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In this work we consider two two-criteria optimization problems: given an input graph, the goal is to find its interval (or chordal) supergraph that minimizes the number of edges and its clique number simultaneously. For the interval…

离散数学 · 计算机科学 2021-01-19 Dariusz Dereniowski , Adam Stański

The estimation of correspondences between two images resp. point sets is a core problem in computer vision. One way to formulate the problem is graph matching leading to the quadratic assignment problem which is NP-hard. Several so called…

计算机视觉与模式识别 · 计算机科学 2015-05-01 Quynh Nguyen , Antoine Gautier , Matthias Hein

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

计算与语言 · 计算机科学 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

Notions of graph similarity provide alternative perspective on the graph isomorphism problem and vice-versa. In this paper, we consider measures of similarity arising from mismatch norms as studied in Gervens and Grohe: the edit distance…

离散数学 · 计算机科学 2026-05-07 He Sun , Danny Vagnozzi

Subgraph matching is the problem of determining the presence and location(s) of a given query graph in a large target graph. Despite being an NP-complete problem, the subgraph matching problem is crucial in domains ranging from network…

机器学习 · 计算机科学 2020-10-28 Rex , Ying , Zhaoyu Lou , Jiaxuan You , Chengtao Wen , Arquimedes Canedo , Jure Leskovec

Temporal graphs are graphs where the topology and/or other properties of the graph change with time. They have been used to model applications with temporal information in various domains. Problems on static graphs become more challenging…

数据结构与算法 · 计算机科学 2022-02-02 Subhrangsu Mandal , Arobinda Gupta

This work presents a two-stage neural architecture for learning and refining structural correspondences between graphs. First, we use localized node embeddings computed by a graph neural network to obtain an initial ranking of soft…

机器学习 · 计算机科学 2020-01-28 Matthias Fey , Jan E. Lenssen , Christopher Morris , Jonathan Masci , Nils M. Kriege

3D scene graph generation (SGG) has been of high interest in computer vision. Although the accuracy of 3D SGG on coarse classification and single relation label has been gradually improved, the performance of existing works is still far…

计算机视觉与模式识别 · 计算机科学 2022-11-15 Yuanyuan Liu , Chengjiang Long , Zhaoxuan Zhang , Bokai Liu , Qiang Zhang , Baocai Yin , Xin Yang

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

社会与信息网络 · 计算机科学 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

Structured sparse optimization is an important and challenging problem for analyzing high-dimensional data in a variety of applications such as bioinformatics, medical imaging, social networks, and astronomy. Although a number of structured…

人工智能 · 计算机科学 2016-10-03 Baojian Zhou , Feng Chen

Graph kernels are usually defined in terms of simpler kernels over local substructures of the original graphs. Different kernels consider different types of substructures. However, in some cases they have similar predictive performances,…

机器学习 · 计算机科学 2016-07-22 Nicolò Navarin , Alessandro Sperduti , Riccardo Tesselli

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

机器学习 · 计算机科学 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

We present the Temporal Graph Benchmark (TGB), a collection of challenging and diverse benchmark datasets for realistic, reproducible, and robust evaluation of machine learning models on temporal graphs. TGB datasets are of large scale,…

We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. Graph methods…

物理与社会 · 物理学 2020-06-09 Sinan G. Aksoy , Cliff Joslyn , Carlos Ortiz Marrero , Brenda Praggastis , Emilie Purvine

The graph-based model can help to detect suspicious fraud online. Owing to the development of Graph Neural Networks~(GNNs), prior research work has proposed many GNN-based fraud detection frameworks based on either homogeneous graphs or…

社会与信息网络 · 计算机科学 2020-07-03 Zhiwei Liu , Yingtong Dou , Philip S. Yu , Yutong Deng , Hao Peng

Image matching is a key component of many tasks in computer vision and its main objective is to find correspondences between features extracted from different natural images. When images are represented as graphs, image matching boils down…

计算机视觉与模式识别 · 计算机科学 2022-05-31 Nancy Xu , Giannis Nikolentzos , Michalis Vazirgiannis , Henrik Boström

Network alignment is the task of establishing one-to-one correspondences between the nodes of different graphs. Although finding a plethora of applications in high-impact domains, this task is known to be NP-hard in its general form.…

机器学习 · 计算机科学 2024-11-20 Jiashu He , Charilaos I. Kanatsoulis , Alejandro Ribeiro

Higher-order features bring significant accuracy gains in semantic dependency parsing. However, modeling higher-order features with exact inference is NP-hard. Graph neural networks (GNNs) have been demonstrated to be an effective tool for…

计算与语言 · 计算机科学 2022-01-28 Bin Li , Yunlong Fan , Yikemaiti Sataer , Zhiqiang Gao

In colored graphs, node classes are often associated with either their neighbors class or with information not incorporated in the graph associated with each node. We here propose that node classes are also associated with topological…

社会与信息网络 · 计算机科学 2019-11-19 Roy Abel , Idan Benami , Yoram Louzoun

Graphs are a standard framework for describing dynamical processes shaped by pairwise interactions among agents. But many systems involve interactions in groups of three or more agents. Here, we develop a method of "$\ell$-hyperedge…

物理与社会 · 物理学 2026-05-25 Anzhi Sheng , Alex McAvoy , Ye Tian , Silun Zhang , Angela Fontan , Joshua B. Plotkin