An optimization-centric view on Bayes' rule: Reviewing and generalizing variational inference

J Knoblauch, J Jewson, T Damoulas - Journal of Machine Learning …, 2022 - jmlr.org
We advocate an optimization-centric view of Bayesian inference. Our inspiration is the
representation of Bayes' rule as infinite-dimensional optimization (Csisz´ r, 1975; Donsker …

Generalized variational inference: Three arguments for deriving new posteriors

J Knoblauch, J Jewson, T Damoulas - arXiv preprint arXiv:1904.02063, 2019 - arxiv.org
We advocate an optimization-centric view on and introduce a novel generalization of
Bayesian inference. Our inspiration is the representation of Bayes' rule as infinite …

Fast and robust Bayesian inference using Gaussian processes with GPry

J El Gammal, N Schöneberg, J Torrado… - Journal of Cosmology …, 2023 - iopscience.iop.org
We present the GPry algorithm for fast Bayesian inference of general (non-Gaussian)
posteriors with a moderate number of parameters. GPry does not need any pre-training …

Geometric variational inference

P Frank, R Leike, TA Enßlin - Entropy, 2021 - mdpi.com
Efficiently accessing the information contained in non-linear and high dimensional
probability distributions remains a core challenge in modern statistics. Traditionally …

[PDF][PDF] Generalized variational inference

J Knoblauch, J Jewson, T Damoulas - stat, 2019 - researchgate.net
This paper introduces a generalized representation of Bayesian inference. It is derived
axiomatically, recovering existing Bayesian methods as special cases. We then use it to …

Variational Bayesian methods for cognitive science.

M Galdo, G Bahg, BM Turner - Psychological methods, 2020 - psycnet.apa.org
Bayesian inference has become a powerful and popular technique for understanding
psychological phenomena. However, compared with frequentist statistics, current methods …

Variational inference based on a subclass of closed skew normals

LSL Tan, A Chen - Journal of Computational and Graphical …, 2024 - Taylor & Francis
Gaussian distributions are widely used in Bayesian variational inference to approximate
intractable posterior densities, but the ability to accommodate skewness can improve …

Regularized R\'enyi divergence minimization through Bregman proximal gradient algorithms

T Guilmeau, E Chouzenoux, V Elvira - arXiv preprint arXiv:2211.04776, 2022 - arxiv.org
We study the variational inference problem of minimizing a regularized R\'enyi divergence
over an exponential family, and propose a relaxed moment-matching algorithm, which …

Genetic insights into the gut microbiota-duodenal diseases interplay: A Mendelian randomization and Bayesian weighting study

X Chen, H Chang, C Gao, X Zhu - Microbial Pathogenesis, 2025 - Elsevier
Background Many observational studies have shown a close association between gut
microbiota and the risk of various duodenal diseases. Therefore, we urgently explore the …

Geometric framework for statistical analysis of eye tracking heat maps, with application to a tobacco waterpipe study

D Angeles, S Kurtek, E Klein, M Brinkman… - Journal of Applied …, 2024 - Taylor & Francis
Health warning labels have been found to increase awareness of the harmful effects of
tobacco products. An eye tracking study was conducted to determine the optimal placement …