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Paper · arXiv

Trustworthy Predictive Distributions for Tail Events with Semiparametric Diagnostic Transport Maps

Machine learning forecast systems are moving beyond point predictions to full predictive distributions for future outcomes y conditional on complex inputs x. However, these distributions are often locally miscalibrated, especially for high-stakes tail events where accurate uncertainty quantification is most needed to establish trust in models. Local miscalibration occurs because training data often lack examples of low-frequency events. The goal of this paper is to describe a simple, yet flexible framework that, at deployment, produces interpretable diagnostics and a robust correction mechanism of predictive distributions when train examples are limited. With this goal in mind, we introdu...

AuthorsElizabeth Cucuzzella, Rafael Izbicki, Ann B. Lee
Primary categorystat.ML
Published11 March 2026
Last updated at source21 September 2026
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