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The Dirichlet Process Gaussian Mixture Model (DPGMM) is often used to cluster data when the number of clusters is unknown. One main DPGMM inference paradigm relies on sampling. Here we consider a known state-of-art sampler (proposed by…

机器学习 · 计算机科学 2022-03-28 Vlad Winter , Or Dinari , Oren Freifeld

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

A new class of nonparametric prior distributions, termed Beta-Binomial stick-breaking process, is proposed. By allowing the underlying length random variables to be dependent through a Beta marginals Markov chain, an appealing discrete…

统计理论 · 数学 2020-08-12 María F. Gil-Leyva , Ramsés H. Mena , Theodoros Nicoleris

Biclustering is a class of techniques that simultaneously clusters the rows and columns of a matrix to sort heterogeneous data into homogeneous blocks. Although many algorithms have been proposed to find biclusters, existing methods suffer…

机器学习 · 统计学 2020-02-11 Michelle N. Ngo , Dustin S. Pluta , Alexander N. Ngo , Babak Shahbaba

A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures…

统计方法学 · 统计学 2015-02-24 Jeffrey W. Miller , Matthew T. Harrison

Mixture models are commonly used in applications with heterogeneity and overdispersion in the population, as they allow the identification of subpopulations. In the Bayesian framework, this entails the specification of suitable prior…

统计方法学 · 统计学 2023-06-21 Andrea Cremaschi , Timothy M. Wertz , Maria De Iorio

Clustering is a fundamental data mining tool that aims to divide data into groups of similar items. Generally, intuition about clustering reflects the ideal case -- exact data sets endowed with flawless dissimilarity between individual…

机器学习 · 计算机科学 2016-01-25 Margareta Ackerman , Jarrod Moore

Clustering multivariate data is a pervasive task in many applied problems, particularly in social studies and life science. Model-based approaches to clustering rely on mixture models, where each mixture component corresponds to the kernel…

统计方法学 · 统计学 2026-01-22 Laura Ferrini , Federico Castelletti

This paper proposes a computationally efficient algorithm for distributed fusion in a sensor network in which multi-Bernoulli (MB) filters are locally running in every sensor node for multi-target tracking. The generalized Covariance…

系统与控制 · 电气工程与系统科学 2020-02-19 Wei Yi , Suqi Li , Bailu Wang , Reza Hoseinnezhad , Lingjiang Kong

Exemplar-based clustering methods have been shown to produce state-of-the-art results on a number of synthetic and real-world clustering problems. They are appealing because they offer computational benefits over latent-mean models and can…

机器学习 · 计算机科学 2012-06-18 Daniel Tarlow , Richard S. Zemel , Brendan J. Frey

We give a constant factor polynomial time pseudo-approximation algorithm for min-sum clustering with or without outliers. The algorithm is allowed to exclude an arbitrarily small constant fraction of the points. For instance, we show how to…

数据结构与算法 · 计算机科学 2020-11-25 Sandip Banerjee , Rafail Ostrovsky , Yuval Rabani

For a long time, the Dirichlet process has been the gold standard discrete random measure in Bayesian nonparametrics. The Pitman--Yor process provides a simple and mathematically tractable generalization, allowing for a very flexible…

统计理论 · 数学 2020-01-08 Caroline Lawless , Julyan Arbel

An approach to amputation, the process of introducing missing values to a complete dataset, is presented. It allows to construct missingness indicators in a flexible and principled way via copulas and Bernoulli margins and to incorporate…

应用统计 · 统计学 2025-07-28 Marius Hofert , James Jackson , Niels Hagenbuch

To identify novel dynamic patterns of gene expression, we develop a statistical method to cluster noisy measurements of gene expression collected from multiple replicates at multiple time points, with an unknown number of clusters. We…

应用统计 · 统计学 2013-12-02 Audrey Qiuyan Fu , Steven Russell , Sarah J. Bray , Simon Tavaré

Patchwork learning arises as a new and challenging data collection paradigm where both samples and features are observed in fragmented subsets. Due to technological limits, measurement expense, or multimodal data integration, such patchwork…

统计方法学 · 统计学 2024-06-21 Lili Zheng , Andersen Chang , Genevera I. Allen

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

统计方法学 · 统计学 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

Deep clustering is an emerging topic in deep learning where traditional clustering is performed in deep learning feature space. However, clustering and deep learning are often mutually exclusive. In the autoencoder based deep clustering,…

机器学习 · 计算机科学 2024-12-13 Kart-Leong Lim

Most of the 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. Therefore, we…

机器学习 · 计算机科学 2023-03-30 Jiang Xie , Shuyin Xia , Guoyin Wang , Xinbo Gao

Given full or partial information about a collection of points that lie close to a union of several subspaces, subspace clustering refers to the process of clustering the points according to their subspace and identifying the subspaces. One…

机器学习 · 统计学 2018-01-16 Zachary Charles , Amin Jalali , Rebecca Willett

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

统计方法学 · 统计学 2025-02-28 M. E. J. Newman