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This work introduces a refinement of the Parsimonious Model for fitting a Gaussian Mixture. The improvement is based on the consideration of clusters of the involved covariance matrices according to a criterion, such as sharing Principal…

Methodology · Statistics 2024-04-10 David Rodríguez-Vítores , Carlos Matrán

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

Many cluster similarity indices are used to evaluate clustering algorithms, and choosing the best one for a particular task remains an open problem. We demonstrate that this problem is crucial: there are many disagreements among the…

Discrete Mathematics · Computer Science 2021-08-27 Martijn Gösgens , Alexey Tikhonov , Liudmila Prokhorenkova

The clustering ensembles mingle numerous partitions of a specified data into a single clustering solution. Clustering ensemble has emerged as a potent approach for ameliorating both the forcefulness and the stability of unsupervised…

Computation and Language · Computer Science 2015-07-23 Rimah Amami , Ghaith Manita , Abir Smiti

Clustering is one of the most universal approaches for understanding complex data. A pivotal aspect of clustering analysis is quantitatively comparing clusterings; clustering comparison is the basis for many tasks such as clustering…

Machine Learning · Statistics 2019-06-13 Alexander J. Gates , Ian B. Wood , William P. Hetrick , Yong-Yeol Ahn

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

Statistics Theory · Mathematics 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

The discovery of discriminatory bias in human or automated decision making is a task of increasing importance and difficulty, exacerbated by the pervasive use of machine learning and data mining. Currently, discrimination discovery largely…

Computers and Society · Computer Science 2019-11-05 Bilal Qureshi , Faisal Kamiran , Asim Karim , Salvatore Ruggieri , Dino Pedreschi

Model selection is a strategy aimed at creating accurate and robust models. A key challenge in designing these algorithms is identifying the optimal model for classifying any particular input sample. This paper addresses this challenge and…

Machine Learning · Computer Science 2023-05-22 James Kotary , Vincenzo Di Vito , Ferdinando Fioretto

In this paper, we propose a simple algorithm to cluster nonnegative data lying in disjoint subspaces. We analyze its performance in relation to a certain measure of correlation between said subspaces. We use our clustering algorithm to…

Machine Learning · Statistics 2020-09-04 C. Strohmeier , D. Needell

We introduce the Neural Collaborative Subspace Clustering, a neural model that discovers clusters of data points drawn from a union of low-dimensional subspaces. In contrast to previous attempts, our model runs without the aid of spectral…

Computer Vision and Pattern Recognition · Computer Science 2019-04-25 Tong Zhang , Pan Ji , Mehrtash Harandi , Wenbing Huang , Hongdong Li

Clustering has become an indispensable tool in the presence of increasingly large and complex data sets. Most clustering algorithms depend, either explicitly or implicitly, on the sampled density. However, estimated densities are fragile…

Chemical Physics · Physics 2023-08-21 Moritz Thürlemann , Sereina Riniker

Hierarchical clustering is a class of algorithms that seeks to build a hierarchy of clusters. It has been the dominant approach to constructing embedded classification schemes since it outputs dendrograms, which capture the hierarchical…

Machine Learning · Statistics 2018-08-28 Xiaofei Ma , Satya Dhavala

A computational theory for clustering and a semi-supervised clustering algorithm is presented. Clustering is defined to be the obtainment of groupings of data such that each group contains no anomalies with respect to a chosen grouping…

Machine Learning · Computer Science 2025-07-17 Nassir Mohammad

Deep clustering methods improve the performance of clustering tasks by jointly optimizing deep representation learning and clustering. While numerous deep clustering algorithms have been proposed, most of them rely on artificially…

Machine Learning · Computer Science 2024-01-30 Zhanwen Cheng , Feijiang Li , Jieting Wang , Yuhua Qian

We introduce a fast and explainable clustering method called CLASSIX. It consists of two phases, namely a greedy aggregation phase of the sorted data into groups of nearby data points, followed by the merging of groups into clusters. The…

Machine Learning · Computer Science 2024-02-16 Xinye Chen , Stefan Güttel

A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

Econometrics · Economics 2020-01-31 Max Cytrynbaum

We study the problem of clustering with relative constraints, where each constraint specifies relative similarities among instances. In particular, each constraint $(x_i, x_j, x_k)$ is acquired by posing a query: is instance $x_i$ more…

Machine Learning · Computer Science 2015-01-05 Yuanli Pei , Xiaoli Z. Fern , Rómer Rosales , Teresa Vania Tjahja

This paper presents a novel clustering concept that is based on jointly learned nonlinear transforms (NTs) with priors on the information loss and the discrimination. We introduce a clustering principle that is based on evaluation of a…

Machine Learning · Computer Science 2019-01-31 Dimche Kostadinov , Behrooz Razeghi , Taras Holotyak , Slava Voloshynovskiy

Subspace clustering algorithms are used for understanding the cluster structure that explains the dataset well. These methods are extensively used for data-exploration tasks in various areas of Natural Sciences. However, most of these…

Machine Learning · Computer Science 2022-11-15 Ashutosh Singh , Ashish Singh , Aria Masoomi , Tales Imbiriba , Erik Learned-Miller , Deniz Erdogmus

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

Genomics · Quantitative Biology 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange