Martingale posteriors for generative classifiers

Generative models for classification are a well-established method in statistics and machine learning. Martingales posteriors provide a computationally feasible method for performing prior-free Bayesian analysis. This paper aims to address the problem of uncertainty quantification through martingale posteriors for generative models for classification. To this aim, a conditionally identically distributed sequence of observations is considered. An empirical analysis is given.

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Publication Details

Journal
Statistics & Probability Letters
Published
2025-12-18
DOI
https://doi.org/10.1016/j.spl.2025.110627
Primary Topic
Bayesian Methods and Mixture Models
Type
article
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article

Martingale posteriors for generative classifiers

Matteo Borrotti, Pier Giovanni Bissiri
Statistics & Probability Letters
Bayesian Methods and Mixture Models
article

Martingale posteriors for generative classifiers

Matteo Borrotti, Pier Giovanni Bissiri
article en

Abstract

Generative models for classification are a well-established method in statistics and machine learning. Martingales posteriors provide a computationally feasible method for performing prior-free Bayesian analysis. This paper aims to address the problem of uncertainty quantification through martingale posteriors for generative models for classification. To this aim, a conditionally identically distributed sequence of observations is considered. An empirical analysis is given.

Statistics & Probability LettersVol. 231
University of Milano-Bicocca (IT)
Openalex Percentile: Top 78%
Bayesian Methods and Mixture Models
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