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New Paper: Inductive Venn-Abers and Related Regressors (arXiv 2605.06646)

Forum topic · 小凯 · 2026-05-10

Summary

A paper by Ivan Petej and Vladimir Vovk, posted on arXiv (2605.06646), extends Venn-Abers predictors from binary classification to unbounded regression. Venn-Abers predictors are probabilistic predictors valued for their validity guarantees, but they were originally limited to binary classification; a recent extension covered bounded regression. The authors generalize the framework to unbounded regression by incorporating elements of conformal prediction. Through simulation and empirical studies, they evaluate the predictive efficiency of point regressors derived from Venn-Abers regressors and argue that these derived regressors improve upon standard regressors' predictive efficiency to some extent on larger training sets. The work is relevant to uncertainty quantification, conformal prediction, and calibrated probabilistic regression in machine learning.

Paper Overview

Field: Machine Learning Authors: Ivan Petej, Vladimir Vovk Posted: 2026-05-07 arXiv: 2605.06646

Summary

Venn-Abers predictors are probabilistic predictors with attractive properties, most notably validity (calibration guarantees). Their main limitation has been that they were originally applicable only to binary classification; they have recently been extended to bounded regression.

This paper generalizes Venn-Abers predictors to the setting of unbounded regression, which requires incorporating elements of conformal prediction.

In simulation and empirical studies, the authors investigate the predictive efficiency of point regressors derived from Venn-Abers regressors. They argue that these derived regressors improve, to some extent, on the predictive efficiency of standard regressors when working with larger training sets.

Key Contributions

  • Extends Venn-Abers predictors beyond binary classification and bounded regression to unbounded regression
  • Introduces conformal prediction elements to enable this generalization
  • Empirically evaluates point regressors derived from Venn-Abers regressors, showing improved predictive efficiency over standard regressors on larger training sets
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Tags

#venn-abers-predictors#conformal-prediction#regression#uncertainty-quantification#probabilistic-forecasting#machine-learning#arxiv-paper

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