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Aggregation Buffer: Revisiting DropEdge with a New Parameter Block

ICML 2025 · Graph learning › GNN architectures · approach: GNN generalization theory · 0 citations (OpenAlex)

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Revisits DropEdge, argues its gains are limited by GNN aggregation's lack of discrepancy bounds, and proposes Aggregation Buffer, a frozen-backbone add-on block trained with DropEdge and a robustness-controlled loss.

Problem

DropEdge gives limited gains for GNN supervised node classification; the paper asks why and how to improve GNN robustness to edge/structural perturbations (degree bias, structural disparity).

Approach

Theoretically shows GNN aggregation lacks a constant discrepancy bound under different adjacency matrices, so DropEdge's robustness term cannot be optimized; adds a degree-normalized linear parameter block (D+I)^{-1} H W to each layer of a frozen pre-trained GNN and trains it with DropEdge plus a robustness-controlled loss (bias via distillation on training nodes, robustness via KL between clean a

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add Aggregation Buffer to GCNGCN · Cora, Citeseer, PubMed, Wiki-CS, Photo, Computer, CS, Physics, Arxiv, Actor, Squirrel, Chameleonoverall accuracy (%): 83.44 -> 84.84; 72.45 -> 73.32; 86.48 -> 87.56; 80.26 -> 80.75; 92.21 -> 92.44; 88.24 -> 88.76; 91.85 -> 93.54; 95.18 ->Helped
add Aggregation Buffer to SAGE, GAT, SGC, or GINSAGE, GAT, SGC, GIN · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.07 -> 88.09; 92.44 -> 93.36; 70.92 -> 71.16; 37.34 -> 37.85; 85.64 -> 87.47; 90.50 -> 93.09; 71.86 -> 72.26; 38.54 ->Helped
unfreeze the pretrained GCN parameters (ablation)GCN_B · PubMed, CS, Chameleonaccuracy (%): 87.56 -> 87.50; 93.54 -> 93.50; 40.96 -> 40.77Hurt
remove Aggregation Buffer (ablation)GCN_B · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.82; 93.54 -> 91.67; 72.43 -> 72.21; 40.96 -> 40.35Hurt
remove pretraining (ablation)GCN_B · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 87.22; 93.54 -> 92.78; 72.43 -> 71.15; 40.96 -> 39.39Mixed
replace Aggregation Buffer with standard AGG (ablation)GCN_B · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.82; 93.54 -> 91.63; 72.43 -> 72.27; 40.96 -> 40.69Hurt
replace Aggregation Buffer with JKNet (ablation)GCN_B · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 87.45; 93.54 -> 93.36; 72.43 -> 72.19; 40.96 -> 40.29Mixed
replace Aggregation Buffer with residual connection (ablation)GCN_B · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 87.46; 93.54 -> 92.05; 72.43 -> 72.29; 40.96 -> 39.77Mixed
restrict the robustness term to training nodes (ablation)GCN_B training objective · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.89; 93.54 -> 92.67; 72.43 -> 72.26; 40.96 -> 40.31Hurt
replace L_RC with pseudo-label loss (ablation)GCN_B training objective · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.62; 93.54 -> 92.48; 72.43 -> 71.84; 40.96 -> 40.14Hurt
replace L_RC with self-distillation loss (ablation)GCN_B training objective · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.15; 93.54 -> 92.02; 72.43 -> 72.18; 40.96 -> 40.22Hurt
replace L_RC with cross-entropy loss (ablation)GCN_B training objective · PubMed, CS, Arxiv, Chameleonaccuracy (%): 87.56 -> 86.67; 93.54 -> 93.29; 72.43 -> 71.94; 40.96 -> 40.76Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Cora Citeseer PubMed Wiki-CS Amazon Photo Amazon Computers Coauthor CS Coauthor Physics ogbn-arxiv Actor Squirrel Chameleon

Benchmarks: Cora Citeseer PubMed Wiki-CS Amazon Photo Amazon Computers Coauthor CS Coauthor Physics ogbn-arxiv Actor Squirrel Chameleon

Metrics: accuracy accuracy on head nodes accuracy on tail nodes accuracy on homophilous nodes accuracy on heterophilous nodes

Baselines: GCN MLP DropEdge DropNode DropMessage TUNEUP GraphPatcher

Builds on: DropEdge GCN TUNEUP DropMessage

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