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We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Next-generation sequencing technologies now constitute a method of choice to measure gene expression. Data to analyze are read counts, commonly modeled using Negative Binomial distributions. A relevant issue associated with this…

Methodology · Statistics 2014-11-10 Elisabetta Bonafede , Franck Picard , Stéphane Robin , Cinzia Viroli

Handling missing data is a major challenge in model-based clustering, especially when the data exhibit skewness and heavy tails. We address this by extending the finite mixture of scale mixtures of multivariate skew-normal (FMSMSN) family…

Methodology · Statistics 2025-07-29 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Human behavior modeling deals with learning and understanding behavior patterns inherent in humans' daily routines. Existing pattern mining techniques either assume human dynamics is strictly periodic, or require the number of modes as…

Machine Learning · Computer Science 2021-10-26 Rohan Kabra , Divya Saxena , Dhaval Patel , Jiannong Cao

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

Motivated by the problem of accurately predicting gap times between successive blood donations, we present here a general class of Bayesian nonparametric models for clustering. These models allow for prediction of new recurrences,…

Methodology · Statistics 2022-10-18 Raffaele Argiento , Riccardo Corradin , Alessandra Guglielmi , Ettore Lanzarone

Many dynamical phenomena display a cyclic behavior, in the sense that time can be partitioned into units within which distributional aspects of a process are homogeneous. In this paper, we introduce a class of models - called conjugate…

Statistics Theory · Mathematics 2017-05-05 Eduardo Horta , Flavio Ziegelmann

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

Methodology · Statistics 2025-05-16 Luca Scrucca

In this paper, we propose a regularized mixture probabilistic model to cluster matrix data and apply it to brain signals. The approach is able to capture the sparsity (low rank, small/zero values) of the original signals by introducing…

Methodology · Statistics 2018-08-07 Xu Gao , Weining Shen , Hernando Ombao

Statistical language models frequently suffer from a lack of training data. This problem can be alleviated by clustering, because it reduces the number of free parameters that need to be trained. However, clustered models have the following…

cmp-lg · Computer Science 2008-02-03 Joerg P. Ueberla

Probabilistic clustering models (or equivalently, mixture models) are basic building blocks in countless statistical models and involve latent random variables over discrete spaces. For these models, posterior inference methods can be…

Machine Learning · Statistics 2020-06-24 Ari Pakman , Yueqi Wang , Catalin Mitelut , JinHyung Lee , Liam Paninski

By integrating heterogeneous functional genomic datasets, we have developed a new framework for detecting combinatorial control of gene expression, which includes estimating transcription factor activities using a singular value…

Quantitative Methods · Quantitative Biology 2010-10-07 Junbai Wang

Improving the future of healthcare starts by better understanding the current actual practices in hospital settings. This motivates the objective of discovering typical care pathways from patient data. Revealing typical care pathways can be…

Machine Learning · Computer Science 2024-12-20 Thomas Guyet , Pierre Pinson , Enoal Gesny

The interpretation of unlabeled acoustic emission (AE) data classically relies on general-purpose clustering methods. While several external criteria have been used in the past to select the hyperparameters of those algorithms, few studies…

Machine Learning · Statistics 2022-11-29 Emmanuel Ramasso , Thierry Denoeux , Gael Chevallier

Time series, as one of the most fundamental representations of sequential data, has been extensively studied across diverse disciplines, including computer science, biology, geology, astronomy, and environmental sciences. The advent of…

Machine Learning · Computer Science 2024-12-31 John Paparrizos , Fan Yang , Haojun Li

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

Statistics Theory · Mathematics 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

We propose a first-order autoregressive (i.e. AR(1)) model for dynamic network processes in which edges change over time while nodes remain unchanged. The model depicts the dynamic changes explicitly. It also facilitates simple and…

Methodology · Statistics 2022-05-12 Binyan Jiang , Jailing Li , Qiwei Yao

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

Unsupervised clustering of temporal data is both challenging and crucial in machine learning. In this paper, we show that neither traditional clustering methods, time series specific or even deep learning-based alternatives generalise well…

Machine Learning · Computer Science 2020-10-13 Nuno Mota Goncalves , Ioana Giurgiu , Anika Schumann

Mixtures of skew-t distributions offer a flexible choice for model-based clustering. A mixture model of this sort can be implemented using a variety of formulations of the skew-t distribution. Herein we develop a mixture of skew-t factor…

Methodology · Statistics 2017-10-09 Paula M. Murray , Ryan P. Browne , Paul D. McNicholas
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