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A graph is regularizable if it is possible to assign weights to its edges so that all nodes have the same degree. Weights can be positive, nonnegative or arbitrary as soon as the regularization degree is not null. Positive and nonnegative…

Social and Information Networks · Computer Science 2017-07-03 Massimo Franceschet , Enrico Bozzo

We study the stable matching problem in non-bipartite graphs with incomplete but strict preference lists, where the edges have weights and the goal is to compute a stable matching of minimum or maximum weight. This problem is known to be…

Computer Science and Game Theory · Computer Science 2017-03-28 Linda Farczadi , Natália Guričanová

As graph data collected from the real world is merely noise-free, a practical representation of graphs should be robust to noise. Existing research usually focuses on feature smoothing but leaves the geometric structure untouched.…

Machine Learning · Computer Science 2021-11-08 Bingxin Zhou , Ruikun Li , Xuebin Zheng , Yu Guang Wang , Junbin Gao

Node classification on graphs is a significant task with a wide range of applications, including social analysis and anomaly detection. Even though graph neural networks (GNNs) have produced promising results on this task, current…

Machine Learning · Computer Science 2023-06-16 Jingyang Yuan , Xiao Luo , Yifang Qin , Yusheng Zhao , Wei Ju , Ming Zhang

Despite huge successes on a wide range of tasks, neural networks are known to sometimes struggle to generalise to unseen data. Many approaches have been proposed over the years to promote the generalisation ability of neural networks,…

Machine Learning · Computer Science 2026-02-02 Christiaan P. Opperman , Anna S. Bosman , Katherine M. Malan

Many probabilistic models that have an intractable normalizing constant may be extended to contain covariates. Since the evaluation of the exact likelihood is difficult or even impossible for these models, score matching was proposed to…

Statistics Theory · Mathematics 2022-03-21 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Graph attention networks estimate the relational importance of node neighbors to aggregate relevant information over local neighborhoods for a prediction task. However, the inferred attentions are vulnerable to spurious correlations and…

Machine Learning · Computer Science 2023-03-02 Alexander P. Wu , Thomas Markovich , Bonnie Berger , Nils Hammerla , Rohit Singh

The matching of multiple objects (e.g. shapes or images) is a fundamental problem in vision and graphics. In order to robustly handle ambiguities, noise and repetitive patterns in challenging real-world settings, it is essential to take…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Florian Bernard , Johan Thunberg , Paul Swoboda , Christian Theobalt

In multimodal graph learning, graph structures that integrate information from multiple sources, such as vision and text, can more comprehensively model complex entity relationships. However, the continuous growth of their data scale poses…

Machine Learning · Computer Science 2026-02-10 Lian Shen , Zhendan Chen , Meijia Song , Yinhui jiang , Ziming Su , Juan Liu , Xiangrong Liu

In this work, we present an end-to-end framework to settle data association in online Multiple-Object Tracking (MOT). Given detection responses, we formulate the frame-by-frame data association as Maximum Weighted Bipartite Matching…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Xiaolong Jiang , Peizhao Li , Yanjing Li , Xiantong Zhen

Graphs are used in almost every scientific discipline to express relations among a set of objects. Algorithms that compare graphs, and output a closeness score, or a correspondence among their nodes, are thus extremely important. Despite…

Discrete Mathematics · Computer Science 2020-11-17 Sam Safavi , José Bento

We have found that known community identification algorithms produce inconsistent communities when the node ordering changes at input. We propose two metrics to quantify the level of consistency across multiple runs of an algorithm:…

Physics and Society · Physics 2009-10-10 Haewoon Kwak , Young-Ho Eom , Yoonchan Choi , Hawoong Jeong , Sue Moon

Similarity search is a fundamental task for exploiting information in various applications dealing with graph data, such as citation networks or knowledge graphs. While this task has been intensively approached from heuristics to graph…

Machine Learning · Computer Science 2026-05-12 Daniel Daza , Cuong Xuan Chu , Trung-Kien Tran , Daria Stepanova , Michael Cochez , Paul Groth

Data association is at the core of many computer vision tasks, e.g., multiple object tracking, image matching, and point cloud registration. however, current data association solutions have some defects: they mostly ignore the intra-view…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang

Matching corresponding features between two images is a fundamental task to computer vision with numerous applications in object recognition, robotics, and 3D reconstruction. Current state of the art in image feature matching has focused on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Chen Zhao , Jiaqi Yang , Ke Xian , Zhiguo Cao , Xin Li

We study graph data augmentation by mixup, which has been used successfully on images. A key operation of mixup is to compute a convex combination of a pair of inputs. This operation is straightforward for grid-like data, such as images,…

Machine Learning · Computer Science 2023-06-13 Hongyi Ling , Zhimeng Jiang , Meng Liu , Shuiwang Ji , Na Zou

We consider the foundational problem of maintaining a $(1-\varepsilon)$-approximate maximum weight matching (MWM) in an $n$-node dynamic graph undergoing edge insertions and deletions. We provide a general reduction that reduces the problem…

Data Structures and Algorithms · Computer Science 2024-10-25 Aaron Bernstein , Jiale Chen , Aditi Dudeja , Zachary Langley , Aaron Sidford , Ta-Wei Tu

This paper addresses the Graph Matching problem, which consists of finding the best possible alignment between two input graphs, and has many applications in computer vision, network deanonymization and protein alignment. A common approach…

Machine Learning · Statistics 2024-08-12 Ernesto Araya Valdivia , Hemant Tyagi