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Related papers: Shift of Pairwise Similarities for Data Clustering

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A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

Methodology · Statistics 2020-06-24 Serhat Emre Akhanli , Christian Hennig

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings of the same data set become relevant. For example, different algorithms for the same clustering task may return…

Optimization and Control · Mathematics 2020-04-06 Steffen Borgwardt , Charles Viss

Convolutional networks are at the center of best-in-class computer vision applications for a wide assortment of undertakings. Since 2014, a profound amount of work began to make better convolutional architectures, yielding generous…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Dishant Parikh

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

Machine Learning · Computer Science 2022-08-30 Miao Cheng , Xinge You

Mean shift is a simple interactive procedure that gradually shifts data points towards the mode which denotes the highest density of data points in the region. Mean shift algorithms have been effectively used for data denoising, mode…

Machine Learning · Computer Science 2021-05-11 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

Clustering is considered a non-supervised learning setting, in which the goal is to partition a collection of data points into disjoint clusters. Often a bound $k$ on the number of clusters is given or assumed by the practitioner. Many…

Machine Learning · Computer Science 2012-02-01 Nir Ailon , Ron Begleiter

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Information Retrieval systems can be improved by exploiting context information such as user and document features. This article presents a model based on overlapping probabilistic or fuzzy clusters for such features. The model is applied…

Human-Computer Interaction · Computer Science 2011-02-21 Thomas Mandl , Christa Womser-Hacker

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

A well-known metric for quantifying the similarity between two clusterings is the adjusted mutual information. Compared to mutual information, a corrective term based on random permutations of the labels is introduced, preventing two…

Machine Learning · Computer Science 2021-03-24 Denys Lazarenko , Thomas Bonald

There is a wide variety of data mining methods available, and it is generally useful in exploratory data analysis to use many different methods for the same dataset. This, however, leads to the problem of whether the results found by one…

Machine Learning · Computer Science 2020-06-18 Sami Hanhijärvi , Markus Ojala , Niko Vuokko , Kai Puolamäki , Nikolaj Tatti , Heikki Mannila

This paper presents a new, parallel implementation of clustering and demonstrates its utility in greatly speeding up the process of identifying homologous proteins. Clustering is a technique to reduce the number of comparison needed to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Stuart Byma , Akash Dhasade , Adrian Altenhoff , Christophe Dessimoz , James R. Larus

This study addresses the problem of performing clustering in the presence of two types of background knowledge: pairwise constraints and monotonicity constraints. To achieve this, the formal framework to perform clustering under…

Clustering is a fundamental building block of modern statistical analysis pipelines. Fair clustering has seen much attention from the machine learning community in recent years. We are some of the first to study fairness in the context of…

Machine Learning · Computer Science 2023-05-11 Marina Knittel , Max Springer , John P. Dickerson , MohammadTaghi Hajiaghayi

Subspace clustering methods based on $\ell_1$, $\ell_2$ or nuclear norm regularization have become very popular due to their simplicity, theoretical guarantees and empirical success. However, the choice of the regularizer can greatly impact…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Chong You , Daniel P. Robinson , Rene Vidal

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

Machine Learning · Computer Science 2023-11-07 Mengyuan Zhang , Kai Liu

In many statistical linear inverse problems, one needs to recover classes of similar curves from their noisy images under an operator that does not have a bounded inverse. Problems of this kind appear in many areas of application.…

Statistics Theory · Mathematics 2020-03-24 Rasika Rajapakshage , Marianna Pensky

Clustering algorithms are an essential part of the unsupervised data science ecosystem, and extrinsic evaluation of clustering algorithms requires a method for comparing the detected clustering to a ground truth clustering. In a general…

Machine Learning · Computer Science 2026-03-23 Ryan DeWolfe , Paweł Prałat , François Théberge