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When faced with high frequency streams of data, clustering raises theoretical and algorithmic pitfalls. We introduce a new and adaptive online clustering algorithm relying on a quasi-Bayesian approach, with a dynamic (i.e., time-dependent)…

Machine Learning · Statistics 2018-09-24 Le Li , Benjamin Guedj , Sébastien Loustau

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

Methodology · Statistics 2021-10-20 Emily M. Goren , Ranjan Maitra

Semi-supervised clustering seeks to augment traditional clustering methods by incorporating side information provided via human expertise in order to increase the semantic meaningfulness of the resulting clusters. However, most current…

Machine Learning · Computer Science 2014-02-17 Caiming Xiong , David Johnson , Jason J. Corso

Clustering in high-dimensions poses many statistical challenges. While traditional distance-based clustering methods are computationally feasible, they lack probabilistic interpretation and rely on heuristics for estimation of the number of…

Methodology · Statistics 2023-04-04 Abhinav Natarajan , Maria De Iorio , Andreas Heinecke , Emanuel Mayer , Simon Glenn

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

Methodology · Statistics 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

International comparisons of hierarchical time series data sets based on survey data, such as annual country-level estimates of school enrollment rates, can suffer from large amounts of missing data due to differing coverage of surveys…

Methodology · Statistics 2025-03-31 Daphne H. Liu , Adrian E. Raftery

This paper focuses on the problem of hierarchical non-overlapping clustering of a dataset. In such a clustering, each data item is associated with exactly one leaf node and each internal node is associated with all the data items stored in…

Machine Learning · Statistics 2021-05-26 Weipeng Huang , Nishma Laitonjam , Guangyuan Piao , Neil Hurley

We consider the problem of clustering grouped data with possibly non-exchangeable groups whose dependencies can be characterized by a known directed acyclic graph. To allow the sharing of clusters among the non-exchangeable groups, we…

In computational mechanics, multiple models are often present to describe a physical system. While Bayesian model selection is a helpful tool to compare these models using measurement data, it requires the computationally expensive…

Computation · Statistics 2025-04-14 Subhayan De , Reza Farzad , Patrick T. Brewick , Erik A. Johnson , Steven F. Wojtkiewicz

In the field of population health research, understanding the similarities between geographical areas and quantifying their shared effects on health outcomes is crucial. In this paper, we synthesise a number of existing methods to create a…

Applications · Statistics 2023-11-27 Wala Draidi Areed , Aiden Price , Helen Thompson , Reid Malseed , Kerrie Mengersen

We present a Bayesian non-negative tensor factorization model for count-valued tensor data, and develop scalable inference algorithms (both batch and online) for dealing with massive tensors. Our generative model can handle overdispersed…

Machine Learning · Statistics 2015-08-19 Changwei Hu , Piyush Rai , Changyou Chen , Matthew Harding , Lawrence Carin

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…

Methodology · Statistics 2024-09-02 Rafael Cabral , Maria de Iorio , Andrew Harris

Hierarchical models in Bayesian inverse problems are characterized by an assumed prior probability distribution for the unknown state and measurement error precision, and hyper-priors for the prior parameters. Combining these probability…

Computation · Statistics 2019-06-10 Arvind K. Saibaba , Johnathan Bardsley , D. Andrew Brown , Alen Alexanderian

This paper presents a novel perspective on correlation functions in the clustering analysis of the large-scale structure of the universe. We first recognise that pair counting in bins of radial separation is equivalent to evaluating…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-06 Shiyu Yue , Longlong Feng , Wenjie Ju , Jun Pan , Zhiqi Huang , Feng Fang , Zhuoyang Li , Yan-Chuan Cai , Weishan Zhu

We examine methods for clustering in high dimensions. In the first part of the paper, we perform an experimental comparison between three batch clustering algorithms: the Expectation-Maximization (EM) algorithm, a winner take all version of…

Machine Learning · Computer Science 2015-05-19 Marina Meila , David Heckerman

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

We bring together topological data analysis, applied category theory, and machine learning to study multiparameter hierarchical clustering. We begin by introducing a procedure for flattening multiparameter hierarchical clusterings. We…

Machine Learning · Computer Science 2021-05-03 Dan Shiebler

In this paper, we propose a general framework for combining evidence of varying quality to estimate underlying binary latent variables in the presence of restrictions imposed to respect the scientific context. The resulting algorithms…

Methodology · Statistics 2018-08-28 Zhenke Wu , Livia Casciola-Rosen , Antony Rosen , Scott L. Zeger

The presence of missing entries in data often creates challenges for pattern recognition algorithms. Traditional algorithms for clustering data assume that all the feature values are known for every data point. We propose a method to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Sunrita Poddar , Mathews Jacob