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Anomaly detection and localization in images is a growing field in computer vision. In this area, a seemingly understudied problem is anomaly clustering, i.e., identifying and grouping different types of anomalies in a fully unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Andrei-Timotei Ardelean , Tim Weyrich

We consider the classic correlation clustering problem in the hierarchical setting. Given a complete graph $G=(V,E)$ and $\ell$ layers of input information, where the input of each layer consists of a nonnegative weight and a labeling of…

Data Structures and Algorithms · Computer Science 2025-04-10 Hyung-Chan An , Mong-Jen Kao , Changyeol Lee , Mu-Ting Lee

When faced with high frequency streams of data, clustering raises theoretical and algorithmic pitfalls. We introduce a new and adaptive online clustering algorithm relying on a quasi-Bayesian approach, with a dynamic (i.e., time-dependent)…

Machine Learning · Statistics 2018-09-24 Le Li , Benjamin Guedj , Sébastien Loustau

We study the following distribution clustering problem: Given a hidden partition of $k$ distributions into two groups, such that the distributions within each group are the same, and the two distributions associated with the two clusters…

Data Structures and Algorithms · Computer Science 2025-12-10 Gunjan Kumar , Yash Pote , Jonathan Scarlett

The deployment of machine learning models in operational contexts represents a significant investment for any organisation. Consequently, the risk of these models being misappropriated by competitors needs to be addressed. In recent years,…

Machine Learning · Computer Science 2025-05-26 Augustin Godinot , Erwan Le Merrer , Camilla Penzo , François Taïani , Gilles Trédan

Graph routing problems have been investigated extensively in operations research, computer science and engineering due to their ubiquity and vast applications. In this paper, we study constant approximation algorithms for some variations of…

Data Structures and Algorithms · Computer Science 2020-06-24 Xiaoyan Zhang , Donglei Du , Gregory Gutin , Qiaoxia Ming , Jian Sun

In the Categorical Clustering problem, we are given a set of vectors (matrix) A={a_1,\ldots,a_n} over \Sigma^m, where \Sigma is a finite alphabet, and integers k and B. The task is to partition A into k clusters such that the median…

Data Structures and Algorithms · Computer Science 2021-04-19 Fedor V. Fomin , Petr A. Golovach , Nidhi Purohit

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

The study of fingerprint individuality aims to determine to what extent a fingerprint uniquely identifies an individual. Recent court cases have highlighted the need for measures of fingerprint individuality when a person is identified…

Applications · Statistics 2010-09-30 Sarat C. Dass , Mingfei Li

The split feasibility problem is to find an element in the intersection of a closed set $C$ and the linear preimage of another closed set $D$, assuming the projections onto $C$ and $D$ are easy to compute. This class of problems arises…

Optimization and Control · Mathematics 2020-11-05 Chen Chen , Ting Kei Pong , Lulin Tan , Liaoyuan Zeng

Many application areas collect unstructured trajectory data. In subtrajectory clustering, one is interested to find patterns in this data using a hybrid combination of segmentation and clustering. We analyze two variants of this problem…

Computational Geometry · Computer Science 2025-04-25 Jacobus Conradi , Anne Driemel

Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix…

Data Structures and Algorithms · Computer Science 2016-05-24 Nicolas Tremblay , Gilles Puy , Remi Gribonval , Pierre Vandergheynst

Clustering graphs based on a comparison of the number of links within clusters and the expected value of this quantity in a random graph has gained a lot of attention and popularity in the last decade. Recently, Aldecoa and Marin proposed a…

Data Structures and Algorithms · Computer Science 2013-10-23 Tobias Fleck , Andrea Kappes , Dorothea Wagner

This work addresses the challenge of sub-pixel accuracy in detecting 2D local features, a cornerstone problem in computer vision. Despite the advancements brought by neural network-based methods like SuperPoint and ALIKED, these modern…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Shinjeong Kim , Marc Pollefeys , Daniel Barath

Hierarchical Clustering is a popular unsupervised machine learning method with decades of history and numerous applications. We initiate the study of differentially private approximation algorithms for hierarchical clustering under the…

Machine Learning · Computer Science 2023-05-25 Jacob Imola , Alessandro Epasto , Mohammad Mahdian , Vincent Cohen-Addad , Vahab Mirrokni

Latent fingerprints are important for identifying criminal suspects. However, recognizing a latent fingerprint in a collection of reference fingerprints remains a challenge. Most, if not all, of existing methods would extract representation…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Yanming Zhu , Xuefei Yin , Xiuping Jia , Jiankun Hu

Clustering images according to their acquisition devices is a well-known problem in multimedia forensics, which is typically faced by means of camera Sensor Pattern Noise (SPN). Such an issue is challenging since SPN is a noise-like signal,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Quoc-Tin Phan , Giulia Boato , Francesco G. B. De Natale

Estimating a constrained relation is a fundamental problem in machine learning. Special cases are classification (the problem of estimating a map from a set of to-be-classified elements to a set of labels), clustering (the problem of…

Machine Learning · Computer Science 2014-08-06 Lizhen Qu , Bjoern Andres

We propose a novel agglomerative clustering method based on unmasking, a technique that was previously used for authorship verification of text documents and for abnormal event detection in videos. In order to join two clusters, we…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Mariana-Iuliana Georgescu , Radu Tudor Ionescu

In the biclustering problem, we seek to simultaneously group observations and features. While biclustering has applications in a wide array of domains, ranging from text mining to collaborative filtering, the problem of identifying…

Methodology · Statistics 2018-06-07 Eric C. Chi , Genevera I. Allen , Richard G. Baraniuk