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Graph neural network (GNN) explainers identify the important subgraph that ensures the prediction for a given graph. Until now, almost all GNN explainers are based on association, which is prone to spurious correlations. We propose {\name},…

机器学习 · 计算机科学 2024-07-15 Arman Behnam , Binghui Wang

We consider a variant of the clustering problem for a complete weighted graph. The aim is to partition the nodes into clusters maximizing the sum of the edge weights within the clusters. This problem is known as the clique partitioning…

社会与信息网络 · 计算机科学 2023-09-15 Alexander Belyi , Stanislav Sobolevsky , Alexander Kurbatski , Carlo Ratti

Graph convolution networks (GCN) have emerged as the leading method to classify node classes in networks, and have reached the highest accuracy in multiple node classification tasks. In the absence of available tagged samples, active…

机器学习 · 计算机科学 2019-06-21 Roy Abel , Yoram Louzoun

Finding the clique of maximum cardinality in an arbitrary graph is an NP-Hard problem that has many applications, which has motivated studies to solve it exactly despite its difficulty. The great majority of algorithms proposed in the…

数据结构与算法 · 计算机科学 2015-05-29 Ricardo C. Corrêa , Philippe Michelon , Bertrand Le Cun , Thierry Mautor , Diego Delle Donne

In this work, we aim to classify nodes of unstructured peer-to-peer networks with communication uncertainty, such as users of decentralized social networks. Graph Neural Networks (GNNs) are known to improve the accuracy of simple…

机器学习 · 计算机科学 2022-03-17 Emmanouil Krasanakis , Symeon Papadopoulos , Ioannis Kompatsiaris

Combinatorial optimization problems are typically tackled by the branch-and-bound paradigm. We propose a new graph convolutional neural network model for learning branch-and-bound variable selection policies, which leverages the natural…

机器学习 · 计算机科学 2019-10-31 Maxime Gasse , Didier Chételat , Nicola Ferroni , Laurent Charlin , Andrea Lodi

Learning graph-structured data with graph neural networks (GNNs) has been recently emerging as an important field because of its wide applicability in bioinformatics, chemoinformatics, social network analysis and data mining. Recent GNN…

机器学习 · 计算机科学 2021-12-16 Cheolhyeong Kim , Haeseong Moon , Hyung Ju Hwang

When searching for characteristic subpatterns in potentially noisy graph data, it appears self-evident that having multiple observations would be better than having just one. However, it turns out that the inconsistencies introduced when…

机器学习 · 计算机科学 2012-06-22 Novi Quadrianto , Chao Chen , Christoph Lampert

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

机器学习 · 统计学 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

Graph coloring, a classical and critical NP-hard problem, is the problem of assigning connected nodes as different colors as possible. However, we observe that state-of-the-art GNNs are less successful in the graph coloring problem. We…

机器学习 · 计算机科学 2022-08-22 Wei Li , Ruxuan Li , Yuzhe Ma , Siu On Chan , David Pan , Bei Yu

The $H$-Coloring problem is a well-known generalization of the classical NP-complete problem $k$-Coloring where the task is to determine whether an input graph admits a homomorphism to the template graph $H$. This problem has been the…

计算复杂性 · 计算机科学 2025-09-08 Ambroise Baril , Miguel Couceiro , Victor Lagerkvist

Graph neural architecture search has sparked much attention as Graph Neural Networks (GNNs) have shown powerful reasoning capability in many relational tasks. However, the currently used graph search space overemphasizes learning node…

机器学习 · 计算机科学 2022-06-01 Shaofei Cai , Liang Li , Xinzhe Han , Jiebo Luo , Zheng-Jun Zha , Qingming Huang

Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely connected structures with applications to bio-informatics and social…

数据结构与算法 · 计算机科学 2020-02-04 Seyed-Vahid Sanei-Mehri , Apurba Das , Srikanta Tirthapura

In a distinguishing problem, the input is a sample drawn from one of two distributions and the algorithm is tasked with identifying the source distribution. The performance of a distinguishing algorithm is measured by its advantage, i.e.,…

计算复杂性 · 计算机科学 2025-07-22 Ansh Nagda , Prasad Raghavendra

We propose a fast, parallel maximum clique algorithm for large sparse graphs that is designed to exploit characteristics of social and information networks. The method exhibits a roughly linear runtime scaling over real-world networks…

社会与信息网络 · 计算机科学 2013-12-30 Ryan A. Rossi , David F. Gleich , Assefaw H. Gebremedhin , Md. Mostofa Ali Patwary

Recent advances in neural algorithmic reasoning with graph neural networks (GNNs) are propped up by the notion of algorithmic alignment. Broadly, a neural network will be better at learning to execute a reasoning task (in terms of sample…

机器学习 · 计算机科学 2022-10-12 Andrew Dudzik , Petar Veličković

As it follows from G\"odel's incompleteness theorems, any consistent formal system of axioms and rules of inference should imply a true unprovable statement. Actually, this fundamental principle can be efficiently applicable in…

数据结构与算法 · 计算机科学 2020-11-25 Roman Galay , Daniil Kalistratov

Message Passing Neural Networks (MPNNs) are a staple of graph machine learning. MPNNs iteratively update each node's representation in an input graph by aggregating messages from the node's neighbors, which necessitates a memory complexity…

机器学习 · 计算机科学 2024-12-24 Ben Finkelshtein , İsmail İlkan Ceylan , Michael Bronstein , Ron Levie

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over recent years. Instance-level GNN explanation aims to discover critical input elements, like nodes or edges, that the target GNN…

机器学习 · 计算机科学 2022-12-20 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

Circuit link prediction, which identifies missing component connections from incomplete netlists, is crucial in analog circuit design automation. However, existing methods face three main challenges: 1) Insufficient use of topological…

硬件体系结构 · 计算机科学 2025-11-19 Guanyuan Pan , Tiansheng Zhou , Jianxiang Zhao , Zhi Li , Yugui Lin , Bingtao Ma , Yaqi Wang , Pietro Liò , Shuai Wang