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High-dimensional datasets often contain multiple meaningful clusterings in different subspaces. For example, objects can be clustered either by color, weight, or size, revealing different interpretations of the given dataset. A variety of…

机器学习 · 计算机科学 2025-04-08 Collin Leiber , Dominik Mautz , Claudia Plant , Christian Böhm

Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

统计方法学 · 统计学 2025-09-15 Bettina Grün

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

机器学习 · 计算机科学 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

统计方法学 · 统计学 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

机器学习 · 统计学 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

统计方法学 · 统计学 2024-07-30 Alexander Dombowsky , David B. Dunson

This paper investigates the computational and statistical limits in clustering matrix-valued observations. We propose a low-rank mixture model (LrMM), adapted from the classical Gaussian mixture model (GMM) to treat matrix-valued…

统计理论 · 数学 2023-06-08 Zhongyuan Lyu , Dong Xia

In this study, we consider unsupervised clustering of categorical vectors that can be of different size using mixture. We use likelihood maximization to estimate the parameters of the underlying mixture model and a penalization technique to…

统计理论 · 数学 2017-09-08 Esther Derman , Erwan Le Pennec

Text Clustering is a text mining technique which divides the given set of text documents into significant clusters. It is used for organizing a huge number of text documents into a well-organized form. In the majority of the clustering…

信息检索 · 计算机科学 2015-03-12 G. Hannah Grace , Kalyani Desikan

In recent years, there has been a growing demand to discern clusters of subjects in datasets characterized by a large set of features. Often, these clusters may be highly variable in size and present partial hierarchical structures. In this…

统计方法学 · 统计学 2024-07-01 Lorenzo Schiavon , Mattia Stival

The goal of fair clustering is to find clusters such that the proportion of sensitive attributes (e.g., gender, race, etc.) in each cluster is similar to that of the entire dataset. Various fair clustering algorithms have been proposed that…

机器学习 · 统计学 2026-02-26 Jinwon Park , Kunwoong Kim , Jihu Lee , Yongdai Kim

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

To accelerate learning process with few samples, meta-learning resorts to prior knowledge from previous tasks. However, the inconsistent task distribution and heterogeneity is hard to be handled through a global sharing model…

机器学习 · 计算机科学 2022-06-22 Geng Li , Boyuan Ren , Hongzhi Wang

The majority of model-based clustering techniques is based on multivariate Normal models and their variants. In this paper copulas are used for the construction of flexible families of models for clustering applications. The use of copulas…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis , Dimitris Karlis

The increasing pervasiveness of social media creates new opportunities to study human social behavior, while challenging our capability to analyze their massive data streams. One of the emerging tasks is to distinguish between different…

社会与信息网络 · 计算机科学 2017-03-07 Emilio Ferrara , Mohsen JafariAsbagh , Onur Varol , Vahed Qazvinian , Filippo Menczer , Alessandro Flammini

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

机器学习 · 统计学 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

The data stream model has been defined for new classes of applications involving massive data being generated at a fast pace. Web click stream analysis and detection of network intrusions are two examples. Cluster analysis on data streams…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng , Joshua Zhexue Huang

In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

应用统计 · 统计学 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth

Finite mixtures of skew distributions provide a flexible tool for modelling heterogeneous data with asymmetric distributional features. However, parameter estimation via the Expectation-Maximization (EM) algorithm can become very…

统计计算 · 统计学 2016-08-10 Sharon X Lee , Kaleb L Leemaqz , Geoffrey J McLachlan

Growth mixture models are an important tool for detecting group structure in repeated measures data. Unlike traditional clustering methods, they explicitly model the repeat measurements on observations, and the statistical framework they…

统计方法学 · 统计学 2017-10-20 Abby Flynt , Nema Dean