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Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

Data Analysis, Statistics and Probability · Physics 2016-02-17 Alexander K. Hartmann

We study the data selection problem, whose aim is to select a small representative subset of data that can be used to efficiently train a machine learning model. We present a new data selection approach based on $k$-means clustering and…

We construct a method by which we can calculate the precision with which an algorithm identifies the shape of a cluster. We present our results for several well known clustering algorithms and suggest ways to improve performance for newer…

Computational Geometry · Computer Science 2017-07-27 Clark Alexander , Sofya Akhmametyeva

The nonparametric formulation of density-based clustering, known as modal clustering, draws a correspondence between groups and the attraction domains of the modes of the density function underlying the data. Its probabilistic foundation…

Methodology · Statistics 2020-10-27 Federico Ferraccioli , Giovanna Menardi

Deep clustering, a method for partitioning complex, high-dimensional data using deep neural networks, presents unique evaluation challenges. Traditional clustering validation measures, designed for low-dimensional spaces, are problematic…

Machine Learning · Statistics 2024-03-25 Zeya Wang , Chenglong Ye

Existing clustering methods are based on a single granularity of information, such as the distance and density of each data. This most fine-grained based approach is usually inefficient and susceptible to noise. Inspired by adaptive process…

Machine Learning · Computer Science 2023-03-03 Shuyin Xia , Jiang Xie , Guoyin Wang

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

Data clustering involves identifying latent similarities within a dataset and organizing them into clusters or groups. The outcomes of various clustering algorithms differ as they are susceptible to the intrinsic characteristics of the…

Machine Learning · Computer Science 2024-07-31 Bryar A. Hassan , Noor Bahjat Tayfor , Alla A. Hassan , Aram M. Ahmed , Tarik A. Rashid , Naz N. Abdalla

We develop hard clustering based on likelihood rather than distance and prove convergence. We also provide simulations and real data examples.

Machine Learning · Statistics 2024-09-12 Zuogong Yue , Victor Solo

Clustering is an essential task to unsupervised learning. It tries to automatically separate instances into coherent subsets. As one of the most well-known clustering algorithms, k-means assigns sample points at the boundary to a unique…

Machine Learning · Computer Science 2022-02-22 Sixiao Zheng , Ke Fan , Yanxi Hou , Jianfeng Feng , Yanwei Fu

In the context of recent deep clustering studies, discriminative models dominate the literature and report the most competitive performances. These models learn a deep discriminative neural network classifier in which the labels are latent.…

Machine Learning · Computer Science 2019-12-17 Mohammed Jabi , Marco Pedersoli , Amar Mitiche , Ismail Ben Ayed

In recent work we presented a new approach to the analysis of weighted networks, by providing a straightforward generalization of any network measure defined on unweighted networks. This approach is based on the translation of a weighted…

Data Analysis, Statistics and Probability · Physics 2008-06-05 S. E. Ahnert , D. Garlaschelli , T. M. A. Fink , G. Caldarelli

The K-means algorithm is among the most commonly used data clustering methods. However, the regular K-means can only be applied in the input space and it is applicable when clusters are linearly separable. The kernel K-means, which extends…

Machine Learning · Computer Science 2020-12-08 Amir Aradnia , Maryam Amir Haeri , Mohammad Mehdi Ebadzadeh

Cluster analysis has attracted more and more attention in the field of machine learning and data mining. Numerous clustering algorithms have been proposed and are being developed due to diverse theories and various requirements of emerging…

Machine Learning · Computer Science 2016-01-18 Jian Yu , Zongben Xu

Clustering is the task of gathering similar data samples into clusters without using any predefined labels. It has been widely studied in machine learning literature, and recent advancements in deep learning have revived interest in this…

Machine Learning · Computer Science 2023-09-04 Mohammadreza Sadeghi , Hadi Hojjati , Narges Armanfard

Multi-model fitting has been extensively studied from the random sampling and clustering perspectives. Most assume that only a single type/class of model is present and their generalizations to fitting multiple types of models/structures…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Xun Xu , Loong-Fah Cheong , Zhuwen Li

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

The goal of lifetime clustering is to develop an inductive model that maps subjects into $K$ clusters according to their underlying (unobserved) lifetime distribution. We introduce a neural-network based lifetime clustering model that can…

Machine Learning · Computer Science 2019-10-03 S Chandra Mouli , Leonardo Teixeira , Jennifer Neville , Bruno Ribeiro

This paper investigates the validity of Kleinberg's axioms for clustering functions with respect to the quite popular clustering algorithm called $k$-means. While Kleinberg's axioms have been discussed heavily in the past, we concentrate…

Machine Learning · Computer Science 2017-04-25 Robert Kłopotek , Mieczysław Kłopotek

We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial optimization…

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