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01021, loss1 = 0.01021, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01019, loss1 = 0.01019, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01017, loss1 = 0.01017, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01016, loss1 = 0.01016, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.01014, loss1 = 0.01014, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01013, loss1 = 0.01013, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01012, loss1 = 0.01012, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01011, loss1 = 0.01011, loss2 = 0.00000\n", + "old constant: 0.012812500000000001\n", + "new constant: 0.01140625\n", + "[STATS][L2] iter = 100, loss = 0.00994, loss1 = 0.00994, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.00984, loss1 = 0.00984, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.00977, loss1 = 0.00977, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.00975, loss1 = 0.00975, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00974, loss1 = 0.00974, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00972, loss1 = 0.00972, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.00971, loss1 = 0.00971, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00971, loss1 = 0.00971, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.00970, loss1 = 0.00970, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00969, loss1 = 0.00969, loss2 = 0.00000\n", + "old constant: 0.01140625\n", + "new constant: 0.010703125\n", + "[STATS][L2] iter = 100, loss = 0.00966, loss1 = 0.00966, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.00961, loss1 = 0.00961, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.00959, loss1 = 0.00959, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.00957, loss1 = 0.00957, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00956, loss1 = 0.00956, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00955, loss1 = 0.00955, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.00955, loss1 = 0.00955, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00954, loss1 = 0.00954, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.00953, loss1 = 0.00953, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00952, loss1 = 0.00952, loss2 = 0.00000\n", + "old constant: 0.010703125\n", + "new constant: 0.010351562500000001\n", + "tick 5\n", + "[STATS][L2] iter = 100, loss = 0.01296, loss1 = 0.00050, loss2 = 0.01246\n", + "[STATS][L2] iter = 200, loss = 0.01026, loss1 = 0.00090, loss2 = 0.00936\n", + "[STATS][L2] iter = 300, loss = 0.00839, loss1 = 0.00126, loss2 = 0.00713\n", + "[STATS][L2] iter = 400, loss = 0.00695, loss1 = 0.00162, loss2 = 0.00533\n", + "[STATS][L2] iter = 500, loss = 0.00562, loss1 = 0.00199, loss2 = 0.00362\n", + "[STATS][L2] iter = 600, loss = 0.00437, loss1 = 0.00237, loss2 = 0.00200\n", + "[STATS][L2] iter = 700, loss = 0.00318, loss1 = 0.00278, loss2 = 0.00040\n", + "[STATS][L3](First valid attack found!) iter = 729, loss = 0.00289, loss1 = 0.00289, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00284, loss1 = 0.00283, loss2 = 0.00001\n", + "[STATS][L2] iter = 900, loss = 0.00280, loss1 = 0.00280, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00278, loss1 = 0.00278, loss2 = 0.00000\n", + "old constant: 0.01\n", + "new constant: 0.005\n", + "[STATS][L2] iter = 100, loss = 0.00270, loss1 = 0.00270, loss2 = 0.00001\n", + "[STATS][L2] iter = 200, loss = 0.00266, loss1 = 0.00266, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.00264, loss1 = 0.00264, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.00263, loss1 = 0.00263, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.00262, loss1 = 0.00262, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.00261, loss1 = 0.00261, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.00261, loss1 = 0.00261, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.00260, loss1 = 0.00260, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.00260, loss1 = 0.00260, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.00259, loss1 = 0.00259, loss2 = 0.00000\n", + "old constant: 0.005\n", + "new constant: 0.0025\n", + "[STATS][L2] iter = 100, loss = 0.00254, loss1 = 0.00250, loss2 = 0.00004\n", + "[STATS][L2] iter = 200, loss = 0.00250, loss1 = 0.00243, loss2 = 0.00007\n", + "[STATS][L2] iter = 300, loss = 0.00247, loss1 = 0.00238, loss2 = 0.00010\n", + "[STATS][L2] iter = 400, loss = 0.00245, loss1 = 0.00233, loss2 = 0.00012\n", + "[STATS][L2] iter = 500, loss = 0.00243, loss1 = 0.00229, loss2 = 0.00014\n", + "[STATS][L2] iter = 600, loss = 0.00241, loss1 = 0.00225, loss2 = 0.00016\n", + "[STATS][L2] iter = 700, loss = 0.00240, loss1 = 0.00223, loss2 = 0.00018\n", + "[STATS][L2] iter = 800, loss = 0.00239, loss1 = 0.00221, loss2 = 0.00019\n", + "[STATS][L2] iter = 900, loss = 0.00239, loss1 = 0.00219, loss2 = 0.00020\n", + "[STATS][L2] iter = 1000, loss = 0.00238, loss1 = 0.00217, loss2 = 0.00021\n", + "old constant: 0.0025\n", + "new constant: 0.00125\n", + "[STATS][L2] iter = 100, loss = 0.00209, loss1 = 0.00177, loss2 = 0.00031\n", + "[STATS][L2] iter = 200, loss = 0.00199, loss1 = 0.00153, loss2 = 0.00046\n", + "[STATS][L2] iter = 300, loss = 0.00192, loss1 = 0.00135, loss2 = 0.00057\n", + "[STATS][L2] iter = 400, loss = 0.00187, loss1 = 0.00120, loss2 = 0.00068\n", + "[STATS][L2] iter = 500, loss = 0.00184, loss1 = 0.00108, loss2 = 0.00076\n", + "[STATS][L2] iter = 600, loss = 0.00182, loss1 = 0.00099, loss2 = 0.00082\n", + "[STATS][L2] iter = 700, loss = 0.00180, loss1 = 0.00093, loss2 = 0.00087\n", + "[STATS][L2] iter = 800, loss = 0.00179, loss1 = 0.00087, loss2 = 0.00092\n", + "[STATS][L2] iter = 900, loss = 0.00178, loss1 = 0.00083, loss2 = 0.00096\n", + "[STATS][L2] iter = 1000, loss = 0.00178, loss1 = 0.00079, loss2 = 0.00098\n", + "old constant: 0.00125\n", + "new constant: 0.001875\n", + "[STATS][L2] iter = 100, loss = 0.00224, loss1 = 0.00089, loss2 = 0.00135\n", + "[STATS][L2] iter = 200, loss = 0.00222, loss1 = 0.00095, loss2 = 0.00127\n", + "[STATS][L2] iter = 300, loss = 0.00221, loss1 = 0.00100, loss2 = 0.00121\n", + "[STATS][L2] iter = 400, loss = 0.00220, loss1 = 0.00104, loss2 = 0.00116\n", + "[STATS][L2] iter = 500, loss = 0.00219, loss1 = 0.00107, loss2 = 0.00113\n", + "[STATS][L2] iter = 600, loss = 0.00219, loss1 = 0.00110, loss2 = 0.00109\n", + "[STATS][L2] iter = 700, loss = 0.00219, loss1 = 0.00112, loss2 = 0.00106\n", + "[STATS][L2] iter = 800, loss = 0.00218, loss1 = 0.00115, loss2 = 0.00104\n", + "[STATS][L2] iter = 900, loss = 0.00218, loss1 = 0.00117, loss2 = 0.00102\n", + "[STATS][L2] iter = 1000, loss = 0.00218, loss1 = 0.00118, loss2 = 0.00100\n", + "old constant: 0.001875\n", + "new constant: 0.0021875\n", + "[STATS][L2] iter = 100, loss = 0.00233, loss1 = 0.00124, loss2 = 0.00109\n", + "[STATS][L2] iter = 200, loss = 0.00232, loss1 = 0.00128, loss2 = 0.00104\n", + "[STATS][L2] iter = 300, loss = 0.00232, loss1 = 0.00132, loss2 = 0.00100\n", + "[STATS][L2] iter = 400, loss = 0.00231, loss1 = 0.00136, loss2 = 0.00096\n", + "[STATS][L2] iter = 500, loss = 0.00231, loss1 = 0.00139, loss2 = 0.00092\n", + "[STATS][L2] iter = 600, loss = 0.00231, loss1 = 0.00141, loss2 = 0.00089\n", + "[STATS][L2] iter = 700, loss = 0.00230, loss1 = 0.00144, loss2 = 0.00087\n", + "[STATS][L2] iter = 800, loss = 0.00230, loss1 = 0.00146, loss2 = 0.00084\n", + "[STATS][L2] iter = 900, loss = 0.00230, loss1 = 0.00148, loss2 = 0.00082\n", + "[STATS][L2] iter = 1000, loss = 0.00230, loss1 = 0.00150, loss2 = 0.00080\n", + "old constant: 0.0021875\n", + "new constant: 0.0023437500000000003\n", + "[STATS][L2] iter = 100, loss = 0.00235, loss1 = 0.00154, loss2 = 0.00081\n", + "[STATS][L2] iter = 200, loss = 0.00235, loss1 = 0.00158, loss2 = 0.00077\n", + "[STATS][L2] iter = 300, loss = 0.00234, loss1 = 0.00161, loss2 = 0.00073\n", + "[STATS][L2] iter = 400, loss = 0.00234, loss1 = 0.00164, loss2 = 0.00070\n", + "[STATS][L2] iter = 500, loss = 0.00234, loss1 = 0.00166, loss2 = 0.00067\n", + "[STATS][L2] iter = 600, loss = 0.00233, loss1 = 0.00169, loss2 = 0.00064\n", + "[STATS][L2] iter = 700, loss = 0.00233, loss1 = 0.00171, loss2 = 0.00062\n", + "[STATS][L2] iter = 800, loss = 0.00233, loss1 = 0.00174, loss2 = 0.00059\n", + "[STATS][L2] iter = 900, loss = 0.00233, loss1 = 0.00176, loss2 = 0.00057\n", + "[STATS][L2] iter = 1000, loss = 0.00233, loss1 = 0.00177, loss2 = 0.00056\n", + "old constant: 0.0023437500000000003\n", + "new constant: 0.0024218750000000004\n", + "[STATS][L2] iter = 100, loss = 0.00235, loss1 = 0.00180, loss2 = 0.00054\n", + "[STATS][L2] iter = 200, loss = 0.00234, loss1 = 0.00182, loss2 = 0.00053\n", + "[STATS][L2] iter = 300, loss = 0.00234, loss1 = 0.00183, loss2 = 0.00051\n", + "[STATS][L2] iter = 400, loss = 0.00234, loss1 = 0.00184, loss2 = 0.00050\n", + "[STATS][L2] iter = 500, loss = 0.00234, loss1 = 0.00186, loss2 = 0.00048\n", + "[STATS][L2] iter = 600, loss = 0.00234, loss1 = 0.00187, loss2 = 0.00047\n", + "[STATS][L2] iter = 700, loss = 0.00234, loss1 = 0.00188, loss2 = 0.00046\n", + "[STATS][L2] iter = 800, loss = 0.00234, loss1 = 0.00189, loss2 = 0.00045\n", + "[STATS][L2] iter = 900, loss = 0.00234, loss1 = 0.00190, loss2 = 0.00044\n", + "[STATS][L2] iter = 1000, loss = 0.00234, loss1 = 0.00190, loss2 = 0.00044\n", + "old constant: 0.0024218750000000004\n", + "new constant: 0.0024609375000000005\n", + "[STATS][L2] iter = 100, loss = 0.00235, loss1 = 0.00192, loss2 = 0.00043\n", + "[STATS][L2] iter = 200, loss = 0.00235, loss1 = 0.00193, loss2 = 0.00042\n", + "[STATS][L2] iter = 300, loss = 0.00234, loss1 = 0.00194, loss2 = 0.00041\n", + "[STATS][L2] iter = 400, loss = 0.00234, loss1 = 0.00195, loss2 = 0.00040\n", + "[STATS][L2] iter = 500, loss = 0.00234, loss1 = 0.00195, loss2 = 0.00039\n", + "[STATS][L2] iter = 600, loss = 0.00234, loss1 = 0.00196, loss2 = 0.00038\n", + "Early stopping because there is no improvement\n", + "old constant: 0.0024609375000000005\n", + "new constant: 0.00248046875\n", + "tick 6\n", + "[STATS][L2] iter = 100, loss = 0.11560, loss1 = 0.00060, loss2 = 0.11501\n", + "[STATS][L2] iter = 200, loss = 0.11198, loss1 = 0.00106, loss2 = 0.11092\n", + "[STATS][L2] iter = 300, loss = 0.10950, loss1 = 0.00138, loss2 = 0.10813\n", + "[STATS][L2] iter = 400, loss = 0.10743, loss1 = 0.00169, loss2 = 0.10575\n", + "[STATS][L2] iter = 500, loss = 0.10563, loss1 = 0.00200, loss2 = 0.10363\n", + "[STATS][L2] iter = 600, loss = 0.10403, loss1 = 0.00230, loss2 = 0.10173\n", + "[STATS][L2] iter = 700, loss = 0.10250, loss1 = 0.00262, loss2 = 0.09988\n", + "[STATS][L2] iter = 800, loss = 0.10105, loss1 = 0.00295, loss2 = 0.09811\n", + "[STATS][L2] iter = 900, loss = 0.09974, loss1 = 0.00327, loss2 = 0.09646\n", + "[STATS][L2] iter = 1000, loss = 0.09850, loss1 = 0.00361, loss2 = 0.09489\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 0.58676, loss1 = 0.03019, loss2 = 0.55657\n", + "[STATS][L2] iter = 200, loss = 0.49116, loss1 = 0.04996, loss2 = 0.44120\n", + "[STATS][L2] iter = 300, loss = 0.47180, loss1 = 0.05204, loss2 = 0.41976\n", + "[STATS][L2] iter = 400, loss = 0.45647, loss1 = 0.05345, loss2 = 0.40302\n", + "[STATS][L2] iter = 500, loss = 0.44300, loss1 = 0.05472, loss2 = 0.38829\n", + "[STATS][L2] iter = 600, loss = 0.43026, loss1 = 0.05580, loss2 = 0.37447\n", + "[STATS][L2] iter = 700, loss = 0.41752, loss1 = 0.05701, loss2 = 0.36051\n", + "[STATS][L2] iter = 800, loss = 0.40510, loss1 = 0.05816, loss2 = 0.34693\n", + "[STATS][L2] iter = 900, loss = 0.39458, loss1 = 0.05921, loss2 = 0.33537\n", + "[STATS][L2] iter = 1000, loss = 0.38446, loss1 = 0.06020, loss2 = 0.32426\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 9, loss = 0.21571, loss1 = 0.21571, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.26189, loss1 = 0.26189, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.30042, loss1 = 0.30042, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.25971, loss1 = 0.25971, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.26793, loss1 = 0.26287, loss2 = 0.00506\n", + "Early stopping because there is no improvement\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.20263, loss1 = 0.20263, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.19174, loss1 = 0.18929, loss2 = 0.00245\n", + "[STATS][L2] iter = 300, loss = 0.17677, loss1 = 0.17677, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.16806, loss1 = 0.16806, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.16059, loss1 = 0.16059, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.15539, loss1 = 0.15539, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.15108, loss1 = 0.15108, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.14877, loss1 = 0.14877, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.14642, loss1 = 0.14642, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.14476, loss1 = 0.14476, loss2 = 0.00000\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.14352, loss1 = 0.14352, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.13927, loss1 = 0.13927, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.13240, loss1 = 0.13240, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.12636, loss1 = 0.12636, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.12036, loss1 = 0.12036, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.11630, loss1 = 0.11630, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.11282, loss1 = 0.11282, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.11187, loss1 = 0.11187, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.11113, loss1 = 0.11113, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.11054, loss1 = 0.11054, loss2 = 0.00000\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.11182, loss1 = 0.11182, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.11049, loss1 = 0.11049, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.10802, loss1 = 0.10802, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.10415, loss1 = 0.10368, loss2 = 0.00047\n", + "[STATS][L2] iter = 500, loss = 0.10064, loss1 = 0.10064, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.09793, loss1 = 0.09793, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.09607, loss1 = 0.09607, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.09462, loss1 = 0.09462, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.09360, loss1 = 0.09360, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.09316, loss1 = 0.09316, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.09504, loss1 = 0.09344, loss2 = 0.00160\n", + "[STATS][L2] iter = 200, loss = 0.09184, loss1 = 0.09184, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.08983, loss1 = 0.08983, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.08792, loss1 = 0.08792, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.08620, loss1 = 0.08620, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.08454, loss1 = 0.08454, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.08370, loss1 = 0.08370, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.08290, loss1 = 0.08290, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.08260, loss1 = 0.08260, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.08230, loss1 = 0.08230, loss2 = 0.00000\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.08415, loss1 = 0.08415, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.08306, loss1 = 0.08306, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.08221, loss1 = 0.08221, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.08081, loss1 = 0.08081, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.07920, loss1 = 0.07920, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.07856, loss1 = 0.07845, loss2 = 0.00011\n", + "[STATS][L2] iter = 700, loss = 0.07746, loss1 = 0.07746, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.07599, loss1 = 0.07586, loss2 = 0.00013\n", + "[STATS][L2] iter = 900, loss = 0.07505, loss1 = 0.07505, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.07473, loss1 = 0.07472, loss2 = 0.00001\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 7\n", + "[STATS][L2] iter = 100, loss = 0.37656, loss1 = 0.00068, loss2 = 0.37588\n", + "[STATS][L2] iter = 200, loss = 0.37228, loss1 = 0.00116, loss2 = 0.37112\n", + "[STATS][L2] iter = 300, loss = 0.36988, loss1 = 0.00143, loss2 = 0.36846\n", + "[STATS][L2] iter = 400, loss = 0.36792, loss1 = 0.00164, loss2 = 0.36628\n", + "[STATS][L2] iter = 500, loss = 0.36612, loss1 = 0.00185, loss2 = 0.36427\n", + "[STATS][L2] iter = 600, loss = 0.36445, loss1 = 0.00206, loss2 = 0.36239\n", + "[STATS][L2] iter = 700, loss = 0.36282, loss1 = 0.00228, loss2 = 0.36054\n", + "[STATS][L2] iter = 800, loss = 0.36130, loss1 = 0.00250, loss2 = 0.35880\n", + "[STATS][L2] iter = 900, loss = 0.35976, loss1 = 0.00274, loss2 = 0.35703\n", + "[STATS][L2] iter = 1000, loss = 0.35820, loss1 = 0.00299, loss2 = 0.35521\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 2.80636, loss1 = 0.05113, loss2 = 2.75524\n", + "[STATS][L2] iter = 200, loss = 2.74267, loss1 = 0.05941, loss2 = 2.68327\n", + "[STATS][L2] iter = 300, loss = 2.72197, loss1 = 0.06128, loss2 = 2.66069\n", + "[STATS][L2] iter = 400, loss = 2.70554, loss1 = 0.06251, loss2 = 2.64304\n", + "[STATS][L2] iter = 500, loss = 2.68982, loss1 = 0.06363, loss2 = 2.62618\n", + "[STATS][L2] iter = 600, loss = 2.67463, loss1 = 0.06481, loss2 = 2.60983\n", + "[STATS][L2] iter = 700, loss = 2.65957, loss1 = 0.06595, loss2 = 2.59362\n", + "[STATS][L2] iter = 800, loss = 2.64404, loss1 = 0.06709, loss2 = 2.57694\n", + "[STATS][L2] iter = 900, loss = 2.62870, loss1 = 0.06819, loss2 = 2.56051\n", + "[STATS][L2] iter = 1000, loss = 2.61212, loss1 = 0.06937, loss2 = 2.54276\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 18, loss = 0.91805, loss1 = 0.91805, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 1.01403, loss1 = 1.01403, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 1.04998, loss1 = 1.04998, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.84736, loss1 = 0.84736, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.85100, loss1 = 0.85100, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.71886, loss1 = 0.71886, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.74856, loss1 = 0.74856, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.59777, loss1 = 0.59777, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.58779, loss1 = 0.58779, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.56845, loss1 = 0.56521, loss2 = 0.00324\n", + "[STATS][L2] iter = 400, loss = 0.54826, loss1 = 0.54826, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.53526, loss1 = 0.53526, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.52518, loss1 = 0.52518, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.51821, loss1 = 0.51821, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.51092, loss1 = 0.51092, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.50587, loss1 = 0.50587, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.50188, loss1 = 0.50188, loss2 = 0.00000\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.44934, loss1 = 0.44934, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.43525, loss1 = 0.43237, loss2 = 0.00288\n", + "[STATS][L2] iter = 300, loss = 0.42167, loss1 = 0.42058, loss2 = 0.00108\n", + "[STATS][L2] iter = 400, loss = 0.41044, loss1 = 0.41044, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.40510, loss1 = 0.40510, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.40080, loss1 = 0.40080, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.39745, loss1 = 0.39615, loss2 = 0.00129\n", + "[STATS][L2] iter = 800, loss = 0.39328, loss1 = 0.39311, loss2 = 0.00017\n", + "[STATS][L2] iter = 900, loss = 0.39046, loss1 = 0.39046, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.38824, loss1 = 0.38824, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.35494, loss1 = 0.35494, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.35518, loss1 = 0.35518, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.35153, loss1 = 0.35153, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.35041, loss1 = 0.35016, loss2 = 0.00025\n", + "[STATS][L2] iter = 300, loss = 0.34517, loss1 = 0.34517, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.33872, loss1 = 0.33872, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.33401, loss1 = 0.33401, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.33173, loss1 = 0.33173, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.32961, loss1 = 0.32961, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.32853, loss1 = 0.32853, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.32791, loss1 = 0.32791, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.32752, loss1 = 0.32752, loss2 = 0.00000\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 8\n", + "[STATS][L2] iter = 100, loss = 0.08700, loss1 = 0.00052, loss2 = 0.08648\n", + "[STATS][L2] iter = 200, loss = 0.08301, loss1 = 0.00100, loss2 = 0.08201\n", + "[STATS][L2] iter = 300, loss = 0.08052, loss1 = 0.00136, loss2 = 0.07916\n", + "[STATS][L2] iter = 400, loss = 0.07846, loss1 = 0.00173, loss2 = 0.07673\n", + "[STATS][L2] iter = 500, loss = 0.07657, loss1 = 0.00211, loss2 = 0.07446\n", + "[STATS][L2] iter = 600, loss = 0.07480, loss1 = 0.00252, loss2 = 0.07228\n", + "[STATS][L2] iter = 700, loss = 0.07314, loss1 = 0.00295, loss2 = 0.07019\n", + "[STATS][L2] iter = 800, loss = 0.07165, loss1 = 0.00337, loss2 = 0.06828\n", + "[STATS][L2] iter = 900, loss = 0.07026, loss1 = 0.00381, loss2 = 0.06645\n", + "[STATS][L2] iter = 1000, loss = 0.06895, loss1 = 0.00427, loss2 = 0.06468\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 0.32252, loss1 = 0.02649, loss2 = 0.29603\n", + "[STATS][L2] iter = 200, loss = 0.26932, loss1 = 0.03286, loss2 = 0.23646\n", + "[STATS][L2] iter = 300, loss = 0.24347, loss1 = 0.03508, loss2 = 0.20839\n", + "[STATS][L2] iter = 400, loss = 0.22171, loss1 = 0.03692, loss2 = 0.18480\n", + "[STATS][L2] iter = 500, loss = 0.20090, loss1 = 0.03859, loss2 = 0.16232\n", + "[STATS][L2] iter = 600, loss = 0.18091, loss1 = 0.04022, loss2 = 0.14069\n", + "[STATS][L2] iter = 700, loss = 0.16285, loss1 = 0.04171, loss2 = 0.12114\n", + "[STATS][L2] iter = 800, loss = 0.14617, loss1 = 0.04330, loss2 = 0.10287\n", + "[STATS][L2] iter = 900, loss = 0.13077, loss1 = 0.04488, loss2 = 0.08589\n", + "[STATS][L2] iter = 1000, loss = 0.11653, loss1 = 0.04635, loss2 = 0.07017\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 3, loss = 0.07374, loss1 = 0.07374, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.13241, loss1 = 0.13241, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.15255, loss1 = 0.15255, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.15998, loss1 = 0.15998, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.16433, loss1 = 0.16433, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.13838, loss1 = 0.13838, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.14348, loss1 = 0.14348, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.12143, loss1 = 0.12143, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.11707, loss1 = 0.11707, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.11197, loss1 = 0.11197, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.10789, loss1 = 0.10774, loss2 = 0.00016\n", + "[STATS][L2] iter = 500, loss = 0.10489, loss1 = 0.10489, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.10243, loss1 = 0.10243, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.10015, loss1 = 0.10015, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.09835, loss1 = 0.09835, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.09701, loss1 = 0.09701, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.09576, loss1 = 0.09576, loss2 = 0.00000\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.08498, loss1 = 0.08498, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.08030, loss1 = 0.08030, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.07617, loss1 = 0.07586, loss2 = 0.00031\n", + "[STATS][L2] iter = 400, loss = 0.07332, loss1 = 0.07332, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.07085, loss1 = 0.07085, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.06937, loss1 = 0.06937, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.06825, loss1 = 0.06825, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.06743, loss1 = 0.06734, loss2 = 0.00010\n", + "[STATS][L2] iter = 900, loss = 0.06656, loss1 = 0.06655, loss2 = 0.00002\n", + "[STATS][L2] iter = 1000, loss = 0.06587, loss1 = 0.06587, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.06361, loss1 = 0.06361, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.06237, loss1 = 0.06237, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.06012, loss1 = 0.06012, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.05822, loss1 = 0.05822, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.05672, loss1 = 0.05672, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.05562, loss1 = 0.05562, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.05473, loss1 = 0.05473, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.05431, loss1 = 0.05431, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.05395, loss1 = 0.05395, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.05350, loss1 = 0.05350, loss2 = 0.00000\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.05284, loss1 = 0.05284, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.05259, loss1 = 0.05259, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.05216, loss1 = 0.05216, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.05121, loss1 = 0.05121, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.05042, loss1 = 0.05042, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.04987, loss1 = 0.04987, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.04938, loss1 = 0.04938, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.04887, loss1 = 0.04886, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.04851, loss1 = 0.04851, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.04816, loss1 = 0.04816, loss2 = 0.00000\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 9\n", + "[STATS][L2] iter = 100, loss = 0.02038, loss1 = 0.00002, loss2 = 0.02036\n", + "[STATS][L2] iter = 200, loss = 0.02014, loss1 = 0.00003, loss2 = 0.02011\n", + "[STATS][L2] iter = 300, loss = 0.01995, loss1 = 0.00005, loss2 = 0.01990\n", + "[STATS][L2] iter = 400, loss = 0.01976, loss1 = 0.00006, loss2 = 0.01969\n", + "[STATS][L2] iter = 500, loss = 0.01957, loss1 = 0.00008, loss2 = 0.01949\n", + "[STATS][L2] iter = 600, loss = 0.01940, loss1 = 0.00010, loss2 = 0.01929\n", + "[STATS][L2] iter = 700, loss = 0.01923, loss1 = 0.00013, loss2 = 0.01910\n", + "[STATS][L2] iter = 800, loss = 0.01906, loss1 = 0.00015, loss2 = 0.01891\n", + "[STATS][L2] iter = 900, loss = 0.01890, loss1 = 0.00018, loss2 = 0.01873\n", + "[STATS][L2] iter = 1000, loss = 0.01876, loss1 = 0.00020, loss2 = 0.01856\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 0.16350, loss1 = 0.00120, loss2 = 0.16230\n", + "[STATS][L2] iter = 200, loss = 0.15881, loss1 = 0.00149, loss2 = 0.15733\n", + "[STATS][L2] iter = 300, loss = 0.15670, loss1 = 0.00158, loss2 = 0.15512\n", + "[STATS][L2] iter = 400, loss = 0.15476, loss1 = 0.00166, loss2 = 0.15310\n", + "[STATS][L2] iter = 500, loss = 0.15295, loss1 = 0.00173, loss2 = 0.15122\n", + "[STATS][L2] iter = 600, loss = 0.15118, loss1 = 0.00181, loss2 = 0.14937\n", + "[STATS][L2] iter = 700, loss = 0.14937, loss1 = 0.00190, loss2 = 0.14748\n", + "[STATS][L2] iter = 800, loss = 0.14768, loss1 = 0.00198, loss2 = 0.14570\n", + "[STATS][L2] iter = 900, loss = 0.14597, loss1 = 0.00207, loss2 = 0.14390\n", + "[STATS][L2] iter = 1000, loss = 0.14441, loss1 = 0.00215, loss2 = 0.14226\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 60, loss = 0.03576, loss1 = 0.03576, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.03280, loss1 = 0.03280, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.03227, loss1 = 0.03227, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.03263, loss1 = 0.03263, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.02800, loss1 = 0.02800, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.02744, loss1 = 0.02744, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.02643, loss1 = 0.02643, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.02515, loss1 = 0.02515, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.02382, loss1 = 0.02382, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.02237, loss1 = 0.02237, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.02158, loss1 = 0.02158, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.02123, loss1 = 0.02123, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.02137, loss1 = 0.02114, loss2 = 0.00023\n", + "Early stopping because there is no improvement\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.01892, loss1 = 0.01892, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01813, loss1 = 0.01813, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01761, loss1 = 0.01761, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01682, loss1 = 0.01682, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01647, loss1 = 0.01647, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01642, loss1 = 0.01632, loss2 = 0.00010\n", + "[STATS][L2] iter = 700, loss = 0.01604, loss1 = 0.01604, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01575, loss1 = 0.01575, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01529, loss1 = 0.01529, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01508, loss1 = 0.01508, loss2 = 0.00000\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.01496, loss1 = 0.01496, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01498, loss1 = 0.01498, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.01392, loss1 = 0.01392, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01329, loss1 = 0.01329, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01321, loss1 = 0.01321, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01308, loss1 = 0.01305, loss2 = 0.00003\n", + "[STATS][L2] iter = 500, loss = 0.01296, loss1 = 0.01296, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01286, loss1 = 0.01286, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.01280, loss1 = 0.01280, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01274, loss1 = 0.01274, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01268, loss1 = 0.01268, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01266, loss1 = 0.01266, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.01251, loss1 = 0.01251, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01243, loss1 = 0.01243, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01217, loss1 = 0.01217, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.01207, loss1 = 0.01207, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.01198, loss1 = 0.01198, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.01194, loss1 = 0.01193, loss2 = 0.00001\n", + "[STATS][L2] iter = 700, loss = 0.01187, loss1 = 0.01187, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.01183, loss1 = 0.01183, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.01180, loss1 = 0.01180, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.01178, loss1 = 0.01178, loss2 = 0.00000\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.01147, loss1 = 0.01147, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.01138, loss1 = 0.01138, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.01139, loss1 = 0.01138, loss2 = 0.00002\n", + "Early stopping because there is no improvement\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "tick 10\n", + "[STATS][L2] iter = 100, loss = 0.09563, loss1 = 0.00051, loss2 = 0.09512\n", + "[STATS][L2] iter = 200, loss = 0.09262, loss1 = 0.00093, loss2 = 0.09170\n", + "[STATS][L2] iter = 300, loss = 0.09041, loss1 = 0.00133, loss2 = 0.08908\n", + "[STATS][L2] iter = 400, loss = 0.08852, loss1 = 0.00175, loss2 = 0.08677\n", + "[STATS][L2] iter = 500, loss = 0.08686, loss1 = 0.00218, loss2 = 0.08468\n", + "[STATS][L2] iter = 600, loss = 0.08531, loss1 = 0.00262, loss2 = 0.08269\n", + "[STATS][L2] iter = 700, loss = 0.08397, loss1 = 0.00306, loss2 = 0.08091\n", + "[STATS][L2] iter = 800, loss = 0.08265, loss1 = 0.00355, loss2 = 0.07910\n", + "[STATS][L2] iter = 900, loss = 0.08147, loss1 = 0.00401, loss2 = 0.07746\n", + "[STATS][L2] iter = 1000, loss = 0.08044, loss1 = 0.00447, loss2 = 0.07597\n", + "old constant: 0.01\n", + "new constant: 0.1\n", + "[STATS][L2] iter = 100, loss = 0.47642, loss1 = 0.02789, loss2 = 0.44853\n", + "[STATS][L2] iter = 200, loss = 0.42787, loss1 = 0.03520, loss2 = 0.39267\n", + "[STATS][L2] iter = 300, loss = 0.40368, loss1 = 0.03829, loss2 = 0.36539\n", + "[STATS][L2] iter = 400, loss = 0.38522, loss1 = 0.04006, loss2 = 0.34515\n", + "[STATS][L2] iter = 500, loss = 0.36694, loss1 = 0.04182, loss2 = 0.32511\n", + "[STATS][L2] iter = 600, loss = 0.34881, loss1 = 0.04363, loss2 = 0.30518\n", + "[STATS][L2] iter = 700, loss = 0.33096, loss1 = 0.04553, loss2 = 0.28543\n", + "[STATS][L2] iter = 800, loss = 0.31339, loss1 = 0.04739, loss2 = 0.26600\n", + "[STATS][L2] iter = 900, loss = 0.29607, loss1 = 0.04923, loss2 = 0.24684\n", + "[STATS][L2] iter = 1000, loss = 0.27824, loss1 = 0.05115, loss2 = 0.22708\n", + "old constant: 0.1\n", + "new constant: 1.0\n", + "[STATS][L3](First valid attack found!) iter = 6, loss = 0.14583, loss1 = 0.14583, loss2 = 0.00000\n", + "[STATS][L2] iter = 100, loss = 0.21499, loss1 = 0.21499, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.23269, loss1 = 0.23269, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 1.0\n", + "new constant: 0.55\n", + "[STATS][L2] iter = 100, loss = 0.20797, loss1 = 0.20797, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.20847, loss1 = 0.20847, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.55\n", + "new constant: 0.325\n", + "[STATS][L2] iter = 100, loss = 0.17501, loss1 = 0.17501, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.16425, loss1 = 0.16425, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.15420, loss1 = 0.15420, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.14435, loss1 = 0.14435, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.13814, loss1 = 0.13814, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.13380, loss1 = 0.13365, loss2 = 0.00015\n", + "[STATS][L2] iter = 700, loss = 0.12947, loss1 = 0.12947, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.12617, loss1 = 0.12617, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.12423, loss1 = 0.12423, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.12227, loss1 = 0.12227, loss2 = 0.00000\n", + "old constant: 0.325\n", + "new constant: 0.21250000000000002\n", + "[STATS][L2] iter = 100, loss = 0.12417, loss1 = 0.12417, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.12465, loss1 = 0.12465, loss2 = 0.00000\n", + "Early stopping because there is no improvement\n", + "old constant: 0.21250000000000002\n", + "new constant: 0.15625\n", + "[STATS][L2] iter = 100, loss = 0.11489, loss1 = 0.11489, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.11131, loss1 = 0.11131, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.10797, loss1 = 0.10797, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.10607, loss1 = 0.10607, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.10435, loss1 = 0.10435, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.10337, loss1 = 0.10337, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.10273, loss1 = 0.10273, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.10207, loss1 = 0.10207, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.10156, loss1 = 0.10156, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.10118, loss1 = 0.10118, loss2 = 0.00000\n", + "old constant: 0.15625\n", + "new constant: 0.128125\n", + "[STATS][L2] iter = 100, loss = 0.10128, loss1 = 0.10128, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.09987, loss1 = 0.09987, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.09745, loss1 = 0.09745, loss2 = 0.00000\n", + "[STATS][L2] iter = 400, loss = 0.09589, loss1 = 0.09589, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.09490, loss1 = 0.09490, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.09410, loss1 = 0.09410, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.09331, loss1 = 0.09331, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.09289, loss1 = 0.09289, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.09261, loss1 = 0.09261, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.09242, loss1 = 0.09242, loss2 = 0.00000\n", + "old constant: 0.128125\n", + "new constant: 0.1140625\n", + "[STATS][L2] iter = 100, loss = 0.09498, loss1 = 0.09498, loss2 = 0.00000\n", + "[STATS][L2] iter = 200, loss = 0.09233, loss1 = 0.09233, loss2 = 0.00000\n", + "[STATS][L2] iter = 300, loss = 0.08990, loss1 = 0.08980, loss2 = 0.00010\n", + "[STATS][L2] iter = 400, loss = 0.08784, loss1 = 0.08784, loss2 = 0.00000\n", + "[STATS][L2] iter = 500, loss = 0.08677, loss1 = 0.08677, loss2 = 0.00000\n", + "[STATS][L2] iter = 600, loss = 0.08598, loss1 = 0.08598, loss2 = 0.00000\n", + "[STATS][L2] iter = 700, loss = 0.08547, loss1 = 0.08547, loss2 = 0.00000\n", + "[STATS][L2] iter = 800, loss = 0.08514, loss1 = 0.08514, loss2 = 0.00000\n", + "[STATS][L2] iter = 900, loss = 0.08490, loss1 = 0.08490, loss2 = 0.00000\n", + "[STATS][L2] iter = 1000, loss = 0.08470, loss1 = 0.08469, loss2 = 0.00001\n", + "old constant: 0.1140625\n", + "new constant: 0.10703125\n", + "Took 14.03031344016393 mins to run 10 samples.\n" + ] + } + ], + "source": [ + "inputs, targets = generate_data(test_loader, targeted, samples=samples, start=start)\n", + "\n", + "timestart = time.time()\n", + "adv = run_attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size=step_size)\n", + "timeend = time.time()\n", + "\n", + "print(\"Took\", (timeend - timestart) / 60.0, \"mins to run\", len(inputs), \"samples.\")" + ] + }, + { + "cell_type": "markdown", + "id": "86dea4a7", + "metadata": { + "id": "86dea4a7" + }, + "source": [ + "## 8. Results" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "6847dfcf", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "6847dfcf", + "outputId": "8c3e367f-e459-4556-d295-c40f6ffe0caa" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Valid Classification: [8 6 6 9 3 0 9 2 3 9]\n", + "Adversarial Classification: [8 5 3 8 2 2 7 6 5 1]\n", + "Success Rate: 90.0 %\n", + "Total distortion: 1.0473103523254395\n", + "Results saved to cifar10/untargeted/adahessian/results.json\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_715/2546004713.py:42: DeprecationWarning: 'mode' parameter is deprecated and will be removed in Pillow 13 (2026-10-15)\n", + " orig_img = Image.fromarray(orig_uint8, mode=\"RGB\")\n", + "/tmp/ipykernel_715/2546004713.py:43: DeprecationWarning: 'mode' parameter is deprecated and will be removed in Pillow 13 (2026-10-15)\n", + " adv_img = Image.fromarray(adv_uint8, mode=\"RGB\")\n" + ] + } + ], + "source": [ + "if use_log:\n", + " valid_class = np.argmax(F.softmax(model(torch.from_numpy(inputs).to(device)), -1).detach().cpu().numpy(), -1)\n", + " adv_class = np.argmax(F.softmax(model(torch.from_numpy(adv).to(device)), -1).detach().cpu().numpy(), -1)\n", + "else:\n", + " valid_class = np.argmax(model(torch.from_numpy(inputs).to(device)).detach().cpu().numpy(), -1)\n", + " adv_class = np.argmax(model(torch.from_numpy(adv).to(device)).detach().cpu().numpy(), -1)\n", + "\n", + "acc = ((valid_class == adv_class).sum()) / len(inputs)\n", + "success_rate = (1.0 - acc) * 100.0\n", + "# total change depends on input size (L2)\n", + "total_distortion = float(np.sum((adv - inputs) ** 2) ** 0.5)\n", + "elapsed_mins = (timeend - timestart) / 60.0\n", + "\n", + "print(\"Valid Classification: \", valid_class)\n", + "print(\"Adversarial Classification:\", adv_class)\n", + "print(\"Success Rate: \", success_rate, \"%\")\n", + "print(\"Total distortion: \", total_distortion)\n", + "\n", + "# ── Output directory: /// ──────────────\n", + "targeted_str = \"targeted\" if targeted else \"untargeted\"\n", + "out_dir = os.path.join(dataset_name, targeted_str, solver)\n", + "os.makedirs(out_dir, exist_ok=True)\n", + "\n", + "# ── Save images and compute perceptual metrics ────────────────────────────────\n", + "# Inputs are normalised with Normalize((0.5,),(1.0,)) → pixel = value + 0.5\n", + "mse_list = []\n", + "mae_list = []\n", + "psnr_list = []\n", + "ssim_list = []\n", + "\n", + "for i in range(len(inputs)):\n", + " orig_np = np.clip(inputs[i].transpose(1, 2, 0) + 0.5, 0.0, 1.0) # (H,W,C) in [0,1]\n", + " adv_np = np.clip(adv[i].transpose(1, 2, 0) + 0.5, 0.0, 1.0)\n", + "\n", + " orig_uint8 = (orig_np * 255).astype(np.uint8)\n", + " adv_uint8 = (adv_np * 255).astype(np.uint8)\n", + "\n", + " if orig_uint8.shape[2] == 1: # grayscale (MNIST)\n", + " orig_img = Image.fromarray(orig_uint8[:, :, 0], mode=\"L\")\n", + " adv_img = Image.fromarray(adv_uint8[:, :, 0], mode=\"L\")\n", + " else: # RGB (CIFAR-10)\n", + " orig_img = Image.fromarray(orig_uint8, mode=\"RGB\")\n", + " adv_img = Image.fromarray(adv_uint8, mode=\"RGB\")\n", + "\n", + " orig_img.save(os.path.join(out_dir, f\"original_{i}.png\"))\n", + " adv_img.save(os.path.join(out_dir, f\"adversarial_{i}.png\"))\n", + "\n", + " mse = float(np.sum((orig_np - adv_np)**2))\n", + " mae = float(np.sum(np.abs(orig_np - adv_np)))\n", + " psnr = float(calc_psnr(orig_np, adv_np, data_range=1.0))\n", + " if orig_np.shape[2] == 1:\n", + " ssim = float(calc_ssim(orig_np[:, :, 0], adv_np[:, :, 0], data_range=1.0))\n", + " else:\n", + " ssim = float(calc_ssim(orig_np, adv_np, data_range=1.0, channel_axis=2))\n", + "\n", + " mse_list.append(mse)\n", + " mae_list.append(mae)\n", + " psnr_list.append(psnr)\n", + " ssim_list.append(ssim)\n", + "\n", + "# ── Write results.json ────────────────────────────────────────────────────────\n", + "results = {\n", + " \"dataset\": dataset_name,\n", + " \"targeted\": targeted,\n", + " \"solver\": solver,\n", + " \"num_samples\": len(inputs),\n", + " \"success_rate_pct\": success_rate,\n", + " \"total_distortion\": total_distortion,\n", + " \"time_mins\": elapsed_mins,\n", + " \"valid_classification\": valid_class.tolist(),\n", + " \"adversarial_classification\": adv_class.tolist(),\n", + " \"mse\": {\n", + " \"mean:\" : float(np.mean(mse_list)),\n", + " \"per_sample\": mse_list\n", + " },\n", + " \"mae\": {\n", + " \"mean\": float(np.mean(mae_list)),\n", + " \"per_sample\": mae_list\n", + " },\n", + " \"psnr\": {\n", + " \"mean\": float(np.mean(psnr_list)),\n", + " \"per_sample\": psnr_list\n", + " },\n", + " \"ssim\": {\n", + " \"mean\": float(np.mean(ssim_list)),\n", + " \"per_sample\": ssim_list\n", + " }\n", + "}\n", + "\n", + "results_path = os.path.join(out_dir, \"results.json\")\n", + "with open(results_path, \"w\") as f:\n", + " json.dump(results, f, indent=2)\n", + "print(f\"Results saved to {results_path}\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "6c4faa94", + "metadata": { + "id": "6c4faa94" + }, + "source": [ + "## 9. Visualisation" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "07fe3aa4", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 161 + }, + "id": "07fe3aa4", + "outputId": "c67b7a6f-06ce-4707-caa8-9da024b68877" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Saved: adahessian_untargeted_cifar10.png\n" + ] + }, + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# --- CIFAR-10 visualisation ---\n", + "classes = ('plane', 'car', 'bird', 'cat', 'deer', 'dog', 'frog', 'horse', 'ship', 'truck')\n", + "cnt = 0\n", + "plt.figure(figsize=(12, 12))\n", + "for i in range(len(adv)):\n", + " cnt += 1\n", + " plt.subplot(10, 10, cnt)\n", + " plt.xticks([], [])\n", + " plt.yticks([], [])\n", + " plt.title(\"{}->{}\".format(classes[valid_class[i]], classes[adv_class[i]]), fontsize=6)\n", + " plt.imshow(((adv[i] + 0.5)).transpose(1, 2, 0))\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# --- Save figure ---\n", + "fname = \"{}_{}_cifar10.png\".format(solver, \"targeted\" if targeted else \"untargeted\")\n", + "plt.savefig(fname)\n", + "print(\"Saved:\", fname)\n", + "\n", + "# --- MNIST visualisation (uncomment if using MNIST) ---\n", + "# plt.figure(figsize=(10,10))\n", + "# for i in range(len(adv)):\n", + "# plt.subplot(10, 10, i+1)\n", + "# plt.xticks([], []); plt.yticks([], [])\n", + "# plt.title(\"{} -> {}\".format(valid_class[i], adv_class[i]))\n", + "# plt.imshow(adv[i].reshape(28, 28), cmap=\"gray\")\n", + "# plt.tight_layout()\n", + "# plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "mJobqVQJp19u", + "metadata": { + "id": "mJobqVQJp19u" + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.25" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/zoo_l2_attack_black.py b/zoo_l2_attack_black.py index 746f409..5560424 100644 --- a/zoo_l2_attack_black.py +++ b/zoo_l2_attack_black.py @@ -2,59 +2,123 @@ import matplotlib.pyplot as plt import torch import torch.nn.functional as F -from torchvision import transforms,datasets -from numba import jit +from torchvision import transforms, datasets import math import time -import scipy.misc import os import sys +import json +import argparse from PIL import Image +from skimage.metrics import peak_signal_noise_ratio as calc_psnr +from skimage.metrics import structural_similarity as calc_ssim from setup_mnist_model import MNIST from setup_cifar10_model import CIFAR10 +from setup_imagenet_model import VGG16Wrapper, imagenet_transform, get_imagenet_labels """##L2 Black Box Attack""" - -@jit(nopython=True) -def coordinate_ADAM(losses, indice, grad, hess, batch_size, mt_arr, vt_arr, real_modifier, adam_epoch, up, down, step_size,beta1, beta2, proj): - for i in range(batch_size): - grad[i] = (losses[i*2+1] - losses[i*2+2]) / 0.0002 - # ADAM update - mt = mt_arr[indice] - mt = beta1 * mt + (1 - beta1) * grad - mt_arr[indice] = mt - vt = vt_arr[indice] - vt = beta2 * vt + (1 - beta2) * (grad * grad) - vt_arr[indice] = vt +# All solvers operate entirely on GPU tensors — no CPU round-trips. +# Signature: (losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj) +# losses : 1-D GPU float tensor, shape (2*batch_size+1,) — [cur, +d0, -d0, +d1, -d1, ...] +# indice : 1-D GPU long tensor, shape (batch_size,) — pixel indices being updated +# mt, vt : 1-D GPU float tensors, shape (var_len,) — momentum buffers +# adam_epoch : 1-D GPU float tensor, shape (var_len,) — per-coord step counter +# real_modifier: GPU float tensor, shape (1, C, H, W) — perturbation (modified in-place) +# up, down : 1-D GPU float tensors, shape (var_len,) — projection bounds + +def coordinate_ADAM(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() # cast to float32 to match state tensors + mt[indice] = beta1 * mt[indice] + (1 - beta1) * g + vt[indice] = beta2 * vt[indice] + (1 - beta2) * g * g epoch = adam_epoch[indice] - corr = (np.sqrt(1 - np.power(beta2,epoch))) / (1 - np.power(beta1, epoch)) - m = real_modifier.reshape(-1) - old_val = m[indice] - old_val -= step_size * corr * mt / (np.sqrt(vt) + 1e-8) - # set it back to [-0.5, +0.5] region + corr = torch.sqrt(1 - beta2 ** epoch) / (1 - beta1 ** epoch) + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * corr * mt[indice] / (torch.sqrt(vt[indice]) + 1e-8) if proj: - old_val = np.maximum(np.minimum(old_val, up[indice]), down[indice]) - m[indice] = old_val - adam_epoch[indice] = epoch + 1 + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + adam_epoch[indice] += 1 -@jit(nopython=True) -def coordinate_Newton(losses, indice, grad, hess, batch_size, mt_arr, vt_arr, real_modifier, adam_epoch, up, down, step_size, beta1, beta2, proj): +def coordinate_Newton(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): cur_loss = losses[0] - for i in range(batch_size): - grad[i] = (losses[i*2+1] - losses[i*2+2]) / 0.0002 - hess[i] = (losses[i*2+1] - 2 * cur_loss + losses[i*2+2]) / (0.0001 * 0.0001) - hess[hess < 0] = 1.0 - hess[hess < 0.1] = 0.1 - m = real_modifier.reshape(-1) - old_val = m[indice] - old_val -= step_size * grad / hess - # set it back to [-0.5, +0.5] region + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + hess = ((losses[1::2] - 2 * cur_loss + losses[2::2]) / (0.0001 ** 2)).float() + hess = torch.where(hess < 0, torch.ones_like(hess), hess) # negative hess → 1.0 + hess = torch.clamp(hess, min=0.1) # hess < 0.1 → 0.1 + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * g / hess + if proj: + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + +def coordinate_SGD(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + """Vanilla gradient descent — no momentum.""" + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * g + if proj: + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + +def coordinate_SGDSign(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + """SGDSign — step is step_size * sign(g), no momentum.""" + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * torch.sign(g) + if proj: + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + +def coordinate_Signum(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + """Signum — step is step_size * sign(m), where m is an EMA of gradients.""" + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + mt[indice] = beta1 * mt[indice] + (1 - beta1) * g + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * torch.sign(mt[indice]) if proj: - old_val = np.maximum(np.minimum(old_val, up[indice]), down[indice]) - m[indice] = old_val + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + +def coordinate_Lion(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + """Lion optimizer (EvoLved Sign Momentum) — arxiv.org/abs/2302.06675 + u = sign(beta1*m + (1-beta1)*g) -> theta -= lr*u -> m = beta2*m + (1-beta2)*g + """ + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + update = torch.sign(beta1 * mt[indice] + (1 - beta1) * g) # direction from interpolated momentum + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * update + if proj: + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + mt[indice] = beta2 * mt[indice] + (1 - beta2) * g # momentum updated AFTER the step + +def coordinate_AdaHessian(losses, indice, mt, vt, adam_epoch, real_modifier, up, down, step_size, beta1, beta2, proj): + """AdaHessian (Yao et al., 2021) — arxiv.org/abs/2006.00719 + Second moment tracks EMA of h², where h is the FD Hessian diagonal. + Negative-curvature coordinates fall back to h=1 (same as Newton) to avoid + freezing in saddle regions. vt is initialised effectively at hess_floor² to + avoid the cold-start blow-up that occurs when vt≈0 at the first iterations. + + mt : EMA of gradient (first moment) + vt : EMA of h² (second moment — Hessian-based, not gradient-based) + Update: theta -= lr * m_hat / (sqrt(v_hat) + eps) + """ + HESS_FLOOR = 0.1 # match Newton's floor so saddle regions behave consistently + cur_loss = losses[0] + g = ((losses[1::2] - losses[2::2]) / 0.0002).float() + hess = ((losses[1::2] - 2 * cur_loss + losses[2::2]) / (0.0001 ** 2)).float() + # Negative curvature → fall back to 1.0, same policy as Newton + hess = torch.where(hess < 0, torch.ones_like(hess), hess) + hess = torch.clamp(hess, min=HESS_FLOOR) + + mt[indice] = beta1 * mt[indice] + (1 - beta1) * g + vt[indice] = beta2 * vt[indice] + (1 - beta2) * hess * hess # EMA of h² + + epoch = adam_epoch[indice] + corr = torch.sqrt(1 - beta2 ** epoch) / (1 - beta1 ** epoch) -def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,const): + m = real_modifier.view(-1) + m[indice] = m[indice] - step_size * corr * mt[indice] / (torch.sqrt(vt[indice]) + 1e-8) + if proj: + m[indice] = torch.clamp(m[indice], down[indice], up[indice]) + adam_epoch[indice] += 1 + +def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,const,device='cpu'): if use_tanh: pert_out = torch.tanh(input +modifier)/2 else: @@ -64,10 +128,23 @@ def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,co if use_log: output = F.softmax(output,-1) + # l2 distance if use_tanh: loss1 = torch.sum(torch.square(pert_out-torch.tanh(input)/2),dim=(1,2,3)) else: loss1 = torch.sum(torch.square(pert_out-input),dim=(1,2,3)) + + # l1 distance + # if use_tanh: + # loss1 = torch.sum(torch.abs(pert_out-torch.tanh(input)/2),dim=(1,2,3)) + # else: + # loss1 = torch.sum(torch.abs(pert_out-input),dim=(1,2,3)) + + # l inf distance + # if use_tanh: + # loss1 = torch.max(torch.abs(pert_out-torch.tanh(input)/2).view(pert_out.size(0),-1),dim=-1)[0] + # else: + # loss1 = torch.max(torch.abs(pert_out-input).view(pert_out.size(0),-1),dim=-1)[0] real = torch.sum(target*output,-1) other = torch.max((1-target)*output-(target*10000),-1)[0] @@ -76,7 +153,7 @@ def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,co real=torch.log(real+1e-30) other=torch.log(other+1e-30) - confidence = torch.tensor(confidence).type(torch.float64).cuda() + confidence = torch.tensor(confidence).type(torch.float64).to(device) if targeted: loss2 = torch.max(other-real,confidence) @@ -87,26 +164,26 @@ def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,co l2 = loss1 loss = loss1 + loss2 - return loss.detach().cpu().numpy(), l2.detach().cpu().numpy(), loss2.detach().cpu().numpy(), output.detach().cpu().numpy(), pert_out.detach().cpu().numpy() + # losses/l2/loss2 stay on GPU (consumed by solvers); scores+pert_images go to CPU for output + return loss.detach(), l2.detach(), loss2.detach(), output.detach().cpu().numpy(), pert_out.detach().cpu().numpy() -def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, reset_adam_after_found=True,abort_early=True, +def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, device='cpu', reset_adam_after_found=True,abort_early=True, batch_size=128,max_iter=1000,const=0.01,confidence=0.0,early_stop_iters=100, binary_search_steps=9, step_size=0.01,adam_beta1=0.9,adam_beta2=0.999): early_stop_iters = early_stop_iters if early_stop_iters != 0 else max_iter // 10 - input = torch.from_numpy(input).cuda() - target = torch.from_numpy(target).cuda() + input = torch.from_numpy(input).to(device) + target = torch.from_numpy(target).to(device) var_len = input.view(-1).size()[0] - modifier_up = np.zeros(var_len, dtype=np.float32) - modifier_down = np.zeros(var_len, dtype=np.float32) - real_modifier = torch.zeros(input.size(),dtype=torch.float32).cuda() - mt = np.zeros(var_len, dtype=np.float32) - vt = np.zeros(var_len, dtype=np.float32) - adam_epoch = np.ones(var_len, dtype=np.int32) - grad=np.zeros(batch_size,dtype=np.float32) - hess=np.zeros(batch_size,dtype=np.float32) + # All state tensors live on device — no CPU↔GPU copies during the attack loop + modifier_up = torch.zeros(var_len, dtype=torch.float32, device=device) + modifier_down = torch.zeros(var_len, dtype=torch.float32, device=device) + real_modifier = torch.zeros(input.size(), dtype=torch.float32, device=device) + mt = torch.zeros(var_len, dtype=torch.float32, device=device) + vt = torch.zeros(var_len, dtype=torch.float32, device=device) + adam_epoch = torch.ones(var_len, dtype=torch.float32, device=device) upper_bound=1e10 lower_bound=0.0 @@ -120,8 +197,9 @@ def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, reset_a input = torch.atanh(input*1.99999) if not use_tanh: - modifier_up = 0.5-input.clone().detach().view(-1).cpu().numpy() - modifier_down = -0.5-input.clone().detach().view(-1).cpu().numpy() + flat = input.clone().detach().view(-1) + modifier_up = 0.5 - flat + modifier_down = -0.5 - flat def compare(x,y): if not isinstance(x, (float, int, np.int64)): @@ -140,62 +218,78 @@ def compare(x,y): prev=1e6 bestscore=-1 last_loss2=1.0 - # reset ADAM status - mt.fill(0) - vt.fill(0) - adam_epoch.fill(1) + # reset solver state + mt.zero_() + vt.zero_() + adam_epoch.fill_(1) stage=0 for iter in range(max_iter): if (iter+1)%100 == 0: - loss, l2, loss2, _ , __ = loss_run(input,target,model,real_modifier,use_tanh,use_log,targeted,confidence,const) - print("[STATS][L2] iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}".format(iter+1, loss[0], l2[0], loss2[0])) + loss, l2, loss2, _ , __ = loss_run(input,target,model,real_modifier,use_tanh,use_log,targeted,confidence,const,device) + print("[STATS][L2] iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}".format(iter+1, loss[0].item(), l2[0].item(), loss2[0].item())) sys.stdout.flush() - var_list = np.array(range(0, var_len), dtype = np.int32) - indice = var_list[np.random.choice(var_list.size, batch_size, replace=False)] - var = np.repeat(real_modifier.detach().cpu().numpy(), batch_size * 2 + 1, axis=0) - for i in range(batch_size): - var[i*2+1].reshape(-1)[indice[i]]+=0.0001 - var[i*2+2].reshape(-1)[indice[i]]-=0.0001 - var = torch.from_numpy(var) - var = var.view((-1,)+input.size()[1:]).cuda() - losses, l2s, losses2, scores, pert_images = loss_run(input,target,model,var,use_tanh,use_log,targeted,confidence,const) - real_modifier_numpy = real_modifier.clone().detach().cpu().numpy() + # Sample random coordinates entirely on GPU — no numpy, no CPU transfer + indice = torch.randperm(var_len, device=device)[:batch_size] + # Build (2*batch_size+1) perturbed copies of real_modifier on GPU + var = real_modifier.expand(batch_size * 2 + 1, *input.shape[1:]).clone() + flat_var = var.view(batch_size * 2 + 1, -1) + pos_idx = torch.arange(batch_size, device=device) * 2 + 1 + neg_idx = torch.arange(batch_size, device=device) * 2 + 2 + flat_var[pos_idx, indice] += 0.0001 + flat_var[neg_idx, indice] -= 0.0001 + + losses, l2s, losses2, scores, pert_images = loss_run(input,target,model,var,use_tanh,use_log,targeted,confidence,const,device) + + # Solver updates real_modifier in-place — everything stays on GPU if solver=="adam": - coordinate_ADAM(losses,indice,grad,hess,batch_size,mt,vt,real_modifier_numpy,adam_epoch,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + coordinate_ADAM(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) if solver=="newton": - coordinate_Newton(losses,indice,grad,hess,batch_size,mt,vt,real_modifier_numpy,adam_epoch,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) - real_modifier=torch.from_numpy(real_modifier_numpy).cuda() - - if losses2[0]==0.0 and last_loss2!=0.0 and stage==0: + coordinate_Newton(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + if solver=="sgd": + coordinate_SGD(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + if solver=="sgdsign": + coordinate_SGDSign(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + if solver=="signum": + coordinate_Signum(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + if solver=="lion": + coordinate_Lion(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + if solver=="adahessian": + coordinate_AdaHessian(losses,indice,mt,vt,adam_epoch,real_modifier,modifier_up,modifier_down,step_size,adam_beta1,adam_beta2,proj=not use_tanh) + + loss2_val = losses2[0].item() + if loss2_val==0.0 and last_loss2!=0.0 and stage==0: if reset_adam_after_found: - mt.fill(0) - vt.fill(0) - adam_epoch.fill(1) - stage=1 - last_loss2=losses2[0] + mt.zero_() + vt.zero_() + adam_epoch.fill_(1) + stage=1 + last_loss2=loss2_val + loss_val = losses[0].item() if abort_early and (iter+1) % early_stop_iters == 0: - if losses[0] > prev*.9999: + if loss_val > prev*.9999: print("Early stopping because there is no improvement") break - prev = losses[0] - - if l2s[0] < bestl2 and compare(scores[0], np.argmax(target.cpu().numpy(),-1)): - bestl2 = l2s[0] + prev = loss_val + + l2_val = l2s[0].item() + target_label = np.argmax(target.detach().cpu().numpy(),-1) + if l2_val < bestl2 and compare(scores[0], target_label): + bestl2 = l2_val bestscore = np.argmax(scores[0]) - if l2s[0] < out_bestl2 and compare(scores[0],np.argmax(target.cpu().numpy(),-1)): + if l2_val < out_bestl2 and compare(scores[0], target_label): if out_bestl2 == 1e10: - print("[STATS][L3](First valid attack found!) iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}".format(iter+1, losses[0], l2s[0], losses2[0])) + print("[STATS][L3](First valid attack found!) iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}".format(iter+1, loss_val, l2_val, loss2_val)) sys.stdout.flush() - out_bestl2 = l2s[0] + out_bestl2 = l2_val out_bestscore = np.argmax(scores[0]) out_best_attack = pert_images[0] out_best_const = const - if compare(bestscore, np.argmax(target.cpu().numpy(),-1)) and bestscore != -1: + if compare(bestscore, np.argmax(target.detach().cpu().numpy(),-1)) and bestscore != -1: print('old constant: ', const) upper_bound = min(upper_bound,const) if upper_bound < 1e9: @@ -212,10 +306,9 @@ def compare(x,y): return out_best_attack, out_bestscore -def generate_data(test_loader,targeted,samples,start): +def generate_data(test_loader, targeted, samples, start, num_label=10): inputs=[] targets=[] - num_label=10 cnt=0 for i, data in enumerate(test_loader): if cnt 9 total samples whereas for untargeted the original data #sample is taken i.e. 1 sample only - inputs, targets = generate_data(test_loader,targeted,samples=10,start=6) + + # check the accuracy of the model on the orginal samples + data, label = generate_data(test_loader,targeted=False,samples=len(test_loader),start=args.start,num_label=num_label) + pred = model(torch.from_numpy(data).to(device)) + pred = torch.argmax(pred,dim=-1).cpu().numpy() + label = np.argmax(label,axis=-1) + acc = (pred==label).sum()/len(pred) + print("Model accuracy on original samples: ", acc*100.0, "%") + # per class classification accuracy + print("labels: ", label) + for i in range(10): + idx = label==i + acc = (pred[idx]==label[idx]).sum()/idx.sum() + print("Class {} accuracy: {:.2f}%".format(i, acc*100.0)) + + # exclude the missclassifed samples from the attack evaluation + data = data[pred==label] + label = label[pred==label] + print("Number of correctly classified samples: ", len(data)) + test_loader = torch.utils.data.DataLoader(torch.utils.data.TensorDataset(torch.from_numpy(data), torch.from_numpy(label)), batch_size=1, shuffle=False) + + inputs, targets = generate_data(test_loader,targeted,samples=args.samples,start=args.start,num_label=num_label) timestart = time.time() - adv = attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device) + adv = attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size=step_size) timeend = time.time() print("Took",(timeend-timestart)/60.0,"mins to run",len(inputs),"samples.") if use_log: - valid_class = np.argmax(F.softmax(model(torch.from_numpy(inputs).cuda()),-1).detach().cpu().numpy(),-1) - adv_class = np.argmax(F.softmax(model(torch.from_numpy(adv).cuda()),-1).detach().cpu().numpy(),-1) - + valid_class = np.argmax(F.softmax(model(torch.from_numpy(inputs).to(device)), -1).detach().cpu().numpy(), -1) + adv_class = np.argmax(F.softmax(model(torch.from_numpy(adv).to(device)), -1).detach().cpu().numpy(), -1) else: - valid_class = np.argmax(model(torch.from_numpy(inputs).cuda()).detach().cpu().numpy(),-1) - adv_class = np.argmax(model(torch.from_numpy(adv).cuda()).detach().cpu().numpy(),-1) - - acc = ((valid_class==adv_class).sum())/len(inputs) - print("Valid Classification: ", valid_class) - print("Adversarial Classification: ", adv_class) - print("Success Rate: ", (1.0-acc)*100.0) - print("Total distortion: ", np.sum((adv-inputs)**2)**.5) - - # for saving the mnist samples - # for i in range(len(inputs)): - # save(inputs[i], "original_"+str(i)+".png") - # save(adv[i], "adversarial_"+str(i)+".png") - # save(adv[i] - inputs[i], "diff_"+str(i)+".png") - - #visualization of created mnist adv examples - # cnt=0 - # plt.figure(figsize=(10,10)) - # for i in range(len(adv)): - # cnt+=1 - # plt.subplot(10,10,cnt) - # plt.xticks([], []) - # plt.yticks([], []) - # plt.title("{} -> {}".format(valid_class[i],adv_class[i])) - # plt.imshow(adv[i].reshape(28,28), cmap="gray") + valid_class = np.argmax(model(torch.from_numpy(inputs).to(device)).detach().cpu().numpy(), -1) + adv_class = np.argmax(model(torch.from_numpy(adv).to(device)).detach().cpu().numpy(), -1) + + acc = ((valid_class == adv_class).sum()) / len(inputs) + success_rate = (1.0 - acc) * 100.0 + # total change depends on input size (L2) + total_distortion = float(np.sum((adv - inputs) ** 2) ** 0.5) + elapsed_mins = (timeend - timestart) / 60.0 + + print("Valid Classification: ", valid_class) + print("Adversarial Classification:", adv_class) + print("Success Rate: ", success_rate, "%") + print("Total distortion: ", total_distortion) + + # ── Output directory: /// ────────────── + targeted_str = "targeted" if targeted else "untargeted" + out_dir = os.path.join(dataset_name, targeted_str, solver) + os.makedirs(out_dir, exist_ok=True) + + # ── Save images and compute perceptual metrics ──────────────────────────────── + # Inputs are normalised with Normalize((0.5,),(1.0,)) → pixel = value + 0.5 + mse_list = [] + mae_list = [] + psnr_list = [] + ssim_list = [] + + for i in range(len(inputs)): + orig_np = np.clip(inputs[i].transpose(1, 2, 0) + 0.5, 0.0, 1.0) # (H,W,C) in [0,1] + adv_np = np.clip(adv[i].transpose(1, 2, 0) + 0.5, 0.0, 1.0) + + orig_uint8 = (orig_np * 255).astype(np.uint8) + adv_uint8 = (adv_np * 255).astype(np.uint8) + + if orig_uint8.shape[2] == 1: # grayscale (MNIST) + orig_img = Image.fromarray(orig_uint8[:, :, 0], mode="L") + adv_img = Image.fromarray(adv_uint8[:, :, 0], mode="L") + else: # RGB (CIFAR-10) + orig_img = Image.fromarray(orig_uint8, mode="RGB") + adv_img = Image.fromarray(adv_uint8, mode="RGB") + + orig_img.save(os.path.join(out_dir, f"original_{i}.png")) + adv_img.save(os.path.join(out_dir, f"adversarial_{i}.png")) + + mse = float(np.sum((orig_np - adv_np)**2)) + mae = float(np.sum(np.abs(orig_np - adv_np))) + psnr = float(calc_psnr(orig_np, adv_np, data_range=1.0)) + if orig_np.shape[2] == 1: + ssim = float(calc_ssim(orig_np[:, :, 0], adv_np[:, :, 0], data_range=1.0)) + else: + ssim = float(calc_ssim(orig_np, adv_np, data_range=1.0, channel_axis=2)) + + mse_list.append(mse) + mae_list.append(mae) + psnr_list.append(psnr) + ssim_list.append(ssim) + + # ── Write results.json ──────────────────────────────────────────────────────── + results = { + "dataset": dataset_name, + "targeted": targeted, + "solver": solver, + "num_samples": len(inputs), + "success_rate_pct": success_rate, + "total_distortion": total_distortion, + "time_mins": elapsed_mins, + "valid_classification": valid_class.tolist(), + "adversarial_classification": adv_class.tolist(), + "mse": { + "mean:" : float(np.mean(mse_list)), + "per_sample": mse_list + }, + "mae": { + "mean": float(np.mean(mae_list)), + "per_sample": mae_list + }, + "psnr": { + "mean": float(np.mean(psnr_list)), + "per_sample": psnr_list + }, + "ssim": { + "mean": float(np.mean(ssim_list)), + "per_sample": ssim_list + } + } + + results_path = os.path.join(out_dir, "results.json") + with open(results_path, "w") as f: + json.dump(results, f, indent=2) + print(f"Results saved to {results_path}") + # plt.tight_layout() # if targeted: # if solver=="newton": @@ -326,8 +554,16 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device): # else: # plt.savefig('adam_untargeted_mnist.png') - #visualization of created cifar10 adv examples - classes = ('plane', 'car', 'bird', 'cat', 'deer','dog', 'frog', 'horse', 'ship', 'truck') + #visualization of adversarial examples + if dataset_name == "imagenet": + imagenet_labels = get_imagenet_labels() + label_fn = lambda idx: imagenet_labels[int(idx)][:12] + elif dataset_name == "cifar10": + cifar_classes = ('plane','car','bird','cat','deer','dog','frog','horse','ship','truck') + label_fn = lambda idx: cifar_classes[int(idx)] + else: + label_fn = lambda idx: str(int(idx)) + cnt=0 plt.figure(figsize=(10,10)) for i in range(len(adv)): @@ -335,18 +571,12 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device): plt.subplot(10,10,cnt) plt.xticks([], []) plt.yticks([], []) - plt.title("{}->{}".format(classes[valid_class[i]],classes[adv_class[i]])) - plt.imshow(((adv[i]+0.5)).transpose(1,2,0)) - plt.tight_layout() - if targeted: - if solver=="newton": - plt.savefig('newton_targeted_cifar10.png') + plt.title(f"{label_fn(valid_class[i])}\u2192{label_fn(adv_class[i])}", fontsize=5) + img = np.clip((adv[i]+0.5).transpose(1,2,0), 0, 1) + if dataset_name == "mnist": + plt.imshow(img.squeeze(), cmap="gray") else: - plt.savefig('adam_targeted_cifar10.png') - else: - if solver=="newton": - plt.savefig('newton_untargeted_cifar10.png') - else: - plt.savefig('adam_untargeted_cifar10.png') - - + plt.imshow(img) + plt.tight_layout() + targeted_str2 = "targeted" if targeted else "untargeted" + plt.savefig(os.path.join(out_dir, f"grid_{dataset_name}_{targeted_str2}_{solver}.png"), dpi=120) From 6f7d1e84d6e2f925f1e927dfac8fe6324f05781e Mon Sep 17 00:00:00 2001 From: Ewa Miazga Date: Thu, 11 Jun 2026 21:34:43 +0200 Subject: [PATCH 02/10] Updated gitignore --- .gitignore | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/.gitignore b/.gitignore index fe3bfe0..7d07ee2 100644 --- a/.gitignore +++ b/.gitignore @@ -2,3 +2,17 @@ data/ graphs/ cifar10/ mnist/ + + +__pycache__/* +cifar10-early/ +imagenet/ +mnist-early/ +nes_attack.py +nes_results_runs/ +plots/ +run_logs/ +scripts/ + +*.csv +*.sh \ No newline at end of file From 7c32525aef4e58d41e6a9d250c45c4cfff8d7a3b Mon Sep 17 00:00:00 2001 From: Ewa Miazga Date: Fri, 12 Jun 2026 00:11:42 +0200 Subject: [PATCH 03/10] Updated zoo attack --- zoo_l2_attack_black.py | 315 ++++++++++++++++++++++++++++++++++------- 1 file changed, 267 insertions(+), 48 deletions(-) diff --git a/zoo_l2_attack_black.py b/zoo_l2_attack_black.py index 5560424..c922122 100644 --- a/zoo_l2_attack_black.py +++ b/zoo_l2_attack_black.py @@ -14,7 +14,22 @@ from skimage.metrics import structural_similarity as calc_ssim from setup_mnist_model import MNIST from setup_cifar10_model import CIFAR10 -from setup_imagenet_model import VGG16Wrapper, imagenet_transform, get_imagenet_labels +from setup_imagenet_model import get_imagenet_labels + +# ImageNette synset folders mapped to true ImageNet class IDs. +IMAGENETTE_TO_IMAGENET = { + 'n01440764': 0, # tench + 'n02102040': 217, # English springer + 'n02979186': 482, # cassette player + 'n03000684': 491, # chain saw + 'n03028079': 497, # church + 'n03394916': 566, # French horn + 'n03417042': 569, # garbage truck + 'n03425413': 571, # gas pump + 'n03445777': 574, # golf ball + 'n03888257': 701, # parachute +} +IMAGENETTE_LABEL_IDS = list(IMAGENETTE_TO_IMAGENET.values()) """##L2 Black Box Attack""" @@ -167,9 +182,10 @@ def loss_run(input,target,model,modifier,use_tanh,use_log,targeted,confidence,co # losses/l2/loss2 stay on GPU (consumed by solvers); scores+pert_images go to CPU for output return loss.detach(), l2.detach(), loss2.detach(), output.detach().cpu().numpy(), pert_out.detach().cpu().numpy() -def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, device='cpu', reset_adam_after_found=True,abort_early=True, +# batch size = 128 +def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, device='cpu', reset_adam_after_found=True, batch_size=128,max_iter=1000,const=0.01,confidence=0.0,early_stop_iters=100, binary_search_steps=9, - step_size=0.01,adam_beta1=0.9,adam_beta2=0.999): + step_size=0.01,adam_beta1=0.9,adam_beta2=0.999, early_stop=False): early_stop_iters = early_stop_iters if early_stop_iters != 0 else max_iter // 10 @@ -187,10 +203,11 @@ def l2_attack(input, target, model, targeted, use_log, use_tanh, solver, device= upper_bound=1e10 lower_bound=0.0 - out_best_attack=input.clone().detach().cpu().numpy() + out_best_attack=input.clone().detach().cpu().numpy()[0] out_best_const=const out_bestl2=1e10 out_bestscore=-1 + query_count = 0 if use_tanh: @@ -227,6 +244,7 @@ def compare(x,y): for iter in range(max_iter): if (iter+1)%100 == 0: loss, l2, loss2, _ , __ = loss_run(input,target,model,real_modifier,use_tanh,use_log,targeted,confidence,const,device) + query_count += 1 print("[STATS][L2] iter = {}, loss = {:.5f}, loss1 = {:.5f}, loss2 = {:.5f}".format(iter+1, loss[0].item(), l2[0].item(), loss2[0].item())) sys.stdout.flush() @@ -241,6 +259,7 @@ def compare(x,y): flat_var[neg_idx, indice] -= 0.0001 losses, l2s, losses2, scores, pert_images = loss_run(input,target,model,var,use_tanh,use_log,targeted,confidence,const,device) + query_count += (batch_size * 2 + 1) # Solver updates real_modifier in-place — everything stays on GPU if solver=="adam": @@ -268,7 +287,7 @@ def compare(x,y): last_loss2=loss2_val loss_val = losses[0].item() - if abort_early and (iter+1) % early_stop_iters == 0: + if (iter+1) % early_stop_iters == 0: if loss_val > prev*.9999: print("Early stopping because there is no improvement") break @@ -288,6 +307,8 @@ def compare(x,y): out_bestscore = np.argmax(scores[0]) out_best_attack = pert_images[0] out_best_const = const + if early_stop: + return out_best_attack, out_bestscore, int(query_count) if compare(bestscore, np.argmax(target.detach().cpu().numpy(),-1)) and bestscore != -1: print('old constant: ', const) @@ -304,9 +325,9 @@ def compare(x,y): const *= 10 print('new constant: ', const) - return out_best_attack, out_bestscore + return out_best_attack, out_bestscore, int(query_count) -def generate_data(test_loader, targeted, samples, start, num_label=10): +def generate_data(test_loader, targeted, samples, start, num_label=10, targeted_k=None): inputs=[] targets=[] cnt=0 @@ -316,6 +337,11 @@ def generate_data(test_loader, targeted, samples, start, num_label=10): data, label = data[0],data[1] if targeted: seq = range(num_label) + if targeted_k is not None: + rng = np.random.RandomState(42 + i) + candidates = [j for j in seq if j != label.item()] + k = max(1, min(int(targeted_k), len(candidates))) + seq = rng.choice(candidates, size=k, replace=False).tolist() for j in seq: if j==label.item(): continue @@ -335,22 +361,59 @@ def generate_data(test_loader, targeted, samples, start, num_label=10): return inputs,targets -def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size=0.01): + +def select_one_per_label(data_arr, label_arr, required_labels, start=0): + """ + Select one sample per required label, preserving `required_labels` order. + Returns (selected_data, selected_labels, missing_labels). + """ + first_idx = {} + req = set(required_labels) + start_idx = max(int(start), 0) + + for i in range(start_idx, len(label_arr)): + lbl = int(label_arr[i]) + if lbl in req and lbl not in first_idx: + first_idx[lbl] = i + if len(first_idx) == len(required_labels): + break + + chosen_labels = [lbl for lbl in required_labels if lbl in first_idx] + missing = [lbl for lbl in required_labels if lbl not in first_idx] + + if not chosen_labels: + return np.empty((0, *data_arr.shape[1:]), dtype=data_arr.dtype), np.empty((0,), dtype=label_arr.dtype), missing + + idxs = [first_idx[lbl] for lbl in chosen_labels] + return data_arr[idxs], label_arr[idxs], missing + +def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, + step_size=0.01, batch_size=128, max_iter=1000, + const=0.01, confidence=0.0, early_stop_iters=100, binary_search_steps=9, + adam_beta1=0.9, adam_beta2=0.999, early_stop=False): r = [] + queries = [] print('go up to',len(inputs)) # run 1 image at a time, minibatches used for gradient evaluation for i in range(len(inputs)): print('tick',i+1) - attack,score=l2_attack(np.expand_dims(inputs[i],0), np.expand_dims(targets[i],0), model, targeted, use_log, use_tanh, solver, device=device, step_size=step_size) - r.append(attack) - return np.array(r) + attack_img, score, q = l2_attack( + np.expand_dims(inputs[i],0), np.expand_dims(targets[i],0), model, + targeted, use_log, use_tanh, solver, device=device, + batch_size=batch_size, max_iter=max_iter, + const=const, confidence=confidence, early_stop_iters=early_stop_iters, + binary_search_steps=binary_search_steps, step_size=step_size, + adam_beta1=adam_beta1, adam_beta2=adam_beta2, early_stop=early_stop) + r.append(attack_img) + queries.append(int(q)) + return np.array(r), queries if __name__=='__main__': parser = argparse.ArgumentParser(description="ZOO L2 Black-Box Adversarial Attack") parser.add_argument("--dataset", choices=["mnist", "cifar10", "imagenet"], default="cifar10", help="Dataset to attack (default: cifar10)") parser.add_argument("--solver", choices=["adam", "newton", "sgd", "sgdsign", "signum", "lion", "adahessian"], - default="newton", help="Coordinate-descent solver (default: newton)") + default="adam", help="Coordinate-descent solver (default: adam)") parser.add_argument("--targeted", action="store_true", help="Run a targeted attack (default: untargeted)") parser.add_argument("--samples", type=int, default=10, @@ -359,6 +422,28 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, help="Offset into the test set (default: 6)") parser.add_argument("--imagenet_dir", default=None, help="Path to ImageNet val directory (required when --dataset imagenet)") + parser.add_argument("--targeted-k", type=int, default=None, + help="In targeted mode, use at most K random target classes per source image") + parser.add_argument("--batch-size", type=int, default=128, + help="Coordinates per optimization step (default: 128)") + parser.add_argument("--max-iter", type=int, default=1000, + help="Max iterations per binary-search stage (default: 1000)") + parser.add_argument("--const", type=float, default=0.01, + help="Initial attack trade-off constant (default: 0.01)") + parser.add_argument("--confidence", type=float, default=0.0, + help="CW confidence margin (default: 0.0)") + parser.add_argument("--early-stop-iters", type=int, default=100, + help="Abort check cadence (default: 100)") + parser.add_argument("--binary-search-steps", type=int, default=9, + help="Binary search steps over const (default: 9)") + parser.add_argument("--adam-beta1", type=float, default=0.9, + help="Optimizer beta1 (default: 0.9)") + parser.add_argument("--adam-beta2", type=float, default=0.999, + help="Optimizer beta2 (default: 0.999)") + parser.add_argument("--step-size", type=float, default=None, + help="Override the solver's default coordinate step size") + parser.add_argument("--early-stop", action="store_true", + help="Enable early stopping based on attack success (default: false)") args = parser.parse_args() np.random.seed(42) @@ -372,21 +457,79 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, device = torch.device("cuda" if (use_cuda and torch.cuda.is_available()) else "cpu") print(f"Dataset: {dataset_name} | Solver: {solver} | Targeted: {targeted} | Device: {device}") - transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (1.0,))]) + transform_gray = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (1.0,))]) + transform_rgb = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,0.5,0.5), (1.0,1.0,1.0))]) if dataset_name == "mnist": - test_set = datasets.MNIST(root='./data', train=False, transform=transform, download=True) + test_set = datasets.MNIST(root='./data', train=False, transform=transform_gray, download=True) model = MNIST().to(device) model.load_state_dict(torch.load('./models/mnist_model.pt', map_location=device, weights_only=False)) num_label = 10 elif dataset_name == "imagenet": - if args.imagenet_dir is None: - raise ValueError("--imagenet_dir is required when --dataset imagenet") + from torchvision import models from torchvision.datasets import ImageFolder - test_set = ImageFolder(root=args.imagenet_dir, transform=imagenet_transform()) - model = VGG16Wrapper(pretrained=True).to(device) + + val_dir = args.imagenet_dir if args.imagenet_dir is not None else os.path.join('data', 'imagenette2-320', 'val') + if not os.path.isdir(val_dir): + import urllib.request, tarfile + os.makedirs('data', exist_ok=True) + archive = os.path.join('data', 'imagenette2-320.tgz') + if not os.path.exists(archive): + print('ImageNette not found, downloading (~100 MB)...') + urllib.request.urlretrieve( + 'https://s3.amazonaws.com/fast-ai-imageclas/imagenette2-320.tgz', + archive, + reporthook=lambda b, bs, t: print( + '\r %.1f/%.1f MB' % (b * bs / 1e6, t / 1e6), end='', flush=True)) + print() + print('Extracting...') + with tarfile.open(archive, 'r:gz') as tar: + tar.extractall('data') + os.remove(archive) + print('ImageNette ready.') + + val_dir = os.path.join('data', 'imagenette2-320', 'val') + if not os.path.isdir(val_dir): + raise ValueError("ImageNette validation directory not found after extraction: %s" % val_dir) + + img_transform = transforms.Compose([ + transforms.Resize((299, 299)), + transforms.ToTensor(), + transforms.Normalize((0.5, 0.5, 0.5), (1.0, 1.0, 1.0)), + ]) + + class _ImageNetteDataset(ImageFolder): + """ImageFolder with true ImageNet class IDs from synset folder names.""" + def __getitem__(self, idx): + img, folder_idx = super().__getitem__(idx) + synset = self.classes[folder_idx] + label = IMAGENETTE_TO_IMAGENET.get(synset, 0) + return img, label + + test_set = _ImageNetteDataset(val_dir, transform=img_transform) + + inception = models.inception_v3(weights=models.Inception_V3_Weights.IMAGENET1K_V1) + inception.aux_logits = False + + class _InceptionWrapper(torch.nn.Module): + """Accepts [-0.5,0.5] input, applies ImageNet normalisation inside.""" + _MEAN = torch.tensor([0.485, 0.456, 0.406]).view(1, 3, 1, 1) + _STD = torch.tensor([0.229, 0.224, 0.225]).view(1, 3, 1, 1) + + def __init__(self, base): + super().__init__() + self.base = base + + def forward(self, x): + x = x + 0.5 + mean = self._MEAN.to(x.device, x.dtype) + std = self._STD.to(x.device, x.dtype) + x = (x - mean) / std + return self.base(x) + + model = _InceptionWrapper(inception).to(device) num_label = 1000 else: - test_set = datasets.CIFAR10(root='./data', train=False, transform=transform, download=True) + test_set = datasets.CIFAR10(root='./data', train=False, transform=transform_rgb, download=True) model = CIFAR10().to(device) model.load_state_dict(torch.load('./models/cifar10_model.pt', map_location=device, weights_only=False)) num_label = 10 @@ -401,9 +544,10 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, ADAM_LR = 0.01 NEWTON_LR = 0.01 SGD_LR = 0.01 - SGDSIGN_LR = 0.001 - SIGNUM_LR = 0.001 - LION_LR = 0.001 + SGDSIGN_LR = 0.015 + SIGNUM_LR = 0.015 + # cifar10 - 0.01 + LION_LR = 0.015 ADAHESSIAN_LR = 0.01 lr_map = { @@ -415,36 +559,88 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, "lion": LION_LR, "adahessian": ADAHESSIAN_LR, } - step_size = lr_map[solver] + step_size = args.step_size if args.step_size is not None else lr_map[solver] + # ───────────────────────────────────────────────────────────────────────── #start is a offset to start taking sample from test set #samples is the how many samples to take in total : for targeted, 1 means all 9 class target -> 9 total samples whereas for untargeted the original data #sample is taken i.e. 1 sample only - # check the accuracy of the model on the orginal samples - data, label = generate_data(test_loader,targeted=False,samples=len(test_loader),start=args.start,num_label=num_label) - pred = model(torch.from_numpy(data).to(device)) - pred = torch.argmax(pred,dim=-1).cpu().numpy() - label = np.argmax(label,axis=-1) - acc = (pred==label).sum()/len(pred) - print("Model accuracy on original samples: ", acc*100.0, "%") - # per class classification accuracy - print("labels: ", label) - for i in range(10): - idx = label==i - acc = (pred[idx]==label[idx]).sum()/idx.sum() - print("Class {} accuracy: {:.2f}%".format(i, acc*100.0)) - - # exclude the missclassifed samples from the attack evaluation - data = data[pred==label] - label = label[pred==label] - print("Number of correctly classified samples: ", len(data)) - test_loader = torch.utils.data.DataLoader(torch.utils.data.TensorDataset(torch.from_numpy(data), torch.from_numpy(label)), batch_size=1, shuffle=False) - - inputs, targets = generate_data(test_loader,targeted,samples=args.samples,start=args.start,num_label=num_label) + # Collect correctly-classified source images. + # For untargeted ImageNet, we need enough coverage to pick one sample + # from each ImageNette class. + use_imagenette_one_per_class = (dataset_name == "imagenet" and not targeted) + needed_correct = None if use_imagenette_one_per_class else (args.start + args.samples + 1) + data_correct = [] + label_correct = [] + scanned = 0 + scanned_correct = 0 + with torch.no_grad(): + for img, lbl in test_loader: + scanned += 1 + img_dev = img.to(device) + lbl_int = int(lbl.item()) + pred = int(model(img_dev).argmax(dim=1).item()) + if pred == lbl_int: + scanned_correct += 1 + data_correct.append(img[0].numpy()) + label_correct.append(lbl_int) + if needed_correct is not None and len(data_correct) >= needed_correct: + break + + acc_subset = (scanned_correct / max(scanned, 1)) * 100.0 + print("Model accuracy on scanned subset: %.2f%% (%d/%d)" % (acc_subset, scanned_correct, scanned)) + print("Number of correctly classified samples collected:", len(data_correct)) + if needed_correct is not None and len(data_correct) < needed_correct: + raise RuntimeError( + "Not enough correctly classified samples collected (%d < %d). " + "Lower --start/--samples or provide more data." % (len(data_correct), needed_correct) + ) + + if use_imagenette_one_per_class: + selected_data, selected_labels, missing = select_one_per_label( + np.array(data_correct, dtype=np.float32), + np.array(label_correct, dtype=np.int64), + IMAGENETTE_LABEL_IDS, + start=args.start, + ) + if missing: + raise RuntimeError( + "Could not find correctly-classified samples for labels: %s" % missing + ) + + print('Auto-enabling class-balanced ImageNette sources for untargeted ImageNet.') + print('Using class-balanced ImageNette sources (10 classes, 1 sample each).') + print('Selected labels: %s' % selected_labels.tolist()) + data_correct = selected_data.tolist() + label_correct = selected_labels.tolist() + args.samples = len(selected_data) + args.start = -1 + + data = np.array(data_correct, dtype=np.float32) + label = np.array(label_correct, dtype=np.int64) + test_loader = torch.utils.data.DataLoader( + torch.utils.data.TensorDataset(torch.from_numpy(data), torch.from_numpy(label)), + batch_size=1, shuffle=False) + + inputs, targets = generate_data( + test_loader, targeted, samples=args.samples, start=args.start, + num_label=num_label, targeted_k=args.targeted_k) timestart = time.time() - adv = attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, step_size=step_size) + adv, queries_list = attack( + inputs, targets, model, targeted, use_log, use_tanh, solver, device, + step_size=step_size, + batch_size=args.batch_size, + max_iter=args.max_iter, + const=args.const, + confidence=args.confidence, + early_stop_iters=args.early_stop_iters, + binary_search_steps=args.binary_search_steps, + adam_beta1=args.adam_beta1, + adam_beta2=args.adam_beta2, + early_stop=args.early_stop + ) timeend = time.time() print("Took",(timeend-timestart)/60.0,"mins to run",len(inputs),"samples.") @@ -455,8 +651,14 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, valid_class = np.argmax(model(torch.from_numpy(inputs).to(device)).detach().cpu().numpy(), -1) adv_class = np.argmax(model(torch.from_numpy(adv).to(device)).detach().cpu().numpy(), -1) - acc = ((valid_class == adv_class).sum()) / len(inputs) - success_rate = (1.0 - acc) * 100.0 + if targeted: + target_class = np.argmax(targets, axis=-1) + success_mask = (adv_class == target_class) + else: + success_mask = (valid_class != adv_class) + success_rate = float(success_mask.mean() * 100.0) + successful_queries = [queries_list[i] for i in range(len(success_mask)) if success_mask[i]] + mean_queries = float(np.mean(successful_queries)) if successful_queries else float('nan') # total change depends on input size (L2) total_distortion = float(np.sum((adv - inputs) ** 2) ** 0.5) elapsed_mins = (timeend - timestart) / 60.0 @@ -517,8 +719,25 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, "success_rate_pct": success_rate, "total_distortion": total_distortion, "time_mins": elapsed_mins, + "queries": { + "per_sample": queries_list, + "mean_on_success": mean_queries, + "budget": int(args.binary_search_steps * args.max_iter * (2 * args.batch_size + 1)) + }, "valid_classification": valid_class.tolist(), "adversarial_classification": adv_class.tolist(), + "attack_params": { + "batch_size": args.batch_size, + "max_iter": args.max_iter, + "const": args.const, + "confidence": args.confidence, + "binary_search_steps": args.binary_search_steps, + "early_stop_iters": args.early_stop_iters, + "adam_beta1": args.adam_beta1, + "adam_beta2": args.adam_beta2, + "step_size": step_size, + "targeted_k": args.targeted_k, + }, "mse": { "mean:" : float(np.mean(mse_list)), "per_sample": mse_list @@ -579,4 +798,4 @@ def attack(inputs, targets, model, targeted, use_log, use_tanh, solver, device, plt.imshow(img) plt.tight_layout() targeted_str2 = "targeted" if targeted else "untargeted" - plt.savefig(os.path.join(out_dir, f"grid_{dataset_name}_{targeted_str2}_{solver}.png"), dpi=120) + plt.savefig(os.path.join(out_dir, f"grid_{dataset_name}_{targeted_str2}_{solver}.png"), dpi=120) \ No newline at end of file From cbe6e9820c44e5aacc1fa976004fe2a4643d5867 Mon Sep 17 00:00:00 2001 From: Ewa Miazga <126163122+ewaMiazga@users.noreply.github.com> Date: Fri, 12 Jun 2026 01:34:57 +0200 Subject: [PATCH 04/10] Files for zoo targeted attacks for all the optimizers added --- .../grid_mnist_targeted_adahessian.png | Bin 0 -> 65468 bytes sample_results/grid_mnist_targeted_adam.png | Bin 0 -> 91079 bytes sample_results/grid_mnist_targeted_lion.png | Bin 0 -> 89986 bytes sample_results/grid_mnist_targeted_newton.png | Bin 0 -> 83894 bytes sample_results/grid_mnist_targeted_sgd.png | Bin 0 -> 84080 bytes sample_results/grid_mnist_targeted_sgdsign.png | Bin 0 -> 91096 bytes sample_results/grid_mnist_targeted_signum.png | Bin 0 -> 90390 bytes 7 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 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