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Clustering mixtures of Gaussian distributions is a fundamental and challenging problem that is ubiquitous in various high-dimensional data processing tasks. While state-of-the-art work on learning Gaussian mixture models has focused…

机器学习 · 计算机科学 2018-03-05 Dan Kushnir , Shirin Jalali , Iraj Saniee

Deep image clustering methods are typically evaluated on small-scale balanced classification datasets while feature-based $k$-means has been applied on proprietary billion-scale datasets. In this work, we explore the performance of…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Nikolas Adaloglou , Felix Michels , Kaspar Senft , Diana Petrusheva , Markus Kollmann

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

机器学习 · 计算机科学 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

The problem of data clustering is one of the most important in data analysis. It can be problematic when dealing with experimental data characterized by measurement uncertainties and errors. Our paper proposes a recursive scheme for…

机器学习 · 计算机科学 2024-01-12 Alicja Miniak-Górecka , Krzysztof Podlaski , Tomasz Gwizdałła

Clustering has been a major research topic in the field of machine learning, one to which Deep Learning has recently been applied with significant success. However, an aspect of clustering that is not addressed by existing deep clustering…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Ioannis Maniadis Metaxas , Georgios Tzimiropoulos , Ioannis Patras

AI-enabled precision medicine promises a transformational improvement in healthcare outcomes by enabling data-driven personalized diagnosis, prognosis, and treatment. However, the well-known "curse of dimensionality" and the clustered…

机器学习 · 计算机科学 2023-05-19 Amanda M. Buch , Conor Liston , Logan Grosenick

We investigate a clustering problem with data from a mixture of Gaussians that share a common but unknown, and potentially ill-conditioned, covariance matrix. We start by considering Gaussian mixtures with two equally-sized components and…

机器学习 · 统计学 2021-11-30 Damek Davis , Mateo Díaz , Kaizheng Wang

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…

统计方法学 · 统计学 2020-06-24 Serhat Emre Akhanli , Christian Hennig

We consider the problem of clustering with $K$-means and Gaussian mixture models with a constraint on the separation between the centers in the context of real-valued data. We first propose a dynamic programming approach to solving the…

统计计算 · 统计学 2023-01-24 He Jiang , Ery Arias-Castro

A Bernoulli Mixture Model (BMM) is a finite mixture of random binary vectors with independent dimensions. The problem of clustering BMM data arises in a variety of real-world applications, ranging from population genetics to activity…

机器学习 · 计算机科学 2019-06-18 Amir Najafi , Abolfazl Motahari , Hamid R. Rabiee

Weak gravitational lensing has been used extensively in the past decade to constrain the masses of galaxy clusters, and is the most promising observational technique for providing the mass calibration necessary for precision cosmology with…

宇宙学与河外天体物理 · 物理学 2015-05-14 Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , Robert E. Smith

A measure of distance between two clusterings has important applications, including clustering validation and ensemble clustering. Generally, such distance measure provides navigation through the space of possible clusterings. Mostly used…

社会与信息网络 · 计算机科学 2015-09-01 Reihaneh Rabbany , Osmar R. Zaïane

Because of its mathematical tractability, the Gaussian mixture model holds a special place in the literature for clustering and classification. For all its benefits, however, the Gaussian mixture model poses problems when the data is skewed…

应用统计 · 统计学 2020-11-19 Michael P. B. Gallaugher , Paul D. McNicholas , Volodymyr Melnykov , Xuwen Zhu

This paper presents a comparative analysis of different optimization techniques for the K-means algorithm in the context of big data. K-means is a widely used clustering algorithm, but it can suffer from scalability issues when dealing with…

机器学习 · 计算机科学 2024-05-21 Ravil Mussabayev , Rustam Mussabayev

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

应用统计 · 统计学 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

统计方法学 · 统计学 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

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…

机器学习 · 计算机科学 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

Clustering is an important tool for data exploration where the goal is to subdivide a data set into disjoint clusters that fit well into the underlying data structure. When dealing with sensitive data, privacy-preserving algorithms aim to…

密码学与安全 · 计算机科学 2024-08-21 Johannes Liebenow , Yara Schütt , Tanya Braun , Marcel Gehrke , Florian Thaeter , Esfandiar Mohammadi

Incremental K-means and DBSCAN are two very important and popular clustering techniques for today's large dynamic databases (Data warehouses, WWW and so on) where data are changed at random fashion. The performance of the incremental…

数据库 · 计算机科学 2014-06-19 Sanjay Chakraborty , N. K. Nagwani , Lopamudra Dey

We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…