From 1be24c73eae546d494663ae31154d9c2db823f34 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 14 Feb 2024 01:15:12 -0600 Subject: [PATCH 01/25] Add funnel methods and function Add the funnel Metadynamics and Funnel ABF along with the restraint function --- pysages/methods/funnel_abf.py | 448 +++++++++++++++++++++++++++++ pysages/methods/funnel_function.py | 236 +++++++++++++++ pysages/methods/funnel_metad.py | 392 +++++++++++++++++++++++++ 3 files changed, 1076 insertions(+) create mode 100644 pysages/methods/funnel_abf.py create mode 100644 pysages/methods/funnel_function.py create mode 100644 pysages/methods/funnel_metad.py diff --git a/pysages/methods/funnel_abf.py b/pysages/methods/funnel_abf.py new file mode 100644 index 00000000..739b9573 --- /dev/null +++ b/pysages/methods/funnel_abf.py @@ -0,0 +1,448 @@ +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Funnel Adaptive Biasing Force (Funnel_ABF) sampling method. + +Funnel_ABF partitions the collective variable space into bins determined by a user +provided grid, and keeps a tabulation of the number of visits to each bin +as well as the sum of generalized forces experienced by the system at each +configuration bin in the presence of a restraining potential. These provide an estimate for the mean +generalized force removing the effect of the restraint potential on the CV, which can be integrated +to yield the free energy. + +The implementation of the adaptive biasing force method here closely follows +Kulhánek, P.; Bouchal, T.; Durník, I.; Štěpán, J.; Fuxreiter, M.; Mones, L.; Petřek, M.; Střelcová, Z. PMFLib - A Toolkit for Free Energy Calculations; https://pmflib.ncbr.muni.cz, 2018. +""" + +from functools import partial +from typing import NamedTuple + +from jax import jit +from jax import numpy as np +from jax import vmap +from jax.numpy import linalg +from jax.lax import cond +from jax.scipy import linalg as lg + +from pysages.approxfun.core import compute_mesh +from pysages.approxfun.core import scale as _scale +from pysages.grids import build_indexer +from pysages.methods.analysis import GradientLearning, _analyze +from pysages.methods.core import GriddedSamplingMethod, Result, generalize +from pysages.methods.restraints import apply_restraints +from pysages.methods.utils import numpyfy_vals +from pysages.ml.models import MLP +from pysages.ml.objectives import GradientsSSE, L2Regularization +from pysages.ml.optimizers import LevenbergMarquardt +from pysages.ml.training import NNData, build_fitting_function, convolve, normalize +from pysages.ml.utils import blackman_kernel, pack, unpack +from pysages.typing import JaxArray, NamedTuple +from pysages.utils import dispatch, solve_pos_def + + +class FABFState(NamedTuple): + """ + ABF internal state. + + Parameters + ---------- + + xi: JaxArray (CV shape) + Last collective variable recorded in the simulation. + + bias: JaxArray (Nparticles, d) + Array with biasing forces for each particle. + + hist: JaxArray (grid.shape) + Histogram of visits to the bins in the collective variable grid. + + Fsum: JaxArray (grid.shape, CV shape) + Cumulative forces at each bin in the CV grid. + + force: JaxArray (grid.shape, CV shape) + Average force at each bin of the CV grid. + + Wp: JaxArray (CV shape) + Product of W matrix and momenta matrix for the current step. + + Wp_: JaxArray (CV shape) + Product of W matrix and momenta matrix for the previous step. + """ + + xi: JaxArray + bias: JaxArray + hist: JaxArray + Fsum: JaxArray + force: JaxArray + Wp: JaxArray + p: JaxArray + restr: JaxArray + proj: JaxArray + Frestr: JaxArray + + def __repr__(self): + return repr("PySAGES " + type(self).__name__) + + +class Funnel_ABF(GriddedSamplingMethod): + """ + Funnel Adaptive Biasing Force Method. + + Attributes + ---------- + + snapshot_flags: + Indicate the system properties required from a snapshot. + + Parameters + ---------- + + cvs: Union[List, Tuple] + Set of user selected collective variable. + + grid: Grid + Specifies the collective variables domain and number of bins for discretizing + the CV space along each CV dimension. + + N: Optional[int] = 500 + Threshold parameter before accounting for the full average + of the adaptive biasing force. + + restraints: Optional[CVRestraints] = None + If provided, indicate that harmonic restraints will be applied when any + collective variable lies outside the box from `restraints.lower` to + `restraints.upper`. + ext_force: + External force from the funnel potential + """ + + snapshot_flags = {"positions", "indices", "momenta"} + + def __init__(self, cvs, grid, **kwargs): + super().__init__(cvs, grid, **kwargs) + self.N = np.asarray(self.kwargs.get("N", 500)) + + def build(self, snapshot, helpers, *args, **kwargs): + """ + Build the functions for the execution of ABF + + Parameters + ---------- + + snapshot: + PySAGES snapshot of the simulation (backend dependent). + + helpers: + Helper function bundle as generated by + `SamplingMethod.context[0].get_backend().build_helpers`. + + Returns + ------- + + Tuple `(snapshot, initialize, update)` to run ABF simulations. + """ + self.ext_force = self.kwargs.get("ext_force", lambda rs: funnel_force(rs)) + return _abf(self, snapshot, helpers) + + +def _abf(method, snapshot, helpers): + """ + Internal function that generates the init and update functions. + + Parameters + ---------- + + method: Funnel_ABF + Class that generates the functions. + snapshot: + PySAGES snapshot of the simulation (backend dependent). + helpers + Helper function bundle as generated by + `SamplingMethod.context[0].get_backend().build_helpers`. + + Returns + ------- + Tuple `(snapshot, initialize, update)` to run ABF simulations. + """ + cv = method.cv + grid = method.grid + + dt = snapshot.dt + dims = grid.shape.size + natoms = np.size(snapshot.positions, 0) + get_grid_index = build_indexer(grid) + estimate_force = build_force_estimator(method) + ext_force = method.ext_force + + def initialize(): + """ + Internal function that generates the first FABFstate with correctly shaped JaxArrays. + + Returns + ------- + FABFState + Initialized State + """ + xi, _ = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + hist = np.zeros(grid.shape, dtype=np.uint32) + Fsum = np.zeros((*grid.shape, dims)) + force = np.zeros(dims) + Wp = np.zeros((dims, helpers.dimensionality(), natoms)) + p = np.zeros((natoms, helpers.dimensionality())) + restr = np.zeros(dims) + proj = 0.0 + Frestr = np.zeros((*grid.shape, dims)) + return FABFState(xi, bias, hist, Fsum, force, Wp, p, restr, proj, Frestr) + + def update(state, data): + """ + Advance the state of the Funnel_ABF simulation. + + Parameters + ---------- + + state: FABFstate + Old FABFstate from the previous simutlation step. + data: JaxArray + Snapshot to access simulation data. + + Returns + ------- + FABFState + Updated internal state. + """ + # Compute the collective variable and its jacobian + xi, Jxi = cv(data) + + p = data.momenta + Wp = linalg.inv(Jxi @ Jxi.T) @ Jxi + # https://pmflib.ncbr.muni.cz/wiki6/index.php/Adaptive_Biasing_Force_Method + F_pot = Wp @ ((p - state.p.reshape(p.shape)) / (dt)) + F_kin_old = (Wp - state.Wp.reshape(Wp.shape)) @ state.p.reshape(p.shape) / dt + F_kin_new = (Wp - state.Wp.reshape(Wp.shape)) @ p / dt + F_kin = 0.5 * (F_kin_old + F_kin_new) + dWp_dt = F_pot + F_kin + I_xi = get_grid_index(xi) + force = estimate_force(xi, I_xi, state.Fsum, state.hist).reshape(dims) + hist = state.hist.at[I_xi].add(1) + e_f, proj = ext_force(data) + # Calculate the restraint contribution to the force + restr = Wp @ e_f.T.reshape(p.shape) + # Remove the effect of the biasing force + Fsum = state.Fsum.at[I_xi].add(dWp_dt + 0.5 * (force + state.force)) + Frestr = state.Frestr.at[I_xi].add(restr) + bias = np.reshape(-Jxi.T @ force, state.bias.shape) - np.reshape(e_f, state.bias.shape) + + return FABFState( + xi, + bias, + hist, + Fsum, + force, + Wp.reshape(state.Wp.shape), + p.reshape(state.p.shape), + restr, + proj, + Frestr, + ) + + return snapshot, initialize, generalize(update, helpers) + + +@dispatch +def build_force_estimator(method: Funnel_ABF): + """ + Returns a function that computes the average forces + (or the harmonic restraints forces if provided). + """ + N = method.N + grid = method.grid + + def average_force(data): + _, I_xi, Fsum, hist = data + return Fsum[I_xi] / np.maximum(N, hist[I_xi]) + + if method.restraints is None: + estimate_force = jit(lambda *args: average_force(args)) + else: + lo, hi, kl, kh = method.restraints + + def restraints_force(data): + xi, *_ = data + xi = xi.reshape(grid.shape.size) + return apply_restraints(lo, hi, kl, kh, xi) + + def estimate_force(xi, I_xi, Fsum, hist): + ob = np.any(np.array(I_xi) == grid.shape) # Out of bounds condition + data = (xi, I_xi, Fsum, hist) + return cond(ob, restraints_force, average_force, data) + + return estimate_force + + +@dispatch +def analyze(result: Result[Funnel_ABF], **kwargs): + """ + Computes the free energy from the result of an `Funnel_ABF` run. + Integrates the forces using Sobolev approximation of functions by gradient learning. + + Parameters + ---------- + + result: Result[Funnel_ABF]: + Result bundle containing method, final ABF state, and callback. + + topology: Optional[Tuple[int]] = (4, 4) + Defines the architecture of the neural network (number of nodes of each hidden layer). + + Returns + ------- + + dict: A dictionary with the following keys: + + histogram: JaxArray + Histogram for the states visited during the method. + + mean_force: JaxArray + Average force at each bin of the CV grid. + + free_energy: JaxArray + Free Energy at each bin of the CV grid. + + force_corrected: JaxArray + Average force at each bin of the CV grid without the restraint contribution. + + free_energy_corrected: JaxArray + Free Energy at each bin of the CV grid without the restraint contribution. + + mean_restraint: JaxArray + Average force contributio of the restraint at each bin of the CV grid. + + free_energy_restraint: JaxArray + Free Energy of the restraint at each bin of the CV grid. + + mesh: JaxArray + Grid used in the method. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the CV domain defined + by the grid. + + fes_corr: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy without restraints in the CV domain defined + by the grid. + fes_rst: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy of the restraint in the CV domain defined + by the grid. + """ + topology = kwargs.get("topology", (4, 4)) + method = result.method + state = result.states[0] + grid = method.grid + inputs = (compute_mesh(grid) + 1) * grid.size / 2 + grid.lower + + model = MLP(grid.shape.size, 1, topology, transform=partial(_scale, grid=grid)) + optimizer = LevenbergMarquardt(loss=GradientsSSE(), max_iters=2500, reg=L2Regularization(1e-3)) + fit = build_fitting_function(model, optimizer) + + @vmap + def smooth(data): + boundary = "wrap" if grid.is_periodic else "edge" + kernel = np.float32(blackman_kernel(grid.shape.size, 7)) + return convolve(data.T, kernel, boundary=boundary).T + + if grid.is_periodic: + + def _normalize(data, axes=None): + data, _, std = normalize(data, axes=axes) + return std * data / std.max(), std.max() + + else: + + def _normalize(data, axes=None): + std = data.std(axis=axes).max() + return data / std, std + + def train(nn, data): + axes = tuple(range(data.ndim - 1)) + data, std = _normalize(data, axes=axes) + reference = np.float64(smooth(np.float32(data))) + params = fit(nn.params, inputs, reference).params + return NNData(params, nn.mean, std / reference.std(axis=axes).max()) + + def build_fes_fn(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = state.Fsum / np.maximum(hist, 1) + + ps, layout = unpack(model.parameters) + nn = train(NNData(ps, 0.0, 1.0), F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + def build_fes_corr(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = (state.Fsum + state.Frestr) / np.maximum(hist, 1) + + ps, layout = unpack(model.parameters) + nn = train(NNData(ps, 0.0, 1.0), F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + def build_fes_rst(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = state.Frestr / np.maximum(hist, 1) + + ps, layout = unpack(model.parameters) + nn = train(NNData(ps, 0.0, 1.0), F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + def average_forces(state): + Fsum = state.Fsum + shape = (*Fsum.shape[:-1], 1) + return Fsum / np.maximum(state.hist.reshape(shape), 1) + + def average_restraints(state): + Fsum = state.Frestr + shape = (*Fsum.shape[:-1], 1) + return Fsum / np.maximum(state.hist.reshape(shape), 1) + + def average_corrected(state): + Fsum = state.Fsum + state.Frestr + shape = (*Fsum.shape[:-1], 1) + return Fsum / np.maximum(state.hist.reshape(shape), 1) + + fes_fn = build_fes_fn(state) + fes_corr = build_fes_corr(state) + fes_rst = build_fes_rst(state) + + ana_result = dict( + histogram=state.hist, + mean_force=average_forces(state), + free_energy=fes_fn(inputs).reshape(grid.shape), + mesh=inputs, + fes_fn=fes_fn, + fes_corr=fes_corr, + fes_rst=fes_rst, + mean_restraint=average_restraints(state), + force_corrected=average_corrected(state), + free_energy_corrected=fes_corr(inputs).reshape(grid.shape), + free_energy_restraint=fes_rst(inputs).reshape(grid.shape), + ) + return numpyfy_vals(ana_result) diff --git a/pysages/methods/funnel_function.py b/pysages/methods/funnel_function.py new file mode 100644 index 00000000..6eadd03e --- /dev/null +++ b/pysages/methods/funnel_function.py @@ -0,0 +1,236 @@ +# funnel functions +from functools import partial + +import jax.numpy as np +from jax import grad, jit +from jax.numpy import linalg + +from pysages.colvars.funnels import center, periodic, kabsch + + +def y_function(x, Z_0, Zcc, R): + m = (R - Z_0) / Zcc + return m * x + Z_0 + + +def cone(x, eje, Zcc, Z_0, R, k): + x_coord = np.dot(x, eje) + proj = x_coord * eje + x_perp = x - proj + F = linalg.norm(x_perp) - y_function(x_coord, Z_0, Zcc, R) + return np.where(F < 0.0, 0.0, 0.5 * k * F * F) + + +def cylinder(x, eje, R, k): + x_perp = x - np.dot(x, eje) * eje + F = linalg.norm(x_perp) - R + return np.where(F < 0.0, 0.0, 0.5 * k * F * F) + + +def borderU(x, eje, k, cv_max): + # x = lig_com-A + proj_restr = np.dot(x, eje) + B = proj_restr - cv_max # upper limit + return np.where(B < 0.0, 0.0, 0.5 * k * B * B) + + +def borderL(x, eje, k, cv_min): + # x = lig_com-A + proj = np.dot(x, eje) + B = proj - cv_min # lower limit + return np.where(B > 0.0, 0.0, 0.5 * k * B * B) + + +def rotation_lig(pos_lig, pos_ref, references, weights, com_ref): + com_prot = center(pos_ref, weights) + lig_rot = np.dot(pos_lig - com_prot, kabsch(pos_ref, references, weights)) + return lig_rot + com_ref + + +def funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): + A_r = A + B_r = B + norm_eje = linalg.norm(B_r - A_r) + eje = (B_r - A_r) / norm_eje + Z_pos = Zcc * eje + x_fit = x - A_r + proj = np.dot(x_fit, eje) + return np.where( + proj < Zcc, + cone(x_fit, eje, Zcc, Z_0, R, k) + borderL(x_fit, eje, k_cv, cv_min), + cylinder(x_fit, eje, R, k) + borderU(x_fit, eje, k_cv, cv_max), + ) + + +def proj_funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): + A_r = A + B_r = B + norm_eje = linalg.norm(B_r - A_r) + eje = (B_r - A_r) / norm_eje + Z_pos = Zcc * eje + x_fit = x - A_r + proj = np.dot(x_fit, eje) + perp = x_fit - proj * eje + return linalg.norm(perp) + + +def intermediate_funnel( + pos, + ids, + indexes, + references, + weights_ligand, + weights_protein, + A, + B, + Zcc, + Z_0, + R, + k, + k_cv, + cv_min, + cv_max, + box, +): + indices_ligand = np.array(indexes[0]) + indices_protein = np.array(indexes[1]) + indices_anchor = np.array(indexes[2]) + pos_anchor = pos[ids[indices_anchor]] + pos_protein = pos[ids[indices_protein]] + ligand_distances = periodic(pos[ids[indices_ligand]] - pos_anchor, np.asarray(box)) + new_lig_pos = pos_anchor + ligand_distances + pos_ligand = center(new_lig_pos, weights_ligand) + pos_ref = center(np.asarray(references), weights_protein) + lig_rot = rotation_lig( + pos_ligand, pos_protein, np.asarray(references), weights_protein, pos_ref + ) + return funnel(lig_rot, np.asarray(A), np.asarray(B), Zcc, Z_0, R, k, k_cv, cv_min, cv_max) + + +def log_funnel( + pos, + ids, + indexes, + references, + weights_ligand, + weights_protein, + A, + B, + Zcc, + Z_0, + R, + k, + k_cv, + cv_min, + cv_max, + box, +): + indices_ligand = np.array(indexes[0]) + indices_protein = np.array(indexes[1]) + indices_anchor = np.array(indexes[2]) + pos_anchor = pos[ids[indices_anchor]] + pos_protein = pos[ids[indices_protein]] + ligand_distances = periodic(pos[ids[indices_ligand]] - pos_anchor, np.asarray(box)) + new_lig_pos = pos_anchor + ligand_distances + pos_ligand = center(new_lig_pos, weights_ligand) + pos_ref = center(np.asarray(references), weights_protein) + lig_rot = rotation_lig( + pos_ligand, pos_protein, np.asarray(references), weights_protein, pos_ref + ) + return proj_funnel(lig_rot, np.asarray(A), np.asarray(B), Zcc, Z_0, R, k, k_cv, cv_min, cv_max) + + +def external_funnel( + data, + indexes, + references, + weights_ligand, + weights_protein, + A, + B, + Zcc, + Z_0, + R, + k, + k_cv, + cv_min, + cv_max, + box, +): + pos = data.positions[:, :3] + ids = data.indices + bias = grad(intermediate_funnel)( + pos, + ids, + indexes, + references, + weights_ligand, + weights_protein, + A, + B, + Zcc, + Z_0, + R, + k, + k_cv, + cv_min, + cv_max, + box, + ) + proj = log_funnel( + pos, + ids, + indexes, + references, + weights_ligand, + weights_protein, + A, + B, + Zcc, + Z_0, + R, + k, + k_cv, + cv_min, + cv_max, + box, + ) + return bias, proj + + +def get_funnel_force( + indices_sys, + ref_positions, + A, + B, + Zcc, + Z_0, + R_cyl, + k_cone, + k_cv, + cv_min, + cv_max, + cv_buffer, + box, + w_ligand=None, + w_protein=None, +): + + funnel_force = partial( + external_funnel, + indexes=indices_sys, + references=ref_positions, + weights_ligand=w_ligand, + weights_protein=w_protein, + A=A, + B=B, + Zcc=Zcc, + Z_0=Z_0, + R=R_cyl, + k=k_cone, + k_cv=k_cv, + cv_min=cv_min - cv_buffer, + cv_max=cv_max + cv_buffer, + box=box, + ) + return jit(funnel_force) diff --git a/pysages/methods/funnel_metad.py b/pysages/methods/funnel_metad.py new file mode 100644 index 00000000..fd3648c6 --- /dev/null +++ b/pysages/methods/funnel_metad.py @@ -0,0 +1,392 @@ +# SPDX-License-Identifier: MIT +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Implementation of Standard and Well-tempered Metadynamics +both with optional support for grids. +""" + +from jax import grad, jit +from jax import numpy as np +from jax import value_and_grad, vmap +from jax.lax import cond + +from pysages.approxfun import compute_mesh +from pysages.colvars import get_periods, wrap +from pysages.grids import build_indexer +from pysages.methods.core import GriddedSamplingMethod, Result, generalize +from pysages.methods.restraints import apply_restraints +from pysages.methods.utils import numpyfy_vals +from pysages.typing import JaxArray, NamedTuple, Optional +from pysages.utils import dispatch, gaussian, identity + + +class FMetadynamicsState(NamedTuple): + """ + Metadynamics helper state + + Parameters + ---------- + + xi: JaxArray + Collective variable value in the last simulation step. + + bias: JaxArray + Array of Metadynamics bias forces for each particle in the simulation. + + heights: JaxArray + Height values for all accumulated Gaussians (zeros for not yet added Gaussians). + + centers: JaxArray + Centers of the accumulated Gaussians. + + sigmas: JaxArray + Widths of the accumulated Gaussians. + + grid_potential: Optional[JaxArray] + Array of Metadynamics bias potentials stored on a grid. + + grid_gradient: Optional[JaxArray] + Array of Metadynamics bias gradients evaluated on a grid. + + idx: int + Index of the next Gaussian to be deposited. + + ncalls: int + Counts the number of times `method.update` has been called. + + perp: JaxArray + Collective variable perpendicular to the Funnel_CV + """ + + xi: JaxArray + bias: JaxArray + heights: JaxArray + centers: JaxArray + sigmas: JaxArray + grid_potential: Optional[JaxArray] + grid_gradient: Optional[JaxArray] + idx: int + ncalls: int + perp: JaxArray + + def __repr__(self): + return repr("PySAGES" + type(self).__name__) + + +class PartialMetadynamicsState(NamedTuple): + """ + Helper intermediate Metadynamics state + """ + + xi: JaxArray + heights: JaxArray + centers: JaxArray + sigmas: JaxArray + grid_potential: Optional[JaxArray] + grid_gradient: Optional[JaxArray] + idx: int + grid_idx: Optional[JaxArray] + + +class Funnel_Metadynamics(GriddedSamplingMethod): + """ + Implementation of Standard and Well-tempered Funnel Metadynamics as described in + [PNAS 110.16, 6358-6363 (2013)](https://doi.org/10.1073/pnas.1303186110). + """ + + snapshot_flags = {"positions", "indices"} + + def __init__(self, cvs, height, sigma, stride, ngaussians, deltaT=None, **kwargs): + """ + Parameters + ---------- + + cvs: + Set of user selected collective variable. + + height: + Initial height of the deposited Gaussians. + + sigma: + Initial standard deviation of the to-be-deposit Gaussians. + + stride: int + Bias potential deposition frequency. + + ngaussians: int + Total number of expected Gaussians (`timesteps // stride + 1`). + + deltaT: Optional[float] = None + Well-tempered Metadynamics :math:`\\Delta T` parameter + (if `None` standard Metadynamics is used). + + grid: Optional[Grid] = None + If provided, it will be used to accelerate the computation by + approximating the bias potential and its gradient over its centers. + + kB: Optional[float] + Boltzmann constant. Must be provided for well-tempered Metadynamics + simulations and should match the internal units of the backend. + + restraints: Optional[CVRestraints] = None + If provided, it will be used to restraint CV space inside the grid. + + external_force: + External restraint to be used for funnel calculations. + """ + + if deltaT is not None and "kB" not in kwargs: + raise KeyError( + "For well-tempered Metadynamics a keyword argument `kB` for " + "the value of the Boltzmann constant (that matches the " + "internal units of the backend) must be provided." + ) + + kwargs["grid"] = kwargs.get("grid", None) + kwargs["restraints"] = kwargs.get("restraints", None) + super().__init__(cvs, **kwargs) + + self.height = height + self.sigma = sigma + self.stride = stride + self.ngaussians = ngaussians # NOTE: infer from timesteps and stride + self.deltaT = deltaT + + self.kB = kwargs.get("kB", None) + + def build(self, snapshot, helpers, *args, **kwargs): + self.external_force = self.kwargs.get("external_force", lambda rs: funnel_force(rs)) + return _metadynamics(self, snapshot, helpers) + + +def _metadynamics(method, snapshot, helpers): + # Initialization and update of biasing forces. Interface expected for methods. + cv = method.cv + stride = method.stride + ngaussians = method.ngaussians + external_force = method.external_force + natoms = np.size(snapshot.positions, 0) + + deposit_gaussian = build_gaussian_accumulator(method) + evaluate_bias_grad = build_bias_grad_evaluator(method) + + def initialize(): + xi, _ = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + perp = 0.0 + # NOTE: for restart; use hills file to initialize corresponding arrays. + heights = np.zeros(ngaussians, dtype=np.float64) + centers = np.zeros((ngaussians, xi.size), dtype=np.float64) + sigmas = np.array(method.sigma, dtype=np.float64, ndmin=2) + + # Arrays to store forces and bias potential on a grid. + if method.grid is None: + grid_potential = grid_gradient = None + else: + shape = method.grid.shape + grid_potential = np.zeros((*shape,), dtype=np.float64) if method.deltaT else None + grid_gradient = np.zeros((*shape, shape.size), dtype=np.float64) + + return FMetadynamicsState( + xi, bias, heights, centers, sigmas, grid_potential, grid_gradient, 0, 0, perp + ) + + def update(state, data): + # Compute the collective variable and its jacobian + xi, Jxi = cv(data) + + # Deposit Gaussian depending on the stride + ncalls = state.ncalls + 1 + in_deposition_step = (ncalls > 1) & (ncalls % stride == 1) + partial_state = deposit_gaussian(xi, state, in_deposition_step) + + # Evaluate gradient of biasing potential (or generalized force) + generalized_force = evaluate_bias_grad(partial_state) + + # Calculate biasing forces + bias = -Jxi.T @ generalized_force.flatten() + eforce, perp = external_force(data) + bias = bias.reshape(state.bias.shape) - eforce.reshape(state.bias.shape) + + return FMetadynamicsState(xi, bias, *partial_state[1:-1], ncalls, perp) + + return snapshot, initialize, generalize(update, helpers, jit_compile=True) + + +def build_gaussian_accumulator(method: Funnel_Metadynamics): + """ + Returns a function that given a `FMetadynamicsState`, and the value of the CV, + stores the next Gaussian that is added to the biasing potential. + """ + periods = get_periods(method.cvs) + height_0 = method.height + deltaT = method.deltaT + grid = method.grid + kB = method.kB + + if deltaT is None: + next_height = jit(lambda *args: height_0) + else: # if well-tempered + if grid is None: + evaluate_potential = jit(lambda pstate: sum_of_gaussians(*pstate[:4], periods)) + else: + evaluate_potential = jit(lambda pstate: pstate.grid_potential[pstate.grid_idx]) + + def next_height(pstate): + V = evaluate_potential(pstate) + return height_0 * np.exp(-V / (deltaT * kB)) + + if grid is None: + get_grid_index = jit(lambda arg: None) + update_grids = jit(lambda *args: (None, None)) + should_deposit = jit(lambda pred, _: pred) + else: + grid_mesh = (compute_mesh(grid) + 1) * (grid.size / 2) + grid.lower + get_grid_index = build_indexer(grid) + # Reshape so the dimensions are compatible + accum = jit(lambda total, val: total + val.reshape(total.shape)) + + if deltaT is None: + transform = grad + pack = jit(lambda x: (x,)) + # No need to accumulate values for the potential (V is None) + update = jit(lambda V, dV, vals: (V, accum(dV, vals))) + else: + transform = value_and_grad + pack = identity + update = jit(lambda V, dV, vals, grads: (accum(V, vals), accum(dV, grads))) + + def update_grids(pstate, height, xi, sigma): + # We use `sum_of_gaussians` since it already takes care of the wrapping + current_gaussian = jit(lambda x: sum_of_gaussians(x, height, xi, sigma, periods)) + # Evaluate gradient of bias (and bias potential for WT version) + grid_values = pack(vmap(transform(current_gaussian))(grid_mesh)) + return update(pstate.grid_potential, pstate.grid_gradient, *grid_values) + + def should_deposit(in_deposition_step, I_xi): + in_bounds = ~(np.any(np.array(I_xi) == grid.shape)) + return in_deposition_step & in_bounds + + def deposit_gaussian(pstate): + xi, idx = pstate.xi, pstate.idx + current_height = next_height(pstate) + heights = pstate.heights.at[idx].set(current_height) + centers = pstate.centers.at[idx].set(xi.flatten()) + sigmas = pstate.sigmas + grid_potential, grid_gradient = update_grids(pstate, current_height, xi, sigmas) + return PartialMetadynamicsState( + xi, heights, centers, sigmas, grid_potential, grid_gradient, idx + 1, pstate.grid_idx + ) + + def _deposit_gaussian(xi, state, in_deposition_step): + I_xi = get_grid_index(xi) + pstate = PartialMetadynamicsState(xi, *state[2:-2], I_xi) + predicate = should_deposit(in_deposition_step, I_xi) + return cond(predicate, deposit_gaussian, identity, pstate) + + return _deposit_gaussian + + +def build_bias_grad_evaluator(method: Funnel_Metadynamics): + """ + Returns a function that given the deposited Gaussians parameters, computes the + gradient of the biasing potential with respect to the CVs. + """ + grid = method.grid + restraints = method.restraints + if grid is None: + periods = get_periods(method.cvs) + evaluate_bias_grad = jit(lambda pstate: grad(sum_of_gaussians)(*pstate[:4], periods)) + else: + if restraints: + + def ob_force(pstate): # out-of-bounds force + lo, hi, kl, kh = restraints + xi, *_ = pstate + xi = pstate.xi.reshape(grid.shape.size) + force = apply_restraints(lo, hi, kl, kh, xi) + return force + + else: + + def ob_force(pstate): # out-of-bounds force + return np.zeros(grid.shape.size) + + def get_force(pstate): + return pstate.grid_gradient[pstate.grid_idx] + + def evaluate_bias_grad(pstate): + ob = np.any(np.array(pstate.grid_idx) == grid.shape) # out of bounds + return cond(ob, ob_force, get_force, pstate) + + return evaluate_bias_grad + + +# Helper function to evaluate bias potential -- may be moved to analysis part +def sum_of_gaussians(xi, heights, centers, sigmas, periods): + """ + Sum of n-dimensional Gaussians potential. + """ + delta_x = wrap(xi - centers, periods) + return gaussian(heights, sigmas, delta_x).sum() + + +@dispatch +def analyze(result: Result[Funnel_Metadynamics]): + """ + Helper for calculating the free energy from the final state of a `Metadynamics` run. + + Parameters + ---------- + + result: Result[Metadynamics]: + Result bundle containing method, final metadynamics state, and callback. + + Returns + ------- + + dict: + A dictionary with the following keys: + + heights: JaxArray + Height of the Gaussian bias potential during the simulation. + + metapotential: Callable + Maps a user-provided array of CV values to the corresponding deposited bias + potential. For standard metadynamics, the free energy along user-provided CV + range is the same as `metapotential(cv)`. + In the case of well-tempered metadynamics, the free energy is equal to + `(T + deltaT) / deltaT * metapotential(cv)`, where `T` is the simulation + temperature and `deltaT` is the user-defined parameter in + well-tempered metadynamics. + """ + method = result.method + states = result.states + + P = get_periods(method.cvs) + + if len(states) == 1: + heights = states[0].heights + centers = states[0].centers + sigmas = states[0].sigmas + + metapotential = jit(vmap(lambda x: sum_of_gaussians(x, heights, centers, sigmas, P))) + + return dict(heights=heights, metapotential=metapotential) + + # For multiple-replicas runs we return a list heights and functions + # (one for each replica) + + def build_metapotential(heights, centers, sigmas): + return jit(vmap(lambda x: sum_of_gaussians(x, heights, centers, sigmas, P))) + + heights = [] + metapotentials = [] + + for s in states: + heights.append(s.heights) + metapotentials.append(build_metapotential(s.heights, s.centers, s.sigmas)) + + ana_result = dict(heights=heights, metapotential=metapotentials) + return numpyfy_vals(ana_result) From 72bcae44b66a6bf66637744e332c3db1d3c0004c Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 14 Feb 2024 01:16:19 -0600 Subject: [PATCH 02/25] Add funnel_cv Add the funnel collective variable --- pysages/colvars/funnels.py | 147 +++++++++++++++++++++++++++++++++++++ 1 file changed, 147 insertions(+) create mode 100644 pysages/colvars/funnels.py diff --git a/pysages/colvars/funnels.py b/pysages/colvars/funnels.py new file mode 100644 index 00000000..a7d17100 --- /dev/null +++ b/pysages/colvars/funnels.py @@ -0,0 +1,147 @@ +#!/usr/bin/env python3 +# Collective variable funnel +import jax.numpy as np +from jax.numpy import linalg + +from pysages.colvars.coordinates import barycenter, weighted_barycenter +from pysages.colvars.core import AxisCV, CollectiveVariable, TwoPointCV + +def fitted_positions(positions, references, weights): + if weights is None: + pos_b = barycenter(positions) + ref_b = barycenter(references) + fit_pos = np.add(positions, -pos_b) + fit_ref = np.add(references, -ref_b) + else: + pos_b = weighted_barycenter(positions, weights) + ref_b = weighted_barycenter(references, weights) + fit_pos = positions * weights - pos_b + fit_ref = references * weights - ref_b + return fit_pos, fit_ref + +def kabsch(P0, Q0, weights): + """ + Using the Kabsch algorithm with two sets of paired point P and Q, centered + around the centroid. Each vector set is represented as an NxD + matrix, where D is the the dimension of the space. + The algorithm works in three steps: + - a centroid translation of P and Q (assumed done before this function + call) + - the computation of a covariance matrix C + - computation of the optimal rotation matrix U + For more info see http://en.wikipedia.org/wiki/Kabsch_algorithm + Parameters + ---------- + P : array + (N,D) matrix, where N is points and D is dimension. + Q : array + (N,D) matrix, where N is points and D is dimension. + Returns + ------- + U : matrix + Rotation matrix (D,D) + """ + P, Q = fitted_positions(P0, Q0, weights) + # Computation of the covariance matrix + C = np.dot(np.transpose(P), Q) + + # Computation of the optimal rotation matrix + # This can be done using singular value decomposition (SVD) + # Getting the sign of the det(V)*(W) to decide + # whether we need to correct our rotation matrix to ensure a + # right-handed coordinate system. + # And finally calculating the optimal rotation matrix U + # see http://en.wikipedia.org/wiki/Kabsch_algorithm + V, S, W = linalg.svd(C, full_matrices=False) + dh = linalg.det(V) * linalg.det(W) + S = S.at[-1].multiply(np.sign(dh)) + V = V.at[:, -1].multiply(np.sign(dh)) + # Create Rotation matrix U + U = np.dot(V, W) + + return U + + +class Projection_on_Axis_mobile(CollectiveVariable): + """ + Use a reference to calculate the RMSD of a set of atoms. + The algorithm is based on https://doi.org/10.1002/jcc.20110. + + Parameters + ---------- + indices: list[int], list[tuple(int)] + Select atom groups via indices. + + references: list[tuple(float)] + Cartesian coordinates of the reference position of the atoms in indices. + The coordinates must match the ones of the atoms used in indices. + weights_lig: list[tuple(float)] + weights of the mobile group of particles + weights_prot: list[tuple(float)] + weights of the reference group of particles + A: list[tuple(float)] + Initial vector of the axis + B: list[tuple(float)] + Final vector of the axis + box: list[tuple(float)] + Box vector of the axis (only works for orthorhombic boxes for now) + """ + + def __init__( + self, + indices, + references, + weights_lig=None, + weights_prot=None, + A=[0, 0, 0], + B=[0, 0, 1], + box=[1.0, 1.0, 1.0], + ): + super().__init__(indices, 3) + self.requires_box_unwrapping = True + self.references = np.asarray(references) + self.weights_lig = np.asarray(weights_lig) if weights_lig else None + self.weights_prot = np.asarray(weights_prot) if weights_prot else None + self.A = np.asarray(A) + self.B = np.asarray(B) + self.box = np.asarray(box) + + @property + def function(self): + return lambda r1, r2, r3: projection_mobile( + r1, + r2, + r3, + self.references, + self.weights_lig, + self.weights_prot, + self.A, + self.B, + self.box, + ) + + +def center(positions, weights): + if weights is None: + return barycenter(positions) + else: + return weighted_barycenter(positions, weights) + + +def periodic(distance, box): + return np.mod(distance + box * 0.5, box) - 0.5 * box + + +def projection_mobile( + ligand, backbone, pos_anchor, references, weights_lig, weights_prot, A, B, box +): + ligand_distances = periodic(ligand - pos_anchor, box) + new_lig_pos = pos_anchor + ligand_distances + com_lig = center(new_lig_pos, weights_lig) + com_prot = center(backbone, weights_prot) + com_ref = center(references, weights_prot) + lig_rot = np.dot(com_lig - com_prot, kabsch(backbone, references, weights_prot)) + com_ref + vector = B - A + norm = linalg.norm(vector) + eje = vector / norm + return np.dot(eje, lig_rot - A) From 9681c97012155af165dd2e843befa117de1800e5 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 14 Feb 2024 01:17:34 -0600 Subject: [PATCH 03/25] Add funnel loggers Add the loggers for the funnel methods --- pysages/methods/__init__.py | 5 +++ pysages/methods/utils.py | 80 +++++++++++++++++++++++++++++++++++++ 2 files changed, 85 insertions(+) diff --git a/pysages/methods/__init__.py b/pysages/methods/__init__.py index dbeeab15..51d74d87 100644 --- a/pysages/methods/__init__.py +++ b/pysages/methods/__init__.py @@ -66,6 +66,9 @@ from .core import SamplingMethod from .ffs import FFS from .funn import FUNN +from .funnel_abf import Funnel_ABF +from .funnel_function import get_funnel_force +from .funnel_metad import Funnel_Metadynamics from .harmonic_bias import HarmonicBias from .metad import Metadynamics from .restraints import CVRestraints @@ -74,6 +77,8 @@ from .umbrella_integration import UmbrellaIntegration from .unbiased import Unbiased from .utils import ( + Funnel_Logger, + Funnel_MetadLogger, HistogramLogger, MetaDLogger, ReplicasConfiguration, diff --git a/pysages/methods/utils.py b/pysages/methods/utils.py index a52894c1..722e0740 100644 --- a/pysages/methods/utils.py +++ b/pysages/methods/utils.py @@ -169,6 +169,86 @@ def __call__(self, snapshot, state, timestep): self.counter += 1 +class Funnel_MetadLogger: + """ + Logs the state of the funnel_cv the perpendicular cv and other parameters in Funnel_Metadynamics. + Parameters + ---------- + hills_file: + Name of the output hills log file. + log_period: + Time steps between logging of collective variables and Metadynamics parameters. + """ + + def __init__(self, hills_file, log_period): + """ + Funnel_MetaDLogger constructor. + """ + self.hills_file = hills_file + self.log_period = log_period + self.counter = 0 + + def save_hills(self, xi, sigma, height, perp): + """ + Append the centers, sigmas, heights, and perp_cv to log file. + """ + with open(self.hills_file, "a+", encoding="utf8") as f: + f.write(str(self.counter) + "\t") + f.write("\t".join(map(str, xi.flatten())) + "\t") + f.write("\t".join(map(str, sigma.flatten())) + "\t") + f.write(str(height) + "\t") + f.write(str(perp) + "\n") + + def __call__(self, snapshot, state, timestep): + """ + Implements the logging itself. Interface as expected for Callbacks. + """ + if self.counter >= self.log_period and self.counter % self.log_period == 0: + idx = state.idx - 1 if state.idx > 0 else 0 + self.save_hills(state.centers[idx], state.sigmas, state.heights[idx], state.perp) + + self.counter += 1 + + +class Funnel_Logger: + """ + Logs the state of the collective variable and other parameters in Funnel. + Parameters + ---------- + funnel_file: + Name of the output funnel log file. + log_period: + Time steps between logging of collective variables and Funnel parameters. + """ + + def __init__(self, funnel_file, log_period): + """ + Funnel_Logger constructor. + """ + self.funnel_file = funnel_file + self.log_period = log_period + self.counter = 0 + + def save_work(self, xi, proj, restr): + """ + Append the funnel_cv, perp_funnel, and funnel_restraints to log file. + """ + with open(self.funnel_file, "a+", encoding="utf8") as f: + f.write(str(self.counter) + "\t") + f.write("\t".join(map(str, xi.flatten())) + "\t") + f.write("\t".join(map(str, restr.flatten())) + "\t") + f.write(str(proj) + "\n") + + def __call__(self, snapshot, state, timestep): + """ + Implements the logging itself. Interface as expected for Callbacks. + """ + if self.counter >= self.log_period and self.counter % self.log_period == 0: + self.save_work(state.xi, state.proj, state.restr) + + self.counter += 1 + + def listify(arg, replicas, name, dtype): """ Returns a list of with length `replicas` of `arg` if `arg` is not a list, From ad11e68c350bf25878a762ab377b8ad9f2823090 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 14 Feb 2024 01:18:36 -0600 Subject: [PATCH 04/25] add funnel in init add funnel_cv in the list of collective variables --- pysages/colvars/__init__.py | 1 + 1 file changed, 1 insertion(+) diff --git a/pysages/colvars/__init__.py b/pysages/colvars/__init__.py index 0ccbf330..70c4cc20 100644 --- a/pysages/colvars/__init__.py +++ b/pysages/colvars/__init__.py @@ -12,6 +12,7 @@ from .angles import Angle, DihedralAngle from .coordinates import Component, Displacement, Distance +from .funnels import Projection_on_Axis_mobile from .shape import ( Acylindricity, Asphericity, From 40d228dad5d3627e8f1ca8f2f1b2ba5654def44b Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 14 Feb 2024 01:23:40 -0600 Subject: [PATCH 05/25] Add examples Add funnel examples --- .../openmm/funnel_abf/complex-wat-prod.rst | Bin 0 -> 794744 bytes examples/openmm/funnel_abf/complex-wat.prmtop | 33349 ++++++++++++++++ examples/openmm/funnel_abf/referencesh.pdb | 144 + examples/openmm/funnel_abf/run.py | 232 + .../openmm/funnel_metad/complex-wat-prod.rst | Bin 0 -> 794744 bytes .../openmm/funnel_metad/complex-wat.prmtop | 33349 ++++++++++++++++ examples/openmm/funnel_metad/referencesh.pdb | 144 + examples/openmm/funnel_metad/run_metad.py | 207 + 8 files changed, 67425 insertions(+) create mode 100644 examples/openmm/funnel_abf/complex-wat-prod.rst create mode 100644 examples/openmm/funnel_abf/complex-wat.prmtop create mode 100644 examples/openmm/funnel_abf/referencesh.pdb create mode 100644 examples/openmm/funnel_abf/run.py create mode 100644 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z!}uTZhx}aI%wTz&femVAeScWZxPOmS%dtucW5=ey^=!9W8scY>V^b+tf1+Xx%S2i-+Jeoii>zb&y}igukD?&@{nXOo!B@e8{VlA zS@R^^C$?)cF)f(YF0@=ap-TANN$P2W(NGZ;_B(x|8WtbFWDc;^#!*?WTPKexV6Tp; zg8FnUhDC3r7l&~|0l&GU0*xZ(-ZzbF7$QFXD2_}eM-`meKg2A;&Wt0-rM7C3i#H~J zi^{UBLMD~o4yWBi==odr^CnxSj;k*HrAn#QXG@=KincKrRa9l a;zUV-lp Date: Fri, 23 Feb 2024 14:49:30 -0600 Subject: [PATCH 06/25] Add files via upload --- pysages/colvars/funnels.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/pysages/colvars/funnels.py b/pysages/colvars/funnels.py index a7d17100..2d2313d4 100644 --- a/pysages/colvars/funnels.py +++ b/pysages/colvars/funnels.py @@ -4,7 +4,8 @@ from jax.numpy import linalg from pysages.colvars.coordinates import barycenter, weighted_barycenter -from pysages.colvars.core import AxisCV, CollectiveVariable, TwoPointCV +from pysages.colvars.core import CollectiveVariable + def fitted_positions(positions, references, weights): if weights is None: @@ -19,6 +20,7 @@ def fitted_positions(positions, references, weights): fit_ref = references * weights - ref_b return fit_pos, fit_ref + def kabsch(P0, Q0, weights): """ Using the Kabsch algorithm with two sets of paired point P and Q, centered From 71c34b6739fb1cd40019954891271762b58b2990 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Fri, 23 Feb 2024 14:50:22 -0600 Subject: [PATCH 07/25] Add files via upload --- pysages/methods/funnel_abf.py | 30 +++++++++++++++++------------- pysages/methods/funnel_function.py | 6 +++--- pysages/methods/funnel_metad.py | 3 ++- 3 files changed, 22 insertions(+), 17 deletions(-) diff --git a/pysages/methods/funnel_abf.py b/pysages/methods/funnel_abf.py index 739b9573..46e0b332 100644 --- a/pysages/methods/funnel_abf.py +++ b/pysages/methods/funnel_abf.py @@ -6,12 +6,14 @@ Funnel_ABF partitions the collective variable space into bins determined by a user provided grid, and keeps a tabulation of the number of visits to each bin as well as the sum of generalized forces experienced by the system at each -configuration bin in the presence of a restraining potential. These provide an estimate for the mean -generalized force removing the effect of the restraint potential on the CV, which can be integrated +configuration bin in the presence of a restraining potential. These provide an estimate for the mean +generalized force removing the effect of the restraint potential on the CV, which can be integrated to yield the free energy. -The implementation of the adaptive biasing force method here closely follows -Kulhánek, P.; Bouchal, T.; Durník, I.; Štěpán, J.; Fuxreiter, M.; Mones, L.; Petřek, M.; Střelcová, Z. PMFLib - A Toolkit for Free Energy Calculations; https://pmflib.ncbr.muni.cz, 2018. +The implementation of the adaptive biasing force method here closely follows +Kulhánek, P.; Bouchal, T.; Durník, I.; Štěpán, J.; +Fuxreiter, M.; Mones, L.; Petřek, M.; Střelcová, Z. +PMFLib - A Toolkit for Free Energy Calculations; https://pmflib.ncbr.muni.cz, 2018. """ from functools import partial @@ -20,14 +22,14 @@ from jax import jit from jax import numpy as np from jax import vmap -from jax.numpy import linalg from jax.lax import cond -from jax.scipy import linalg as lg +from jax.numpy import linalg from pysages.approxfun.core import compute_mesh from pysages.approxfun.core import scale as _scale from pysages.grids import build_indexer -from pysages.methods.analysis import GradientLearning, _analyze + +# from pysages.methods.analysis import GradientLearning, _analyze from pysages.methods.core import GriddedSamplingMethod, Result, generalize from pysages.methods.restraints import apply_restraints from pysages.methods.utils import numpyfy_vals @@ -37,7 +39,9 @@ from pysages.ml.training import NNData, build_fitting_function, convolve, normalize from pysages.ml.utils import blackman_kernel, pack, unpack from pysages.typing import JaxArray, NamedTuple -from pysages.utils import dispatch, solve_pos_def +from pysages.utils import dispatch + +# from jax.scipy import linalg as lg class FABFState(NamedTuple): @@ -141,7 +145,7 @@ def build(self, snapshot, helpers, *args, **kwargs): Tuple `(snapshot, initialize, update)` to run ABF simulations. """ - self.ext_force = self.kwargs.get("ext_force", lambda rs: funnel_force(rs)) + self.ext_force = self.kwargs.get("ext_force", None) return _abf(self, snapshot, helpers) @@ -330,11 +334,11 @@ def analyze(result: Result[Funnel_ABF], **kwargs): by the grid. fes_corr: Callable[[JaxArray], JaxArray] - Function that allows to interpolate the free energy without restraints in the CV domain defined - by the grid. + Function that allows to interpolate the free energy without restraints in the + CV domain defined by the grid. fes_rst: Callable[[JaxArray], JaxArray] - Function that allows to interpolate the free energy of the restraint in the CV domain defined - by the grid. + Function that allows to interpolate the free energy of the restraint in the + CV domain defined by the grid. """ topology = kwargs.get("topology", (4, 4)) method = result.method diff --git a/pysages/methods/funnel_function.py b/pysages/methods/funnel_function.py index 6eadd03e..8bb0619b 100644 --- a/pysages/methods/funnel_function.py +++ b/pysages/methods/funnel_function.py @@ -5,7 +5,7 @@ from jax import grad, jit from jax.numpy import linalg -from pysages.colvars.funnels import center, periodic, kabsch +from pysages.colvars.funnels import center, kabsch, periodic def y_function(x, Z_0, Zcc, R): @@ -52,7 +52,7 @@ def funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): B_r = B norm_eje = linalg.norm(B_r - A_r) eje = (B_r - A_r) / norm_eje - Z_pos = Zcc * eje + # Z_pos = Zcc * eje x_fit = x - A_r proj = np.dot(x_fit, eje) return np.where( @@ -67,7 +67,7 @@ def proj_funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): B_r = B norm_eje = linalg.norm(B_r - A_r) eje = (B_r - A_r) / norm_eje - Z_pos = Zcc * eje + # Z_pos = Zcc * eje x_fit = x - A_r proj = np.dot(x_fit, eje) perp = x_fit - proj * eje diff --git a/pysages/methods/funnel_metad.py b/pysages/methods/funnel_metad.py index fd3648c6..37887039 100644 --- a/pysages/methods/funnel_metad.py +++ b/pysages/methods/funnel_metad.py @@ -156,7 +156,8 @@ def __init__(self, cvs, height, sigma, stride, ngaussians, deltaT=None, **kwargs self.kB = kwargs.get("kB", None) def build(self, snapshot, helpers, *args, **kwargs): - self.external_force = self.kwargs.get("external_force", lambda rs: funnel_force(rs)) + # self.external_force=self.kwargs.get("external_force",lambda rs:funnel_force(rs)) + self.external_force = self.kwargs.get("external_force", None) return _metadynamics(self, snapshot, helpers) From 29fcfd05b439d5ed0ab7f1e4f58151e256fc1164 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Fri, 23 Feb 2024 14:50:52 -0600 Subject: [PATCH 08/25] Add files via upload --- examples/openmm/funnel_abf/run.py | 99 +++++++++++-------------------- 1 file changed, 36 insertions(+), 63 deletions(-) diff --git a/examples/openmm/funnel_abf/run.py b/examples/openmm/funnel_abf/run.py index 3b4b678f..4273723f 100644 --- a/examples/openmm/funnel_abf/run.py +++ b/examples/openmm/funnel_abf/run.py @@ -1,6 +1,12 @@ #!/usr/bin/env python3 +import dill as pickle +import matplotlib.pyplot as plt +import numpy as np +from parmed import load_file +from parmed.openmm import StateDataReporter +import pysages from pysages.backends import SamplingContext from pysages.colvars import Projection_on_Axis_mobile @@ -8,78 +14,46 @@ from pysages.methods import CVRestraints, Funnel_ABF, Funnel_Logger, get_funnel_force from pysages.utils import try_import -# from pysages.methods import Metadynamics # %% -# from IPython import get_ipython openmm = try_import("openmm", "simtk.openmm") unit = try_import("openmm.unit", "simtk.unit") app = try_import("openmm.app", "simtk.openmm.app") -import math - -import dill as pickle -import jax.numpy as np - -# import numpy as np -import matplotlib.pyplot as plt -import numpy -from openmm import * - -# from openmm.app import * -from openmm.unit import * - -# ParmEd Imports -# ParmEd Imports -from parmed import load_file -from parmed import unit as u -from parmed.openmm import NetCDFReporter, StateDataReporter - -import pysages - -# %% - -# %% - # %% -pi = numpy.pi -kB = 0.008314462618 +pi = np.pi +kB = 0.008314462618 # kJ/mol # %% -def generate_simulation(T=298.15 * kelvin, dt=1.0 * femtoseconds): +def generate_simulation(T=298.15 * unit.kelvin, dt=1.0 * unit.femtoseconds): print("Loading AMBER files...") ala2_solv = load_file("complex-wat.prmtop", "complex-wat-prod.rst") - pdb = app.PDBFile("last.pdb") system = ala2_solv.createSystem( nonbondedMethod=app.PME, rigidWater=True, - switchDistance=1.0 * nanometer, - nonbondedCutoff=1.2 * nanometer, + switchDistance=1.0 * unit.nanometer, + nonbondedCutoff=1.2 * unit.nanometer, constraints=app.HBonds, ) # Create the integrator to do Langevin dynamics integrator = openmm.LangevinIntegrator( - 300 * kelvin, # Temperature of heat bath - 1.0 / picoseconds, # Friction coefficient - 1.0 * femtoseconds, # Time step + 300 * unit.kelvin, # Temperature of heat bath + 1.0 / unit.picoseconds, # Friction coefficient + 1.0 * unit.femtoseconds, # Time step ) # Define the platform to use; CUDA, OpenCL, CPU, or Reference. Or do not specify - platform = Platform.getPlatformByName("CPU") + platform = openmm.Platform.getPlatformByName("CPU") # Create the Simulation object sim = app.Simulation(ala2_solv.topology, system, integrator, platform) # Set the particle positions - # sim.context.setPositions(ala2_solv.positions) - sim.context.setPositions(pdb.getPositions(frame=-1)) + sim.context.setPositions(ala2_solv.positions) sim.reporters.append(app.PDBReporter("output.pdb", 200000)) sim.reporters.append(app.DCDReporter("output.dcd", 200000)) sim.reporters.append(StateDataReporter("data.txt", 20000, step=True, separator=" ")) - # Minimize the energy - # print('Minimizing energy') - # sim.minimizeEnergy() return sim @@ -91,8 +65,8 @@ def plot_energy(result): ax.set_xlabel("CV") ax.set_ylabel("Free energy $[\\epsilon]$") - free_energy = numpy.asarray(result["free_energy"]) - x = numpy.asarray(result["mesh"]) + free_energy = np.asarray(result["free_energy"]) + x = np.asarray(result["mesh"]) ax.plot(x, free_energy, color="teal") fig.savefig("energy.png") @@ -104,8 +78,8 @@ def plot_forces(result): ax.set_xlabel("CV") ax.set_ylabel("Forces $[\\epsilon]$") - forces = numpy.asarray(result["mean_force"]) - x = numpy.asarray(result["mesh"]) + forces = np.asarray(result["mean_force"]) + x = np.asarray(result["mesh"]) ax.plot(x, forces, color="teal") fig.savefig("forces.png") @@ -117,21 +91,21 @@ def plot_histogram(result): ax.set_xlabel("CV") ax.set_ylabel("Histogram $[\\epsilon]$") - hist = numpy.asarray(result["histogram"]) - x = numpy.asarray(result["mesh"]) + hist = np.asarray(result["histogram"]) + x = np.asarray(result["mesh"]) ax.plot(x, hist, color="teal") fig.savefig("histogram2.png") def save_energy_forces(result): - Energy = numpy.asarray(result["free_energy"]) - Forces = numpy.asarray(result["mean_force"]) - Grid = numpy.asarray(result["mesh"]) - hist = numpy.asarray(result["histogram"]) - numpy.savetxt("FES.csv", numpy.column_stack([Grid, Energy])) - numpy.savetxt("Forces.csv", numpy.column_stack([Grid, Forces])) - numpy.savetxt("Histogram.csv", numpy.column_stack([Grid, hist])) + Energy = np.asarray(result["free_energy"]) + Forces = np.asarray(result["mean_force"]) + Grid = np.asarray(result["mesh"]) + hist = np.asarray(result["histogram"]) + np.savetxt("FES.csv", np.column_stack([Grid, Energy])) + np.savetxt("Forces.csv", np.column_stack([Grid, Forces])) + np.savetxt("Histogram.csv", np.column_stack([Grid, hist])) # numpy.savetxt("Forces.csv", numpy.column_stack([Grid, Forces])) @@ -212,14 +186,13 @@ def save_energy_forces(result): funnel_file = "funnel.dat" callback = Funnel_Logger(funnel_file, 10) sampling_context = SamplingContext(methodo, generate_simulation, callback) -# la linea de abajo se comenta para cuando se carga el pickle -# state = pysages.run(sampling_context, timesteps) -# estas lineas se descomentan para usar el pickle para continuar la simulacion -with open("restart1.pickle", "rb") as f: - state = pickle.load(f) -state = pysages.run(state, generate_simulation, timesteps) -# se le puede cambiar e nombre del restart para no sobreescribirlo -with open("restart2.pickle", "wb") as f: +state = pysages.run(sampling_context, timesteps) +# for restart simulation +# with open("restart1.pickle", "rb") as f: +# state = pickle.load(f) +# state = pysages.run(state, generate_simulation, timesteps) +# save pickle file +with open("restart1.pickle", "wb") as f: pickle.dump(state, f) topology = (8, 8) result = pysages.analyze(state, topology=topology) From db1f0368e5f4cb5cdb9077bb60752d1bffd5fbff Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Fri, 23 Feb 2024 14:51:16 -0600 Subject: [PATCH 09/25] Add files via upload --- examples/openmm/funnel_metad/run_metad.py | 78 ++++++++--------------- 1 file changed, 26 insertions(+), 52 deletions(-) diff --git a/examples/openmm/funnel_metad/run_metad.py b/examples/openmm/funnel_metad/run_metad.py index fca1fb0a..fc0e47c9 100644 --- a/examples/openmm/funnel_metad/run_metad.py +++ b/examples/openmm/funnel_metad/run_metad.py @@ -1,82 +1,60 @@ #!/usr/bin/env python3 +import dill as pickle +import matplotlib.pyplot as plt +import numpy as np +from parmed import load_file +from parmed.openmm import StateDataReporter +import pysages from pysages.approxfun import compute_mesh from pysages.backends import SamplingContext from pysages.colvars import Projection_on_Axis_mobile # %% -from pysages.methods import ( - CVRestraints, - Funnel_MetadLogger, - Funnel_Metadynamics, - get_funnel_force, -) +from pysages.methods import Funnel_MetadLogger, Funnel_Metadynamics, get_funnel_force from pysages.utils import try_import # %% -# from IPython import get_ipython openmm = try_import("openmm", "simtk.openmm") unit = try_import("openmm.unit", "simtk.unit") app = try_import("openmm.app", "simtk.openmm.app") -import math - -import dill as pickle -import jax.numpy as np - -# import numpy as np -import matplotlib.pyplot as plt -import numpy -from openmm import * -from openmm.unit import * - -# ParmEd Imports -from parmed import load_file -from parmed import unit as u -from parmed.openmm import NetCDFReporter, StateDataReporter - -import pysages # %% -pi = numpy.pi -kB = 0.008314462618 +pi = np.pi +kB = 0.008314462618 # kJ/mol # %% -def generate_simulation(T=298.15 * kelvin, dt=1.0 * femtoseconds): +def generate_simulation(T=298.15 * unit.kelvin, dt=1.0 * unit.femtoseconds): print("Loading AMBER files...") ala2_solv = load_file("complex-wat.prmtop", "complex-wat-prod.rst") - pdb = app.PDBFile("last.pdb") + # pdb = app.PDBFile("last.pdb") system = ala2_solv.createSystem( nonbondedMethod=app.PME, rigidWater=True, - switchDistance=1.0 * nanometer, - nonbondedCutoff=1.2 * nanometer, + switchDistance=1.0 * unit.nanometer, + nonbondedCutoff=1.2 * unit.nanometer, constraints=app.HBonds, ) # Create the integrator to do Langevin dynamics integrator = openmm.LangevinIntegrator( - 300 * kelvin, # Temperature of heat bath - 1.0 / picoseconds, # Friction coefficient - 1.0 * femtoseconds, # Time step + 300 * unit.kelvin, # Temperature of heat bath + 1.0 / unit.picoseconds, # Friction coefficient + 1.0 * unit.femtoseconds, # Time step ) # Define the platform to use; CUDA, OpenCL, CPU, or Reference. Or do not specify - platform = Platform.getPlatformByName("CPU") + platform = openmm.Platform.getPlatformByName("CPU") # Create the Simulation object sim = app.Simulation(ala2_solv.topology, system, integrator, platform) # Set the particle positions - # sim.context.setPositions(ala2_solv.positions) - sim.context.setPositions(pdb.getPositions(frame=-1)) + sim.context.setPositions(ala2_solv.positions) sim.reporters.append(app.PDBReporter("output.pdb", 200000)) sim.reporters.append(app.DCDReporter("output.dcd", 200000)) sim.reporters.append(StateDataReporter("data.txt", 20000, step=True, separator=" ")) - - # Minimize the energy - # print('Minimizing energy') - # sim.minimizeEnergy() return sim @@ -109,7 +87,7 @@ def save_energy_forces(result, plot_grid): alpha = -(5.3 / (5.0)) A = energy(mesh) * alpha surface = (A - A.min()).reshape(plot_grid.shape) - numpy.savetxt("FES.csv", numpy.column_stack([mesh, surface])) + np.savetxt("FES.csv", np.column_stack([mesh, surface])) # %% @@ -123,7 +101,6 @@ def save_energy_forces(result, plot_grid): indices_sys = [ligand, host, [anchor]] A = [4.6879, 4.8335, 1.12045] B = [4.7829, 5.7927, 2.8729] -# anchor = 89 box = [5.5822, 5.5095, 5.4335] Z_0 = 0.610225 Zcc = 1.2 @@ -147,13 +124,10 @@ def save_energy_forces(result, plot_grid): temp_pos.append(float(p) / 10.0) ref_loop1.append(temp_pos) coordinates.close() -# print(ref_loop1) # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -# print(indices_sys) cvs = ( Projection_on_Axis_mobile( indices_sys, @@ -166,9 +140,6 @@ def save_energy_forces(result, plot_grid): ), ) -grid = pysages.Grid(lower=(cv_min,), upper=(cv_max,), shape=(32,), periodic=False) - -restraints = CVRestraints(lower=(-0.2,), upper=(2.0,), kl=(10000.0,), ku=(10000.0,)) # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% funnel_force = get_funnel_force( @@ -190,16 +161,19 @@ def save_energy_forces(result, plot_grid): funnel_file = "funnel.dat" callback = Funnel_MetadLogger(funnel_file, 10) sampling_context = SamplingContext(methodo, generate_simulation, callback) -# la linea de abajo se comenta para cuando se carga el pickle state = pysages.run(sampling_context, timesteps) -# estas lineas se descomentan para usar el pickle para continuar la simulacion +# restart from pickle file + # with open("restartb.pickle", "rb") as f: -# state = pickle.load(f) +# state = pickle.load(f) # state = pysages.run(state, generate_simulation, timesteps) -# se le puede cambiar e nombre del restart para no sobreescribirlo + +# save pickle with open("restartb.pickle", "wb") as f: pickle.dump(state, f) result = pysages.analyze(state) +# for plotting +grid = pysages.Grid(lower=(cv_min,), upper=(cv_max,), shape=(32,), periodic=False) plot_energy(result, grid) save_energy_forces(result, grid) From 926d7c44e0048ec49472b145e17b8f59a7228283 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Fri, 23 Feb 2024 14:53:01 -0600 Subject: [PATCH 10/25] Add files via upload --- pysages/methods/utils.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pysages/methods/utils.py b/pysages/methods/utils.py index 722e0740..41697a96 100644 --- a/pysages/methods/utils.py +++ b/pysages/methods/utils.py @@ -171,7 +171,7 @@ def __call__(self, snapshot, state, timestep): class Funnel_MetadLogger: """ - Logs the state of the funnel_cv the perpendicular cv and other parameters in Funnel_Metadynamics. + Logs the state of the funnel_cv and other parameters in Funnel_Metadynamics. Parameters ---------- hills_file: From a8b859e4cf2775317b2cd54fe6ffb729483356a8 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Thu, 14 Mar 2024 14:46:42 -0500 Subject: [PATCH 11/25] Update run.py Activate cv restraints --- examples/openmm/funnel_abf/run.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/openmm/funnel_abf/run.py b/examples/openmm/funnel_abf/run.py index 4273723f..715fa82d 100644 --- a/examples/openmm/funnel_abf/run.py +++ b/examples/openmm/funnel_abf/run.py @@ -182,7 +182,7 @@ def save_energy_forces(result): # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% # %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -methodo = Funnel_ABF(cvs, grid=grid, N=1000, ext_force=funnel_force) +methodo = Funnel_ABF(cvs, grid=grid, N=1000, ext_force=funnel_force, restraints=restraints) funnel_file = "funnel.dat" callback = Funnel_Logger(funnel_file, 10) sampling_context = SamplingContext(methodo, generate_simulation, callback) From 7c7f52f4cebb03b93741ce9ce6b8b49ed68c61e4 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Thu, 14 Mar 2024 14:48:40 -0500 Subject: [PATCH 12/25] Update funnel_function.py Make restrains functional on every range of cv_max --- pysages/methods/funnel_function.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/pysages/methods/funnel_function.py b/pysages/methods/funnel_function.py index 8bb0619b..0c523f88 100644 --- a/pysages/methods/funnel_function.py +++ b/pysages/methods/funnel_function.py @@ -57,8 +57,8 @@ def funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): proj = np.dot(x_fit, eje) return np.where( proj < Zcc, - cone(x_fit, eje, Zcc, Z_0, R, k) + borderL(x_fit, eje, k_cv, cv_min), - cylinder(x_fit, eje, R, k) + borderU(x_fit, eje, k_cv, cv_max), + cone(x_fit, eje, Zcc, Z_0, R, k) + borderL(x_fit, eje, k_cv, cv_min) + borderU(x_fit, eje, k_cv, cv_max), + cylinder(x_fit, eje, R, k) + borderU(x_fit, eje, k_cv, cv_max) + borderL(x_fit, eje, k_cv, cv_max), ) From 1a974c71f11bd019c93796b7fd3665b63a78745c Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 20 Aug 2024 20:47:29 -0500 Subject: [PATCH 13/25] Add files via upload Add perpendicular projection as CV --- pysages/colvars/funnels.py | 77 +++++++++++++++++++++++++++++++++++++- 1 file changed, 76 insertions(+), 1 deletion(-) diff --git a/pysages/colvars/funnels.py b/pysages/colvars/funnels.py index 2d2313d4..f40744fe 100644 --- a/pysages/colvars/funnels.py +++ b/pysages/colvars/funnels.py @@ -66,7 +66,7 @@ def kabsch(P0, Q0, weights): class Projection_on_Axis_mobile(CollectiveVariable): """ - Use a reference to calculate the RMSD of a set of atoms. + Use a reference to calculate the projection on an axis of a set of atoms. The algorithm is based on https://doi.org/10.1002/jcc.20110. Parameters @@ -147,3 +147,78 @@ def projection_mobile( norm = linalg.norm(vector) eje = vector / norm return np.dot(eje, lig_rot - A) + + +class Perp_projection_on_Axis_mobile(CollectiveVariable): + """ + Use a reference to calculate the perpendicular projection on an axis of a set of atoms. + The algorithm is based on https://doi.org/10.1002/jcc.20110. + + Parameters + ---------- + indices: list[int], list[tuple(int)] + Select atom groups via indices. + + references: list[tuple(float)] + Cartesian coordinates of the reference position of the atoms in indices. + The coordinates must match the ones of the atoms used in indices. + weights_lig: list[tuple(float)] + weights of the mobile group of particles + weights_prot: list[tuple(float)] + weights of the reference group of particles + A: list[tuple(float)] + Initial vector of the axis + B: list[tuple(float)] + Final vector of the axis + box: list[tuple(float)] + Box vector of the axis (only works for orthorhombic boxes for now) + """ + + def __init__( + self, + indices, + references, + weights_lig=None, + weights_prot=None, + A=[0, 0, 0], + B=[0, 0, 1], + box=[1.0, 1.0, 1.0], + ): + super().__init__(indices, 3) + self.requires_box_unwrapping = True + self.references = np.asarray(references) + self.weights_lig = np.asarray(weights_lig) if weights_lig else None + self.weights_prot = np.asarray(weights_prot) if weights_prot else None + self.A = np.asarray(A) + self.B = np.asarray(B) + self.box = np.asarray(box) + + @property + def function(self): + return lambda r1, r2, r3: perp_projection_mobile( + r1, + r2, + r3, + self.references, + self.weights_lig, + self.weights_prot, + self.A, + self.B, + self.box, + ) + + +def perp_projection_mobile( + ligand, backbone, pos_anchor, references, weights_lig, weights_prot, A, B, box +): + ligand_distances = periodic(ligand - pos_anchor, box) + new_lig_pos = pos_anchor + ligand_distances + com_lig = center(new_lig_pos, weights_lig) + com_prot = center(backbone, weights_prot) + com_ref = center(references, weights_prot) + lig_rot = np.dot(com_lig - com_prot, kabsch(backbone, references, weights_prot)) + com_ref + vector = B - A + norm = linalg.norm(vector) + eje = vector / norm + perp = (lig_rot - A) - np.dot(eje, lig_rot - A) * eje + return linalg.norm(perp) From cbaddeca5dbe87edf36be3756ccf2bd88598014c Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 20 Aug 2024 20:49:04 -0500 Subject: [PATCH 14/25] Add files via upload Reduce number of functions in funnel function --- pysages/methods/funnel_function.py | 112 +++++++++++++---------------- 1 file changed, 50 insertions(+), 62 deletions(-) diff --git a/pysages/methods/funnel_function.py b/pysages/methods/funnel_function.py index 0c523f88..d3593691 100644 --- a/pysages/methods/funnel_function.py +++ b/pysages/methods/funnel_function.py @@ -3,9 +3,8 @@ import jax.numpy as np from jax import grad, jit -from jax.numpy import linalg -from pysages.colvars.funnels import center, kabsch, periodic +from pysages.colvars.funnels import perp_projection_mobile, projection_mobile def y_function(x, Z_0, Zcc, R): @@ -13,67 +12,36 @@ def y_function(x, Z_0, Zcc, R): return m * x + Z_0 -def cone(x, eje, Zcc, Z_0, R, k): - x_coord = np.dot(x, eje) - proj = x_coord * eje - x_perp = x - proj - F = linalg.norm(x_perp) - y_function(x_coord, Z_0, Zcc, R) +def cone(x, x_p, Zcc, Z_0, R, k): + F = x_p - y_function(x, Z_0, Zcc, R) return np.where(F < 0.0, 0.0, 0.5 * k * F * F) -def cylinder(x, eje, R, k): - x_perp = x - np.dot(x, eje) * eje - F = linalg.norm(x_perp) - R +def cylinder(x, R, k): + F = x - R return np.where(F < 0.0, 0.0, 0.5 * k * F * F) -def borderU(x, eje, k, cv_max): - # x = lig_com-A - proj_restr = np.dot(x, eje) - B = proj_restr - cv_max # upper limit +def borderU(x, k, cv_max): + B = x - cv_max # upper limit return np.where(B < 0.0, 0.0, 0.5 * k * B * B) -def borderL(x, eje, k, cv_min): - # x = lig_com-A - proj = np.dot(x, eje) - B = proj - cv_min # lower limit +def borderL(x, k, cv_min): + B = x - cv_min # lower limit return np.where(B > 0.0, 0.0, 0.5 * k * B * B) -def rotation_lig(pos_lig, pos_ref, references, weights, com_ref): - com_prot = center(pos_ref, weights) - lig_rot = np.dot(pos_lig - com_prot, kabsch(pos_ref, references, weights)) - return lig_rot + com_ref - - -def funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): - A_r = A - B_r = B - norm_eje = linalg.norm(B_r - A_r) - eje = (B_r - A_r) / norm_eje - # Z_pos = Zcc * eje - x_fit = x - A_r - proj = np.dot(x_fit, eje) +def funnel(xi_par, xi_perp, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): return np.where( - proj < Zcc, - cone(x_fit, eje, Zcc, Z_0, R, k) + borderL(x_fit, eje, k_cv, cv_min) + borderU(x_fit, eje, k_cv, cv_max), - cylinder(x_fit, eje, R, k) + borderU(x_fit, eje, k_cv, cv_max) + borderL(x_fit, eje, k_cv, cv_max), + xi_par < Zcc, + cone(xi_par, xi_perp, Zcc, Z_0, R, k) + + borderL(xi_par, k_cv, cv_min) + + borderU(xi_par, k_cv, cv_max), + cylinder(xi_perp, R, k) + borderU(xi_par, k_cv, cv_max) + borderL(xi_par, k_cv, cv_max), ) -def proj_funnel(x, A, B, Zcc, Z_0, R, k, k_cv, cv_min, cv_max): - A_r = A - B_r = B - norm_eje = linalg.norm(B_r - A_r) - eje = (B_r - A_r) / norm_eje - # Z_pos = Zcc * eje - x_fit = x - A_r - proj = np.dot(x_fit, eje) - perp = x_fit - proj * eje - return linalg.norm(perp) - - def intermediate_funnel( pos, ids, @@ -97,14 +65,30 @@ def intermediate_funnel( indices_anchor = np.array(indexes[2]) pos_anchor = pos[ids[indices_anchor]] pos_protein = pos[ids[indices_protein]] - ligand_distances = periodic(pos[ids[indices_ligand]] - pos_anchor, np.asarray(box)) - new_lig_pos = pos_anchor + ligand_distances - pos_ligand = center(new_lig_pos, weights_ligand) - pos_ref = center(np.asarray(references), weights_protein) - lig_rot = rotation_lig( - pos_ligand, pos_protein, np.asarray(references), weights_protein, pos_ref + pos_ligand = pos[ids[indices_ligand]] + xi_par = projection_mobile( + pos_ligand, + pos_protein, + pos_anchor, + np.asarray(references), + weights_ligand, + weights_protein, + np.asarray(A), + np.asarray(B), + np.asarray(box), ) - return funnel(lig_rot, np.asarray(A), np.asarray(B), Zcc, Z_0, R, k, k_cv, cv_min, cv_max) + xi_perp = perp_projection_mobile( + pos_ligand, + pos_protein, + pos_anchor, + np.asarray(references), + weights_ligand, + weights_protein, + np.asarray(A), + np.asarray(B), + np.asarray(box), + ) + return funnel(xi_par, xi_perp, Zcc, Z_0, R, k, k_cv, cv_min, cv_max) def log_funnel( @@ -130,14 +114,19 @@ def log_funnel( indices_anchor = np.array(indexes[2]) pos_anchor = pos[ids[indices_anchor]] pos_protein = pos[ids[indices_protein]] - ligand_distances = periodic(pos[ids[indices_ligand]] - pos_anchor, np.asarray(box)) - new_lig_pos = pos_anchor + ligand_distances - pos_ligand = center(new_lig_pos, weights_ligand) - pos_ref = center(np.asarray(references), weights_protein) - lig_rot = rotation_lig( - pos_ligand, pos_protein, np.asarray(references), weights_protein, pos_ref + pos_ligand = pos[ids[indices_ligand]] + xi_perp = perp_projection_mobile( + pos_ligand, + pos_protein, + pos_anchor, + np.asarray(references), + weights_ligand, + weights_protein, + np.asarray(A), + np.asarray(B), + np.asarray(box), ) - return proj_funnel(lig_rot, np.asarray(A), np.asarray(B), Zcc, Z_0, R, k, k_cv, cv_min, cv_max) + return xi_perp def external_funnel( @@ -215,7 +204,6 @@ def get_funnel_force( w_ligand=None, w_protein=None, ): - funnel_force = partial( external_funnel, indexes=indices_sys, From 89b035cc2e5bd0f19efdc7d92669be9b53f84674 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Fri, 23 Aug 2024 17:52:36 -0500 Subject: [PATCH 15/25] Update funnel_abf.py Correct restraint bias shape. --- pysages/methods/funnel_abf.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pysages/methods/funnel_abf.py b/pysages/methods/funnel_abf.py index 46e0b332..f258c4d5 100644 --- a/pysages/methods/funnel_abf.py +++ b/pysages/methods/funnel_abf.py @@ -232,7 +232,7 @@ def update(state, data): hist = state.hist.at[I_xi].add(1) e_f, proj = ext_force(data) # Calculate the restraint contribution to the force - restr = Wp @ e_f.T.reshape(p.shape) + restr = Wp @ e_f.reshape(p.shape) # Remove the effect of the biasing force Fsum = state.Fsum.at[I_xi].add(dWp_dt + 0.5 * (force + state.force)) Frestr = state.Frestr.at[I_xi].add(restr) From 43371138343f52699e2bb6dfd0116edfae7eab22 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 11 Mar 2025 18:32:13 -0500 Subject: [PATCH 16/25] Spectral ABF with geometric restraints Add spectral abf with external restraints --- pysages/methods/funnel_sabf.py | 440 +++++++++++++++++++++++++++++++++ 1 file changed, 440 insertions(+) create mode 100644 pysages/methods/funnel_sabf.py diff --git a/pysages/methods/funnel_sabf.py b/pysages/methods/funnel_sabf.py new file mode 100644 index 00000000..784caeba --- /dev/null +++ b/pysages/methods/funnel_sabf.py @@ -0,0 +1,440 @@ +# SPDX-License-Identifier: MIT +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Funnel Spectral Adaptive Biasing Force Sampling Method. + +""" + +from jax import jit +from jax import numpy as np +from jax.lax import cond + +from pysages.approxfun import ( + Fun, + SpectralGradientFit, + build_evaluator, + build_fitter, + build_grad_evaluator, + compute_mesh, +) +from pysages.grids import Chebyshev, Grid, build_indexer, convert, grid_transposer +from pysages.methods.core import GriddedSamplingMethod, Result, generalize +from pysages.methods.restraints import apply_restraints +from pysages.methods.utils import numpyfy_vals +from pysages.typing import JaxArray, NamedTuple, Tuple +from pysages.utils import dispatch, first_or_all, linear_solver + + +class SpectralFABFState(NamedTuple): + """ + Funnel_SpectralABF internal state. + + Parameters + ---------- + + xi: JaxArray [cvs.shape] + Last collective variable recorded in the simulation. + + bias: JaxArray [natoms, 3] + Array with biasing forces for each particle. + + hist: JaxArray [grid.shape] + Histogram of visits to the bins in the collective variable grid. + + Fsum: JaxArray [grid.shape, cvs.shape] + The cumulative force recorded at each bin of the CV grid. + + force: JaxArray [grid.shape, cvs.shape] + Average force at each bin of the CV grid. + + Wp: JaxArray [cvs.shape] + Estimate of the product $W p$ where `p` is the matrix of momenta and + `W` the Moore-Penrose inverse of the Jacobian of the CVs. + + Wp_: JaxArray [cvs.shape] + The value of `Wp` for the previous integration step. + + fun: Fun + Object that holds the coefficients of the basis functions + approximation to the free energy. + + restr: JaxArray [grid.shape, cvs.shape] + Instantaneous restraint force at each bin of the CV grid. + + proj: JaxArray [cvs.shape] + Last collective variable from restraints recorded in the simulation. + + Frestr: JaxArray [grid.shape, cvs.shape] + The cumulative restraint force recorded at each bin of the CV grid. + + ncalls: int + Counts the number of times the method's update has been called. + """ + + xi: JaxArray + bias: JaxArray + hist: JaxArray + Fsum: JaxArray + force: JaxArray + Wp: JaxArray + Wp_: JaxArray + fun: Fun + restr: JaxArray + proj: JaxArray + Frestr: JaxArray + ncalls: int + + def __repr__(self): + return repr("PySAGES " + type(self).__name__) + + +class PartialSpectralFABFState(NamedTuple): + xi: JaxArray + hist: JaxArray + Fsum: JaxArray + ind: Tuple + fun: Fun + pred: bool + + +class Funnel_SpectralABF(GriddedSamplingMethod): + """ + Implementation of the Funnel_Spectral ABF method described in + + Parameters + ---------- + + cvs: Union[List, Tuple] + Set of user selected collective variable. + + grid: Grid + Specifies the collective variables domain and number of bins for discretizing + the CV space along each CV dimension. For non-periodic grids this will be + converted to a Chebyshev-distributed grid. + + N: Optional[int] = 500 + Threshold parameter before accounting for the full average + of the adaptive biasing force. + + fit_freq: Optional[int] = 100 + Fitting frequency. + + fit_threshold: Optional[int] = 500 + Number of time steps after which fitting starts to take place. + + restraints: Optional[CVRestraints] = None + If provided, indicate that harmonic restraints will be applied when any + collective variable lies outside the box from `restraints.lower` to + `restraints.upper`. + + use_pinv: Optional[Bool] = False + If set to True, the product `W @ p` will be estimated using + `np.linalg.pinv` rather than using the `scipy.linalg.solve` function. + This is computationally more expensive but numerically more stable. + + ext_force: Optional[ext_force] = None + If provided, indicate the geometric restraints will be applied for any + collective variables. + """ + + snapshot_flags = {"positions", "indices", "momenta"} + + def __init__(self, cvs, grid, **kwargs): + super().__init__(cvs, grid, **kwargs) + self.N = np.asarray(self.kwargs.get("N", 500)) + self.fit_freq = self.kwargs.get("fit_freq", 100) + self.fit_threshold = self.kwargs.get("fit_threshold", 500) + self.grid = self.grid if self.grid.is_periodic else convert(self.grid, Grid[Chebyshev]) + self.model = SpectralGradientFit(self.grid) + self.use_pinv = self.kwargs.get("use_pinv", False) + + def build(self, snapshot, helpers, *_args, **_kwargs): + """ + Returns the `initialize` and `update` functions for the sampling method. + """ + self.ext_force = self.kwargs.get("ext_force", None) + return _spectral_abf(self, snapshot, helpers) + + +def _spectral_abf(method, snapshot, helpers): + cv = method.cv + grid = method.grid + fit_freq = method.fit_freq + fit_threshold = method.fit_threshold + + dt = snapshot.dt + dims = grid.shape.size + natoms = np.size(snapshot.positions, 0) + + # Helper methods + tsolve = linear_solver(method.use_pinv) + get_grid_index = build_indexer(grid) + fit = build_fitter(method.model) + fit_forces = build_free_energy_fitter(method, fit) + fit_corr = build_corrected_energy_fitter(method, fit) + fit_restr = build_restraint_energy_fitter(method, fit) + estimate_force = build_force_estimator(method) + ext_force = method.ext_force + + def initialize(): + xi, _ = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + hist = np.zeros(grid.shape, dtype=np.uint32) + Fsum = np.zeros((*grid.shape, dims)) + force = np.zeros(dims) + Wp = np.zeros(dims) + Wp_ = np.zeros(dims) + fun = fit(Fsum) + restr = np.zeros(dims) + proj = 0.0 + Frestr = np.zeros((*grid.shape, dims)) + return SpectralFABFState(xi, bias, hist, Fsum, force, Wp, Wp_, fun, restr, proj, Frestr, 0) + + def update(state, data): + # During the intial stage use ABF + ncalls = state.ncalls + 1 + in_fitting_regime = ncalls > fit_threshold + in_fitting_step = in_fitting_regime & (ncalls % fit_freq == 1) + # Fit forces + fun = fit_forces(state, in_fitting_step) + # Compute the collective variable and its jacobian + xi, Jxi = cv(data) + # Restraint force and logger + e_f, proj = ext_force(data) + # + p = data.momenta + Wp = tsolve(Jxi, p) + # Second order backward finite difference + dWp_dt = (1.5 * Wp - 2.0 * state.Wp + 0.5 * state.Wp_) / dt + # + I_xi = get_grid_index(xi) + hist = state.hist.at[I_xi].add(1) + Fsum = state.Fsum.at[I_xi].add(dWp_dt + state.force) + # + force = estimate_force( + PartialSpectralFABFState(xi, hist, Fsum, I_xi, fun, in_fitting_regime) + ) + bias = np.reshape(-Jxi.T @ force, state.bias.shape) + np.reshape(-e_f, state.bias.shape) + # Restraint force and logger + e_f, proj = ext_force(data) + # Restraint contribution to force + restr = tsolve(Jxi, e_f.reshape(p.shape)) + Frestr = state.Frestr.at[I_xi].add(restr) + return SpectralFABFState( + xi, bias, hist, Fsum, force, Wp, state.Wp, fun, restr, proj, Frestr, ncalls + ) + + return snapshot, initialize, generalize(update, helpers) + + +def build_free_energy_fitter(_method: Funnel_SpectralABF, fit): + """ + Returns a function that given a `SpectralFABFState` performs a least squares fit of the + generalized average forces for finding the coefficients of a basis functions expansion + of the free energy. + """ + + def _fit_forces(state): + shape = (*state.Fsum.shape[:-1], 1) + force = state.Fsum / np.maximum(state.hist.reshape(shape), 1) + return fit(force) + + def skip_fitting(state): + return state.fun + + def fit_forces(state, in_fitting_step): + return cond(in_fitting_step, _fit_forces, skip_fitting, state) + + return fit_forces + + +@dispatch +def build_force_estimator(method: Funnel_SpectralABF): + """ + Returns a function that given the coefficients of basis functions expansion and a CV + value, evaluates the function approximation to the gradient of the free energy. + """ + N = method.N + grid = method.grid + dims = grid.shape.size + model = method.model + get_grad = build_grad_evaluator(model) + + def average_force(state): + i = state.ind + return state.Fsum[i] / np.maximum(state.hist[i], N) + + def interpolate_force(state): + return get_grad(state.fun, state.xi).reshape(grid.shape.size) + + def _estimate_force(state): + return cond(state.pred, interpolate_force, average_force, state) + + if method.restraints is None: + ob_force = jit(lambda state: np.zeros(dims)) + else: + lo, hi, kl, kh = method.restraints + + def ob_force(state): + xi = state.xi.reshape(grid.shape.size) + return apply_restraints(lo, hi, kl, kh, xi) + + def estimate_force(state): + ob = np.any(np.array(state.ind) == grid.shape) # Out of bounds condition + return cond(ob, ob_force, _estimate_force, state) + + return estimate_force + + +@dispatch +def analyze(result: Result[Funnel_SpectralABF]): + """ + Parameters + ---------- + + result: Result[FunnelSpectralABF] + Result bundle containing the method, final states, and callbacks. + + dict: + A dictionary with the following keys: + + histogram: JaxArray + A histogram of the visits to each bin in the CV grid. + + mean_force: JaxArray + Generalized mean forces at each bin in the CV grid. + + free_energy: JaxArray + Free energy at each bin in the CV grid. + + mesh: JaxArray + These are the values of the CVs that are used as inputs for training. + + fun: Fun + Coefficients of the basis functions expansion approximating the free energy. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the CV domain defined + by the grid. + + fun: Fun + Coefficients of the basis functions expansion approximating the free energy. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the CV domain defined + by the grid. + + fun_corr: Fun + Coefficients of the basis functions expansion approximating the free energy + defined without external restraints. + + corr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy without external restraints + in the CV domain defined by the grid. + fun_rstr: Fun + Coefficients of the basis functions expansion approximating the free energy + of the external restraints. + + rstr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy of theexternal restraints + in the CV domain defined by the grid. + + corrected_force: JaxArray + Generalized mean forces without restraints at each bin in the CV grid. + + corrected_energy: JaxArray + Free energy without restraints at each bin in the CV grid. + + restraint_force: JaxArray + Generalized mean forces of the restraints at each bin in the CV grid. + + restraint_energy: JaxArray + Free energy of restraints at each bin in the CV grid. + + + NOTE: + For multiple-replicas runs we return a list (one item per-replica) for each attribute. + """ + method = result.method + fit = build_fitter(method.model) + grid = method.grid + mesh = (compute_mesh(grid) + 1) * grid.size / 2 + grid.lower + evaluate = build_evaluator(method.model) + + def average_forces(hist, Fsum): + hist = np.expand_dims(hist, hist.ndim) + return Fsum / np.maximum(hist, 1) + + def fit_corr(state): + shape = (*state.Fsum.shape[:-1], 1) + force = (state.Fsum + state.Frestr) / np.maximum(state.hist.reshape(shape), 1) + return fit(force) + + def fit_restr(state): + shape = (*state.Fsum.shape[:-1], 1) + force = (state.Frestr) / np.maximum(state.hist.reshape(shape), 1) + return fit(force) + + def build_fes_fn(fun): + def fes_fn(x): + A = evaluate(fun, x) + return A.max() - A + + return jit(fes_fn) + + hists = [] + mean_forces = [] + free_energies = [] + funs = [] + fes_fns = [] + forces_corrected = [] + corrected_energies = [] + funs_corr = [] + fes_corr = [] + restraint_forces = [] + restraint_energies = [] + funs_rstr = [] + fes_rstr = [] + # We transpose the data for convenience when plotting + transpose = grid_transposer(grid) + d = mesh.shape[-1] + + for s in result.states: + fun_corr = fit_corr(s) + fun_rstr = fit_restr(s) + fes_fn = build_fes_fn(s.fun) + corr_fn = build_fes_fn(fun_corr) + restr_fn = build_fes_fn(fun_rstr) + hists.append(transpose(s.hist)) + mean_forces.append(transpose(average_forces(s.hist, s.Fsum))) + free_energies.append(transpose(fes_fn(mesh))) + funs.append(s.fun) + fes_fns.append(fes_fn) + forces_corrected.append(transpose(average_forces(s.hist, s.Fsum + s.Frestr))) + corrected_energies.append(transpose(corr_fn(mesh))) + funs_corr.append(fun_corr) + fes_corr.append(corr_fn) + restraint_forces.append(transpose(average_forces(s.hist, s.Frestr))) + restraint_energies.append(transpose(restr_fn(mesh))) + funs_rstr.append(fun_rstr) + fes_rstr.append(restr_fn) + + ana_result = { + "histogram": first_or_all(hists), + "mean_force": first_or_all(mean_forces), + "free_energy": first_or_all(free_energies), + "mesh": transpose(mesh).reshape(-1, d).squeeze(), + "fun": first_or_all(funs), + "fes_fn": first_or_all(fes_fns), + "corrected_force": first_or_all(forces_corrected), + "corrected_energy": first_or_all(corrected_energies), + "fun_corr": first_or_all(funs_corr), + "corr_fn": first_or_all(fes_corr), + "restraint_force": first_or_all(restraint_forces), + "restraint_energy": first_or_all(restraint_energies), + "fun_rstr": first_or_all(funs_rstr), + "rstr_fn": first_or_all(fes_rstr), + } + + return numpyfy_vals(ana_result) From 223b5c53d5510f83ae189bf343190e3e738825f1 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 11 Mar 2025 18:33:54 -0500 Subject: [PATCH 17/25] Update __init__.py add spectral abf with external restraints --- pysages/methods/__init__.py | 1 + 1 file changed, 1 insertion(+) diff --git a/pysages/methods/__init__.py b/pysages/methods/__init__.py index f57a132e..af83f71f 100644 --- a/pysages/methods/__init__.py +++ b/pysages/methods/__init__.py @@ -67,6 +67,7 @@ from .ffs import FFS from .funn import FUNN from .funnel_abf import Funnel_ABF +from .funnel_sabf import Funnel_SpectralABF from .funnel_function import get_funnel_force from .funnel_metad import Funnel_Metadynamics from .harmonic_bias import HarmonicBias From 81764a674897b7d9b8dc2113f2db6059bc3b49fd Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 11 Mar 2025 18:40:07 -0500 Subject: [PATCH 18/25] Update funnel_sabf.py remove unused variables --- pysages/methods/funnel_sabf.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/pysages/methods/funnel_sabf.py b/pysages/methods/funnel_sabf.py index 784caeba..98489bb2 100644 --- a/pysages/methods/funnel_sabf.py +++ b/pysages/methods/funnel_sabf.py @@ -172,8 +172,6 @@ def _spectral_abf(method, snapshot, helpers): get_grid_index = build_indexer(grid) fit = build_fitter(method.model) fit_forces = build_free_energy_fitter(method, fit) - fit_corr = build_corrected_energy_fitter(method, fit) - fit_restr = build_restraint_energy_fitter(method, fit) estimate_force = build_force_estimator(method) ext_force = method.ext_force From 052b7fcffd09d8e58e6439ecc6e5dc29527afd9f Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 12 Mar 2025 13:10:12 -0500 Subject: [PATCH 19/25] Update funnel_sabf.py remove duplicated force calculation --- pysages/methods/funnel_sabf.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/pysages/methods/funnel_sabf.py b/pysages/methods/funnel_sabf.py index 98489bb2..287d9443 100644 --- a/pysages/methods/funnel_sabf.py +++ b/pysages/methods/funnel_sabf.py @@ -214,8 +214,6 @@ def update(state, data): PartialSpectralFABFState(xi, hist, Fsum, I_xi, fun, in_fitting_regime) ) bias = np.reshape(-Jxi.T @ force, state.bias.shape) + np.reshape(-e_f, state.bias.shape) - # Restraint force and logger - e_f, proj = ext_force(data) # Restraint contribution to force restr = tsolve(Jxi, e_f.reshape(p.shape)) Frestr = state.Frestr.at[I_xi].add(restr) From 1a3906cc91927a94a941dbfa436da2a8f6f27244 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 12 Mar 2025 15:15:08 -0500 Subject: [PATCH 20/25] Updated ABF method with restraint Funnel ABF has now the option of different solvers like ABF and the analyze is more stable. This comit prepare the branch for restraints in FUNN and CFF. --- pysages/methods/analysis.py | 192 ++++++++++++++++++++++++ pysages/methods/funnel_abf.py | 267 ++++++++++------------------------ 2 files changed, 268 insertions(+), 191 deletions(-) diff --git a/pysages/methods/analysis.py b/pysages/methods/analysis.py index c37a473c..7029da17 100644 --- a/pysages/methods/analysis.py +++ b/pysages/methods/analysis.py @@ -173,3 +173,195 @@ def average_forces(hist, Fsum): "fes_fn": first_or_all(fes_fns), "mesh": transpose(mesh).reshape(-1, d).squeeze(), } + + +@dispatch +def _funnelanalyze(result: Result, strategy: GradientLearning, topology): + """ + Computes the free energy from the result of an `FunnelABF`-based run. + Integrates the forces via a gradient learning strategy. + + Parameters + ---------- + + result: Result: + Result bundle containing method, final FunnelABF-like state, and callback. + + strategy: GradientLearning + + topology: Tuple[int] + Defines the architecture of the neural network + (number of nodes in each hidden layer). + + Returns + ------- + + dict: A dictionary with the following keys: + + histogram: JaxArray + Histogram for the states visited during the method. + + mean_force: JaxArray + Average force at each bin of the CV grid. + + free_energy: JaxArray + Free Energy at each bin of the CV grid. + + mesh: JaxArray + Grid used in the method. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the + CV domain defined by the grid. + + NOTE: + For multiple-replicas runs we return a list (one item per-replica) + for each attribute. + """ + + # The ForceNN based analysis occurs in two stages: + # + # 1. The data is smoothed and a first quick fitting is performed to obtain + # an approximate set of network parameters. + # 2. A second training pass is then performed over the raw data starting + # with the parameters from previous step. + + method = result.method + states = result.states + grid = method.grid + mesh = inputs = (compute_mesh(grid) + 1) * grid.size / 2 + grid.lower + + model = MLP(grid.shape.size, 1, topology, transform=partial(_scale, grid=grid)) + loss = GradientsSSE() + regularizer = L2Regularization(1e-4) + + # Stage 1 optimizer + pre_optimizer = LevenbergMarquardt(loss=loss, max_iters=250, reg=regularizer) + pre_fit = build_fitting_function(model, pre_optimizer) + + # Stage 2 optimizer + optimizer = LevenbergMarquardt(loss=loss, max_iters=1000, reg=regularizer) + fit = build_fitting_function(model, optimizer) + + @vmap + def smooth(data, conv_dtype=np.float32): + data_dtype = data.dtype + boundary = "wrap" if grid.is_periodic else "edge" + kernel = np.asarray(blackman_kernel(grid.shape.size, 7), dtype=conv_dtype) + data = np.asarray(data, dtype=conv_dtype) + return np.asarray(convolve(data.T, kernel, boundary=boundary), dtype=data_dtype).T + + @jit + def pre_train(nn, data): + params = pre_fit(nn.params, inputs, smooth(data)).params + return NNData(params, nn.mean, nn.std) + + @jit + def train(nn, data): + params = fit(nn.params, inputs, data).params + return NNData(params, nn.mean, nn.std) + + def build_fes_fn(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = state.Fsum / np.maximum(hist, 1) + + # Scale the mean forces + s = np.abs(F).max() + F = F / s + + ps, layout = unpack(model.parameters) + nn = pre_train(NNData(ps, 0.0, s), F) + nn = train(nn, F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + def average_forces(hist, Fsum): + shape = (*Fsum.shape[:-1], 1) + return Fsum / np.maximum(hist.reshape(shape), 1) + + def build_corr_fn(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = (state.Fsum + state.Frestr) / np.maximum(hist, 1) + + # Scale the mean forces + s = np.abs(F).max() + F = F / s + + ps, layout = unpack(model.parameters) + nn = pre_train(NNData(ps, 0.0, s), F) + nn = train(nn, F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + def build_restr_fn(state): + hist = np.expand_dims(state.hist, state.hist.ndim) + F = state.Frestr / np.maximum(hist, 1) + + # Scale the mean forces + s = np.abs(F).max() + F = F / s + + ps, layout = unpack(model.parameters) + nn = pre_train(NNData(ps, 0.0, s), F) + nn = train(nn, F) + + def fes_fn(x): + params = pack(nn.params, layout) + A = nn.std * model.apply(params, x) + nn.mean + return A.max() - A + + return jit(fes_fn) + + hists = [] + mean_forces = [] + free_energies = [] + fes_fns = [] + corr_forces = [] + corrected_energies = [] + corr_fns = [] + restr_forces = [] + restraint_energies = [] + restr_fns = [] + + # We transpose the data for convenience when plotting + transpose = grid_transposer(grid) + d = mesh.shape[-1] + + for state in states: + fes_fn = build_fes_fn(state) + hists.append(transpose(state.hist)) + mean_forces.append(transpose(average_forces(state.hist, state.Fsum))) + free_energies.append(transpose(fes_fn(mesh))) + fes_fns.append(fes_fn) + corr_fn = build_corr_fn(state) + corr_forces.append(transpose(average_forces(state.hist, state.Fsum + state.Frestr))) + corrected_energies.append(transpose(corr_fn(mesh))) + corr_fns.append(corr_fn) + restr_fn = build_restr_fn(state) + restr_forces.append(transpose(average_forces(state.hist, state.Frestr))) + restraint_energies.append(transpose(restr_fn(mesh))) + restr_fns.append(restr_fn) + + return { + "histogram": first_or_all(hists), + "mean_force": first_or_all(mean_forces), + "free_energy": first_or_all(free_energies), + "fes_fn": first_or_all(fes_fns), + "mesh": transpose(mesh).reshape(-1, d).squeeze(), + "corrected_force": first_or_all(corr_forces), + "corrected_energy": first_or_all(corrected_energies), + "corr_fn": first_or_all(corr_fns), + "restraint_force": first_or_all(restr_forces), + "restraint_energy": first_or_all(restraint_energies), + "restr_fn": first_or_all(restr_fns), + } diff --git a/pysages/methods/funnel_abf.py b/pysages/methods/funnel_abf.py index f258c4d5..d01c1daa 100644 --- a/pysages/methods/funnel_abf.py +++ b/pysages/methods/funnel_abf.py @@ -1,52 +1,35 @@ +# SPDX-License-Identifier: GPL-3.0-or-later # See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES """ Funnel Adaptive Biasing Force (Funnel_ABF) sampling method. -Funnel_ABF partitions the collective variable space into bins determined by a user +ABF partitions the collective variable space into bins determined by a user provided grid, and keeps a tabulation of the number of visits to each bin as well as the sum of generalized forces experienced by the system at each -configuration bin in the presence of a restraining potential. These provide an estimate for the mean -generalized force removing the effect of the restraint potential on the CV, which can be integrated -to yield the free energy. - -The implementation of the adaptive biasing force method here closely follows -Kulhánek, P.; Bouchal, T.; Durník, I.; Štěpán, J.; -Fuxreiter, M.; Mones, L.; Petřek, M.; Střelcová, Z. -PMFLib - A Toolkit for Free Energy Calculations; https://pmflib.ncbr.muni.cz, 2018. -""" +configuration bin. These provide an estimate for the mean generalized force, +which can be integrated to yield the free energy. This update allows to include + external restraint and accurately remove their contribution in the free energy + calculations. -from functools import partial -from typing import NamedTuple +""" from jax import jit from jax import numpy as np -from jax import vmap from jax.lax import cond -from jax.numpy import linalg -from pysages.approxfun.core import compute_mesh -from pysages.approxfun.core import scale as _scale from pysages.grids import build_indexer - -# from pysages.methods.analysis import GradientLearning, _analyze +from pysages.methods.analysis import GradientLearning, _funnelanalyze from pysages.methods.core import GriddedSamplingMethod, Result, generalize from pysages.methods.restraints import apply_restraints from pysages.methods.utils import numpyfy_vals -from pysages.ml.models import MLP -from pysages.ml.objectives import GradientsSSE, L2Regularization -from pysages.ml.optimizers import LevenbergMarquardt -from pysages.ml.training import NNData, build_fitting_function, convolve, normalize -from pysages.ml.utils import blackman_kernel, pack, unpack from pysages.typing import JaxArray, NamedTuple -from pysages.utils import dispatch - -# from jax.scipy import linalg as lg +from pysages.utils import dispatch, linear_solver class FABFState(NamedTuple): """ - ABF internal state. + Funnel_ABF internal state. Parameters ---------- @@ -71,6 +54,9 @@ class FABFState(NamedTuple): Wp_: JaxArray (CV shape) Product of W matrix and momenta matrix for the previous step. + + ncalls: int + Counts the number of times the method's update has been called. """ xi: JaxArray @@ -79,10 +65,11 @@ class FABFState(NamedTuple): Fsum: JaxArray force: JaxArray Wp: JaxArray - p: JaxArray + Wp_: JaxArray restr: JaxArray proj: JaxArray Frestr: JaxArray + ncalls: int def __repr__(self): return repr("PySAGES " + type(self).__name__) @@ -105,8 +92,8 @@ class Funnel_ABF(GriddedSamplingMethod): Set of user selected collective variable. grid: Grid - Specifies the collective variables domain and number of bins for discretizing - the CV space along each CV dimension. + Specifies the collective variables domain and number of bins for + discretizing the CV space along each CV dimension. N: Optional[int] = 500 Threshold parameter before accounting for the full average @@ -116,8 +103,11 @@ class Funnel_ABF(GriddedSamplingMethod): If provided, indicate that harmonic restraints will be applied when any collective variable lies outside the box from `restraints.lower` to `restraints.upper`. - ext_force: - External force from the funnel potential + + use_pinv: Optional[Bool] = False + If set to True, the product `W @ p` will be estimated using + `np.linalg.pinv` rather than using the `scipy.linalg.solve` function. + This is computationally more expensive but numerically more stable. """ snapshot_flags = {"positions", "indices", "momenta"} @@ -125,6 +115,7 @@ class Funnel_ABF(GriddedSamplingMethod): def __init__(self, cvs, grid, **kwargs): super().__init__(cvs, grid, **kwargs) self.N = np.asarray(self.kwargs.get("N", 500)) + self.use_pinv = self.kwargs.get("use_pinv", False) def build(self, snapshot, helpers, *args, **kwargs): """ @@ -156,7 +147,7 @@ def _abf(method, snapshot, helpers): Parameters ---------- - method: Funnel_ABF + method: ABF Class that generates the functions. snapshot: PySAGES snapshot of the simulation (backend dependent). @@ -174,13 +165,15 @@ def _abf(method, snapshot, helpers): dt = snapshot.dt dims = grid.shape.size natoms = np.size(snapshot.positions, 0) + tsolve = linear_solver(method.use_pinv) get_grid_index = build_indexer(grid) estimate_force = build_force_estimator(method) ext_force = method.ext_force def initialize(): """ - Internal function that generates the first FABFstate with correctly shaped JaxArrays. + Internal function that generates the first FABFState + with correctly shaped JaxArrays. Returns ------- @@ -192,12 +185,12 @@ def initialize(): hist = np.zeros(grid.shape, dtype=np.uint32) Fsum = np.zeros((*grid.shape, dims)) force = np.zeros(dims) - Wp = np.zeros((dims, helpers.dimensionality(), natoms)) - p = np.zeros((natoms, helpers.dimensionality())) + Wp = np.zeros(dims) + Wp_ = np.zeros(dims) + Frestr = np.zeros((*grid.shape, dims)) restr = np.zeros(dims) proj = 0.0 - Frestr = np.zeros((*grid.shape, dims)) - return FABFState(xi, bias, hist, Fsum, force, Wp, p, restr, proj, Frestr) + return FABFState(xi, bias, hist, Fsum, force, Wp, Wp_, restr, proj, Frestr, 0) def update(state, data): """ @@ -220,35 +213,25 @@ def update(state, data): xi, Jxi = cv(data) p = data.momenta - Wp = linalg.inv(Jxi @ Jxi.T) @ Jxi - # https://pmflib.ncbr.muni.cz/wiki6/index.php/Adaptive_Biasing_Force_Method - F_pot = Wp @ ((p - state.p.reshape(p.shape)) / (dt)) - F_kin_old = (Wp - state.Wp.reshape(Wp.shape)) @ state.p.reshape(p.shape) / dt - F_kin_new = (Wp - state.Wp.reshape(Wp.shape)) @ p / dt - F_kin = 0.5 * (F_kin_old + F_kin_new) - dWp_dt = F_pot + F_kin + Wp = tsolve(Jxi, p) + # Restraint force and logger + e_f, proj = ext_force(data) + # Second order backward finite difference + dWp_dt = (1.5 * Wp - 2.0 * state.Wp + 0.5 * state.Wp_) / dt + I_xi = get_grid_index(xi) - force = estimate_force(xi, I_xi, state.Fsum, state.hist).reshape(dims) hist = state.hist.at[I_xi].add(1) - e_f, proj = ext_force(data) - # Calculate the restraint contribution to the force - restr = Wp @ e_f.reshape(p.shape) - # Remove the effect of the biasing force - Fsum = state.Fsum.at[I_xi].add(dWp_dt + 0.5 * (force + state.force)) + # Add previous force to remove bias + Fsum = state.Fsum.at[I_xi].add(dWp_dt + state.force) + + force = estimate_force(xi, I_xi, Fsum, hist).reshape(dims) + bias = np.reshape(-Jxi.T @ force, state.bias.shape) + np.reshape(-e_f, state.bias.shape) + # Restraint contribution to force + restr = tsolve(Jxi, e_f.reshape(p.shape)) Frestr = state.Frestr.at[I_xi].add(restr) - bias = np.reshape(-Jxi.T @ force, state.bias.shape) - np.reshape(e_f, state.bias.shape) return FABFState( - xi, - bias, - hist, - Fsum, - force, - Wp.reshape(state.Wp.shape), - p.reshape(state.p.shape), - restr, - proj, - Frestr, + xi, bias, hist, Fsum, force, Wp, state.Wp, restr, proj, Frestr, state.ncalls + 1 ) return snapshot, initialize, generalize(update, helpers) @@ -289,7 +272,7 @@ def estimate_force(xi, I_xi, Fsum, hist): def analyze(result: Result[Funnel_ABF], **kwargs): """ Computes the free energy from the result of an `Funnel_ABF` run. - Integrates the forces using Sobolev approximation of functions by gradient learning. + Integrates the forces via a gradient learning strategy. Parameters ---------- @@ -297,13 +280,15 @@ def analyze(result: Result[Funnel_ABF], **kwargs): result: Result[Funnel_ABF]: Result bundle containing method, final ABF state, and callback. - topology: Optional[Tuple[int]] = (4, 4) - Defines the architecture of the neural network (number of nodes of each hidden layer). + topology: Optional[Tuple[int]] = (8, 8) + Defines the architecture of the neural network + (number of nodes in each hidden layer). Returns ------- - dict: A dictionary with the following keys: + dict: + A dictionary with the following keys: histogram: JaxArray Histogram for the states visited during the method. @@ -314,139 +299,39 @@ def analyze(result: Result[Funnel_ABF], **kwargs): free_energy: JaxArray Free Energy at each bin of the CV grid. - force_corrected: JaxArray - Average force at each bin of the CV grid without the restraint contribution. - - free_energy_corrected: JaxArray - Free Energy at each bin of the CV grid without the restraint contribution. - - mean_restraint: JaxArray - Average force contributio of the restraint at each bin of the CV grid. - - free_energy_restraint: JaxArray - Free Energy of the restraint at each bin of the CV grid. - mesh: JaxArray Grid used in the method. fes_fn: Callable[[JaxArray], JaxArray] - Function that allows to interpolate the free energy in the CV domain defined - by the grid. - - fes_corr: Callable[[JaxArray], JaxArray] - Function that allows to interpolate the free energy without restraints in the - CV domain defined by the grid. - fes_rst: Callable[[JaxArray], JaxArray] - Function that allows to interpolate the free energy of the restraint in the + Function that allows to interpolate the free energy in the CV domain defined by the grid. - """ - topology = kwargs.get("topology", (4, 4)) - method = result.method - state = result.states[0] - grid = method.grid - inputs = (compute_mesh(grid) + 1) * grid.size / 2 + grid.lower - model = MLP(grid.shape.size, 1, topology, transform=partial(_scale, grid=grid)) - optimizer = LevenbergMarquardt(loss=GradientsSSE(), max_iters=2500, reg=L2Regularization(1e-3)) - fit = build_fitting_function(model, optimizer) + corrected_force: JaxArray + Average mean force without restraint at each bin of the CV grid. - @vmap - def smooth(data): - boundary = "wrap" if grid.is_periodic else "edge" - kernel = np.float32(blackman_kernel(grid.shape.size, 7)) - return convolve(data.T, kernel, boundary=boundary).T + corrected_energy: JaxArray + Free Energy without restraint at each bin of the CV grid. - if grid.is_periodic: + corr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy without restraints + in the CV domain defined by the grid. - def _normalize(data, axes=None): - data, _, std = normalize(data, axes=axes) - return std * data / std.max(), std.max() + restraint_force: JaxArray + Average mean force of the restraints at each bin of the CV grid. - else: + restraint_energy: JaxArray + Free Energy of the restraints at each bin of the CV grid. + + restr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy of the restraints + in the CV domain defined by the grid. - def _normalize(data, axes=None): - std = data.std(axis=axes).max() - return data / std, std - - def train(nn, data): - axes = tuple(range(data.ndim - 1)) - data, std = _normalize(data, axes=axes) - reference = np.float64(smooth(np.float32(data))) - params = fit(nn.params, inputs, reference).params - return NNData(params, nn.mean, std / reference.std(axis=axes).max()) - - def build_fes_fn(state): - hist = np.expand_dims(state.hist, state.hist.ndim) - F = state.Fsum / np.maximum(hist, 1) - - ps, layout = unpack(model.parameters) - nn = train(NNData(ps, 0.0, 1.0), F) - - def fes_fn(x): - params = pack(nn.params, layout) - A = nn.std * model.apply(params, x) + nn.mean - return A.max() - A - - return jit(fes_fn) - - def build_fes_corr(state): - hist = np.expand_dims(state.hist, state.hist.ndim) - F = (state.Fsum + state.Frestr) / np.maximum(hist, 1) - - ps, layout = unpack(model.parameters) - nn = train(NNData(ps, 0.0, 1.0), F) - - def fes_fn(x): - params = pack(nn.params, layout) - A = nn.std * model.apply(params, x) + nn.mean - return A.max() - A - - return jit(fes_fn) - - def build_fes_rst(state): - hist = np.expand_dims(state.hist, state.hist.ndim) - F = state.Frestr / np.maximum(hist, 1) - - ps, layout = unpack(model.parameters) - nn = train(NNData(ps, 0.0, 1.0), F) - - def fes_fn(x): - params = pack(nn.params, layout) - A = nn.std * model.apply(params, x) + nn.mean - return A.max() - A - - return jit(fes_fn) - - def average_forces(state): - Fsum = state.Fsum - shape = (*Fsum.shape[:-1], 1) - return Fsum / np.maximum(state.hist.reshape(shape), 1) - - def average_restraints(state): - Fsum = state.Frestr - shape = (*Fsum.shape[:-1], 1) - return Fsum / np.maximum(state.hist.reshape(shape), 1) - - def average_corrected(state): - Fsum = state.Fsum + state.Frestr - shape = (*Fsum.shape[:-1], 1) - return Fsum / np.maximum(state.hist.reshape(shape), 1) - - fes_fn = build_fes_fn(state) - fes_corr = build_fes_corr(state) - fes_rst = build_fes_rst(state) - - ana_result = dict( - histogram=state.hist, - mean_force=average_forces(state), - free_energy=fes_fn(inputs).reshape(grid.shape), - mesh=inputs, - fes_fn=fes_fn, - fes_corr=fes_corr, - fes_rst=fes_rst, - mean_restraint=average_restraints(state), - force_corrected=average_corrected(state), - free_energy_corrected=fes_corr(inputs).reshape(grid.shape), - free_energy_restraint=fes_rst(inputs).reshape(grid.shape), - ) - return numpyfy_vals(ana_result) + + + NOTE: + For multiple-replicas runs we return a list (one item per-replica) + for each attribute. + """ + topology = kwargs.get("topology", (8, 8)) + _result = _funnelanalyze(result, GradientLearning(), topology) + return numpyfy_vals(_result) From 2fdc4013669396f233a92d80aab523d158b8546f Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Thu, 13 Mar 2025 12:16:40 -0500 Subject: [PATCH 21/25] compatible funnel abf This commit solves the issue with old funnel abf pickle files, it will be removed in future updates. --- pysages/methods/__init__.py | 4 +- pysages/methods/old_fabf.py | 344 ++++++++++++++++++++++++++++++++++++ 2 files changed, 346 insertions(+), 2 deletions(-) create mode 100644 pysages/methods/old_fabf.py diff --git a/pysages/methods/__init__.py b/pysages/methods/__init__.py index af83f71f..a1e29e17 100644 --- a/pysages/methods/__init__.py +++ b/pysages/methods/__init__.py @@ -66,12 +66,12 @@ from .core import SamplingMethod from .ffs import FFS from .funn import FUNN -from .funnel_abf import Funnel_ABF -from .funnel_sabf import Funnel_SpectralABF from .funnel_function import get_funnel_force from .funnel_metad import Funnel_Metadynamics +from .funnel_sabf import Funnel_SpectralABF from .harmonic_bias import HarmonicBias from .metad import Metadynamics +from .old_fabf import Funnel_ABF from .restraints import CVRestraints from .sirens import Sirens from .spectral_abf import SpectralABF diff --git a/pysages/methods/old_fabf.py b/pysages/methods/old_fabf.py new file mode 100644 index 00000000..e3cfac0f --- /dev/null +++ b/pysages/methods/old_fabf.py @@ -0,0 +1,344 @@ +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Funnel Adaptive Biasing Force (Funnel_ABF) sampling method. + +Funnel_ABF partitions the collective variable space into bins determined by a user +provided grid, and keeps a tabulation of the number of visits to each bin +as well as the sum of generalized forces experienced by the system at each +configuration bin in the presence of a restraining potential. These provide an estimate for the mean +generalized force removing the effect of the restraint potential on the CV, which can be integrated +to yield the free energy. + +The implementation of the adaptive biasing force method here closely follows +Kulhánek, P.; Bouchal, T.; Durník, I.; Štěpán, J.; +Fuxreiter, M.; Mones, L.; Petřek, M.; Střelcová, Z. +PMFLib - A Toolkit for Free Energy Calculations; https://pmflib.ncbr.muni.cz, 2018. +""" + +from typing import NamedTuple + +from jax import jit +from jax import numpy as np +from jax.lax import cond +from jax.numpy import linalg + +from pysages.grids import build_indexer +from pysages.methods.analysis import GradientLearning, _funnelanalyze +from pysages.methods.core import GriddedSamplingMethod, Result, generalize +from pysages.methods.restraints import apply_restraints +from pysages.methods.utils import numpyfy_vals +from pysages.typing import JaxArray, NamedTuple +from pysages.utils import dispatch + +# from jax.scipy import linalg as lg + + +class FABFState(NamedTuple): + """ + ABF internal state. + + Parameters + ---------- + + xi: JaxArray (CV shape) + Last collective variable recorded in the simulation. + + bias: JaxArray (Nparticles, d) + Array with biasing forces for each particle. + + hist: JaxArray (grid.shape) + Histogram of visits to the bins in the collective variable grid. + + Fsum: JaxArray (grid.shape, CV shape) + Cumulative forces at each bin in the CV grid. + + force: JaxArray (grid.shape, CV shape) + Average force at each bin of the CV grid. + + Wp: JaxArray (CV shape) + Product of W matrix and momenta matrix for the current step. + + Wp_: JaxArray (CV shape) + Product of W matrix and momenta matrix for the previous step. + """ + + xi: JaxArray + bias: JaxArray + hist: JaxArray + Fsum: JaxArray + force: JaxArray + Wp: JaxArray + p: JaxArray + restr: JaxArray + proj: JaxArray + Frestr: JaxArray + + def __repr__(self): + return repr("PySAGES " + type(self).__name__) + + +class Funnel_ABF(GriddedSamplingMethod): + """ + Funnel Adaptive Biasing Force Method. + + Attributes + ---------- + + snapshot_flags: + Indicate the system properties required from a snapshot. + + Parameters + ---------- + + cvs: Union[List, Tuple] + Set of user selected collective variable. + + grid: Grid + Specifies the collective variables domain and number of bins for discretizing + the CV space along each CV dimension. + + N: Optional[int] = 500 + Threshold parameter before accounting for the full average + of the adaptive biasing force. + + restraints: Optional[CVRestraints] = None + If provided, indicate that harmonic restraints will be applied when any + collective variable lies outside the box from `restraints.lower` to + `restraints.upper`. + ext_force: + External force from the funnel potential + """ + + snapshot_flags = {"positions", "indices", "momenta"} + + def __init__(self, cvs, grid, **kwargs): + super().__init__(cvs, grid, **kwargs) + self.N = np.asarray(self.kwargs.get("N", 500)) + + def build(self, snapshot, helpers, *args, **kwargs): + """ + Build the functions for the execution of ABF + + Parameters + ---------- + + snapshot: + PySAGES snapshot of the simulation (backend dependent). + + helpers: + Helper function bundle as generated by + `SamplingMethod.context[0].get_backend().build_helpers`. + + Returns + ------- + + Tuple `(snapshot, initialize, update)` to run ABF simulations. + """ + self.ext_force = self.kwargs.get("ext_force", None) + return _abf(self, snapshot, helpers) + + +def _abf(method, snapshot, helpers): + """ + Internal function that generates the init and update functions. + + Parameters + ---------- + + method: Funnel_ABF + Class that generates the functions. + snapshot: + PySAGES snapshot of the simulation (backend dependent). + helpers + Helper function bundle as generated by + `SamplingMethod.context[0].get_backend().build_helpers`. + + Returns + ------- + Tuple `(snapshot, initialize, update)` to run ABF simulations. + """ + cv = method.cv + grid = method.grid + + dt = snapshot.dt + dims = grid.shape.size + natoms = np.size(snapshot.positions, 0) + get_grid_index = build_indexer(grid) + estimate_force = build_force_estimator(method) + ext_force = method.ext_force + + def initialize(): + """ + Internal function that generates the first FABFstate with correctly shaped JaxArrays. + + Returns + ------- + FABFState + Initialized State + """ + xi, _ = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + hist = np.zeros(grid.shape, dtype=np.uint32) + Fsum = np.zeros((*grid.shape, dims)) + force = np.zeros(dims) + Wp = np.zeros((dims, helpers.dimensionality(), natoms)) + p = np.zeros((natoms, helpers.dimensionality())) + restr = np.zeros(dims) + proj = 0.0 + Frestr = np.zeros((*grid.shape, dims)) + return FABFState(xi, bias, hist, Fsum, force, Wp, p, restr, proj, Frestr) + + def update(state, data): + """ + Advance the state of the Funnel_ABF simulation. + + Parameters + ---------- + + state: FABFstate + Old FABFstate from the previous simutlation step. + data: JaxArray + Snapshot to access simulation data. + + Returns + ------- + FABFState + Updated internal state. + """ + # Compute the collective variable and its jacobian + xi, Jxi = cv(data) + + p = data.momenta + Wp = linalg.inv(Jxi @ Jxi.T) @ Jxi + # https://pmflib.ncbr.muni.cz/wiki6/index.php/Adaptive_Biasing_Force_Method + F_pot = Wp @ ((p - state.p.reshape(p.shape)) / (dt)) + F_kin_old = (Wp - state.Wp.reshape(Wp.shape)) @ state.p.reshape(p.shape) / dt + F_kin_new = (Wp - state.Wp.reshape(Wp.shape)) @ p / dt + F_kin = 0.5 * (F_kin_old + F_kin_new) + dWp_dt = F_pot + F_kin + I_xi = get_grid_index(xi) + force = estimate_force(xi, I_xi, state.Fsum, state.hist).reshape(dims) + hist = state.hist.at[I_xi].add(1) + e_f, proj = ext_force(data) + # Calculate the restraint contribution to the force + restr = Wp @ e_f.reshape(p.shape) + # Remove the effect of the biasing force + Fsum = state.Fsum.at[I_xi].add(dWp_dt + 0.5 * (force + state.force)) + Frestr = state.Frestr.at[I_xi].add(restr) + bias = np.reshape(-Jxi.T @ force, state.bias.shape) - np.reshape(e_f, state.bias.shape) + + return FABFState( + xi, + bias, + hist, + Fsum, + force, + Wp.reshape(state.Wp.shape), + p.reshape(state.p.shape), + restr, + proj, + Frestr, + ) + + return snapshot, initialize, generalize(update, helpers) + + +@dispatch +def build_force_estimator(method: Funnel_ABF): + """ + Returns a function that computes the average forces + (or the harmonic restraints forces if provided). + """ + N = method.N + grid = method.grid + + def average_force(data): + _, I_xi, Fsum, hist = data + return Fsum[I_xi] / np.maximum(N, hist[I_xi]) + + if method.restraints is None: + estimate_force = jit(lambda *args: average_force(args)) + else: + lo, hi, kl, kh = method.restraints + + def restraints_force(data): + xi, *_ = data + xi = xi.reshape(grid.shape.size) + return apply_restraints(lo, hi, kl, kh, xi) + + def estimate_force(xi, I_xi, Fsum, hist): + ob = np.any(np.array(I_xi) == grid.shape) # Out of bounds condition + data = (xi, I_xi, Fsum, hist) + return cond(ob, restraints_force, average_force, data) + + return estimate_force + + +@dispatch +def analyze(result: Result[Funnel_ABF], **kwargs): + """ + Computes the free energy from the result of an `Funnel_ABF` run. + Integrates the forces via a gradient learning strategy. + + Parameters + ---------- + + result: Result[Funnel_ABF]: + Result bundle containing method, final ABF state, and callback. + + topology: Optional[Tuple[int]] = (8, 8) + Defines the architecture of the neural network + (number of nodes in each hidden layer). + + Returns + ------- + + dict: + A dictionary with the following keys: + + histogram: JaxArray + Histogram for the states visited during the method. + + mean_force: JaxArray + Average force at each bin of the CV grid. + + free_energy: JaxArray + Free Energy at each bin of the CV grid. + + mesh: JaxArray + Grid used in the method. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the + CV domain defined by the grid. + + corrected_force: JaxArray + Average mean force without restraint at each bin of the CV grid. + + corrected_energy: JaxArray + Free Energy without restraint at each bin of the CV grid. + + corr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy without restraints + in the CV domain defined by the grid. + + restraint_force: JaxArray + Average mean force of the restraints at each bin of the CV grid. + + restraint_energy: JaxArray + Free Energy of the restraints at each bin of the CV grid. + + restr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy of the restraints + in the CV domain defined by the grid. + + + + NOTE: + For multiple-replicas runs we return a list (one item per-replica) + for each attribute. + """ + topology = kwargs.get("topology", (8, 8)) + _result = _funnelanalyze(result, GradientLearning(), topology) + return numpyfy_vals(_result) From fa4e19be7045c135cebb4e25d39b5a16e35428f1 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 10 Jun 2025 09:42:31 -0500 Subject: [PATCH 22/25] Create nanoreactor method Time dependent restraints for reaction pathways discovery. --- pysages/methods/nanoreactor.py | 88 ++++++++++++++++++++++++++++++++++ 1 file changed, 88 insertions(+) create mode 100644 pysages/methods/nanoreactor.py diff --git a/pysages/methods/nanoreactor.py b/pysages/methods/nanoreactor.py new file mode 100644 index 00000000..82425e1a --- /dev/null +++ b/pysages/methods/nanoreactor.py @@ -0,0 +1,88 @@ +# SPDX-License-Identifier: MIT +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Nanoreactor simulation method method. + +This method alter the original simulation by a time dependent restraint. +It allows nanoreactor simulations with the PySAGES framework. + +A common use case is to sample reaction pathways. +""" + +import jax.numpy as np + +from pysages.methods.core import SamplingMethod, generalize +from pysages.typing import JaxArray, NamedTuple + + +class NanoreactorState(NamedTuple): + """ + Description of a state for nanoreactor simulations. + + xi: JaxArray + Collective variable value of the last simulation step. + + bias: JaxArray + An array that stores the forces of the time dependent restraint. + + proj: JaxArray + An array for logging extra properties. + + ncalls: int + Counts the number of times the method's update has been called. + """ + + xi: JaxArray + bias: JaxArray + proj: JaxArray + ncalls: int + + def __repr__(self): + return repr("PySAGES" + type(self).__name__) + + +class Nanoreactor(SamplingMethod): + """ + Nanoreactor method class. + + Run simulations with time dependent restraint. + """ + + snapshot_flags = {"positions", "indices", "masses"} + + def __init__(self, cvs, **kwargs): + """ + Arguments + --------- + + cvs: Union[List, Tuple] + A list or tuple of collective variables, length `N`. + """ + kwargs["cv_grad"] = False + super().__init__(cvs, **kwargs) + + def build(self, snapshot, helpers, *args, **kwargs): + self.ext_force = self.kwargs.get("ext_force", None) + return _nanoreactor(self, snapshot, helpers) + + +def _nanoreactor(method, snapshot, helpers): + cv = method.cv + dt = snapshot.dt + natoms = np.size(snapshot.positions, 0) + ext_force = method.ext_force + + def initialize(): + xi = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + return NanoreactorState(xi, bias, 0.0, 0) + + def update(state, data): + ncalls = state.ncalls + 1 + xi = cv(data) + force, proj = ext_force(data, ncalls * dt) + bias = -force.reshape(state.bias.shape) + return NanoreactorState(xi, bias, proj, ncalls) + + return snapshot, initialize, generalize(update, helpers) From ca85a2a736899a49de4ba6a6e6ed9afe4af7c313 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Tue, 10 Jun 2025 09:43:45 -0500 Subject: [PATCH 23/25] Update __init__.py Add Nanoreactor method --- pysages/methods/__init__.py | 1 + 1 file changed, 1 insertion(+) diff --git a/pysages/methods/__init__.py b/pysages/methods/__init__.py index a1e29e17..72d41d5d 100644 --- a/pysages/methods/__init__.py +++ b/pysages/methods/__init__.py @@ -71,6 +71,7 @@ from .funnel_sabf import Funnel_SpectralABF from .harmonic_bias import HarmonicBias from .metad import Metadynamics +from .nanoreactor import Nanoreactor from .old_fabf import Funnel_ABF from .restraints import CVRestraints from .sirens import Sirens From 86ef3c30107723ab3384fad8a22de61fcd04305b Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 8 Oct 2025 16:29:44 -0500 Subject: [PATCH 24/25] Update __init__.py Initial commit for funnel metad with abf support --- pysages/methods/__init__.py | 1 + 1 file changed, 1 insertion(+) diff --git a/pysages/methods/__init__.py b/pysages/methods/__init__.py index 72d41d5d..6a1f2c99 100644 --- a/pysages/methods/__init__.py +++ b/pysages/methods/__init__.py @@ -69,6 +69,7 @@ from .funnel_function import get_funnel_force from .funnel_metad import Funnel_Metadynamics from .funnel_sabf import Funnel_SpectralABF +from .funnel_metadabf import Funnel_MetaDABF from .harmonic_bias import HarmonicBias from .metad import Metadynamics from .nanoreactor import Nanoreactor From a490d3020a20f87b435498cb73949d72703cf2d6 Mon Sep 17 00:00:00 2001 From: gustavor101 Date: Wed, 8 Oct 2025 16:33:49 -0500 Subject: [PATCH 25/25] Add Funnel MetaDABF method Add funnel metadynamics method with force decomposition of the restraint. Bias is driven by metadynamics and analysis done with ABF. --- pysages/methods/funnel_metadabf.py | 477 +++++++++++++++++++++++++++++ 1 file changed, 477 insertions(+) create mode 100644 pysages/methods/funnel_metadabf.py diff --git a/pysages/methods/funnel_metadabf.py b/pysages/methods/funnel_metadabf.py new file mode 100644 index 00000000..9415ffe4 --- /dev/null +++ b/pysages/methods/funnel_metadabf.py @@ -0,0 +1,477 @@ +# SPDX-License-Identifier: MIT +# See LICENSE.md and CONTRIBUTORS.md at https://github.com/SSAGESLabs/PySAGES + +""" +Implementation of Standard and Well-tempered MetaD-ABF +both with support for grids. +""" + +from jax import grad, jit +from jax import numpy as np +from jax import value_and_grad, vmap +from jax.lax import cond + +from pysages.approxfun import compute_mesh +from pysages.colvars import get_periods, wrap +from pysages.grids import build_indexer +from pysages.methods.analysis import GradientLearning, _funnelanalyze +from pysages.methods.core import GriddedSamplingMethod, Result, generalize +from pysages.methods.restraints import apply_restraints +from pysages.methods.utils import numpyfy_vals +from pysages.typing import JaxArray, NamedTuple, Optional +from pysages.utils import dispatch, gaussian, identity, linear_solver + + +class FMetaDABFState(NamedTuple): + """ + MetaDABF helper state + + Parameters + ---------- + + xi: JaxArray + Collective variable value in the last simulation step. + + bias: JaxArray + Array of Metadynamics bias forces for each particle in the simulation. + + heights: JaxArray + Height values for all accumulated Gaussians (zeros for not yet added Gaussians). + + centers: JaxArray + Centers of the accumulated Gaussians. + + sigmas: JaxArray + Widths of the accumulated Gaussians. + + grid_potential: Optional[JaxArray] + Array of Metadynamics bias potentials stored on a grid. + + grid_gradient: Optional[JaxArray] + Array of Metadynamics bias gradients evaluated on a grid. + + idx: int + Index of the next Gaussian to be deposited. + + idg: int + Index of the CV in the forces array. + + hist: JaxArray (grid.shape) + Histogram of visits to the bins in the collective variable grid. + + Fsum: JaxArray (grid.shape, CV shape) + Cumulative forces at each bin in the CV grid. + + force: JaxArray (grid.shape, CV shape) + Average force at each bin of the CV grid. + + Wp: JaxArray (CV shape) + Product of W matrix and momenta matrix for the current step. + + Wp_: JaxArray (CV shape) + Product of W matrix and momenta matrix for the previous step. + + ncalls: int + Counts the number of times `method.update` has been called. + + perp: JaxArray + Collective variable perpendicular to the Funnel_CV + """ + + xi: JaxArray + bias: JaxArray + heights: JaxArray + centers: JaxArray + sigmas: JaxArray + grid_potential: Optional[JaxArray] + grid_gradient: Optional[JaxArray] + idx: int + idg: int + Wp: JaxArray + Wp_: JaxArray + force: JaxArray + Fsum: JaxArray + Frestr: JaxArray + hist: JaxArray + ncalls: int + perp: JaxArray + + def __repr__(self): + return repr("PySAGES" + type(self).__name__) + + +class PartialMetadynamicsState(NamedTuple): + """ + Helper intermediate Metadynamics state + """ + + xi: JaxArray + heights: JaxArray + centers: JaxArray + sigmas: JaxArray + grid_potential: Optional[JaxArray] + grid_gradient: Optional[JaxArray] + idx: int + grid_idx: Optional[JaxArray] + + +class Funnel_MetaDABF(GriddedSamplingMethod): + """ + Implementation of Standard and Well-tempered Funnel MetaDABF as described in + arXiv preprint arXiv:2504.13575. + """ + + snapshot_flags = {"positions", "indices", "momenta"} + + def __init__(self, cvs, height, sigma, stride, ngaussians, deltaT=None, **kwargs): + """ + Parameters + ---------- + + cvs: + Set of user selected collective variable. + + height: + Initial height of the deposited Gaussians. + + sigma: + Initial standard deviation of the to-be-deposit Gaussians. + + stride: int + Bias potential deposition frequency. + + ngaussians: int + Total number of expected Gaussians (`timesteps // stride + 1`). + + deltaT: Optional[float] = None + Well-tempered Metadynamics :math:`\\Delta T` parameter + (if `None` standard Metadynamics is used). + + grid: Optional[Grid] = None + If provided, it will be used to accelerate the computation by + approximating the bias potential and its gradient over its centers. + + kB: Optional[float] + Boltzmann constant. Must be provided for well-tempered Metadynamics + simulations and should match the internal units of the backend. + + restraints: Optional[CVRestraints] = None + If provided, it will be used to restraint CV space inside the grid. + + external_force: + External restraint to be used for funnel calculations. + """ + + if deltaT is not None and "kB" not in kwargs: + raise KeyError( + "For well-tempered Metadynamics a keyword argument `kB` for " + "the value of the Boltzmann constant (that matches the " + "internal units of the backend) must be provided." + ) + + kwargs["grid"] = kwargs.get("grid", None) + kwargs["restraints"] = kwargs.get("restraints", None) + super().__init__(cvs, **kwargs) + + self.height = height + self.sigma = sigma + self.stride = stride + self.ngaussians = ngaussians # NOTE: infer from timesteps and stride + self.deltaT = deltaT + self.kB = kwargs.get("kB", None) + self.use_pinv = self.kwargs.get("use_pinv", False) + + def build(self, snapshot, helpers, *args, **kwargs): + self.external_force = self.kwargs.get("external_force", None) + return _metadynamics(self, snapshot, helpers) + + +def _metadynamics(method, snapshot, helpers): + # Initialization and update of biasing forces. Interface expected for methods. + cv = method.cv + stride = method.stride + dims = method.grid.shape.size + dt = snapshot.dt + ngaussians = method.ngaussians + get_grid_index = build_indexer(method.grid) + external_force = method.external_force + tsolve = linear_solver(method.use_pinv) + natoms = np.size(snapshot.positions, 0) + + deposit_gaussian = build_gaussian_accumulator(method) + evaluate_bias_grad = build_bias_grad_evaluator(method) + + def initialize(): + xi, _ = cv(helpers.query(snapshot)) + bias = np.zeros((natoms, helpers.dimensionality())) + perp = 0.0 + # NOTE: for restart; use hills file to initialize corresponding arrays. + heights = np.zeros(ngaussians, dtype=np.float64) + centers = np.zeros((ngaussians, xi.size), dtype=np.float64) + sigmas = np.array(method.sigma, dtype=np.float64, ndmin=2) + hist = np.zeros(method.grid.shape, dtype=np.uint32) + Fsum = np.zeros((*method.grid.shape, dims)) + force = np.zeros(dims) + Wp = np.zeros(dims) + Wp_ = np.zeros(dims) + restr = np.zeros(dims) + Frestr = np.zeros((*method.grid.shape, dims)) + # Arrays to store forces and bias potential on a grid. + if method.grid is None: + grid_potential = grid_gradient = None + else: + shape = method.grid.shape + grid_potential = np.zeros((*shape,), dtype=np.float64) if method.deltaT else None + grid_gradient = np.zeros((*shape, shape.size), dtype=np.float64) + + return FMetaDABFState( + xi, + bias, + heights, + centers, + sigmas, + grid_potential, + grid_gradient, + 0, + 0, + Wp, + Wp_, + force, + Fsum, + Frestr, + hist, + 0, + perp, + ) + + def update(state, data): + # Compute the collective variable and its jacobian + xi, Jxi = cv(data) + + # Deposit Gaussian depending on the stride + ncalls = state.ncalls + 1 + in_deposition_step = (ncalls > 1) & (ncalls % stride == 1) + partial_state = deposit_gaussian(xi, state, in_deposition_step) + + # Evaluate gradient of biasing potential (or generalized force) + force = evaluate_bias_grad(partial_state) + + # Calculate biasing forces + bias = -Jxi.T @ force.flatten() + eforce, perp = external_force(data) + bias = bias.reshape(state.bias.shape) - eforce.reshape(state.bias.shape) + p = data.momenta + Wp = tsolve(Jxi, p) + # Second order backward finite difference + dWp_dt = (1.5 * Wp - 2.0 * state.Wp + 0.5 * state.Wp_) / dt + # + I_xi = get_grid_index(xi) + hist = state.hist.at[I_xi].add(1) + Fsum = state.Fsum.at[I_xi].add(dWp_dt + state.force) + restr = tsolve(Jxi, eforce.reshape(p.shape)) + # + Frestr = state.Frestr.at[I_xi].add(restr) + + return FMetaDABFState( + xi, + bias, + *partial_state[1:-1], + I_xi, + Wp, + state.Wp, + force, + Fsum, + Frestr, + hist, + ncalls, + perp + ) + + return snapshot, initialize, generalize(update, helpers, jit_compile=True) + + +def build_gaussian_accumulator(method: Funnel_MetaDABF): + """ + Returns a function that given a `FMetaDABFState`, and the value of the CV, + stores the next Gaussian that is added to the biasing potential. + """ + periods = get_periods(method.cvs) + height_0 = method.height + deltaT = method.deltaT + grid = method.grid + kB = method.kB + + if deltaT is None: + next_height = jit(lambda *args: height_0) + else: # if well-tempered + if grid is None: + evaluate_potential = jit(lambda pstate: sum_of_gaussians(*pstate[:4], periods)) + else: + evaluate_potential = jit(lambda pstate: pstate.grid_potential[pstate.grid_idx]) + + def next_height(pstate): + V = evaluate_potential(pstate) + return height_0 * np.exp(-V / (deltaT * kB)) + + if grid is None: + get_grid_index = jit(lambda arg: None) + update_grids = jit(lambda *args: (None, None)) + should_deposit = jit(lambda pred, _: pred) + else: + grid_mesh = (compute_mesh(grid) + 1) * (grid.size / 2) + grid.lower + get_grid_index = build_indexer(grid) + # Reshape so the dimensions are compatible + accum = jit(lambda total, val: total + val.reshape(total.shape)) + + if deltaT is None: + transform = grad + pack = jit(lambda x: (x,)) + # No need to accumulate values for the potential (V is None) + update = jit(lambda V, dV, vals: (V, accum(dV, vals))) + else: + transform = value_and_grad + pack = identity + update = jit(lambda V, dV, vals, grads: (accum(V, vals), accum(dV, grads))) + + def update_grids(pstate, height, xi, sigma): + # We use `sum_of_gaussians` since it already takes care of the wrapping + current_gaussian = jit(lambda x: sum_of_gaussians(x, height, xi, sigma, periods)) + # Evaluate gradient of bias (and bias potential for WT version) + grid_values = pack(vmap(transform(current_gaussian))(grid_mesh)) + return update(pstate.grid_potential, pstate.grid_gradient, *grid_values) + + def should_deposit(in_deposition_step, I_xi): + in_bounds = ~(np.any(np.array(I_xi) == grid.shape)) + return in_deposition_step & in_bounds + + def deposit_gaussian(pstate): + xi, idx = pstate.xi, pstate.idx + current_height = next_height(pstate) + heights = pstate.heights.at[idx].set(current_height) + centers = pstate.centers.at[idx].set(xi.flatten()) + sigmas = pstate.sigmas + grid_potential, grid_gradient = update_grids(pstate, current_height, xi, sigmas) + return PartialMetadynamicsState( + xi, heights, centers, sigmas, grid_potential, grid_gradient, idx + 1, pstate.grid_idx + ) + + def _deposit_gaussian(xi, state, in_deposition_step): + I_xi = get_grid_index(xi) + pstate = PartialMetadynamicsState(xi, *state[2:-9], I_xi) + predicate = should_deposit(in_deposition_step, I_xi) + return cond(predicate, deposit_gaussian, identity, pstate) + + return _deposit_gaussian + + +def build_bias_grad_evaluator(method: Funnel_MetaDABF): + """ + Returns a function that given the deposited Gaussians parameters, computes the + gradient of the biasing potential with respect to the CVs. + """ + grid = method.grid + restraints = method.restraints + if grid is None: + periods = get_periods(method.cvs) + evaluate_bias_grad = jit(lambda pstate: grad(sum_of_gaussians)(*pstate[:4], periods)) + else: + if restraints: + + def ob_force(pstate): # out-of-bounds force + lo, hi, kl, kh = restraints + xi, *_ = pstate + xi = pstate.xi.reshape(grid.shape.size) + force = apply_restraints(lo, hi, kl, kh, xi) + return force + + else: + + def ob_force(pstate): # out-of-bounds force + return np.zeros(grid.shape.size) + + def get_force(pstate): + return pstate.grid_gradient[pstate.grid_idx] + + def evaluate_bias_grad(pstate): + ob = np.any(np.array(pstate.grid_idx) == grid.shape) # out of bounds + return cond(ob, ob_force, get_force, pstate) + + return evaluate_bias_grad + + +# Helper function to evaluate bias potential -- may be moved to analysis part +def sum_of_gaussians(xi, heights, centers, sigmas, periods): + """ + Sum of n-dimensional Gaussians potential. + """ + delta_x = wrap(xi - centers, periods) + return gaussian(heights, sigmas, delta_x).sum() + + +@dispatch +def analyze(result: Result[Funnel_MetaDABF], **kwargs): + """ + Computes the free energy from the result of an `Funnel_MetaDABF` run. + Integrates the forces via a gradient learning strategy. + + Parameters + ---------- + + result: Result[Funnel_ABF]: + Result bundle containing method, final ABF state, and callback. + + topology: Optional[Tuple[int]] = (8, 8) + Defines the architecture of the neural network + (number of nodes in each hidden layer). + + Returns + ------- + + dict: + A dictionary with the following keys: + + histogram: JaxArray + Histogram for the states visited during the method. + + mean_force: JaxArray + Average force at each bin of the CV grid. + + free_energy: JaxArray + Free Energy at each bin of the CV grid. + + mesh: JaxArray + Grid used in the method. + + fes_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy in the + CV domain defined by the grid. + + corrected_force: JaxArray + Average mean force without restraint at each bin of the CV grid. + + corrected_energy: JaxArray + Free Energy without restraint at each bin of the CV grid. + + corr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy without restraints + in the CV domain defined by the grid. + + restraint_force: JaxArray + Average mean force of the restraints at each bin of the CV grid. + + restraint_energy: JaxArray + Free Energy of the restraints at each bin of the CV grid. + + restr_fn: Callable[[JaxArray], JaxArray] + Function that allows to interpolate the free energy of the restraints + in the CV domain defined by the grid. + + + + NOTE: + For multiple-replicas runs we return a list (one item per-replica) + for each attribute. + """ + topology = kwargs.get("topology", (8, 8)) + _result = _funnelanalyze(result, GradientLearning(), topology) + return numpyfy_vals(_result)