Reducing Oversmoothing through Informed Weight Initialization in Graph Neural Networks
- URL: http://arxiv.org/abs/2410.23830v1
- Date: Thu, 31 Oct 2024 11:21:20 GMT
- Title: Reducing Oversmoothing through Informed Weight Initialization in Graph Neural Networks
- Authors: Dimitrios Kelesis, Dimitris Fotakis, Georgios Paliouras,
- Abstract summary: We propose a new scheme (G-Init) that reduces oversmoothing, leading to very good results in node and graph classification tasks.
Our results indicate that the new method (G-Init) reduces oversmoothing in deep GNNs, facilitating their effective use.
- Score: 16.745718346575202
- License:
- Abstract: In this work, we generalize the ideas of Kaiming initialization to Graph Neural Networks (GNNs) and propose a new scheme (G-Init) that reduces oversmoothing, leading to very good results in node and graph classification tasks. GNNs are commonly initialized using methods designed for other types of Neural Networks, overlooking the underlying graph topology. We analyze theoretically the variance of signals flowing forward and gradients flowing backward in the class of convolutional GNNs. We then simplify our analysis to the case of the GCN and propose a new initialization method. Our results indicate that the new method (G-Init) reduces oversmoothing in deep GNNs, facilitating their effective use. Experimental validation supports our theoretical findings, demonstrating the advantages of deep networks in scenarios with no feature information for unlabeled nodes (i.e., ``cold start'' scenario).
Related papers
- Graph Neural Networks Do Not Always Oversmooth [46.57665708260211]
We study oversmoothing in graph convolutional networks (GCNs) by using their Gaussian process (GP) equivalence in the limit of infinitely many hidden features.
We identify a new, non-oversmoothing phase: if the initial weights of the network have sufficiently large variance, GCNs do not oversmooth, and node features remain informative even at large depth.
arXiv Detail & Related papers (2024-06-04T12:47:13Z) - On the Initialization of Graph Neural Networks [10.153841274798829]
We analyze the variance of forward and backward propagation across Graph Neural Networks layers.
We propose a new method for Variance Instability Reduction within GNN Optimization (Virgo)
We conduct comprehensive experiments on 15 datasets to show that Virgo can lead to superior model performance.
arXiv Detail & Related papers (2023-12-05T09:55:49Z) - DEGREE: Decomposition Based Explanation For Graph Neural Networks [55.38873296761104]
We propose DEGREE to provide a faithful explanation for GNN predictions.
By decomposing the information generation and aggregation mechanism of GNNs, DEGREE allows tracking the contributions of specific components of the input graph to the final prediction.
We also design a subgraph level interpretation algorithm to reveal complex interactions between graph nodes that are overlooked by previous methods.
arXiv Detail & Related papers (2023-05-22T10:29:52Z) - Anomal-E: A Self-Supervised Network Intrusion Detection System based on
Graph Neural Networks [0.0]
This paper investigates Graph Neural Networks (GNNs) application for self-supervised network intrusion and anomaly detection.
GNNs are a deep learning approach for graph-based data that incorporate graph structures into learning.
We present Anomal-E, a GNN approach to intrusion and anomaly detection that leverages edge features and graph topological structure in a self-supervised process.
arXiv Detail & Related papers (2022-07-14T10:59:39Z) - Overcoming Catastrophic Forgetting in Graph Neural Networks [50.900153089330175]
Catastrophic forgetting refers to the tendency that a neural network "forgets" the previous learned knowledge upon learning new tasks.
We propose a novel scheme dedicated to overcoming this problem and hence strengthen continual learning in graph neural networks (GNNs)
At the heart of our approach is a generic module, termed as topology-aware weight preserving(TWP)
arXiv Detail & Related papers (2020-12-10T22:30:25Z) - Learning Graph Neural Networks with Approximate Gradient Descent [24.49427608361397]
Two types of graph neural networks (GNNs) are investigated, depending on whether labels are attached to nodes or graphs.
A comprehensive framework for designing and analyzing convergence of GNN training algorithms is developed.
The proposed algorithm guarantees a linear convergence rate to the underlying true parameters of GNNs.
arXiv Detail & Related papers (2020-12-07T02:54:48Z) - Learning to Drop: Robust Graph Neural Network via Topological Denoising [50.81722989898142]
We propose PTDNet, a parameterized topological denoising network, to improve the robustness and generalization performance of Graph Neural Networks (GNNs)
PTDNet prunes task-irrelevant edges by penalizing the number of edges in the sparsified graph with parameterized networks.
We show that PTDNet can improve the performance of GNNs significantly and the performance gain becomes larger for more noisy datasets.
arXiv Detail & Related papers (2020-11-13T18:53:21Z) - A Unified View on Graph Neural Networks as Graph Signal Denoising [49.980783124401555]
Graph Neural Networks (GNNs) have risen to prominence in learning representations for graph structured data.
In this work, we establish mathematically that the aggregation processes in a group of representative GNN models can be regarded as solving a graph denoising problem.
We instantiate a novel GNN model, ADA-UGNN, derived from UGNN, to handle graphs with adaptive smoothness across nodes.
arXiv Detail & Related papers (2020-10-05T04:57:18Z) - Fast Learning of Graph Neural Networks with Guaranteed Generalizability:
One-hidden-layer Case [93.37576644429578]
Graph neural networks (GNNs) have made great progress recently on learning from graph-structured data in practice.
We provide a theoretically-grounded generalizability analysis of GNNs with one hidden layer for both regression and binary classification problems.
arXiv Detail & Related papers (2020-06-25T00:45:52Z) - Graph Neural Networks for Motion Planning [108.51253840181677]
We present two techniques, GNNs over dense fixed graphs for low-dimensional problems and sampling-based GNNs for high-dimensional problems.
We examine the ability of a GNN to tackle planning problems such as identifying critical nodes or learning the sampling distribution in Rapidly-exploring Random Trees (RRT)
Experiments with critical sampling, a pendulum and a six DoF robot arm show GNNs improve on traditional analytic methods as well as learning approaches using fully-connected or convolutional neural networks.
arXiv Detail & Related papers (2020-06-11T08:19:06Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.