Research map / Graph learning / Graph self-supervised learning
Graph Convolution for Semi-Supervised Classification: Improved Linear Separability and Out-of-Distribution Generalization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add graph convolution before linear classification | Semi-supervised CSBM classification · CSBM with class-mean distance above the convolution separability threshold | linear separability: P((\tilde{X}_i)_{i\in S} is linearly separable) = 1-o_d(1); P((X_i)_{i\in S} is linearly separable)≤C exp(−cd) | Helped |
| Add graph convolution before linear classification | Semi-supervised CSBM classification · CSBM with high graph noise and well-separated class means | test error | Hurt |
| Increase graph density while keeping the graph signal-to-noise ratio fixed | Graph-convolution classifier · CSBM, q=0.2p | training and test loss | Helped |
| Use graph convolution on graphs with p,q ≤ log^2 n /n | CSBM classification · Sparse CSBM | training and test loss | No clear effect |
| Train with graph convolution and test on graphs with different intra- and inter-class edge probabilities | CSBM graph-convolution classifier · Out-of-distribution CSBM with unchanged attribute means | test binary cross-entropy | Helped |
| Add graph convolution | Linear classifiers on Cora, PubMed, and WikipediaNetwork · Real-data one-vs-all classification with noisy test graphs | test error | Mixed |
| Add graph convolution when the original attributes are already linearly separable | Semi-supervised classification · CSBM with widely separated class means | test error | Hurt |
Closest papers by meaning
- Analysis of Corrected Graph Convolutions (NeurIPS 2024 · similarity 0.90)
- Gaussian-Induced Convolution for Graphs (AAAI 2019 · similarity 0.90)
- Optimal Exact Recovery in Semi-Supervised Learning: A Study of Spectral Methods and Graph Convolutional Networks (ICML 2024 · similarity 0.90)
- Semi-Supervised Classification with Graph Convolutional Networks (ICLR 2017 · similarity 0.90)
- Effects of Graph Convolutions in Multi-layer Networks (ICLR 2023 · similarity 0.90)
- Unsupervised Neighborhood Propagation Kernel Layers for Semi-supervised Node Classification (AAAI 2024 · similarity 0.88)
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