LGMLJul 5, 2023

Robust Graph Structure Learning with the Alignment of Features and Adjacency Matrix

arXiv:2307.02126v14 citationsh-index: 17
Originality Incremental advance
AI Analysis

This work addresses robustness issues in graph neural networks for applications dealing with noisy graph data, representing an incremental improvement with a new regularization method.

The paper tackles the problem of noisy graph structures in graph neural networks by proposing a novel graph structure learning approach that aligns feature and adjacency information, achieving superior performance over baselines on real-world datasets, especially under heavy noise.

To improve the robustness of graph neural networks (GNN), graph structure learning (GSL) has attracted great interest due to the pervasiveness of noise in graph data. Many approaches have been proposed for GSL to jointly learn a clean graph structure and corresponding representations. To extend the previous work, this paper proposes a novel regularized GSL approach, particularly with an alignment of feature information and graph information, which is motivated mainly by our derived lower bound of node-level Rademacher complexity for GNNs. Additionally, our proposed approach incorporates sparse dimensional reduction to leverage low-dimensional node features that are relevant to the graph structure. To evaluate the effectiveness of our approach, we conduct experiments on real-world graphs. The results demonstrate that our proposed GSL method outperforms several competitive baselines, especially in scenarios where the graph structures are heavily affected by noise. Overall, our research highlights the importance of integrating feature and graph information alignment in GSL, as inspired by our derived theoretical result, and showcases the superiority of our approach in handling noisy graph structures through comprehensive experiments on real-world datasets.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes