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We propose a score-based generative algorithm for sampling from power-scaled priors and likelihoods within the Bayesian inference framework. Our algorithm enables flexible control over prior-likelihood influence without requiring retraining…

Machine Learning · Computer Science 2026-04-03 Huseyin Tuna Erdinc , Yunlin Zeng , Abhinav Prakash Gahlot , Felix J. Herrmann

The construction of numerical value scales (or priority values) is a recurrent topic in decision-aiding research. However, in real contexts, uncertainty and limited cognitive precision often lead decision-makers to provide interval…

General Mathematics · Mathematics 2025-10-21 Diego García-Zamora , José Rui Figueira

Machine learning algorithms are increasingly used for consequential decision making regarding individuals based on their relevant features. Features that are relevant for accurate decisions may however lead to either explicit or implicit…

Machine Learning · Computer Science 2021-06-09 Sajad Khodadadian , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

Estimating the strength of dependency between two variables is fundamental for exploratory analysis and many other applications in data mining. For example: non-linear dependencies between two continuous variables can be explored with the…

Machine Learning · Statistics 2016-01-21 Simone Romano , Nguyen Xuan Vinh , James Bailey , Karin Verspoor

Identifying leading measurement units from a large collection is a common inference task in various domains of large-scale inference. Testing approaches, which measure evidence against a null hypothesis rather than effect magnitude, tend to…

Methodology · Statistics 2020-11-17 Nicholas C. Henderson , Michael A. Newton

Risk prediction models are often advertised as deterministic functions that map covariates to predicted risks. However, they are typically trained using finite samples, and as such, their predictions are inherently uncertain. This…

Methodology · Statistics 2025-06-03 Abdollah Safari , Paul Gustafson , Mohsen Sadatsafavi

Parameter ensembles or sets of random effects constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where several decision theoretic frameworks can be deployed. The…

Statistics Theory · Mathematics 2015-03-19 Cedric E. Ginestet

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

Computation · Statistics 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

Sensitivity Analysis is a framework to assess how conclusions drawn from missing outcome data may be vulnerable to departures from untestable underlying assumptions. We extend the E-value, a popular metric for quantifying robustness of…

Methodology · Statistics 2021-08-31 Wu Xue , Abbas Zaidi

High-dimensional Bayesian procedures often exhibit behavior that is effectively low dimensional, even when the ambient parameter space is large or infinite-dimensional. This phenomenon underlies the success of shrinkage priors,…

Statistics Theory · Mathematics 2025-12-30 Sayantan Banerjee

Bayesian models of behavior have provided computational level explanations in a range of psychophysical tasks. One fundamental experimental paradigm is the production or reproduction task, in which subjects are instructed to generate an…

Machine Learning · Computer Science 2022-01-03 Nils Neupärtl , Constantin A. Rothkopf

Background: When selecting predictive tools, for implementation in clinical practice or for recommendation in guidelines, clinicians are challenged with an overwhelming and ever-growing number of tools. Many of these have never been…

Computers and Society · Computer Science 2019-07-29 Mohamed Khalifa , Farah Magrabi , Blanca Gallego

How much more will we learn about single-field inflationary models in the future? We address this question in the context of Bayesian design and information theory. We develop a novel method to compute the expected utility of deciding…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Robert J. Hardwick , Vincent Vennin , David Wands

Pragmatic trials increasingly define outcomes using real-world data such as electronic health records, where assessments are collected during routine care rather than at fixed timepoints. Consequently, these uncontrolled assessments may be…

Economic evaluations from individual-level data are an important component of the process of technology appraisal, with a view to informing resource allocation decisions. A critical problem in these analyses is that both effectiveness and…

Applications · Statistics 2018-02-01 Andrea Gabrio , Alexina J. Mason , Gianluca Baio

Significant treatment effects are often emphasized when interpreting and summarizing empirical findings in studies that estimate multiple, possibly many, treatment effects. Under this kind of selective reporting, conventional treatment…

Econometrics · Economics 2025-12-11 Andreas Dzemski , Ryo Okui , Wenjie Wang

Ensuring fairness in data driven decision making has become a central concern across domains such as marketing, lending, and healthcare, but fairness constraints often come at the cost of utility. We propose a statistical hypothesis testing…

Computers and Society · Computer Science 2025-09-25 Yan Chen , Zheng Tan , Jose Blanchet , Hanzhang Qin

It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that standard approaches…

Methodology · Statistics 2020-07-16 Chris. J. Oates , Jon Cockayne , Dennis Prangle , T. J. Sullivan , Mark Girolami

A formalized and quantifiable responsibility score is a crucial component in many aspects of the development and application of multi-agent systems and autonomous agents. We can employ it to inform decision making processes based on ethical…

Computer Science and Game Theory · Computer Science 2022-09-16 Sarah Hiller , Jonas Israel , Jobst Heitzig

According to different typologies of activity and priority, risks can assume diverse meanings and it can be assessed in different ways. In general risk is measured in terms of a probability combination of an event (frequency) and its…

Physics and Society · Physics 2009-11-13 C. E. Bonafede , P. Giudici