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Scientists continue to develop increasingly complex mechanistic models to reflect their knowledge more realistically. Statistical inference using these models can be challenging since the corresponding likelihood function is often…

Computation · Statistics 2026-01-07 Joshua J Bon , David J Warne , David J Nott , Christopher Drovandi

Bayesian models provide recursive inference naturally because they can formally reconcile new data and existing scientific information. However, popular use of Bayesian methods often avoids priors that are based on exact posterior…

Methodology · Statistics 2019-04-29 Mevin B. Hooten , Devin S. Johnson , Brian M. Brost

In real-world Bayesian inference applications, prior assumptions regarding the parameters of interest may be unrepresentative of their actual values for a given dataset. In particular, if the likelihood is concentrated far out in the wings…

Computation · Statistics 2018-11-01 Xi Chen , Mike Hobson , Saptarshi Das , Paul Gelderblom

Explanations for AI models in high-stakes domains like medicine often lack verifiability, which can hinder trust. To address this, we propose an interactive agent that produces explanations through an auditable sequence of actions. The…

Artificial Intelligence · Computer Science 2025-11-04 Yuhang Huang , Zekai Lin , Fan Zhong , Lei Liu

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

Artificial Intelligence-generated content has become increasingly popular, yet its malicious use, particularly the deepfakes, poses a serious threat to public trust and discourse. While deepfake detection methods achieve high predictive…

Machine Learning · Computer Science 2025-07-15 Tomasz Szandala , Fatima Ezzeddine , Natalia Rusin , Silvia Giordano , Omran Ayoub

In a bivariate meta-analysis the number of diagnostic studies involved is often very low so that frequentist methods may result in problems. Bayesian inference is attractive as informative priors that add small amount of information can…

Methodology · Statistics 2015-12-22 Jingyi Guo , Håvard Rue , Andrea Riebler

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

Methodology · Statistics 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

Normative and task-driven theories offer powerful top-down explanations for biological systems, yet the goals of quantitatively arbitrating between competing theories, and utilizing them as inductive biases to improve data-driven fits of…

Artificial Intelligence · Computer Science 2025-09-30 Bahti Zakirov , Gašper Tkačik

Advanced Artificial Intelligence (AI) systems, specifically large language models (LLMs), have the capability to generate not just misinformation, but also deceptive explanations that can justify and propagate false information and erode…

Artificial Intelligence · Computer Science 2024-08-02 Valdemar Danry , Pat Pataranutaporn , Matthew Groh , Ziv Epstein , Pattie Maes

Recent advances in deep learning have led to a data-centric intelligence i.e. artificially intelligent models unlocking the potential to ingest a large amount of data and be really good at performing digital tasks such as text-to-image…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Muhammad Zubair Irshad

In today's society, AI systems are increasingly used to make critical decisions such as credit scoring and patient triage. However, great convenience brought by AI systems comes with troubling prevalence of bias against underrepresented…

Machine Learning · Computer Science 2021-05-11 Yan Zhou , Murat Kantarcioglu , Chris Clifton

We propose a simple approach that provides accurate uncertainty quantification for Bayesian inference in misspecified or approximate models, and for generalized (Gibbs) posteriors. While existing solutions in this context are based on…

Methodology · Statistics 2026-03-11 David T. Frazier , Christopher Drovandi , Robert Kohn

Priors in Bayesian analyses often encode informative domain knowledge that can be useful in making the inference process more efficient. Occasionally, however, priors may be unrepresentative of the parameter values for a given dataset,…

Computation · Statistics 2022-07-05 Xi Chen , Farhan Feroz , Michael Hobson

The power prior is a class of informative priors designed to incorporate historical data alongside current data in a Bayesian framework. It includes a power parameter that controls the influence of historical data, providing flexibility and…

Machine Learning · Statistics 2025-05-23 Masanari Kimura , Howard Bondell

We present a new methodology for handling AI errors by introducing weakly supervised AI error correctors with a priori performance guarantees. These AI correctors are auxiliary maps whose role is to moderate the decisions of some previously…

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

Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

Methodology · Statistics 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

Artificial intelligence (AI) models trained on published scientific findings have been used to invent valuable materials and targeted therapies, but they typically ignore the human scientists who continually alter the landscape of…

Artificial Intelligence · Computer Science 2023-06-05 Jamshid Sourati , James Evans

When used in complex engineered systems, such as communication networks, artificial intelligence (AI) models should be not only as accurate as possible, but also well calibrated. A well-calibrated AI model is one that can reliably quantify…

Machine Learning · Computer Science 2022-12-16 Kfir M. Cohen , Sangwoo Park , Osvaldo Simeone , Shlomo Shamai