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We propose novel Bayesian Dynamic Clustering Factor Models (BDCFM) for the analysis of multivariate longitudinal data. BDCFM combines factor models with hidden Markov models to concomitantly perform dimension reduction, clustering, and…

Methodology · Statistics 2025-05-28 Tsering Dolkar , Marco A. R. Ferreira , Hwasoo Shin , Allison N. Tegge

Federated clustering, an essential extension of centralized clustering for federated scenarios, enables multiple data-holding clients to collaboratively group data while keeping their data locally. In centralized scenarios, clustering…

Machine Learning · Computer Science 2025-06-03 Jing Liu , Jie Yan , Zhong-Yuan Zhang

Matrix factorization (MF) is a versatile learning method that has found wide applications in various data-driven disciplines. Still, many MF algorithms do not adequately scale with the size of available datasets and/or lack…

Machine Learning · Computer Science 2019-05-30 Abhishek Agarwal , Jianhao Peng , Olgica Milenkovic

Low rank matrix factorisation is often used in recommender systems as a way of extracting latent features. When dealing with large and sparse datasets, traditional recommendation algorithms face the problem of acquiring large, unrestrained,…

Machine Learning · Computer Science 2018-07-17 Shuai Jiang , Kan Li , Richard Yi Da Xu

Centroid-based clustering algorithms, such as hard K-means (HKM) and fuzzy K-means (FKM), have suffered from learning bias towards large clusters. Their centroids tend to be crowded in large clusters, compromising performance when the true…

Machine Learning · Computer Science 2024-06-07 Yudong He

Biomedical data are widely accepted in developing prediction models for identifying a specific tumor, drug discovery and classification of human cancers. However, previous studies usually focused on different classifiers, and overlook the…

Quantitative Methods · Quantitative Biology 2019-11-05 Shigang Liu , Jun Zhang , Yang Xiang , Wanlei Zhou , Dongxi Xiang

Understanding the association between dietary patterns and health outcomes, such as the cancer risk, is crucial to inform public health guidelines and shaping future dietary interventions. However, dietary intake data present several…

Methodology · Statistics 2025-10-10 Blake Hansen , Dafne Zorzetto , Valeria Edefonti , Roberta De Vito

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

Many modern applications collect highly imbalanced categorical data, with some categories relatively rare. Bayesian hierarchical models combat data sparsity by borrowing information, while also quantifying uncertainty. However, posterior…

Statistics Theory · Mathematics 2017-06-27 James E. Johndrow , Aaron Smith , Natesh Pillai , David B. Dunson

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

Machine learning promises to revolutionize clinical decision making and diagnosis. In medical diagnosis a doctor aims to explain a patient's symptoms by determining the diseases \emph{causing} them. However, existing diagnostic algorithms…

Machine Learning · Statistics 2020-03-17 Jonathan G. Richens , Ciaran M. Lee , Saurabh Johri

During the past few years Boolean matrix factorization (BMF) has become an important direction in data analysis. The minimum description length principle (MDL) was successfully adapted in BMF for the model order selection. Nevertheless, a…

Machine Learning · Computer Science 2019-01-29 Tatiana Makhalova , Martin Trnecka

Many fundamental problems in data mining can be reduced to one or more NP-hard combinatorial optimization problems. Recent advances in novel technologies such as quantum and quantum-inspired hardware promise a substantial speedup for…

Machine Learning · Computer Science 2022-01-10 Osman Asif Malik , Hayato Ushijima-Mwesigwa , Arnab Roy , Avradip Mandal , Indradeep Ghosh

Finite mixtures of regressions with fixed covariates are a commonly used model-based clustering methodology to deal with regression data. However, they assume assignment independence, i.e. the allocation of data points to the clusters is…

Methodology · Statistics 2021-04-27 Salvatore D. Tomarchio , Paul D. McNicholas , Antonio Punzo

Collaborative filtering generates recommendations by exploiting user-item similarities based on rating data, which often contains numerous unrated items. To predict scores for unrated items, matrix factorization techniques such as…

Statistical Mechanics · Physics 2025-07-30 Yukino Terui , Yuka Inoue , Yohei Hamakawa , Kosuke Tatsumura , Kazue Kudo

We propose a new approach to combine Restricted Boltzmann Machines (RBMs) that can be used to solve combinatorial optimization problems. This allows synthesis of larger models from smaller RBMs that have been pretrained, thus effectively…

Machine Learning · Computer Science 2019-09-10 Saavan Patel , Sayeef Salahuddin

The correlated binomial (CB) distribution was proposed by Luce\~no (Computational Statistics $\&$ Data Analysis, 20, 1995, 511-520) as an alternative to the binomial distribution for the analysis of the data in the presence of correlations…

Methodology · Statistics 2022-02-25 Andrea Bennett , Min Wang

Deep convolutional neural networks have made significant breakthroughs in medical image classification, under the assumption that training samples from all classes are simultaneously available. However, in real-world medical scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Xuze Hao , Wenqian Ni , Xuhao Jiang , Weimin Tan , Bo Yan

Estimating a unit's responses to interventions with an associated dose, the "conditional average dose response" (CADR), is relevant in a variety of domains, from healthcare to business, economics, and beyond. Such a response typically needs…

Machine Learning · Computer Science 2024-07-29 Christopher Bockel-Rickermann , Toon Vanderschueren , Jeroen Berrevoets , Tim Verdonck , Wouter Verbeke

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

Information Retrieval · Computer Science 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu