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Gaussian Mixture Models (GMM) have found many applications in density estimation and data clustering. However, the model does not adapt well to curved and strongly nonlinear data. Recently there appeared an improvement called AcaGMM (Active…

Machine Learning · Statistics 2015-02-09 P. Spurek , J. Tabor , P. Markowicz

In this article we propose and validate an unsupervised probabilistic model, Gaussian Latent Dirichlet Allocation (GLDA), for the problem of discrete state discovery from repeated, multivariate psychophysiological samples collected from…

Machine Learning · Computer Science 2022-06-30 Congyu Wu , Aaron Fisher , David Schnyer

Employing nonparametric methods for density estimation has become routine in Bayesian statistical practice. Models based on discrete nonparametric priors such as Dirichlet Process Mixture (DPM) models are very attractive choices due to…

Methodology · Statistics 2017-07-03 J. J. Quinlan , F. A. Quintana , G. L. Page

In this paper, I introduce a Sequence-based Multiscale Model (SeqMM) for the biomolecular data analysis. With the combination of spectral graph method, I reveal the essential difference between the global scale models and local scale ones…

Quantitative Methods · Quantitative Biology 2019-03-08 Kelin Xia

In this paper, we present an information-theoretic method for clustering mixed-type data, that is, data consisting of both continuous and categorical variables. The proposed approach extends the Information Bottleneck principle to…

Methodology · Statistics 2026-02-02 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

Data Analysis, Statistics and Probability · Physics 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

In the realm of precision medicine, effective patient stratification and disease subtyping demand innovative methodologies tailored for multi-omics data. Clustering techniques applied to multi-omics data have become instrumental in…

Machine Learning · Computer Science 2024-01-30 Bastian Pfeifer , Christel Sirocchi , Marcus D. Bloice , Markus Kreuzthaler , Martin Urschler

Probabilistic mixture models are recognized as effective tools for unsupervised outlier detection owing to their interpretability and global characteristics. Among these, Dirichlet process mixture models stand out as a strong alternative to…

Machine Learning · Computer Science 2024-07-26 Dongwook Kim , Juyeon Park , Hee Cheol Chung , Seonghyun Jeong

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,…

Machine Learning · Computer Science 2024-12-13 Kart-Leong Lim

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…

Machine Learning · Statistics 2020-02-11 Michelle N. Ngo , Dustin S. Pluta , Alexander N. Ngo , Babak Shahbaba

In this paper we consider the problem of dynamic clustering, where cluster memberships may change over time and clusters may split and merge over time, thus creating new clusters and destroying existing ones. We propose a Bayesian…

Methodology · Statistics 2019-10-24 Maria De Iorio , Stefano Favaro , Alessandra Guglielmi , Lifeng Ye

We propose a novel semiparametric model for the joint distribution of a continuous longitudinal outcome and the baseline covariates using an enriched Dirichlet process (EDP) prior. This joint model decomposes into a linear mixed model for…

Methodology · Statistics 2018-06-08 Bret Zeldow , James Flory , Alisa Stephens-Shields , Marsha Raebel , Jason Roy

Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time…

Machine Learning · Statistics 2025-09-16 Francesco Amato , Julien Jacques

Clusters of similar or dissimilar objects are encountered in many fields. Frequently used approaches treat the central object of each cluster as latent. Yet, often objects of one or more types cluster around objects of another type. Such…

The perennial problem of "how many clusters?" remains an issue of substantial interest in data mining and machine learning communities, and becomes particularly salient in large data sets such as populational genomic data where the number…

Machine Learning · Statistics 2009-08-20 Kyung-Ah Sohn , Eric P. Xing

Multiple clustering has gathered significant attention in recent years due to its potential to reveal multiple hidden structures of the data from different perspectives. Most of multiple clustering methods first derive feature…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Jiawei Yao , Juhua Hu

Multiple outcomes, both continuous and discrete, are routinely gathered on subjects in longitudinal studies and during routine clinical follow-up in general. To motivate our work, we consider a longitudinal study on patients with primary…

Applications · Statistics 2013-04-17 Arnošt Komárek , Lenka Komárková

The hierarchical Dirichlet process (HDP) has become an important Bayesian nonparametric model for grouped data, such as document collections. The HDP is used to construct a flexible mixed-membership model where the number of components is…

Machine Learning · Statistics 2012-01-10 Chong Wang , David M. Blei

The progression of chronic diseases often follows highly variable trajectories, and the underlying factors remain poorly understood. Standard mixed-effects models typically represent inter-patient differences as random deviations around a…

Probabilistic finite mixture models are widely used for unsupervised clustering. These models can often be improved by adapting them to the topology of the data. For instance, in order to classify spatially adjacent data points similarly,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Jonathan Vacher , Claire Launay , Ruben Coen-Cagli
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