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When complex Bayesian models exhibit implausible behaviour, one solution is to assemble available information into an informative prior. Challenges arise as prior information is often only available for the observable quantity, or some…

Methodology · Statistics 2026-03-18 Andrew A. Manderson , Robert J. B. Goudie

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

Machine Learning · Statistics 2026-02-10 Tommy Rochussen , Vincent Fortuin

A key step in the Bayesian workflow for model building is the graphical assessment of model predictions, whether these are drawn from the prior or posterior predictive distribution. The goal of these assessments is to identify whether the…

Methodology · Statistics 2025-03-04 Teemu Säilynoja , Andrew R. Johnson , Osvaldo A. Martin , Aki Vehtari

Prior beliefs are central to Bayesian accounts of cognition, but many of these accounts do not directly measure priors. More specifically, initial states of belief heavily influence how new information is assumed to be utilized when…

Neurons and Cognition · Quantitative Biology 2022-01-11 Peter A. V. DiBerardino , Alexandre L. S. Filipowicz , James Danckert , Britt Anderson

In Bayesian statistics, the choice of prior distribution is often debatable, especially if prior knowledge is limited or data are scarce. In imprecise probability, sets of priors are used to accurately model and reflect prior knowledge.…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

Selecting an appropriate model to forecast product demand is critical to the manufacturing industry. However, due to the data complexity, market uncertainty and users' demanding requirements for the model, it is challenging for demand…

Human-Computer Interaction · Computer Science 2020-05-08 Dong Sun , Zezheng Feng , Yuanzhe Chen , Yong Wang , Jia Zeng , Mingxuan Yuan , Ting-Chuen Pong , Huamin Qu

A key sticking point of Bayesian analysis is the choice of prior distribution, and there is a vast literature on potential defaults including uniform priors, Jeffreys' priors, reference priors, maximum entropy priors, and weakly informative…

Methodology · Statistics 2017-11-22 Andrew Gelman , Daniel Simpson , Michael Betancourt

A Bayesian view of data interpretation suggests that a visualization user should update their existing beliefs about a parameter's value in accordance with the amount of information about the parameter value captured by the new…

Human-Computer Interaction · Computer Science 2020-08-11 Yea-Seul Kim , Paula Kayongo , Madeleine Grunde-McLaughlin , Jessica Hullman

Prior elicitation methods for Bayesian analyses transfigure prior information into quantifiable prior distributions. Recently, methods that leverage copulas have been proposed to accommodate more flexible dependence structures when…

Methodology · Statistics 2024-11-22 Luke Hagar , Nathaniel T. Stevens

When dealing with Bayesian inference the choice of the prior often remains a debatable question. Empirical Bayes methods offer a data-driven solution to this problem by estimating the prior itself from an ensemble of data. In the…

Methodology · Statistics 2020-05-13 Ilja Klebanov , Alexander Sikorski , Christof Schütte , Susanna Röblitz

When building statistical models for Bayesian data analysis tasks, required and optional iterative adjustments and different modelling choices can give rise to numerous candidate models. In particular, checks and evaluations throughout the…

Methodology · Statistics 2024-04-03 Anna Elisabeth Riha , Nikolas Siccha , Antti Oulasvirta , Aki Vehtari

In data sets with many predictors, algorithms for identifying a good subset of predictors are often used. Most such algorithms do not account for any relationships between predictors. For example, stepwise regression might select a model…

bayes-an · Physics 2008-02-03 Hugh Chipman

Visualization supports exploratory data analysis (EDA), but EDA frequently presents spurious charts, which can mislead people into drawing unwarranted conclusions. We investigate interventions to prevent false discovery from visualized…

Human-Computer Interaction · Computer Science 2023-01-31 Ratanond Koonchanok , Gauri Yatindra Tawde , Gokul Ragunandhan Narayanasamy , Shalmali Walimbe , Khairi Reda

Catalytic prior distributions provide general, easy-to-use, and interpretable specifications of prior distributions for Bayesian analysis. They are particularly beneficial when the observed data are inadequate to stably estimate a complex…

Methodology · Statistics 2023-09-25 Dongming Huang , Feicheng Wang , Donald B. Rubin , S. C. Kou

Analyzing interaction data provides an opportunity to learn about users, uncover their underlying goals, and create intelligent visualization systems. The first step for intelligent response in visualizations is to enable computers to infer…

Human-Computer Interaction · Computer Science 2020-10-19 Shayan Monadjemi , Roman Garnett , Alvitta Ottley

The advent of Generative Artificial Intelligence (GAI) has heralded an inflection point that changed how society thinks about knowledge acquisition. While GAI cannot be fully trusted for decision-making, it may still provide valuable…

Methodology · Statistics 2025-05-20 Sean O'Hagan , Veronika Ročková

Causal inference is a statistical paradigm for quantifying causal effects using observational data. It is a complex process, requiring multiple steps, iterations, and collaborations with domain experts. Analysts often rely on visualizations…

Human-Computer Interaction · Computer Science 2023-03-02 Grace Guo , Ehud Karavani , Alex Endert , Bum Chul Kwon

The behavior of many Bayesian models used in machine learning critically depends on the choice of prior distributions, controlled by some hyperparameters that are typically selected by Bayesian optimization or cross-validation. This…

Machine Learning · Statistics 2023-10-09 Eliezer de Souza da Silva , Tomasz Kuśmierczyk , Marcelo Hartmann , Arto Klami

Bayesian persuasion, a central model in information design, studies how a sender, who privately observes a state drawn from a prior distribution, strategically sends a signal to influence a receiver's action. A key assumption is that both…

Computer Science and Game Theory · Computer Science 2025-05-23 Jingwu Tang , Jiahao Zhang , Fei Fang , Zhiwei Steven Wu

This paper presents Visual Evaluative AI, a decision aid that provides positive and negative evidence from image data for a given hypothesis. This tool finds high-level human concepts in an image and generates the Weight of Evidence (WoE)…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Thao Le , Tim Miller , Ruihan Zhang , Liz Sonenberg , Ronal Singh