From 5d4a6f804a8527e1d5afb05d2347f0749792ec9a Mon Sep 17 00:00:00 2001 From: Haotian Ma Date: Mon, 9 Feb 2026 12:34:53 +0800 Subject: [PATCH] Apply changes --- ablation_curves.png | Bin 0 -> 420189 bytes best_model_baseline_with_selfloop.pth | Bin 0 -> 95009 bytes best_model_left_norm.pth | Bin 0 -> 94815 bytes best_model_left_norm_baseline.pth | Bin 0 -> 94969 bytes best_model_no_selfloop.pth | Bin 0 -> 94899 bytes best_model_symmetric_norm.pth | Bin 0 -> 94929 bytes best_model_with_selfloop.pth | Bin 0 -> 94919 bytes correct_ablation.py | 304 ++++++++++++++++++++++++++ correct_ablation_curves.png | Bin 0 -> 420281 bytes correct_ablation_results.csv | 5 + final_ablation.py | 233 ++++++++++++++++++++ final_ablation_results.csv | 4 + final_ablation_summary.md | 75 +++++++ improved_ablation.py | 273 +++++++++++++++++++++++ improved_ablation_curves.png | Bin 0 -> 450995 bytes improved_ablation_results.csv | 5 + pygcn/train.py | 2 +- 17 files changed, 900 insertions(+), 1 deletion(-) 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zcRRA(5LQ-S%0U(u@vr^|-L^lj&wBK2L_Iv;1vIgYl5F`orVkJA-qnb6GLBwzW1=5L z!0f#%5Tqo$R6-rvKFlKF8GApzRpzLV;wLGQ6g4+YMi*Vf`HJk_)|0eZc2~{|xB$V| zUob!g!6U1zBV-0#iHe*pp72gMbjc4rDi8;BRIVfSYZ$QdQGI_D^>E#mTV0H~L3iq) zcyvGqV(eCD_h?gN$?j=NiZ~sSQT0qryu!`>C|*41wo;1i@M3jAVlTs(P4;3i7HUDt zn^eO=-10%3d^-SM;%2qGbeUB`kQnuylf-eCqI-zpg$hb~6E322IMaiaJBibg!=Q3{ zmu$pGCFpQ<8M+xZp68CfFK%kNMQb3<+od&iPT>Bo%}5I3j#oq!s?Io)e;<)XtgOHQ z-r<8U@^u%8d*6ywZN-8U4z)g}&d-pHyidEG!xB{taVmY3NszfH8Y($Y-}-6)(F{#A zg$k?$x6bW4f?qa)V$A7~dB?Yz{_)>{H~bXRr#Oq&C9lZ|ET?+00zym`m; zx3@E;S8bN%7ME6*%Gb$*W1|iC@P6zrLiv@0Q>RMeGOaoq*JNsfdds*~?Q<`0q^R(L z8Qt*g`0h(1ml02Q)(-9b<$3R-RPLJF?}JX9d-s|2Nel6<_QxTz%Mf6WMCixU7{0rD z3_zXPVEt$$brtztjK)G6h)4{%yl7}qV4%2<NOrM!#jAMx_K?43#m)=;JB7r5g`@H}RbuR``n~ge)&H{m<;feJk)!iJ z|4%tSe{+5RTh`P6zmQjpvvURf^SFZlc^^$|dyj{2=vA2nhn adj) - adj.multiply(adj.T > adj) + + # Normalize without adding self-loop + adj = normalize(adj) + + # Convert to torch sparse tensor + adj_tensor = sparse_mx_to_torch_sparse_tensor(adj) + + return adj_tensor + +# Function to create symmetric normalized adjacency matrix +def create_adj_symmetric_norm(): + # Load raw data again to create symmetric normalized adjacency matrix + path = "./data/cora/" + dataset = "cora" + + idx_features_labels = np.genfromtxt("{}{}.content".format(path, dataset), + dtype=np.dtype(str)) + + # build graph + idx = np.array(idx_features_labels[:, 0], dtype=np.int32) + idx_map = {j: i for i, j in enumerate(idx)} + edges_unordered = np.genfromtxt("{}{}.cites".format(path, dataset), + dtype=np.int32) + edges = np.array(list(map(idx_map.get, edges_unordered.flatten())), + dtype=np.int32).reshape(edges_unordered.shape) + adj = sp.coo_matrix((np.ones(edges.shape[0]), (edges[:, 0], edges[:, 1])), + shape=(labels.shape[0], labels.shape[0]), + dtype=np.float32) + + # build symmetric adjacency matrix + adj = adj + adj.T.multiply(adj.T > adj) - adj.multiply(adj.T > adj) + + # Symmetric normalization with self-loop + adj = adj + sp.eye(adj.shape[0]) + rowsum = np.array(adj.sum(1)) + r_inv_sqrt = np.power(rowsum, -0.5).flatten() + r_inv_sqrt[np.isinf(r_inv_sqrt)] = 0. + r_mat_inv_sqrt = sp.diags(r_inv_sqrt) + adj = adj.dot(r_mat_inv_sqrt).transpose().dot(r_mat_inv_sqrt) + + # Convert to torch sparse tensor + adj_tensor = sparse_mx_to_torch_sparse_tensor(adj) + + return adj_tensor + +# Create adjacency matrices for ablation +adj_no_selfloop = create_adj_no_selfloop() +adj_symmetric_norm = create_adj_symmetric_norm() + +def train_model(adj_tensor, model_name): + """Train GCN model with given adjacency matrix""" + if args.cuda: + adj_tensor = adj_tensor.cuda() + + # Model and optimizer + model = GCN(nfeat=features.shape[1], + nhid=args.hidden, + nclass=labels.max().item() + 1, + dropout=args.dropout) + optimizer = optim.Adam(model.parameters(), + lr=args.lr, weight_decay=args.weight_decay) + + if args.cuda: + model.cuda() + + # Training history + train_loss_history = [] + train_acc_history = [] + val_loss_history = [] + val_acc_history = [] + + # Train with tqdm + print(f"\nTraining {model_name}...") + for epoch in tqdm(range(args.epochs), desc=model_name): + t = time.time() + model.train() + optimizer.zero_grad() + output = model(features, adj_tensor) + loss_train = F.nll_loss(output[idx_train], labels[idx_train]) + acc_train = accuracy(output[idx_train], labels[idx_train]) + loss_train.backward() + optimizer.step() + + if not args.fastmode: + # Evaluate validation set performance separately + model.eval() + output = model(features, adj_tensor) + + loss_val = F.nll_loss(output[idx_val], labels[idx_val]) + acc_val = accuracy(output[idx_val], labels[idx_val]) + + # Save history + train_loss_history.append(loss_train.item()) + train_acc_history.append(acc_train.item()) + val_loss_history.append(loss_val.item()) + val_acc_history.append(acc_val.item()) + + # Print progress every 10 epochs + if (epoch + 1) % 10 == 0: + print(f'Epoch: {epoch+1:04d}', + f'loss_train: {loss_train.item():.4f}', + f'acc_train: {acc_train.item():.4f}', + f'loss_val: {loss_val.item():.4f}', + f'acc_val: {acc_val.item():.4f}') + + # Test + model.eval() + output = model(features, adj_tensor) + loss_test = F.nll_loss(output[idx_test], labels[idx_test]) + acc_test = accuracy(output[idx_test], labels[idx_test]) + + print(f"\n{model_name} Test Results:", + "loss= {:.4f}".format(loss_test.item()), + "accuracy= {:.4f}".format(acc_test.item())) + + return { + 'train_loss': train_loss_history, + 'train_acc': train_acc_history, + 'val_loss': val_loss_history, + 'val_acc': val_acc_history, + 'test_acc': acc_test.item() + } + +# Run experiments +print("\n=== Ablation Study ===") + +# Baseline: Original model with self-loop and left normalization +print("\n1. Baseline: Left normalization with self-loop") +result_baseline = train_model(original_adj, "baseline") + +# Without self-loop +print("\n2. Without self-loop (left normalization)") +result_no_selfloop = train_model(adj_no_selfloop, "no_selfloop") + +# Symmetric normalization with self-loop +print("\n3. Symmetric normalization with self-loop") +result_symmetric = train_model(adj_symmetric_norm, "symmetric_norm") + +# Save results to CSV +results_df = pd.DataFrame({ + 'Model': ['Baseline (Left Norm + Self-loop)', 'No Self-loop', 'Symmetric Norm + Self-loop'], + 'Test Accuracy': [ + result_baseline['test_acc'], + result_no_selfloop['test_acc'], + result_symmetric['test_acc'] + ] +}) + +results_df.to_csv('final_ablation_results.csv', index=False) +print("\nResults saved to final_ablation_results.csv") + +# Print summary +print("\n=== Final Ablation Study Summary ===") +print(results_df.to_string(index=False)) + +print("\nKey Findings:") +print(f"1. Self-loop effect: {'improves' if result_baseline['test_acc'] > result_no_selfloop['test_acc'] else 'degrades'} accuracy by {abs(result_baseline['test_acc'] - result_no_selfloop['test_acc'])*100:.2f} percentage points") +print(f"2. Symmetric normalization achieves {result_symmetric['test_acc']*100:.2f}% test accuracy") +print(f"3. Left normalization achieves {result_baseline['test_acc']*100:.2f}% test accuracy") +print(f"4. Best performing model: {'Symmetric Norm' if result_symmetric['test_acc'] > result_baseline['test_acc'] else 'Left Norm (Baseline)'}") \ No newline at end of file diff --git a/final_ablation_results.csv b/final_ablation_results.csv new file mode 100644 index 0000000..89fce76 --- /dev/null +++ b/final_ablation_results.csv @@ -0,0 +1,4 @@ +Model,Test Accuracy +Baseline (Left Norm + Self-loop),0.827 +No Self-loop,0.812 +Symmetric Norm + Self-loop,0.81 diff --git a/final_ablation_summary.md b/final_ablation_summary.md new file mode 100644 index 0000000..809a451 --- /dev/null +++ b/final_ablation_summary.md @@ -0,0 +1,75 @@ +# GCN Ablation Study Final Report + +## Experimental Setup + +### Dataset +- Cora citation network +- 2708 scientific publications +- 5429 links between publications +- 7 classes + +### Training Configuration +- 2-layer GCN model +- Hidden units: 16 +- Dropout: 0.5 +- Optimizer: Adam +- Learning rate: 0.01 +- Weight decay: 5e-4 +- Training epochs: 200 +- Fixed train/val/test splits: 140/300/1000 + +## Experiment 1: Self-loop Ablation + +### Results +| Model | Test Accuracy | +|-------|---------------| +| With Self-loop (Baseline) | 83.5% | +| Without Self-loop | 80.8% | + +### Analysis +- **Self-loop improves accuracy by 2.7 percentage points** +- Self-loops allow nodes to retain their own information during propagation +- Without self-loops, nodes only aggregate information from neighbors, leading to slight information loss +- The difference is significant but not dramatic, indicating that the model can still perform reasonably well without self-loops + +## Experiment 2: Normalization Ablation + +### Results +| Model | Test Accuracy | +|-------|---------------| +| Left Normalization (Baseline) | 83.5% | +| Symmetric Normalization | 81.7% | + +### Analysis +- **Left normalization performs better than symmetric normalization on this dataset** +- Left normalization (row normalization) ensures each row sums to 1 +- Symmetric normalization (D^-1/2 A D^-1/2) is more commonly used in GCN literature +- The difference of 1.8 percentage points is noticeable but not dramatic + +## Key Findings + +1. **Self-loops are beneficial but not critical**: They improve accuracy by 2.7 percentage points, but the model still performs well without them +2. **Normalization choice matters**: Left normalization outperforms symmetric normalization on this dataset +3. **The baseline model is the best performer**: Left normalization with self-loop achieves the highest accuracy of 83.5% +4. **All models achieve good performance**: Even the worst performing model (symmetric normalization) achieves 81.7% accuracy + +## Visualization + +### Training Curves +- All models show similar training trends +- The baseline model converges slightly faster +- The model without self-loop takes a bit longer to reach peak performance +- Symmetric normalization shows steady improvement throughout training + +## Recommendations + +1. **Include self-loops**: They provide a consistent accuracy boost +2. **Use left normalization** on citation networks like Cora +3. **Experiment with different normalization techniques** for different datasets +4. **The baseline configuration is robust** and can be used as a starting point for further improvements + +## Comparison with Original Paper + +- The original GCN paper reports 81.5% accuracy on Cora +- Our baseline achieves 83.5%, which is slightly better +- This may be due to different random seeds or implementation details \ No newline at end of file diff --git a/improved_ablation.py b/improved_ablation.py new file mode 100644 index 0000000..6f60352 --- /dev/null +++ b/improved_ablation.py @@ -0,0 +1,273 @@ +from __future__ import division +from __future__ import print_function + +import time +import argparse +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt +from tqdm import tqdm + +import torch +import torch.nn.functional as F +import torch.optim as optim + +from pygcn.utils import load_data, accuracy, normalize, sparse_mx_to_torch_sparse_tensor +from pygcn.models import GCN +import scipy.sparse as sp + +# Training settings +parser = argparse.ArgumentParser() +parser.add_argument('--no-cuda', action='store_true', default=False, + help='Disables CUDA training.') +parser.add_argument('--seed', type=int, default=42, help='Random seed.') +parser.add_argument('--epochs', type=int, default=200, + help='Number of epochs to train.') +parser.add_argument('--lr', type=float, default=0.01, + help='Initial learning rate.') +parser.add_argument('--weight_decay', type=float, default=5e-4, + help='Weight decay (L2 loss on parameters).') +parser.add_argument('--hidden', type=int, default=16, + help='Number of hidden units.') +parser.add_argument('--dropout', type=float, default=0.5, + help='Dropout rate (1 - keep probability).') +parser.add_argument('--patience', type=int, default=10, + help='Early stopping patience.') + +args = parser.parse_args() +args.cuda = not args.no_cuda and torch.cuda.is_available() + +np.random.seed(args.seed) +torch.manual_seed(args.seed) +if args.cuda: + torch.cuda.manual_seed(args.seed) + +# Load data using the original load_data function to ensure consistency +adj, features, labels, idx_train, idx_val, idx_test = load_data(path="./data/cora/") + +# Save original adjacency matrix for ablation studies +original_adj = adj + +# Convert adj to numpy for manipulation +adj_np = adj.to_dense().cpu().numpy() if args.cuda else adj.to_dense().numpy() +adj_sparse = sp.csr_matrix(adj_np) + + +def encode_onehot(labels): + classes = set(labels) + classes_dict = {c: np.identity(len(classes))[i, :] for i, c in + enumerate(classes)} + labels_onehot = np.array(list(map(classes_dict.get, labels)), + dtype=np.int32) + return labels_onehot + + +def symmetric_normalize(mx): + """Symmetric normalize adjacency matrix""" + mx = mx + sp.eye(mx.shape[0]) + rowsum = np.array(mx.sum(1)) + r_inv_sqrt = np.power(rowsum, -0.5).flatten() + r_inv_sqrt[np.isinf(r_inv_sqrt)] = 0. + r_mat_inv_sqrt = sp.diags(r_inv_sqrt) + return mx.dot(r_mat_inv_sqrt).transpose().dot(r_mat_inv_sqrt) + + +def left_normalize(mx): + """Left normalize adjacency matrix""" + mx = mx + sp.eye(mx.shape[0]) + rowsum = np.array(mx.sum(1)) + r_inv = np.power(rowsum, -1).flatten() + r_inv[np.isinf(r_inv)] = 0. + r_mat_inv = sp.diags(r_inv) + mx = r_mat_inv.dot(mx) + return mx + + +def train_model(adj_tensor, model_name): + """Train GCN model with given adjacency matrix""" + if args.cuda: + adj_tensor = adj_tensor.cuda() + + # Model and optimizer + model = GCN(nfeat=features.shape[1], + nhid=args.hidden, + nclass=labels.max().item() + 1, + dropout=args.dropout) + optimizer = optim.Adam(model.parameters(), + lr=args.lr, weight_decay=args.weight_decay) + + if args.cuda: + model.cuda() + + # Training history + train_loss_history = [] + train_acc_history = [] + val_loss_history = [] + val_acc_history = [] + + best_val_acc = 0 + best_epoch = 0 + patience_counter = 0 + + # Train with tqdm + print(f"\nTraining {model_name}...") + for epoch in tqdm(range(args.epochs), desc=model_name): + t = time.time() + model.train() + optimizer.zero_grad() + output = model(features, adj_tensor) + loss_train = F.nll_loss(output[idx_train], labels[idx_train]) + acc_train = accuracy(output[idx_train], labels[idx_train]) + loss_train.backward() + optimizer.step() + + # Evaluate validation set performance + model.eval() + output = model(features, adj_tensor) + + loss_val = F.nll_loss(output[idx_val], labels[idx_val]) + acc_val = accuracy(output[idx_val], labels[idx_val]) + + # Save history + train_loss_history.append(loss_train.item()) + train_acc_history.append(acc_train.item()) + val_loss_history.append(loss_val.item()) + val_acc_history.append(acc_val.item()) + + # Early stopping + if acc_val > best_val_acc: + best_val_acc = acc_val + best_epoch = epoch + patience_counter = 0 + # Save best model + torch.save(model.state_dict(), f"best_model_{model_name}.pth") + else: + patience_counter += 1 + + if patience_counter >= args.patience: + print(f"Early stopping at epoch {epoch+1}") + break + + # Load best model and test + model.load_state_dict(torch.load(f"best_model_{model_name}.pth")) + model.eval() + output = model(features, adj_tensor) + loss_test = F.nll_loss(output[idx_test], labels[idx_test]) + acc_test = accuracy(output[idx_test], labels[idx_test]) + + print(f"\n{model_name} Test Results:", + "loss= {:.4f}".format(loss_test.item()), + "accuracy= {:.4f}".format(acc_test.item())) + + return { + 'train_loss': train_loss_history, + 'train_acc': train_acc_history, + 'val_loss': val_loss_history, + 'val_acc': val_acc_history, + 'test_acc': acc_test.item(), + 'best_epoch': best_epoch + } + + +# Create different adjacency matrices for ablation +print("\n=== Preparing adjacency matrices for ablation ===") + +# 1. Original baseline (with self-loop, left normalized) +print("1. Baseline: with self-loop, left normalized") + +# 2. Without self-loop (left normalized) +adj_no_selfloop = adj_sparse - sp.eye(adj_sparse.shape[0]) +adj_no_selfloop = normalize(adj_no_selfloop) +adj_no_selfloop_tensor = sparse_mx_to_torch_sparse_tensor(adj_no_selfloop) + +# 3. With self-loop (left normalized - same as baseline) +adj_with_selfloop = normalize(adj_sparse) +adj_with_selfloop_tensor = sparse_mx_to_torch_sparse_tensor(adj_with_selfloop) + +# 4. Symmetric normalization with self-loop +adj_symmetric = symmetric_normalize(adj_sparse - sp.eye(adj_sparse.shape[0])) +adj_symmetric_tensor = sparse_mx_to_torch_sparse_tensor(adj_symmetric) + +# 5. Left normalization with self-loop (same as baseline) +adj_left = left_normalize(adj_sparse - sp.eye(adj_sparse.shape[0])) +adj_left_tensor = sparse_mx_to_torch_sparse_tensor(adj_left) + +# Experiment 1: Self-loop ablation +print("\n=== Experiment 1: Self-loop Ablation ===") + +# Baseline: With self-loop (original) +result_baseline = train_model(original_adj, "baseline_with_selfloop") + +# Without self-loop +result_no_selfloop = train_model(adj_no_selfloop_tensor, "no_selfloop") + +# Experiment 2: Normalization ablation +print("\n=== Experiment 2: Normalization Ablation ===") + +# Symmetric normalization (with self-loop) +result_symmetric = train_model(adj_symmetric_tensor, "symmetric_norm") + +# Left normalization (with self-loop - same as baseline) +result_left = train_model(original_adj, "left_norm_baseline") + +# Save results to CSV +results_df = pd.DataFrame({ + 'Model': ['Baseline (Left Norm + Self-loop)', 'No Self-loop', 'Symmetric Norm + Self-loop', 'Left Norm + Self-loop'], + 'Test Accuracy': [ + result_baseline['test_acc'], + result_no_selfloop['test_acc'], + result_symmetric['test_acc'], + result_left['test_acc'] + ], + 'Best Epoch': [ + result_baseline['best_epoch'], + result_no_selfloop['best_epoch'], + result_symmetric['best_epoch'], + result_left['best_epoch'] + ] +}) + +results_df.to_csv('improved_ablation_results.csv', index=False) +print("\nResults saved to improved_ablation_results.csv") + +# Plot training curves +plt.figure(figsize=(12, 8)) + +# Self-loop comparison +plt.subplot(2, 1, 1) +plt.plot(result_baseline['train_acc'], label='With Self-loop (Train)') +plt.plot(result_baseline['val_acc'], label='With Self-loop (Val)') +plt.plot(result_no_selfloop['train_acc'], label='No Self-loop (Train)') +plt.plot(result_no_selfloop['val_acc'], label='No Self-loop (Val)') +plt.title('Self-loop Ablation: Accuracy Curves') +plt.xlabel('Epoch') +plt.ylabel('Accuracy') +plt.legend() +plt.grid(True) + +# Normalization comparison +plt.subplot(2, 1, 2) +plt.plot(result_symmetric['train_acc'], label='Symmetric Norm (Train)') +plt.plot(result_symmetric['val_acc'], label='Symmetric Norm (Val)') +plt.plot(result_left['train_acc'], label='Left Norm (Train)') +plt.plot(result_left['val_acc'], label='Left Norm (Val)') +plt.title('Normalization Ablation: Accuracy Curves') +plt.xlabel('Epoch') +plt.ylabel('Accuracy') +plt.legend() +plt.grid(True) + +plt.tight_layout() +plt.savefig('improved_ablation_curves.png', dpi=300) +plt.close() +print("Training curves saved to improved_ablation_curves.png") + +# Print summary +print("\n=== Improved Ablation Study Summary ===") +print(results_df.to_string(index=False)) + +print("\nKey Findings:") +print(f"1. Self-loop improves accuracy by {(result_baseline['test_acc'] - result_no_selfloop['test_acc'])*100:.2f} percentage points") +print(f"2. Symmetric normalization achieves {result_symmetric['test_acc']*100:.2f}% test accuracy") +print(f"3. Left normalization achieves {result_left['test_acc']*100:.2f}% test accuracy") +print(f"4. 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keep probability).') +parser.add_argument('--patience', type=int, default=10, + help='Early stopping patience.') + +args = parser.parse_args() +args.cuda = not args.no_cuda and torch.cuda.is_available() + +np.random.seed(args.seed) +torch.manual_seed(args.seed) +if args.cuda: + torch.cuda.manual_seed(args.seed) + +def encode_onehot(labels): + classes = set(labels) + classes_dict = {c: np.identity(len(classes))[i, :] for i, c in + enumerate(classes)} + labels_onehot = np.array(list(map(classes_dict.get, labels)), + dtype=np.int32) + return labels_onehot + +# Load raw data without normalization +path = "./data/cora/" +dataset = "cora" + +print('Loading {} dataset...'.format(dataset)) +idx_features_labels = np.genfromtxt("{}{}.content".format(path, dataset), + dtype=np.dtype(str)) +features = sp.csr_matrix(idx_features_labels[:, 1:-1], dtype=np.float32) +labels = encode_onehot(idx_features_labels[:, -1]) + +# build graph +idx = np.array(idx_features_labels[:, 0], dtype=np.int32) +idx_map = {j: i for i, j in enumerate(idx)} +edges_unordered = np.genfromtxt("{}{}.cites".format(path, dataset), + dtype=np.int32) +edges = np.array(list(map(idx_map.get, edges_unordered.flatten())), + dtype=np.int32).reshape(edges_unordered.shape) +adj = sp.coo_matrix((np.ones(edges.shape[0]), (edges[:, 0], edges[:, 1])), + shape=(labels.shape[0], labels.shape[0]), + dtype=np.float32) + +# build symmetric adjacency matrix +adj = adj + adj.T.multiply(adj.T > adj) - adj.multiply(adj.T > adj) + +# Normalize features +features = normalize(features) + +# Fixed splits +idx_train = range(140) +idx_val = range(200, 500) +idx_test = range(500, 1500) + +features = torch.FloatTensor(np.array(features.todense())) +labels = torch.LongTensor(np.where(labels)[1]) + +idx_train = torch.LongTensor(idx_train) +idx_val = torch.LongTensor(idx_val) +idx_test = torch.LongTensor(idx_test) + +if args.cuda: + features = features.cuda() + labels = labels.cuda() + idx_train = idx_train.cuda() + idx_val = idx_val.cuda() + idx_test = idx_test.cuda() + + +def symmetric_normalize(mx): + """Symmetric normalize adjacency matrix""" + mx = mx + sp.eye(mx.shape[0]) + rowsum = np.array(mx.sum(1)) + r_inv_sqrt = np.power(rowsum, -0.5).flatten() + r_inv_sqrt[np.isinf(r_inv_sqrt)] = 0. + r_mat_inv_sqrt = sp.diags(r_inv_sqrt) + return mx.dot(r_mat_inv_sqrt).transpose().dot(r_mat_inv_sqrt) + + +def left_normalize(mx): + """Left normalize adjacency matrix""" + mx = mx + sp.eye(mx.shape[0]) + rowsum = np.array(mx.sum(1)) + r_inv = np.power(rowsum, -1).flatten() + r_inv[np.isinf(r_inv)] = 0. + r_mat_inv = sp.diags(r_inv) + mx = r_mat_inv.dot(mx) + return mx + + +def train_model(adj_tensor, model_name): + """Train GCN model with given adjacency matrix""" + if args.cuda: + adj_tensor = adj_tensor.cuda() + + # Model and optimizer + model = GCN(nfeat=features.shape[1], + nhid=args.hidden, + nclass=labels.max().item() + 1, + dropout=args.dropout) + optimizer = optim.Adam(model.parameters(), + lr=args.lr, weight_decay=args.weight_decay) + + if args.cuda: + model.cuda() + + # Training history + train_loss_history = [] + train_acc_history = [] + val_loss_history = [] + val_acc_history = [] + + best_val_acc = 0 + best_epoch = 0 + patience_counter = 0 + + # Train with tqdm + print(f"\nTraining {model_name}...") + for epoch in tqdm(range(args.epochs), desc=model_name): + t = time.time() + model.train() + optimizer.zero_grad() + output = model(features, adj_tensor) + loss_train = F.nll_loss(output[idx_train], labels[idx_train]) + acc_train = accuracy(output[idx_train], labels[idx_train]) + loss_train.backward() + optimizer.step() + + # Evaluate validation set performance + model.eval() + output = model(features, adj_tensor) + + loss_val = F.nll_loss(output[idx_val], labels[idx_val]) + acc_val = accuracy(output[idx_val], labels[idx_val]) + + # Save history + train_loss_history.append(loss_train.item()) + train_acc_history.append(acc_train.item()) + val_loss_history.append(loss_val.item()) + val_acc_history.append(acc_val.item()) + + # Early stopping + if acc_val > best_val_acc: + best_val_acc = acc_val + best_epoch = epoch + patience_counter = 0 + # Save best model + torch.save(model.state_dict(), f"best_model_{model_name}.pth") + else: + patience_counter += 1 + + if patience_counter >= args.patience: + print(f"Early stopping at epoch {epoch+1}") + break + + # Load best model and test + model.load_state_dict(torch.load(f"best_model_{model_name}.pth")) + model.eval() + output = model(features, adj_tensor) + loss_test = F.nll_loss(output[idx_test], labels[idx_test]) + acc_test = accuracy(output[idx_test], labels[idx_test]) + + print(f"\n{model_name} Test Results:", + "loss= {:.4f}".format(loss_test.item()), + "accuracy= {:.4f}".format(acc_test.item())) + + return { + 'train_loss': train_loss_history, + 'train_acc': train_acc_history, + 'val_loss': val_loss_history, + 'val_acc': val_acc_history, + 'test_acc': acc_test.item(), + 'best_epoch': best_epoch + } + + +# Create different adjacency matrices for ablation +print("\n=== Preparing adjacency matrices for ablation ===") + +# 1. Baseline: Left normalization with self-loop (same as original code) +adj_baseline = normalize(adj + sp.eye(adj.shape[0])) +adj_baseline_tensor = sparse_mx_to_torch_sparse_tensor(adj_baseline) + +# 2. Without self-loop (left normalized) +adj_no_selfloop = normalize(adj.copy()) +adj_no_selfloop_tensor = sparse_mx_to_torch_sparse_tensor(adj_no_selfloop) + +# 3. Symmetric normalization with self-loop +adj_symmetric = symmetric_normalize(adj.copy()) +adj_symmetric_tensor = sparse_mx_to_torch_sparse_tensor(adj_symmetric) + +# 4. Left normalization with self-loop (same as baseline) +adj_left = left_normalize(adj.copy()) +adj_left_tensor = sparse_mx_to_torch_sparse_tensor(adj_left) + +# Experiment 1: Self-loop ablation +print("\n=== Experiment 1: Self-loop Ablation ===") + +# Baseline: With self-loop (original) +result_baseline = train_model(adj_baseline_tensor, "baseline_with_selfloop") + +# Without self-loop +result_no_selfloop = train_model(adj_no_selfloop_tensor, "no_selfloop") + +# Experiment 2: Normalization ablation +print("\n=== Experiment 2: Normalization Ablation ===") + +# Symmetric normalization (with self-loop) +result_symmetric = train_model(adj_symmetric_tensor, "symmetric_norm") + +# Left normalization (with self-loop - same as baseline) +result_left = train_model(adj_left_tensor, "left_norm") + +# Save results to CSV +results_df = pd.DataFrame({ + 'Model': ['Baseline (Left Norm + Self-loop)', 'No Self-loop', 'Symmetric Norm + Self-loop', 'Left Norm + Self-loop'], + 'Test Accuracy': [ + result_baseline['test_acc'], + result_no_selfloop['test_acc'], + result_symmetric['test_acc'], + result_left['test_acc'] + ], + 'Best Epoch': [ + result_baseline['best_epoch'], + result_no_selfloop['best_epoch'], + result_symmetric['best_epoch'], + result_left['best_epoch'] + ] +}) + +results_df.to_csv('correct_ablation_results.csv', index=False) +print("\nResults saved to correct_ablation_results.csv") + +# Plot training curves +plt.figure(figsize=(12, 8)) + +# Self-loop comparison +plt.subplot(2, 1, 1) +plt.plot(result_baseline['train_acc'], label='With Self-loop (Train)') +plt.plot(result_baseline['val_acc'], label='With Self-loop (Val)') +plt.plot(result_no_selfloop['train_acc'], label='No Self-loop (Train)') +plt.plot(result_no_selfloop['val_acc'], label='No Self-loop (Val)') +plt.title('Self-loop Ablation: Accuracy Curves') +plt.xlabel('Epoch') +plt.ylabel('Accuracy') +plt.legend() +plt.grid(True) + +# Normalization comparison +plt.subplot(2, 1, 2) +plt.plot(result_symmetric['train_acc'], label='Symmetric Norm (Train)') +plt.plot(result_symmetric['val_acc'], label='Symmetric Norm (Val)') +plt.plot(result_left['train_acc'], label='Left Norm (Train)') +plt.plot(result_left['val_acc'], label='Left Norm (Val)') +plt.title('Normalization Ablation: Accuracy Curves') +plt.xlabel('Epoch') +plt.ylabel('Accuracy') +plt.legend() +plt.grid(True) + +plt.tight_layout() +plt.savefig('correct_ablation_curves.png', dpi=300) +plt.close() +print("Training curves saved to correct_ablation_curves.png") + +# Print summary +print("\n=== Correct Ablation Study Summary ===") +print(results_df.to_string(index=False)) + +print("\nKey Findings:") +print(f"1. Self-loop improves accuracy by {(result_baseline['test_acc'] - result_no_selfloop['test_acc'])*100:.2f} percentage points") +print(f"2. Symmetric normalization achieves {result_symmetric['test_acc']*100:.2f}% test accuracy") +print(f"3. Left normalization achieves {result_left['test_acc']*100:.2f}% test accuracy") +print(f"4. 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