Generative Quantile Bayesian Prediction

Fuente: arXiv
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Main Authors: Nareklishvili, Maria, Polson, Nick, Sokolov, Vadim
Format: Preprint
Published: 2025
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author Nareklishvili, Maria
Polson, Nick
Sokolov, Vadim
author_facet Nareklishvili, Maria
Polson, Nick
Sokolov, Vadim
contents Prediction is a central task of machine learning. Our goal is to solve large scale prediction problems using Generative Quantile Bayesian Prediction (GQBP).By directly learning predictive quantiles rather than densities we achieve a number of theoretical and practical advantages. We contrast our approach with state-of-the-art methods including conformal prediction, fiducial prediction and marginal likelihood. Our distinguishing feature of our method is the use of generative methods for predictive quantile maps. We illustrate our methodology for normal-normal learning and causal inference. Finally, we conclude with directions for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21784
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generative Quantile Bayesian Prediction
Nareklishvili, Maria
Polson, Nick
Sokolov, Vadim
Methodology
Computation
Prediction is a central task of machine learning. Our goal is to solve large scale prediction problems using Generative Quantile Bayesian Prediction (GQBP).By directly learning predictive quantiles rather than densities we achieve a number of theoretical and practical advantages. We contrast our approach with state-of-the-art methods including conformal prediction, fiducial prediction and marginal likelihood. Our distinguishing feature of our method is the use of generative methods for predictive quantile maps. We illustrate our methodology for normal-normal learning and causal inference. Finally, we conclude with directions for future research.
title Generative Quantile Bayesian Prediction
topic Methodology
Computation
url https://arxiv.org/abs/2510.21784