SHIKI: Self-Supervised Heuristic for Improving MLPs' Knowledge by Integrating GNNs

26 Sept 2024 (modified: 25 Nov 2024)ICLR 2025 Conference Withdrawn SubmissionEveryoneRevisionsBibTeXCC BY 4.0
Keywords: GNNs, Self-Supervised Learning, Deep Learning
TL;DR: Creating edges on non-graphical data and training a GNN for provable performance improvement.
Abstract: Graph Neural Networks (GNNs) are widely recognized as leading architectures for addressing classification problems involving graphical data. In this thesis, we formally define the challenge of effectively constructing edges within a dataset and training a GNN over this graph and introduce SHIKI - a novel method to tackle this task. We provide a comprehensive theoretical analysis demonstrating how graph convolutions can improve expected performance by leveraging edges. Our study focuses on the node classification problem within a non-linearly separable Gaussian mixture model, combined with a stochastic block model, and we visually demonstrate its applicability to real-world datasets. Specifically, we show that a single graph convolution in the second layer can reduce the expected loss when applying a heuristic for edge creation. We validate our findings through extensive experiments on both synthetic and real-world datasets, including those related to the entity matching problem and textual review classification. For the synthetic data, we conduct experiments based on the dataset's difficulty and various hyperparameters in our method, drawing connections between the two. Additionally, we perform an ablation study by systematically removing components of our method and testing the resulting degraded approach, which highlights the necessity of our full method. We employ several GNN architectures in the experiments, including GCN, GraphSAGE, and GAT.
Primary Area: unsupervised, self-supervised, semi-supervised, and supervised representation learning
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Submission Number: 7614
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