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A good clustering can help a data analyst to explore and understand a data set, but what constitutes a good clustering may depend on domain-specific and application-specific criteria. These criteria can be difficult to formalize, even when…

机器学习 · 统计学 2016-06-21 Akash Srivastava , James Zou , Ryan P. Adams , Charles Sutton

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…

机器学习 · 计算机科学 2022-11-15 Ashutosh Singh , Ashish Singh , Aria Masoomi , Tales Imbiriba , Erik Learned-Miller , Deniz Erdogmus

The core of clustering is incorporating prior knowledge to construct supervision signals. From classic k-means based on data compactness to recent contrastive clustering guided by self-supervision, the evolution of clustering methods…

机器学习 · 计算机科学 2024-07-17 Yunfan Li , Peng Hu , Dezhong Peng , Jiancheng Lv , Jianping Fan , Xi Peng

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

We define the notion of a well-clusterable data set combining the point of view of the objective of $k$-means clustering algorithm (minimising the centric spread of data elements) and common sense (clusters shall be separated by gaps). We…

机器学习 · 计算机科学 2020-04-07 Mieczysław A. Kłopotek

Clustering is widely studied in statistics and machine learning, with applications in a variety of fields. As opposed to classical algorithms which return a single clustering solution, Bayesian nonparametric models provide a posterior over…

统计方法学 · 统计学 2019-02-11 Sara Wade , Zoubin Ghahramani

Nonparametric Bayesian approaches provide a flexible framework for clustering without pre-specifying the number of groups, yet they are well known to overestimate the number of clusters, especially for functional data. We show that a…

统计方法学 · 统计学 2025-10-21 Fumiya Iwashige , Tomoya Wakayama , Shonosuke Sugasawa , Shintaro Hashimoto

Ensemble clustering integrates a set of base clustering results to generate a stronger one. Existing methods usually rely on a co-association (CA) matrix that measures how many times two samples are grouped into the same cluster according…

机器学习 · 计算机科学 2023-02-24 Yuheng Jia , Sirui Tao , Ran Wang , Yongheng Wang

A good clustering can help a data analyst to explore and understand a data set, but what constitutes a good clustering may depend on domain-specific and application-specific criteria. These criteria can be difficult to formalize, even when…

机器学习 · 统计学 2016-06-09 Akash Srivastava , James Zou , Charles Sutton

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

统计方法学 · 统计学 2021-07-07 Yinan Mao , David J. Nott

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…

机器学习 · 计算机科学 2024-07-31 Bryar A. Hassan , Noor Bahjat Tayfor , Alla A. Hassan , Aram M. Ahmed , Tarik A. Rashid , Naz N. Abdalla

Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

定量方法 · 定量生物学 2007-05-23 Alexander Kraskov , Harald Stögbauer , Ralph G. Andrzejak , Peter Grassberger

Classically, Bayesian clustering interprets each component of a mixture model as a cluster. The inferred clustering posterior is highly sensitive to any inaccuracies in the kernel within each component. As this kernel is made more flexible,…

统计方法学 · 统计学 2025-12-12 David Buch , Miheer Dewaskar , David B. Dunson

In the era of Big Data, scalable and accurate clustering algorithms for high-dimensional data are essential. We present new Bayesian Distance Clustering (BDC) models and inference algorithms with improved scalability while maintaining the…

统计方法学 · 统计学 2024-09-02 Rafael Cabral , Maria de Iorio , Andrew Harris

We propose a novel method for multiple clustering that assumes a co-clustering structure (partitions in both rows and columns of the data matrix) in each view. The new method is applicable to high-dimensional data. It is based on a…

We propose a MAP Bayesian approach to perform and evaluate a co-clustering of mixed-type data tables. The proposed model infers an optimal segmentation of all variables then performs a co-clustering by minimizing a Bayesian model selection…

机器学习 · 统计学 2019-02-07 Aichetou Bouchareb , Marc Boullé , Fabrice Rossi , Fabrice Clérot

Integrating data from multiple heterogeneous sources has become increasingly popular to achieve a large sample size and diverse study population. This paper reviews development in causal inference methods that combines multiple datasets…

统计方法学 · 统计学 2021-10-05 Xu Shi , Ziyang Pan , Wang Miao

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

统计方法学 · 统计学 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

机器学习 · 计算机科学 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

Motivated by problems in data clustering, we establish general conditions under which families of nonparametric mixture models are identifiable, by introducing a novel framework involving clustering overfitted \emph{parametric} (i.e.…

统计理论 · 数学 2020-02-19 Bryon Aragam , Chen Dan , Eric P. Xing , Pradeep Ravikumar