Trustworthy scientific inference with generative models

Fuente: arXiv
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Autori principali: Carzon, James, Masserano, Luca, Ingram, Joshua D., Shen, Alex, Junior, Antonio Carlos Herling Ribeiro, Dorigo, Tommaso, Doro, Michele, Speagle, Joshua S., Izbicki, Rafael, Lee, Ann B.
Natura: Preprint
Pubblicazione: 2025
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author Carzon, James
Masserano, Luca
Ingram, Joshua D.
Shen, Alex
Junior, Antonio Carlos Herling Ribeiro
Dorigo, Tommaso
Doro, Michele
Speagle, Joshua S.
Izbicki, Rafael
Lee, Ann B.
author_facet Carzon, James
Masserano, Luca
Ingram, Joshua D.
Shen, Alex
Junior, Antonio Carlos Herling Ribeiro
Dorigo, Tommaso
Doro, Michele
Speagle, Joshua S.
Izbicki, Rafael
Lee, Ann B.
contents Generative artificial intelligence (AI) excels at producing complex data structures (text, images, videos) by learning patterns from training examples. Across scientific disciplines, researchers are now applying generative models to "inverse problems" to directly predict hidden parameters from observed data along with measures of uncertainty. While these predictive or posterior-based methods can handle intractable likelihoods and large-scale studies, they can also produce biased or overconfident conclusions even without model misspecifications. We present a solution with Frequentist-Bayes (FreB), a mathematically rigorous protocol that reshapes AI-generated posterior probability distributions into (locally valid) confidence regions that consistently include true parameters with the expected probability, while achieving minimum size when training and target data align. We demonstrate FreB's effectiveness by tackling diverse case studies in the physical sciences: identifying unknown sources under dataset shift, reconciling competing theoretical models, and mitigating selection bias and systematics in observational studies. By providing validity guarantees with interpretable diagnostics, FreB enables trustworthy scientific inference across fields where direct likelihood evaluation remains impossible or prohibitively expensive.
format Preprint
id arxiv_https___arxiv_org_abs_2508_02602
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Trustworthy scientific inference with generative models
Carzon, James
Masserano, Luca
Ingram, Joshua D.
Shen, Alex
Junior, Antonio Carlos Herling Ribeiro
Dorigo, Tommaso
Doro, Michele
Speagle, Joshua S.
Izbicki, Rafael
Lee, Ann B.
Machine Learning
Instrumentation and Methods for Astrophysics
Applications
Methodology
Generative artificial intelligence (AI) excels at producing complex data structures (text, images, videos) by learning patterns from training examples. Across scientific disciplines, researchers are now applying generative models to "inverse problems" to directly predict hidden parameters from observed data along with measures of uncertainty. While these predictive or posterior-based methods can handle intractable likelihoods and large-scale studies, they can also produce biased or overconfident conclusions even without model misspecifications. We present a solution with Frequentist-Bayes (FreB), a mathematically rigorous protocol that reshapes AI-generated posterior probability distributions into (locally valid) confidence regions that consistently include true parameters with the expected probability, while achieving minimum size when training and target data align. We demonstrate FreB's effectiveness by tackling diverse case studies in the physical sciences: identifying unknown sources under dataset shift, reconciling competing theoretical models, and mitigating selection bias and systematics in observational studies. By providing validity guarantees with interpretable diagnostics, FreB enables trustworthy scientific inference across fields where direct likelihood evaluation remains impossible or prohibitively expensive.
title Trustworthy scientific inference with generative models
topic Machine Learning
Instrumentation and Methods for Astrophysics
Applications
Methodology
url https://arxiv.org/abs/2508.02602