|
| 1 | +## \file |
| 2 | +## \ingroup tutorial_dataframe |
| 3 | +## \notebook -draw |
| 4 | +## The Higgs to four lepton analysis from the ATLAS Open Data release of 2020, with RDataFrame. |
| 5 | +## |
| 6 | +## This tutorial is a continuation of the HiggsToFourLeptons tutorial. |
| 7 | +## We will build a model to classify the data as Higgs or not Higgs. |
| 8 | +## |
| 9 | +## |
| 10 | +## \macro_image |
| 11 | +## \macro_code |
| 12 | +## \macro_output |
| 13 | +## |
| 14 | +## \date June 2026 |
| 15 | +## \authors Jonah Ascoli (CERN), Martin Foll (CERN), Silia Taider (CERN) |
| 16 | + |
| 17 | +import matplotlib.pyplot as plt |
| 18 | +import ROOT |
| 19 | +import sklearn.metrics as skl |
| 20 | +import torch |
| 21 | +from torch import nn |
| 22 | +from tqdm import tqdm |
| 23 | + |
| 24 | +data_dir = ROOT.gROOT.GetTutorialDir().Data() + "/machine_learning/data/" |
| 25 | +df_train = ROOT.RDataFrame("tree", data_dir + "ml_dataloader_Higgs_Classification_train.root") |
| 26 | +df_val = ROOT.RDataFrame("tree", data_dir + "ml_dataloader_Higgs_Classification_val.root") |
| 27 | +df_test = ROOT.RDataFrame("tree", data_dir + "ml_dataloader_Higgs_Classification_test.root") |
| 28 | + |
| 29 | + |
| 30 | +# Classifier model with adjustable hidden layers |
| 31 | +class Classifier(nn.Module): |
| 32 | + def __init__( |
| 33 | + self, |
| 34 | + num_features: int, |
| 35 | + hidden_layers: list[int], |
| 36 | + p: float = 0.2, |
| 37 | + use_dropout: bool = False, |
| 38 | + use_batchnorm: bool = True, |
| 39 | + ): |
| 40 | + super().__init__() |
| 41 | + |
| 42 | + layers = [] |
| 43 | + in_dim = num_features |
| 44 | + |
| 45 | + for out_dim in hidden_layers: |
| 46 | + block = [nn.Linear(in_dim, out_dim)] |
| 47 | + |
| 48 | + if use_batchnorm: |
| 49 | + block.append(nn.BatchNorm1d(out_dim)) |
| 50 | + |
| 51 | + block.append(nn.ReLU()) |
| 52 | + |
| 53 | + if use_dropout: |
| 54 | + block.append(nn.Dropout(p)) |
| 55 | + |
| 56 | + layers.append(nn.Sequential(*block)) |
| 57 | + in_dim = out_dim |
| 58 | + |
| 59 | + self.hidden = nn.Sequential(*layers) |
| 60 | + self.output_layer = nn.Linear(in_dim, 1) |
| 61 | + |
| 62 | + def forward(self, x): |
| 63 | + x = self.hidden(x) |
| 64 | + x = self.output_layer(x) |
| 65 | + return torch.sigmoid(x) |
| 66 | + |
| 67 | + |
| 68 | +batch_size = 1000 |
| 69 | +batches_in_memory = 1000 |
| 70 | +drop_remainder = True |
| 71 | +columns = ["m4l", "good_lep", "goodlep_E", "goodlep_eta", "goodlep_phi", "goodlep_pt", "goodlep_type", "isHiggsRef"] |
| 72 | +target = "isHiggsRef" |
| 73 | +max_vec_sizes = {"good_lep": 4, "goodlep_E": 4, "goodlep_eta": 4, "goodlep_phi": 4, "goodlep_pt": 4, "goodlep_type": 4} |
| 74 | +shuffle = True |
| 75 | +set_seed = 42 |
| 76 | + |
| 77 | +# Normalize the data! |
| 78 | +for var in tqdm(columns[:-1], desc="Normalizing the training data..."): |
| 79 | + if var == "m4l": # The only non-vector column |
| 80 | + mean = df_train.Mean(var).GetValue() |
| 81 | + stddev = df_train.StdDev(var).GetValue() |
| 82 | + df_train = df_train.Redefine(var, f"({var} - {mean}) / {stddev}") |
| 83 | + # The validation and testing data should be normalized based on the |
| 84 | + # mean and standard deviation calculated from the training data. |
| 85 | + df_val = df_val.Redefine(var, f"({var} - {mean}) / {stddev}") |
| 86 | + df_test = df_test.Redefine(var, f"({var} - {mean}) / {stddev}") |
| 87 | + else: |
| 88 | + # Each vector event has 4 columns, and we need to take a column-wise mean and stddev |
| 89 | + means = [] |
| 90 | + stddevs = [] |
| 91 | + for i in range(max_vec_sizes[var]): |
| 92 | + scalar_column = f"{var}_{i}" |
| 93 | + df_train = df_train.Define(scalar_column, f"{var}[{i}]") |
| 94 | + means.append(df_train.Mean(scalar_column).GetValue()) |
| 95 | + stddevs.append(df_train.StdDev(scalar_column).GetValue()) |
| 96 | + mean_vec = ROOT.RVec("double")(means) |
| 97 | + stddev_vec = ROOT.RVec("double")(stddevs) |
| 98 | + for i in range(len(stddevs)): |
| 99 | + if stddevs[i] == 0: |
| 100 | + stddevs[i] = 0.01 # Avoids division by 0 |
| 101 | + expr = ", ".join(f"(({var}[{i}] - {means[i]}) / {stddevs[i]})" for i in range(max_vec_sizes[var])) |
| 102 | + df_train = df_train.Redefine(var, f"ROOT::RVec<double>{{{expr}}}") |
| 103 | + # The validation and testing data should be normalized based on the |
| 104 | + # mean and standard deviation calculated from the training data. |
| 105 | + df_val = df_val.Redefine(var, f"ROOT::RVec<double>{{{expr}}}") |
| 106 | + df_test = df_test.Redefine(var, f"ROOT::RVec<double>{{{expr}}}") |
| 107 | + |
| 108 | +train = ROOT.Experimental.ML.RDataLoader( |
| 109 | + df_train, |
| 110 | + batch_size=batch_size, |
| 111 | + batches_in_memory=batches_in_memory, |
| 112 | + drop_remainder=drop_remainder, |
| 113 | + columns=columns, |
| 114 | + target=target, |
| 115 | + max_vec_sizes=max_vec_sizes, |
| 116 | + shuffle=shuffle, |
| 117 | + set_seed=set_seed, |
| 118 | +) |
| 119 | +val = ROOT.Experimental.ML.RDataLoader( |
| 120 | + df_val, |
| 121 | + batch_size=batch_size, |
| 122 | + batches_in_memory=batches_in_memory, |
| 123 | + drop_remainder=drop_remainder, |
| 124 | + columns=columns, |
| 125 | + target=target, |
| 126 | + max_vec_sizes=max_vec_sizes, |
| 127 | + shuffle=shuffle, |
| 128 | + set_seed=set_seed, |
| 129 | +) |
| 130 | +test = ROOT.Experimental.ML.RDataLoader( |
| 131 | + df_test, |
| 132 | + batch_size=batch_size, |
| 133 | + batches_in_memory=batches_in_memory, |
| 134 | + drop_remainder=drop_remainder, |
| 135 | + columns=columns, |
| 136 | + target=target, |
| 137 | + max_vec_sizes=max_vec_sizes, |
| 138 | + shuffle=shuffle, |
| 139 | + set_seed=set_seed, |
| 140 | +) |
| 141 | + |
| 142 | + |
| 143 | +num_features = sum(max_vec_sizes.values()) + len([0 for i in train.train_columns if i not in max_vec_sizes]) |
| 144 | +# Must be calculated manually since columns is not yet expanded |
| 145 | + |
| 146 | +torch.manual_seed(set_seed) |
| 147 | +hidden_layers = [60, 60] |
| 148 | +model = Classifier(num_features=num_features, hidden_layers=hidden_layers, p=0.2, use_dropout=False) |
| 149 | +loss_fn = nn.BCELoss() |
| 150 | +optimizer = torch.optim.SGD(model.parameters(), lr=0.01, momentum=0.9) |
| 151 | + |
| 152 | +epochs = 1000 |
| 153 | +last_val_losses = [float("inf")] * 6 |
| 154 | +# Early stopping criterion: most recent 3 avg. losses are worse than the 3 before that |
| 155 | +avg_val_losses = [] |
| 156 | +pbar = tqdm(range(epochs), desc="Initializing training...") |
| 157 | +for epoch in pbar: |
| 158 | + # training |
| 159 | + model.train() |
| 160 | + |
| 161 | + for i, (x_train, y_train) in enumerate(train.as_torch()): |
| 162 | + outputs = model(x_train) |
| 163 | + loss = loss_fn(outputs, y_train) |
| 164 | + |
| 165 | + optimizer.zero_grad() |
| 166 | + loss.backward() |
| 167 | + optimizer.step() |
| 168 | + |
| 169 | + # validation |
| 170 | + model.eval() |
| 171 | + val_loss = 0 |
| 172 | + val_correct = 0 |
| 173 | + val_total = 0 |
| 174 | + |
| 175 | + with torch.no_grad(): |
| 176 | + for j, (x_val, y_val) in enumerate(val.as_torch()): |
| 177 | + outputs = model(x_val) |
| 178 | + loss = loss_fn(outputs, y_val) |
| 179 | + val_loss += loss.item() |
| 180 | + |
| 181 | + preds = (outputs > 0.5).float() |
| 182 | + val_correct += (preds == y_val).sum().item() |
| 183 | + val_total += y_val.size(0) |
| 184 | + |
| 185 | + avg_val_loss = val_loss / (j + 1) |
| 186 | + pbar.set_description(f"Avg. val loss: {avg_val_loss}") |
| 187 | + avg_val_losses.append(avg_val_loss) |
| 188 | + val_accuracy = val_correct / val_total |
| 189 | + del last_val_losses[0] |
| 190 | + last_val_losses.append(avg_val_loss) |
| 191 | + # Early stopping check |
| 192 | + if min(last_val_losses[-3:]) > max(last_val_losses[:3]): |
| 193 | + print(f"Validation loss has not improved for 6 epochs, stopping training after {epoch + 1} epochs.") |
| 194 | + epochs = epoch + 1 |
| 195 | + break |
| 196 | + |
| 197 | +# Testing |
| 198 | +model.eval() |
| 199 | +test_loss = 0 |
| 200 | +test_correct = 0 |
| 201 | +test_total = 0 |
| 202 | + |
| 203 | +test_preds = [] |
| 204 | +test_true = [] |
| 205 | +with torch.no_grad(): |
| 206 | + for j, (x_test, y_test) in enumerate(test.as_torch()): |
| 207 | + outputs = model(x_test) |
| 208 | + loss = loss_fn(outputs, y_test) |
| 209 | + test_loss += loss.item() |
| 210 | + test_preds += outputs |
| 211 | + test_true += y_test |
| 212 | + |
| 213 | + preds = (outputs > 0.5).float() |
| 214 | + test_correct += (preds == y_test).sum().item() |
| 215 | + test_total += y_test.size(0) |
| 216 | + |
| 217 | +avg_test_loss = test_loss / (j + 1) |
| 218 | +test_accuracy = test_correct / test_total |
| 219 | + |
| 220 | +print(f"Testing Loss: {avg_test_loss:.4f} Accuracy: {test_accuracy:.4f}\n") |
| 221 | + |
| 222 | +# Analysis |
| 223 | +fig = plt.figure() |
| 224 | +ax = plt.axes() |
| 225 | +ax.plot([i for i in range(epochs)], avg_val_losses) |
| 226 | +plt.title("Loss curve") |
| 227 | +plt.xlabel("Epoch") |
| 228 | +plt.ylabel("Validation loss") |
| 229 | +plt.savefig("loss_curve") |
| 230 | + |
| 231 | +fpr, tpr, thresholds = skl.roc_curve(test_true, test_preds) |
| 232 | +fig = plt.figure() |
| 233 | +ax = plt.axes() |
| 234 | +ax.plot(fpr[:-1], tpr[:-1]) |
| 235 | +plt.title("ROC curve") |
| 236 | +plt.xlabel("False positive rate") |
| 237 | +plt.ylabel("True positive rate") |
| 238 | +plt.savefig("ROC_curve") |
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