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Main Authors: Tan, Xuwei, Zhou, Yangming, Zhou, MengChu, Fu, Zhang-Hua
Format: Preprint
Published: 2021
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Online Access:https://arxiv.org/abs/2112.03404
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author Tan, Xuwei
Zhou, Yangming
Zhou, MengChu
Fu, Zhang-Hua
author_facet Tan, Xuwei
Zhou, Yangming
Zhou, MengChu
Fu, Zhang-Hua
contents Detecting critical nodes in sparse graphs is important in a variety of application domains, such as network vulnerability assessment, epidemic control, and drug design. The critical node problem (CNP) aims to find a set of critical nodes from a network whose deletion maximally degrades the pairwise connectivity of the residual network. Due to its general NP-hard nature, state-of-the-art CNP solutions are based on heuristic approaches. Domain knowledge and trial-and-error are usually required when designing such approaches, thus consuming considerable effort and time. This work proposes a feature importance-aware graph attention network for node representation and combines it with dueling double deep Q-network to create an end-to-end algorithm to solve CNP for the first time. It does not need any problem-specific knowledge or labeled datasets as required by most of existing methods. Once the model is trained, it can be generalized to cope with various types of CNPs (with different sizes and topological structures) without re-training. Computational experiments on 28 real-world networks show that the proposed method is highly comparable to state-of-the-art methods. It does not require any problem-specific knowledge and, hence, can be applicable to many applications including those impossible ones by using the existing approaches. It can be combined with some local search methods to further improve its solution quality. Extensive comparison results are given to show its effectiveness in solving CNP.
format Preprint
id arxiv_https___arxiv_org_abs_2112_03404
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Learning to Detect Critical Nodes in Sparse Graphs via Feature Importance Awareness
Tan, Xuwei
Zhou, Yangming
Zhou, MengChu
Fu, Zhang-Hua
Machine Learning
Artificial Intelligence
Detecting critical nodes in sparse graphs is important in a variety of application domains, such as network vulnerability assessment, epidemic control, and drug design. The critical node problem (CNP) aims to find a set of critical nodes from a network whose deletion maximally degrades the pairwise connectivity of the residual network. Due to its general NP-hard nature, state-of-the-art CNP solutions are based on heuristic approaches. Domain knowledge and trial-and-error are usually required when designing such approaches, thus consuming considerable effort and time. This work proposes a feature importance-aware graph attention network for node representation and combines it with dueling double deep Q-network to create an end-to-end algorithm to solve CNP for the first time. It does not need any problem-specific knowledge or labeled datasets as required by most of existing methods. Once the model is trained, it can be generalized to cope with various types of CNPs (with different sizes and topological structures) without re-training. Computational experiments on 28 real-world networks show that the proposed method is highly comparable to state-of-the-art methods. It does not require any problem-specific knowledge and, hence, can be applicable to many applications including those impossible ones by using the existing approaches. It can be combined with some local search methods to further improve its solution quality. Extensive comparison results are given to show its effectiveness in solving CNP.
title Learning to Detect Critical Nodes in Sparse Graphs via Feature Importance Awareness
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2112.03404