7 Revolutionary Breakthroughs in Graph-Free Knowledge Distillation (And 1 Critical Flaw That Could Derail Your AI Model)

ACGKD framework diagram showing Graph-Free Knowledge Distillation with curriculum learning and Binary Concrete distribution for efficient graph generation.

In the rapidly evolving world of artificial intelligence, efficiency and accuracy are king. But what happens when you need to train a powerful AI model—like a Graph Neural Network (GNN)—without access to real data? This is the challenge at the heart of Data-Free Knowledge Distillation (DFKD), a cutting-edge technique that allows a smaller “student” model to learn from a larger, pre-trained “teacher” model using only synthetic, or pseudo, data.

While DFKD has seen remarkable success in computer vision, applying it to graph-structured data—such as social networks, molecular structures, and biological systems—has proven far more difficult. Traditional methods suffer from high computational costs, inefficient training, and poor-quality pseudo-graphs that fail to capture essential structural information.

Enter ACGKD (Adversarial Curriculum Graph-Free Knowledge Distillation), a groundbreaking new approach that not only overcomes these limitations but sets a new benchmark for performance, speed, and scalability in graph-free knowledge distillation.

In this article, we’ll explore 7 revolutionary breakthroughs behind ACGKD, backed by the latest research from top institutions like Westlake University and Wuhan University. We’ll also reveal 1 critical flaw that still limits its performance on multi-class datasets—a caution every AI practitioner should know.


Why Graph-Free Knowledge Distillation Matters (And Why Old Methods Fail)

Before we explore ACGKD, it’s essential to understand why graph-free knowledge distillation is so important—and why existing methods fall short.

GNNs are incredibly powerful for tasks like drug discovery, fraud detection, and recommendation systems. But they’re often too large and resource-intensive for deployment on edge devices or in privacy-sensitive environments where real data cannot be shared.

Data-free knowledge distillation offers a solution: transfer the teacher’s knowledge using synthetic graphs generated on the fly. However, as highlighted in the paper, two major issues plague current approaches:

  1. High Spatial Complexity: Most methods generate full-sized graphs, leading to massive memory and time costs.
  2. Non-Differentiable Graph Structures: Using Bernoulli distributions to model edges makes gradient computation inefficient and unstable.

These flaws result in slow training, poor convergence, and suboptimal student performance—especially when the student and teacher have different architectures.


Breakthrough #1: Binary Concrete Distribution for Differentiable Graphs

The first—and perhaps most impactful—innovation in ACGKD is its use of the Binary Concrete distribution to model graph topology.

Unlike the traditional Bernoulli-based approach, which treats edges as binary (present or absent), ACGKD uses a continuous relaxation of discrete variables. This allows gradients to flow directly through the graph structure, enabling end-to-end optimization.

The edge probability sij​ between nodes i and j is computed as:

\[ s_{ij} = \sigma\big( \log \alpha_{ij} + \lambda\, G_{ij} \big) \] Where: \[ \alpha_{ij} \; \text{is the learnable edge probability,} \] \[ G_{ij} \sim \text{Gumbel}(0,1) \; \text{is Gumbel noise,} \] \[ \lambda \; \text{is a temperature parameter controlling the smoothness of the sigmoid} \; \sigma. \]

This innovation eliminates the need for manual gradient estimation, drastically reducing training time and improving stability.


✅ Breakthrough #2: Tunable Spatial Complexity for Faster Training

ACGKD introduces a trainable spatial complexity parameter ξ , which dynamically reduces the number of nodes in the generated pseudo-graphs.

For a graph with n nodes:

\[ \text{Undirected graphs:} \quad \text{Adjacency matrix size reduced from } n^{2} \text{ to } (n-\xi)^{2} \] \[ \text{Directed graphs:} \quad \text{From } \frac{n(n+1)}{2} \text{ to } \frac{(n-\xi)(n-\xi+1)}{2} \]

This quadratic reduction in spatial complexity leads to faster graph generation and lower memory usage, without sacrificing distillation quality.

As shown in the paper’s experiments, ACGKD reduces data generation time by:

  • 58.03% vs. GFAD on GCN
  • 60.25% vs. GFAD on GIN

This makes ACGKD not just more accurate—but significantly more scalable for real-world applications.


✅ Breakthrough #3: Reusing the Teacher’s Classifier for Better Knowledge Transfer

A common bottleneck in knowledge distillation is dimensional ambiguity—when the student’s output dimensions don’t match the teacher’s.

ACGKD solves this with a two-part strategy:

  1. Projection Layer: Uses a Graph Attention Network (GAT) to align the student’s intermediate features with the teacher’s.
  2. Classifier Reuse: Instead of training a new classifier from scratch, ACGKD reuses the teacher’s final classifier.

This is a game-changer. The teacher’s classifier contains implicit knowledge about the graph’s topology and class structure—knowledge that would otherwise be lost.

The GAT projection is defined as:

\[ h_i’ = \sum_{k=1}^{K} \sigma \left( \sum_{j \in N_i} \alpha_{ij}^{(k)} \, W^{(k)} h_j \right) \]

​​

where αij(k)​ is the attention coefficient for the k -th head, and Niis the neighborhood of node i .

By reusing the classifier, ACGKD ensures the student learns not just what to predict, but how the teacher thinks.


✅ Breakthrough #4: Curriculum Learning for Progressive Difficulty

One of the most intuitive yet underused ideas in AI training is curriculum learning (CL)—teaching models from easy to hard examples.

ACGKD integrates CL directly into the distillation pipeline:

  • Early epochs: Generate simple, sparse graphs with low connectivity.
  • Later epochs: Gradually increase complexity using a control function α(t) :
\[ \alpha(t) = \begin{cases} 0, & t \leq k_{\text{begin}}^{B} \\ \alpha \cdot \dfrac{t – k_{\text{begin}}^{B}}{\lambda_{\text{final}}}, & k_{\text{begin}}^{B} < t \leq k_{\text{end}}^{B} \\ \alpha, & t > k_{\text{end}}^{B} \end{cases} \]

This prevents the student from being overwhelmed early on, leading to smoother convergence and better final accuracy.

As shown in ablation studies, removing CL causes a significant performance drop, proving its critical role.


✅ Breakthrough #5: Dynamic Temperature for Adversarial Learning

Temperature scaling is a common trick in knowledge distillation, but most methods use a fixed temperature.

ACGKD introduces a learnable temperature module θtempthat is trained adversarially—meaning it updates in the opposite direction of the student to maximize the distillation loss.

This creates a mini-max game:

\[ \theta_{\text{stu}}^{\min} \; \theta_{\text{temp}}^{\max} \; L(\theta_{\text{stu}}, \theta_{\text{temp}}) = \sum_{x} \alpha_{1} L_{\text{cls}} + \alpha_{2} L_{\text{div}}(f_{t}, f_{s}, \theta_{\text{temp}}) \]

The result? The student is forced to learn harder, more discriminative features, leading to better generalization.


✅ Breakthrough #6: Gradient Reversal for Stable Training

To implement adversarial temperature learning, ACGKD uses a gradient reversal layer (GRL).

During forward pass: unchanged.
During backward pass: gradients are multiplied by a negative decay factor β :

\[ \beta = \left(1 + \cos\left(\frac{i \pi}{\text{num_loops}} {\ }\right)\right) \cdot \frac{\text{max_value} – \text{min_value}}{2} + \text{min_value} \]

This smoothly increases the adversarial strength over time, avoiding instability in early training.


✅ Breakthrough #7: Superior Performance Across 6 Benchmark Datasets

The proof is in the results. ACGKD was tested on six real-world graph datasets:

  • Bioinformatics: MUTAG, PTC, PROTEINS
  • Social Networks: IMDB-B, COLLAB, REDDIT-B

Here’s how it compares to state-of-the-art baselines:

Table 1: Test Accuracy (%) on Bioinformatics Datasets (Teacher: GCN-5-64, Student: GCN-3-32)

METHODMUTAGPTCPROTEINS
RG (Random)39.1±6.843.2±4.456.6±4.8
GFKD70.8±4.857.4±2.274.7±5.5
GFAD73.6±5.160.4±2.970.2±3.4
ACGKD (Ours)88.4±5.965.2±4.277.8±6.1

Table 2: Test Accuracy (%) on Social Datasets (Same Architecture)

METHODIMDB-BCOLLABREDDIT-B
RG/DG58.5±3.734.8±9.050.1±1.0
GFKD62.0±3.167.3±2.466.5±3.7
GFAD67.8±3.962.5±3.268.7±2.8
ACGKD (Ours)69.1±2.267.7±3.375.7±2.7

ACGKD outperforms all baselines across nearly all datasets, often by 10–15 percentage points.


The One Critical Flaw: Struggles with Multi-Class Tasks

Despite its many strengths, ACGKD has one notable weakness: performance on multi-class datasets.

On the COLLAB dataset (3 classes), while ACGKD still outperforms most baselines, the margin is smaller, and ablation studies show that removing classifier reuse actually improves performance slightly.

The authors note:

“Our method still has some limitations, particularly in its performance on three-class datasets (e.g., COLLAB), where there is room for improvement.”

This suggests that classifier reuse may not generalize well when class distributions are more complex—a key area for future research.


Why ACGKD Ranks High for SEO: Keywords That Matter

To ensure this article ranks well, we’ve naturally integrated high-value SEO keywords, including:

  • Graph-free knowledge distillation
  • Data-free knowledge distillation
  • Knowledge distillation for GNNs
  • Binary Concrete distribution
  • Curriculum learning in AI
  • Efficient GNN training
  • Adversarial knowledge distillation

These terms are not only relevant to the paper but are actively searched by researchers, engineers, and AI practitioners.


Visual Proof: ACGKD Generates Better, Simpler Graphs

Figures from the paper show that:

  • GFKD and GFAD generate complex, noisy graphs.
  • ACGKD produces cleaner, sparser graphs that retain key structural information.


t-SNE visualizations also confirm that ACGKD’s student model learns sharper, more separable features than even the teacher—proof of superior knowledge transfer.


How to Implement ACGKD: Key Hyperparameters

Want to try ACGKD yourself? Here are the key settings from the paper:

  • num_loops: 1800 (for graph generation)
  • Learning rates: 1.0 (structure), 0.01 (features), with exponential decay
  • k_begin: 0.1, k_end: 0.9 (curriculum timing)
  • Optimizer: Adam
  • Epochs: 400, with learning rate linearly decreased to 0

Code is expected to be released on GitHub (link to be updated).


Final Verdict: ACGKD Is a Game-Changer—With Caveats

ACGKD represents a major leap forward in graph-free knowledge distillation. By combining:

  • Differentiable graph generation,
  • Spatial complexity tuning,
  • Curriculum learning,
  • Adversarial temperature control,
  • And classifier reuse,

…it delivers unmatched speed, efficiency, and accuracy.

However, its struggle with multi-class tasks reminds us that no method is perfect. Future work should focus on adaptive classifiers and dynamic architecture alignment.


Related posts, You May like to read

  1. 7 Shocking Truths About Knowledge Distillation: The Good, The Bad, and The Breakthrough (SAKD)
  2. 7 Shocking Vulnerabilities in AI Watermarking: The Hidden Threat of Unified Spoofing & Scrubbing Attacks (And How to Fix It)
  3. 7 Revolutionary Breakthroughs in Small Object Detection: The DAHI Framework
  4. 7 Breakthrough AI Insights: How Machine Learning Predicts Glioma Grading

Call to Action: Join the AI Knowledge Distillation Revolution

Are you working on GNN compression, edge AI, or privacy-preserving machine learning? ACGKD could be the missing piece in your pipeline.

👉 Download the full paper here
👉 Star the GitHub repo (coming soon)
👉 Share this article with your team and let’s push the boundaries of what’s possible in data-free AI.

What do you think? Can ACGKD be improved for multi-class tasks? Drop your ideas in the comments below!

Here is the complete, end-to-end Python code for the ACGKD model proposed in the paper “Adversarial Curriculum Graph-Free Knowledge Distillation for Graph Neural Networks.

# ACGKD: Adversarial Curriculum Graph-Free Knowledge Distillation for Graph Neural Networks
# A PyTorch implementation based on the paper (arXiv:2504.00540v2)

import torch
import torch.nn as nn
import torch.nn.functional as F
import torch.optim as optim
from torch.autograd import Function
from torch_geometric.nn import GCNConv, GINConv, global_add_pool
from torch_geometric.data import Data, DataLoader
from torch_geometric.datasets import TUDataset
import numpy as np
import math

# --- 1. Model Components ---

# GNN Models (can be used as Teacher or Student)
class GCN(nn.Module):
    """ GCN Model based on Kipf & Welling (2016) """
    def __init__(self, in_channels, hidden_channels, out_channels, num_layers):
        super(GCN, self).__init__()
        self.convs = nn.ModuleList()
        self.bns = nn.ModuleList()
        
        self.convs.append(GCNConv(in_channels, hidden_channels))
        self.bns.append(nn.BatchNorm1d(hidden_channels))
        
        for _ in range(num_layers - 2):
            self.convs.append(GCNConv(hidden_channels, hidden_channels))
            self.bns.append(nn.BatchNorm1d(hidden_channels))
            
        self.convs.append(GCNConv(hidden_channels, hidden_channels)) # Encoder output
        
        self.classifier = nn.Linear(hidden_channels, out_channels)

    def forward(self, x, edge_index, batch):
        h = x
        for conv, bn in zip(self.convs[:-1], self.bns):
            h = conv(h, edge_index)
            h = bn(h)
            h = F.relu(h)
        
        # Encoder output
        h = self.convs[-1](h, edge_index)
        
        # Graph-level readout
        graph_h = global_add_pool(h, batch)
        
        # Classifier
        out = self.classifier(graph_h)
        return h, graph_h, out

class GIN(nn.Module):
    """ GIN Model based on Xu et al. (2018) """
    def __init__(self, in_channels, hidden_channels, out_channels, num_layers):
        super(GIN, self).__init__()
        self.convs = nn.ModuleList()
        self.bns = nn.ModuleList()

        self.convs.append(GINConv(nn.Sequential(nn.Linear(in_channels, hidden_channels), nn.ReLU(), nn.Linear(hidden_channels, hidden_channels))))
        self.bns.append(nn.BatchNorm1d(hidden_channels))

        for _ in range(num_layers - 2):
            self.convs.append(GINConv(nn.Sequential(nn.Linear(hidden_channels, hidden_channels), nn.ReLU(), nn.Linear(hidden_channels, hidden_channels))))
            self.bns.append(nn.BatchNorm1d(hidden_channels))
            
        self.convs.append(GINConv(nn.Sequential(nn.Linear(hidden_channels, hidden_channels), nn.ReLU(), nn.Linear(hidden_channels, hidden_channels))))

        self.classifier = nn.Linear(hidden_channels, out_channels)

    def forward(self, x, edge_index, batch):
        h = x
        for conv, bn in zip(self.convs[:-1], self.bns):
            h = conv(h, edge_index)
            h = bn(h)
            h = F.relu(h)
            
        h = self.convs[-1](h, edge_index)
        
        graph_h = global_add_pool(h, batch)
        out = self.classifier(graph_h)
        return h, graph_h, out

class GATProjector(nn.Module):
    """ 
    GAT Projector as described in Section III-C.
    This aligns the student's intermediate output dimension with the teacher's.
    """
    def __init__(self, in_channels, out_channels, heads=8):
        super(GATProjector, self).__init__()
        # Using GCNConv to simulate GAT for simplicity as PyG's GATConv is more complex
        # A true GAT implementation would use torch_geometric.nn.GATConv
        # For the purpose of this code, GCNConv acts as a graph-aware projector
        self.conv = GCNConv(in_channels, out_channels)

    def forward(self, x, edge_index):
        # The paper uses GAT, here we use GCN as a simplified graph-aware projector
        return self.conv(x, edge_index)

class GradientReversalLayer(Function):
    """
    Gradient Reversal Layer for Adversarial Learning (Section III-E).
    This layer passes the input through unchanged during the forward pass,
    but reverses the gradient during the backward pass.
    """
    @staticmethod
    def forward(ctx, x, beta):
        ctx.beta = beta
        return x.view_as(x)

    @staticmethod
    def backward(ctx, grad_output):
        grad_input = grad_output.neg() * ctx.beta
        return grad_input, None

class TemperatureMLP(nn.Module):
    """
    Learnable Temperature Module (T-MLP) (Section III-E).
    A simple MLP to learn the optimal temperature for distillation.
    """
    def __init__(self, input_dim=1, hidden_dim=10, output_dim=1):
        super(TemperatureMLP, self).__init__()
        self.mlp = nn.Sequential(
            nn.Linear(input_dim, hidden_dim),
            nn.ReLU(),
            nn.Linear(hidden_dim, output_dim),
            nn.Softplus() # Ensure temperature is positive
        )

    def forward(self, x):
        return self.mlp(x) + 1e-6 # Add epsilon for stability

# --- 2. Pseudo-Graph Generation ---

def gumbel_softmax(logits, temperature=1.0, hard=False):
    """
    Gumbel-Softmax for sampling from a categorical distribution.
    Used here to implement the Binary Concrete distribution (a special case).
    """
    gumbels = -torch.empty_like(logits).exponential_().log()  # Gumbel(0, 1)
    logits = (logits + gumbels) / temperature
    y_soft = logits.sigmoid()

    if hard:
        y_hard = (y_soft > 0.5).float()
        # Straight-through estimator
        y = y_hard - y_soft.detach() + y_soft
    else:
        y = y_soft
    return y

def get_distr_loss(teacher, student):
    """ A simple feature distribution loss (L_distr) """
    loss = 0
    for (t_name, t_module), (s_name, s_module) in zip(teacher.named_modules(), student.named_modules()):
        if isinstance(t_module, nn.BatchNorm1d) and isinstance(s_module, nn.BatchNorm1d):
            loss += torch.mean(torch.abs(t_module.running_mean - s_module.running_mean))
            loss += torch.mean(torch.abs(t_module.running_var - s_module.running_var))
    return loss

def generate_pseudo_graphs(teacher_model, num_graphs, num_nodes, node_features, num_classes, device, epochs=1800):
    """
    Generates pseudo-graphs using the teacher model, as described in Section III-B.
    """
    print("--- Starting Pseudo-Graph Generation ---")
    teacher_model.eval()

    # Initialize graph structure parameters (log_alpha) and node features (N)
    # These are the parameters we will optimize.
    log_alpha = torch.randn(num_graphs, num_nodes, num_nodes, device=device).requires_grad_(True)
    features = torch.randn(num_graphs, num_nodes, node_features, device=device).requires_grad_(True)
    
    # Trainable spatial complexity parameter xi (Section III-B)
    # We simplify this by optimizing the number of nodes directly via a mask
    # A more direct implementation would be complex, so we use a proxy.
    # For this example, we'll keep the number of nodes fixed for simplicity,
    # as implementing a dynamic graph size with `xi` is non-trivial and
    # the paper's description of its optimization is high-level.
    
    optimizer = optim.Adam([log_alpha, features], lr=1.0)
    scheduler = optim.lr_scheduler.ExponentialLR(optimizer, gamma=0.99)

    # Store batch norm stats from the teacher for L_distr
    teacher_bn_stats = []
    for module in teacher_model.modules():
        if isinstance(module, nn.BatchNorm1d):
            teacher_bn_stats.append((module.running_mean.clone(), module.running_var.clone()))

    for epoch in range(epochs):
        optimizer.zero_grad()
        
        total_loss = 0
        pseudo_graphs = []
        
        # Sample graph structure S from Binary Concrete distribution (Eq. 2)
        adj_soft = gumbel_softmax(log_alpha, temperature=0.5)
        
        for i in range(num_graphs):
            # Create a PyG Data object for each pseudo-graph
            edge_index = adj_soft[i].nonzero().t().contiguous()
            
            # Create random labels for generation (as per paper)
            labels = torch.randint(0, num_classes, (1,), device=device)
            
            # Create a batch tensor for pooling
            batch = torch.zeros(num_nodes, dtype=torch.long, device=device)
            
            # Forward pass through the teacher model
            _, _, out_teacher = teacher_model(features[i], edge_index, batch)
            
            # --- Calculate Generation Loss (Eq. 15) ---
            # 1. L_out: Cross-entropy loss
            loss_out = F.cross_entropy(out_teacher, labels)
            
            # 2. L_distr: Feature distribution loss (simplified)
            # We encourage the mean/std of generated features to be normal
            loss_distr = torch.mean(features[i].mean(dim=0)**2) + torch.mean((features[i].std(dim=0) - 1)**2)

            # 3. L_onehot: Regularization loss for one-hot encoding
            # Encourages confident predictions from the teacher
            loss_onehot = -torch.mean(F.softmax(out_teacher, dim=1) * F.log_softmax(out_teacher, dim=1))
            
            # Total loss for this graph
            graph_loss = loss_out + 0.05 * loss_distr + 0.05 * loss_onehot
            total_loss += graph_loss

            pseudo_graphs.append(Data(x=features[i].detach().clone(), edge_index=edge_index.detach().clone(), y=labels.detach().clone()))

        # Curriculum Learning alpha(t) (Eq. 7)
        # We simplify this to a linear schedule for demonstration
        k_begin, k_end = 0.1, 0.9
        if epoch < epochs * k_begin:
            alpha_t = 0
        elif epoch < epochs * k_end:
            alpha_t = (epoch - epochs * k_begin) / (epochs * (k_end - k_begin))
        else:
            alpha_t = 1.0

        final_loss = alpha_t * total_loss
        
        if final_loss > 0:
            final_loss.backward()
            optimizer.step()
            scheduler.step()

        if epoch % 100 == 0:
            print(f"Generation Epoch {epoch}/{epochs}, Loss: {final_loss.item():.4f}")

    print("--- Pseudo-Graph Generation Finished ---")
    return pseudo_graphs


# --- 3. Knowledge Distillation Training ---

def train_student_with_kd(student, teacher, projector, temp_mlp, pseudo_graphs, device, epochs=400):
    """
    Trains the student model using the generated pseudo-graphs and the ACGKD method.
    """
    print("\n--- Starting Student Knowledge Distillation ---")
    
    # Setup optimizers for student and temperature module
    optimizer_student = optim.Adam(list(student.parameters()) + list(projector.parameters()), lr=0.01)
    optimizer_temp = optim.Adam(temp_mlp.parameters(), lr=0.01)
    
    # Detach teacher classifier to reuse it (Section III-C)
    teacher_classifier = teacher.classifier
    for param in teacher_classifier.parameters():
        param.requires_grad = False

    # Get teacher's intermediate output dimension
    teacher_hidden_dim = teacher_classifier.in_features

    # Main training loop
    for epoch in range(epochs):
        student.train()
        projector.train()
        temp_mlp.train()
        teacher.eval()
        
        total_loss_train = 0
        
        # Create a dataloader for the generated pseudo-graphs
        pseudo_loader = DataLoader(pseudo_graphs, batch_size=32, shuffle=True)
        
        for batch_data in pseudo_loader:
            batch_data = batch_data.to(device)
            
            # --- Adversarial Update Step (Eq. 9 - 13) ---
            
            # 1. Update Student Model
            optimizer_student.zero_grad()
            
            # Get student outputs
            node_h_s, _, _ = student(batch_data.x, batch_data.edge_index, batch_data.batch)
            
            # Project student output to match teacher's dimension
            projected_h_s = projector(node_h_s, batch_data.edge_index)
            
            # Pool and classify using the reused teacher classifier
            pooled_s = global_add_pool(projected_h_s, batch_data.batch)
            out_s = teacher_classifier(pooled_s)

            # Get teacher outputs (no grad needed)
            with torch.no_grad():
                _, graph_h_t, out_t = teacher(batch_data.x, batch_data.edge_index, batch_data.batch)

            # --- Calculate Student Loss (Eq. 16) ---
            
            # L_cls: Classification loss
            loss_cls = F.cross_entropy(out_s, batch_data.y)
            
            # L_div: KL Divergence loss with learnable temperature
            temp_input = torch.ones(1, 1, device=device) # Dummy input for T-MLP
            temperature = temp_mlp(temp_input).squeeze()
            
            loss_div = F.kl_div(
                F.log_softmax(out_s / temperature, dim=1),
                F.softmax(out_t / temperature, dim=1),
                reduction='batchmean'
            ) * (temperature**2)

            # L_mse: Projection correction loss
            pooled_t = global_add_pool(graph_h_t, batch_data.batch)
            loss_mse = F.mse_loss(pooled_s, pooled_t)
            
            # Total student loss before curriculum re-weighting
            student_loss = loss_cls + 1.0 * loss_div + 1.0 * loss_mse
            
            # Curriculum Learning v*(mu, L) (Eq. 8)
            mu = epoch / epochs # Linearly increasing mu
            v_star = (1 + math.exp(-mu)) / (1 + math.exp(student_loss.item() - mu))
            
            final_student_loss = v_star * student_loss
            
            final_student_loss.backward()
            optimizer_student.step()
            
            # 2. Update Temperature Module (Adversarially)
            optimizer_temp.zero_grad()
            
            # Recalculate student output after update
            node_h_s_updated, _, _ = student(batch_data.x, batch_data.edge_index, batch_data.batch)
            projected_h_s_updated = projector(node_h_s_updated, batch_data.edge_index)
            pooled_s_updated = global_add_pool(projected_h_s_updated, batch_data.batch)
            out_s_updated = teacher_classifier(pooled_s_updated)
            
            # Calculate adversarial loss for temperature
            # We want to MAXIMIZE the distillation loss, so we negate it
            temp_input = torch.ones(1, 1, device=device)
            
            # Gradient Reversal Layer logic
            beta = (1 + math.cos(epoch * math.pi / epochs)) / 2 # Cosine decay (Eq. 14)
            reversed_pooled_s = GradientReversalLayer.apply(pooled_s_updated, beta)
            reversed_out_s = teacher_classifier(reversed_pooled_s)

            temperature_adv = temp_mlp(temp_input).squeeze()
            
            loss_div_adv = F.kl_div(
                F.log_softmax(reversed_out_s / temperature_adv, dim=1),
                F.softmax(out_t / temperature_adv, dim=1),
                reduction='batchmean'
            ) * (temperature_adv**2)
            
            # The goal is to maximize this loss, which is handled by the GRL
            # So we just do a normal backward pass on the reversed output
            loss_div_adv.backward()
            optimizer_temp.step()

            total_loss_train += final_student_loss.item()
            
        avg_loss = total_loss_train / len(pseudo_loader)
        if epoch % 20 == 0:
            print(f"Distillation Epoch {epoch}/{epochs}, Student Loss: {avg_loss:.4f}, Temp: {temperature.item():.4f}")
            
    print("--- Knowledge Distillation Finished ---")
    return student, projector


# --- 4. Main Execution Block ---

if __name__ == '__main__':
    # --- Setup ---
    device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
    print(f"Using device: {device}")

    # Load a dataset to pre-train the teacher (e.g., MUTAG)
    dataset = TUDataset(root='/tmp/MUTAG', name='MUTAG')
    dataset = dataset.shuffle()
    
    # For demonstration, we use a small subset for pre-training
    train_dataset = dataset[:150]
    test_dataset = dataset[150:]
    train_loader = DataLoader(train_dataset, batch_size=64, shuffle=True)
    test_loader = DataLoader(test_dataset, batch_size=64, shuffle=False)

    num_node_features = dataset.num_node_features
    num_classes = dataset.num_classes

    # --- Pre-train Teacher Model ---
    print("\n--- Pre-training Teacher Model ---")
    teacher = GCN(
        in_channels=num_node_features, 
        hidden_channels=64, 
        out_channels=num_classes, 
        num_layers=5
    ).to(device)
    
    optimizer_teacher = optim.Adam(teacher.parameters(), lr=0.01)
    
    for epoch in range(50): # Short pre-training for demonstration
        teacher.train()
        for data in train_loader:
            data = data.to(device)
            optimizer_teacher.zero_grad()
            _, _, out = teacher(data.x, data.edge_index, data.batch)
            loss = F.cross_entropy(out, data.y)
            loss.backward()
            optimizer_teacher.step()

    # Test teacher accuracy
    teacher.eval()
    correct = 0
    for data in test_loader:
        data = data.to(device)
        _, _, pred = teacher(data.x, data.edge_index, data.batch)
        pred = pred.argmax(dim=1)
        correct += int((pred == data.y).sum())
    acc = correct / len(test_loader.dataset)
    print(f"Teacher Pre-trained. Accuracy: {acc:.4f}")

    # --- ACGKD Process ---
    
    # 1. Generate Pseudo-Graphs
    # Using smaller numbers for a quick demonstration
    pseudo_graphs = generate_pseudo_graphs(
        teacher_model=teacher,
        num_graphs=50, 
        num_nodes=20, # Avg nodes in MUTAG is ~18
        node_features=num_node_features,
        num_classes=num_classes,
        device=device,
        epochs=500 # Reduced for demo
    )

    # 2. Initialize Student and other components
    student = GCN(
        in_channels=num_node_features,
        hidden_channels=32,
        out_channels=num_classes, # This will be ignored due to classifier reuse
        num_layers=3
    ).to(device)
    
    projector = GATProjector(
        in_channels=32, # Student hidden dim
        out_channels=64  # Teacher hidden dim
    ).to(device)
    
    temp_mlp = TemperatureMLP().to(device)

    # 3. Run Distillation
    student_trained, _ = train_student_with_kd(
        student,
        teacher,
        projector,
        temp_mlp,
        pseudo_graphs,
        device,
        epochs=200 # Reduced for demo
    )

    # --- Evaluate the Distilled Student Model ---
    print("\n--- Evaluating Distilled Student Model ---")
    student_trained.eval()
    projector.eval()
    teacher.classifier.eval() # Reused classifier
    
    correct_student = 0
    with torch.no_grad():
        for data in test_loader:
            data = data.to(device)
            node_h_s, _, _ = student_trained(data.x, data.edge_index, data.batch)
            projected_h_s = projector(node_h_s, data.edge_index)
            pooled_s = global_add_pool(projected_h_s, data.batch)
            out_s = teacher.classifier(pooled_s)
            pred = out_s.argmax(dim=1)
            correct_student += int((pred == data.y).sum())
            
    student_acc = correct_student / len(test_loader.dataset)
    print(f"Final Distilled Student Accuracy: {student_acc:.4f}")
    print("Note: Accuracy depends heavily on hyperparameters and training duration.")

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