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Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

Frequently, population studies feature pyramidally-organized data represented using Hierarchical Bayesian Models (HBM) enriched with plates. These models can become prohibitively large in settings such as neuroimaging, where a sample is…

Machine Learning · Computer Science 2022-03-09 Louis Rouillard , Demian Wassermann

Multimodal emotion recognition is a challenging research area that aims to fuse different modalities to predict human emotion. However, most existing models that are based on attention mechanisms have difficulty in learning emotionally…

Computation and Language · Computer Science 2023-03-08 Zihan Zhao , Yu Wang , Yanfeng Wang

In this work, we demonstrate the Empirical Bayes approach to learning a Dynamic Bayesian Network. By starting with several point estimates of structure and weights, we can use a data-driven prior to subsequently obtain a model to quantify…

Machine Learning · Computer Science 2024-07-02 Vyacheslav Kungurtsev , Apaar , Aarya Khandelwal , Parth Sandeep Rastogi , Bapi Chatterjee , Jakub Mareček

This paper provides a review of Approximate Bayesian Computation (ABC) methods for carrying out Bayesian posterior inference, through the lens of density estimation. We describe several recent algorithms and make connection with traditional…

Computation · Statistics 2019-09-09 Clara Grazian , Yanan Fan

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

Machine Learning · Statistics 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Mean field variational Bayes (MFVB) is a popular posterior approximation method due to its fast runtime on large-scale data sets. However, it is well known that a major failing of MFVB is that it underestimates the uncertainty of model…

Machine Learning · Statistics 2015-02-27 Ryan Giordano , Tamara Broderick

Gaussian and discrete non-Gaussian spatial datasets are common across fields like public health, ecology, geosciences, and social sciences. Bayesian spatial generalized linear mixed models (SGLMMs) are a flexible class of models for…

Methodology · Statistics 2025-01-27 Jin Hyung Lee , Ben Seiyon Lee

This paper develops new insights into quantitative methods for the validation of computational model prediction. Four types of methods are investigated, namely classical and Bayesian hypothesis testing, a reliability-based method, and an…

Data Analysis, Statistics and Probability · Physics 2012-06-25 You Ling , Sankaran Mahadevan

In all areas of human knowledge, datasets are increasing in both size and complexity, creating the need for richer statistical models. This trend is also true for economic data, where high-dimensional and nonlinear/nonparametric inference…

Econometrics · Economics 2021-12-23 Dimitris Korobilis , Kenichi Shimizu

When considering a model selection or, more generally, an aggregation approach for adaptive statistical inference, it is often necessary to compute estimators over a wide range of model complexities including unnecessarily large models even…

Statistics Theory · Mathematics 2026-04-17 Ilsang Ohn , Shitao Fan , Jungbin Jun , Lizhen Lin

Bayesian calibration of black-box computer models offers an established framework to obtain a posterior distribution over model parameters. Traditional Bayesian calibration involves the emulation of the computer model and an additive model…

Machine Learning · Statistics 2018-10-30 Sébastien Marmin , Maurizio Filippone

The choice of prior is central to solving ill-posed imaging inverse problems, making it essential to select one consistent with the measurements $y$ to avoid severe bias. In Bayesian inverse problems, this could be achieved by evaluating…

Machine Learning · Computer Science 2026-05-01 Frederic Wang , Katherine L. Bouman

In this paper, we present a Bayesian view on model-based reinforcement learning. We use expert knowledge to impose structure on the transition model and present an efficient learning scheme based on variational inference. This scheme is…

Machine Learning · Computer Science 2019-07-12 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

Bayesian deep learning (BDL) provides a principled framework for reliable uncertainty quantification by combining deep neural networks with Bayesian inference. A central challenge in BDL lies in the design of informative prior distributions…

Machine Learning · Computer Science 2026-02-04 Pengcheng Hao , Huaze Tang , Ercan Engin Kuruoglu , Wenbo Ding

Trained AI systems and expert decision makers can make errors that are often difficult to identify and understand. Determining the root cause for these errors can improve future decisions. This work presents Generative Error Model (GEM), a…

Artificial Intelligence · Computer Science 2021-03-30 Ramya Ramakrishnan , Vaibhav Unhelkar , Ece Kamar , Julie Shah

Estimating personalized treatment effects from high-dimensional observational data is essential in situations where experimental designs are infeasible, unethical, or expensive. Existing approaches rely on fitting deep models on outcomes…

Machine Learning · Computer Science 2022-02-02 Andrew Jesson , Panagiotis Tigas , Joost van Amersfoort , Andreas Kirsch , Uri Shalit , Yarin Gal

We consider a binary unsupervised classification problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of observation: normal and abnormal. The…

Machine Learning · Statistics 2011-05-05 Stevenn Volant , Marie-Laure Martin Magniette , Stéphane Robin

We introduce Bayesian Estimation Applied to Multiple Species (BEAMS), an algorithm designed to deal with parameter estimation when using contaminated data. We present the algorithm and demonstrate how it works with the help of a Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2016-12-07 Martin Kunz , Renée Hlozek , Bruce A. Bassett , Mathew Smith , James Newling , Melvin Varughese

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn