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There has been a tremendous methodological development of Bayes factors for hypothesis testing in the social and behavioral sciences, and related fields. This development is due to the flexibility of the Bayes factor for testing multiple…

This paper introduces a novel scheme to progressively estimate interferometric phases from a stack of synthetic aperture radar (SAR) images. The scheme is shown to yield comparable performance to full-covariance algorithms for a realistic…

Signal Processing · Electrical Eng. & Systems 2020-10-07 Francesco De Zan

bde is a user-friendly Python package for Bayesian Deep Ensembles with a particular focus on tabular data. Built on an efficient JAX implementation of the sampling-based inference method Microcanonical Langevin Ensembles (MILE), it provides…

Machine Learning · Computer Science 2026-05-15 Vyron Arvanitis , Angelos Aslanidis , Emanuel Sommer , David Rügamer

There has been increased interest in the use of historical data to formulate informative priors in regression models. While many such priors for incorporating historical data have been proposed, adoption is limited due to access to…

Methodology · Statistics 2025-06-26 Ethan M. Alt , Xinxin Chen , Luiz M. Carvalho , Joseph G. Ibrahim

Sufficient dimension reduction (SDR), which seeks a lower-dimensional subspace of the predictors containing regression or classification information has been popular in a machine learning community. In this work, we present a new R software…

Computation · Statistics 2024-09-06 Jungmin Shin , Seung Jun Shin , Andreas Artemiou

In this vignette, we introduce the UPG package for efficient Bayesian inference in probit, logit, multinomial logit and binomial logit models. UPG offers a convenient estimation framework for balanced and imbalanced data settings where…

Computation · Statistics 2023-07-03 Gregor Zens , Sylvia Frühwirth-Schnatter , Helga Wagner

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are probabilistic and non-parametric…

A novel sequential inferential method for Bayesian dynamic generalised linear models is presented, addressing both univariate and multivariate $k$-parametric exponential families. It efficiently handles diverse responses, including…

Methodology · Statistics 2025-01-15 Mariane Branco Alves , Helio S. Migon , Silvaneo V. Santos , Raíra Marotta

Parameter inference is a fundamental problem in data-driven modeling. Given observed data that is believed to be a realization of some parameterized model, the aim is to find parameter values that are able to explain the observed data. In…

Data Structures and Algorithms · Computer Science 2016-04-20 Carlo Albert , Simone Ulzega , Ruedi Stoop

Species distribution models (SDMs), which aim to predict species occurrence based on environmental variables, are widely used to monitor and respond to biodiversity change. Recent deep learning advances for SDMs have been shown to perform…

Machine Learning · Computer Science 2025-11-14 Catherine Villeneuve , Benjamin Akera , Mélisande Teng , David Rolnick

The increasing availability of high-dimensional, longitudinal measures of gene expression can facilitate understanding of biological mechanisms, as required for precision medicine. Biological knowledge suggests that it may be best to…

Applications · Statistics 2025-04-18 Jiachen Cai , Robert J. B. Goudie , Colin Starr , Brian D. M. Tom

Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR)…

Methodology · Statistics 2024-12-30 Tingting Li , Hao Wang

We present Bayesian Spillover Graphs (BSG), a novel method for learning temporal relationships, identifying critical nodes, and quantifying uncertainty for multi-horizon spillover effects in a dynamic system. BSG leverages both an…

Methodology · Statistics 2022-06-20 Grace Deng , David S. Matteson

The aim of this paper is to provide an overview of recent development related to Bregman distances outside its native areas of optimization and statistics. We discuss approaches in inverse problems and image processing based on Bregman…

Optimization and Control · Mathematics 2015-05-21 Martin Burger

This paper aims to efficiently compute transport maps between probability distributions arising from particle representation of bio-physical problems. We develop a bidirectional DeepParticle (BDP) method to learn and generate solutions…

Computational Physics · Physics 2025-04-17 Tan Zhang , Zhongjian Wang , Jack Xin , Zhiwen Zhang

The class of autoregressive (AR) processes is extensively used to model temporal dependence in observed time series. Such models are easily available and routinely fitted using freely available statistical software like R. A potential…

Methodology · Statistics 2020-10-13 Sigrunn H. Sørbye , Pedro G. Nicolau , Håvard Rue

Statistical models often assume that data are generated near a structured, smooth, or low-dimensional set. A common approach is to use Bayesian latent variable models, in which each observation is associated with a latent coordinate on the…

Methodology · Statistics 2026-04-14 Leo L Duan , Yuexi Wang , Jason Xu

Software development innovations and advances in computing have enabled more complex and less costly computations in medical research (survival analysis), engineering studies (reliability analysis), and social sciences event analysis…

Applications · Statistics 2020-03-25 Renato Valladares Panaro

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Probabilistic programming methods have revolutionised Bayesian inference, making it easier than ever for practitioners to perform Markov-chain-Monte-Carlo sampling from non-conjugate posterior distributions. Here we focus on Stan, arguably…

Computation · Statistics 2025-02-10 Clemens Pichler , Jack Jewson , Alejandra Avalos-Pacheco
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