MuseGNN: Forming Scalable, Convergent GNN Layers that Minimize a Sampling-Based Energy

Fuente: arXiv
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Main Authors: Jiang, Haitian, Liu, Renjie, Huang, Zengfeng, Wang, Yichuan, Yan, Xiao, Cai, Zhenkun, Wang, Minjie, Wipf, David
Format: Preprint
Published: 2023
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author Jiang, Haitian
Liu, Renjie
Huang, Zengfeng
Wang, Yichuan
Yan, Xiao
Cai, Zhenkun
Wang, Minjie
Wipf, David
author_facet Jiang, Haitian
Liu, Renjie
Huang, Zengfeng
Wang, Yichuan
Yan, Xiao
Cai, Zhenkun
Wang, Minjie
Wipf, David
contents Among the many variants of graph neural network (GNN) architectures capable of modeling data with cross-instance relations, an important subclass involves layers designed such that the forward pass iteratively reduces a graph-regularized energy function of interest. In this way, node embeddings produced at the output layer dually serve as both predictive features for solving downstream tasks (e.g., node classification) and energy function minimizers that inherit transparent, exploitable inductive biases and interpretability. However, scaling GNN architectures constructed in this way remains challenging, in part because the convergence of the forward pass may involve models with considerable depth. To tackle this limitation, we propose a sampling-based energy function and scalable GNN layers that iteratively reduce it, guided by convergence guarantees in certain settings. We also instantiate a full GNN architecture based on these designs, and the model achieves competitive accuracy and scalability when applied to the largest publicly-available node classification benchmark exceeding 1TB in size. Our source code is available at https://github.com/haitian-jiang/MuseGNN.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12457
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle MuseGNN: Forming Scalable, Convergent GNN Layers that Minimize a Sampling-Based Energy
Jiang, Haitian
Liu, Renjie
Huang, Zengfeng
Wang, Yichuan
Yan, Xiao
Cai, Zhenkun
Wang, Minjie
Wipf, David
Machine Learning
Among the many variants of graph neural network (GNN) architectures capable of modeling data with cross-instance relations, an important subclass involves layers designed such that the forward pass iteratively reduces a graph-regularized energy function of interest. In this way, node embeddings produced at the output layer dually serve as both predictive features for solving downstream tasks (e.g., node classification) and energy function minimizers that inherit transparent, exploitable inductive biases and interpretability. However, scaling GNN architectures constructed in this way remains challenging, in part because the convergence of the forward pass may involve models with considerable depth. To tackle this limitation, we propose a sampling-based energy function and scalable GNN layers that iteratively reduce it, guided by convergence guarantees in certain settings. We also instantiate a full GNN architecture based on these designs, and the model achieves competitive accuracy and scalability when applied to the largest publicly-available node classification benchmark exceeding 1TB in size. Our source code is available at https://github.com/haitian-jiang/MuseGNN.
title MuseGNN: Forming Scalable, Convergent GNN Layers that Minimize a Sampling-Based Energy
topic Machine Learning
url https://arxiv.org/abs/2310.12457