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Local feature matching is a critical component of many computer vision pipelines, including among others Structure-from-Motion, SLAM, and Visual Localization. However, due to limitations in the descriptors, raw matches are often…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Luca Cavalli , Viktor Larsson , Martin Ralf Oswald , Torsten Sattler , Marc Pollefeys

In real world, our datasets often contain outliers. Moreover, the outliers can seriously affect the final machine learning result. Most existing algorithms for handling outliers take high time complexities (e.g. quadratic or cubic…

Computational Geometry · Computer Science 2020-02-28 Hu Ding , Zixiu Wang

Graph matching---aligning a pair of graphs to minimize their edge disagreements---has received wide-spread attention from both theoretical and applied communities over the past several decades, including combinatorics, computer vision, and…

The presence of outliers can prevent clustering algorithms from accurately determining an appropriate group structure within a data set. We present outlierMBC, a model-based approach for sequentially removing outliers and clustering the…

Methodology · Statistics 2025-06-30 Ultán P. Doherty , Paul D. McNicholas , Arthur White

We investigate sublinear-time algorithms that take partially erased graphs represented by adjacency lists as input. Our algorithms make degree and neighbor queries to the input graph and work with a specified fraction of adversarial…

Data Structures and Algorithms · Computer Science 2020-12-01 Amit Levi , Ramesh Krishnan S. Pallavoor , Sofya Raskhodnikova , Nithin Varma

Subgraph matching is a fundamental problem in graph analysis with a wide range of applications. However, due to its inherent NP-hardness, enumerating subgraph matches efficiently on large real-world graphs remains highly challenging. Most…

Databases · Computer Science 2026-03-11 Linglin Yang , Xunbin Su , Lei Zou , Xiangyang Gou , Yinnian Lin

Classical graph matching aims to find a node correspondence between two unlabeled graphs of known topologies. This problem has a wide range of applications, from matching identities in social networks to identifying similar biological…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Hang Liu , Anna Scaglione , Hoi-To Wai

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Deep neural networks have achieved great success in classification tasks during the last years. However, one major problem to the path towards artificial intelligence is the inability of neural networks to accurately detect samples from…

Machine Learning · Computer Science 2021-03-16 Aristotelis-Angelos Papadopoulos , Mohammad Reza Rajati , Nazim Shaikh , Jiamian Wang

Graph Attention Networks (GATs) are the state-of-the-art neural architecture for representation learning with graphs. GATs learn attention functions that assign weights to nodes so that different nodes have different influences in the…

Machine Learning · Computer Science 2019-10-29 Guangtao Wang , Rex Ying , Jing Huang , Jure Leskovec

The {\sc $c$-Balanced Separator} problem is a graph-partitioning problem in which given a graph $G$, one aims to find a cut of minimum size such that both the sides of the cut have at least $cn$ vertices. In this paper, we present new…

Data Structures and Algorithms · Computer Science 2010-11-22 Manjish Pal

The $k$-center problem for a point set~$P$ asks for a collection of $k$ congruent balls (that is, balls of equal radius) that together cover all the points in $P$ and whose radius is minimized. The $k$-center problem with outliers is…

Computational Geometry · Computer Science 2021-09-27 Mark de Berg , Morteza Monemizadeh , Yu Zhong

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

This paper considers the problem of matrix completion when the observed entries are noisy and contain outliers. It begins with introducing a new optimization criterion for which the recovered matrix is defined as its solution. This…

Machine Learning · Statistics 2017-12-29 Raymond K. W. Wong , Thomas C. M. Lee

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

Software Engineering · Computer Science 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

This paper presents a novel approach to visual tracking: Similarity Matching Ratio (SMR). The traditional approach of tracking is minimizing some measures of the difference between the template and a patch from the frame. This approach is…

Computer Vision and Pattern Recognition · Computer Science 2012-09-13 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

Machine Learning · Computer Science 2024-10-31 Philipp Röchner , Henrique O. Marques , Ricardo J. G. B. Campello , Arthur Zimek , Franz Rothlauf

This paper studies the problem of graph-level clustering, which is a novel yet challenging task. This problem is critical in a variety of real-world applications such as protein clustering and genome analysis in bioinformatics. Recent years…

Machine Learning · Computer Science 2023-03-09 Wei Ju , Yiyang Gu , Binqi Chen , Gongbo Sun , Yifang Qin , Xingyuming Liu , Xiao Luo , Ming Zhang

Graph contrastive learning algorithms have demonstrated remarkable success in various applications such as node classification, link prediction, and graph clustering. However, in unsupervised graph contrastive learning, some contrastive…

Machine Learning · Computer Science 2023-08-23 Kaili Ma , Haochen Yang , Han Yang , Yongqiang Chen , James Cheng
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