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Generative Quantile Bayesian Prediction

Published: October 18, 2025 | arXiv ID: 2510.21784v1

By: Maria Nareklishvili, Nick Polson, Vadim Sokolov

Potential Business Impact:

Predicts future events more accurately.

Business Areas:
Predictive Analytics Artificial Intelligence, Data and Analytics, Software

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.

Page Count
18 pages

Category
Statistics:
Methodology