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In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

Machine Learning · Computer Science 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Multitask learning algorithms are typically designed assuming some fixed, a priori known latent structure shared by all the tasks. However, it is usually unclear what type of latent task structure is the most appropriate for a given…

Machine Learning · Computer Science 2012-07-03 Alexandre Passos , Piyush Rai , Jacques Wainer , Hal Daume

There are proposals that extend the classical generalized additive models (GAMs) to accommodate high-dimensional data ($p>>n$) using group sparse regularization. However, the sparse regularization may induce excess shrinkage when estimating…

Methodology · Statistics 2022-07-07 Boyi Guo , Byron C. Jaeger , A. K. M. Fazlur Rahman , D. Leann Long , Nengjun Yi

Motivated by the need to analyze large, decentralized datasets, distributed Bayesian inference has become a critical research area across multiple fields, including statistics, electrical engineering, and economics. This paper establishes…

Statistics Theory · Mathematics 2025-07-08 Bohan Wu , César A. Uribe

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Variational autoencoders often assume isotropic Gaussian priors and mean-field posteriors, hence do not exploit structure in scenarios where we may expect similarity or consistency across latent variables. Gaussian process variational…

Machine Learning · Statistics 2020-11-17 Metod Jazbec , Michael Pearce , Vincent Fortuin

Federated Learning (FL) has emerged as a promising method to collaboratively learn from decentralized and heterogeneous data available at different clients without the requirement of data ever leaving the clients. Recent works on FL have…

Machine Learning · Computer Science 2024-11-28 Shivam Pal , Aishwarya Gupta , Saqib Sarwar , Piyush Rai

We address the problem of Bayesian reinforcement learning using efficient model-based online planning. We propose an optimism-free Bayes-adaptive algorithm to induce deeper and sparser exploration with a theoretical bound on its performance…

Machine Learning · Computer Science 2020-06-30 Divya Grover , Debabrota Basu , Christos Dimitrakakis

Latent factor models are the canonical statistical tool for exploratory analyses of low-dimensional linear structure for an observation matrix with p features across n samples. We develop a structured Bayesian group factor analysis model…

Methodology · Statistics 2015-11-12 Shiwen Zhao , Chuan Gao , Sayan Mukherjee , Barbara E Engelhardt

Small area estimation (SAE) improves estimates for local communities or groups, such as counties, neighborhoods, or demographic subgroups, when data are insufficient for each area. This is important for targeting local resources and…

Methodology · Statistics 2026-01-28 Rayleigh Lei , Yajuan Si

Factor models are widely used for dimension reduction in the analysis of multivariate data. This is achieved through decomposition of a p x p covariance matrix into the sum of two components. Through a latent factor representation, they can…

Methodology · Statistics 2024-07-01 Sarah Elizabeth Heaps , Ian Hyla Jermyn

Bayesian Neural Networks (BNNs) provide a probabilistic interpretation for deep learning models by imposing a prior distribution over model parameters and inferring a posterior distribution based on observed data. The model sampled from the…

Machine Learning · Computer Science 2023-11-15 Van-Anh Nguyen , Tung-Long Vuong , Hoang Phan , Thanh-Toan Do , Dinh Phung , Trung Le

Bayesian Federated Learning (FL) has been recently introduced to provide well-calibrated Machine Learning (ML) models quantifying the uncertainty of their predictions. Despite their advantages compared to frequentist FL setups, Bayesian FL…

Machine Learning · Computer Science 2024-05-12 Luca Barbieri , Stefano Savazzi , Monica Nicoli

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

Methodology · Statistics 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

Artificial neural networks (ANNs) are powerful machine learning methods used in many modern applications such as facial recognition, machine translation, and cancer diagnostics. A common issue with ANNs is that they usually have millions or…

Machine Learning · Statistics 2023-05-08 Lars Skaaret-Lund , Geir Storvik , Aliaksandr Hubin

Despite much research targeted at enabling conventional machine learning models to continually learn tasks and data distributions sequentially without forgetting the knowledge acquired, little effort has been devoted to account for more…

Machine Learning · Computer Science 2021-06-11 Sandra Servia-Rodriguez , Cecilia Mascolo , Young D. Kwon

Intelligent real-world systems critically depend on expressive information about their system state and changing operation conditions, e.g., due to variation in temperature, location, wear, or aging. To provide this information, online…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jan-Hendrik Ewering , Björn Volkmann , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

Variational inference is becoming more and more popular for approximating intractable posterior distributions in Bayesian statistics and machine learning. Meanwhile, a few recent works have provided theoretical justification and new…

Statistics Theory · Mathematics 2019-09-09 Badr-Eddine Chérief-Abdellatif

Machine learning models have achieved widespread success but often inherit and amplify historical biases, resulting in unfair outcomes. Traditional fairness methods typically impose constraints at the prediction level, without addressing…

Machine Learning · Statistics 2026-02-10 Enze Shi , Pankaj Bhagwat , Zhixian Yang , Linglong Kong , Bei Jiang

An inductive probabilistic classification rule must generally obey the principles of Bayesian predictive inference, such that all observed and unobserved stochastic quantities are jointly modeled and the parameter uncertainty is fully…

Machine Learning · Statistics 2015-03-25 Henrik Nyman , Jie Xiong , Johan Pensar , Jukka Corander
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