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Bayesian inference provides a natural framework for updating knowledge as new information becomes available, often in a sequential manner by incorporating datasets in stages or reusing previous posteriors as priors. In practice, this is…

Nuclear Theory · Physics 2026-05-22 Lipei Du

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

Methodology · Statistics 2025-08-05 Graham Gibson

Boolean matrix factorisation aims to decompose a binary data matrix into an approximate Boolean product of two low rank, binary matrices: one containing meaningful patterns, the other quantifying how the observations can be expressed as a…

Machine Learning · Statistics 2017-02-28 Tammo Rukat , Chris C. Holmes , Michalis K. Titsias , Christopher Yau

Federated learning (FL) demonstrates its advantages in integrating distributed infrastructure, communication, computing and learning in a privacy-preserving manner. However, the robustness and capabilities of existing FL methods are…

Machine Learning · Computer Science 2023-04-27 Longbing Cao , Hui Chen , Xuhui Fan , Joao Gama , Yew-Soon Ong , Vipin Kumar

Hybrid Bayesian networks (HBN) contain complex conditional probabilistic distributions (CPD) specified as partitioned expressions over discrete and continuous variables. The size of these CPDs grows exponentially with the number of parent…

Artificial Intelligence · Computer Science 2024-02-26 Peng Lin , Martin Neil , Norman Fenton

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

Methodology · Statistics 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

We consider the problem of learning parameters of latent variable models from mixed (continuous and ordinal) data with missing values. We propose a novel Bayesian Gaussian copula factor (BGCF) approach that is consistent under certain…

Machine Learning · Statistics 2018-06-13 Ruifei Cui , Ioan Gabriel Bucur , Perry Groot , Tom Heskes

Learning from multimodal datasets can leverage complementary information and improve performance in prediction tasks. A commonly used strategy to account for feature correlations in high-dimensional datasets is the latent variable approach.…

Machine Learning · Computer Science 2024-10-01 Lingchao Mao , Qi wang , Yi Su , Fleming Lure , Jing Li

Federated Bayesian neural networks require fixing a prior on the model parameters together with a likelihood. Eliciting meaningful priors on the weight space of modern overparameterized models is notoriously difficult, and misspecification…

Machine Learning · Computer Science 2026-05-19 Boning Zhang , Matteo Zecchin , Mingzhao Guo , Dongzhu Liu , Osvaldo Simeone

Multimodal time-to-event prediction often requires integrating sensitive data distributed across multiple parties, making centralized model training impractical due to privacy constraints. At the same time, most existing multimodal survival…

Machine Learning · Statistics 2026-04-03 Abhilash Kar , Basisth Saha , Tanmay Sen , Biswabrata Pradhan

The discovery of disease subtypes is an essential step for developing precision medicine, and disease subtyping via omics data has become a popular approach. While promising, subtypes obtained from conventional approaches may not be…

Applications · Statistics 2023-09-28 Lingsong Meng , Zhiguang Huo

Machine learning has been making great success in many application areas. However, for the non-expert practitioners, it is always very challenging to address a machine learning task successfully and efficiently. Finding the optimal machine…

Machine Learning · Computer Science 2025-08-08 Guanghui Zhu , Xin Fang , Feng Cheng , Lei Wang , Wenzhong Chen , Chunfeng Yuan , Yihua Huang

Estimating the parameters of mathematical models is a common problem in almost all branches of science. However, this problem can prove notably difficult when processes and model descriptions become increasingly complex and an explicit…

Machine Learning · Statistics 2024-02-09 Stefan T. Radev , Ulf K. Mertens , Andreas Voss , Lynton Ardizzone , Ullrich Köthe

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

Methodology · Statistics 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

Neural density estimators have proven remarkably powerful in performing efficient simulation-based Bayesian inference in various research domains. In particular, the BayesFlow framework uses a two-step approach to enable amortized parameter…

Methodology · Statistics 2022-11-10 Marvin Schmitt , Paul-Christian Bürkner , Ullrich Köthe , Stefan T. Radev

Factorial hidden Markov models (FHMMs) are powerful tools of modeling sequential data. Learning FHMMs yields a challenging simultaneous model selection issue, i.e., selecting the number of multiple Markov chains and the dimensionality of…

Machine Learning · Statistics 2015-06-29 Shaohua Li , Ryohei Fujimaki , Chunyan Miao

A central challenge in statistical inference is the presence of confounding variables that may distort observed associations between treatment and outcome. Conventional "causal" methods, grounded in assumptions such as ignorability, exclude…

Methodology · Statistics 2025-09-09 Ellis Scharfenaker , Duncan K. Foley

Dyadic Data Prediction (DDP) is an important problem in many research areas. This paper develops a novel fully Bayesian nonparametric framework which integrates two popular and complementary approaches, discrete mixed membership modeling…

Machine Learning · Computer Science 2016-01-15 Guangyong Chen , Fengyuan Zhu , Pheng Ann Heng

We propose a Conditional Density Filtering (C-DF) algorithm for efficient online Bayesian inference. C-DF adapts MCMC sampling to the online setting, sampling from approximations to conditional posterior distributions obtained by…

Machine Learning · Statistics 2015-09-23 Shaan Qamar , Rajarshi Guhaniyogi , David B. Dunson

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong