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Improved Probabilistic Regression Using Diffusion Models

MCML Authors

Abstract

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models have shown remarkable success in generating high-dimensional data, their usage in regression tasks often lacks uncertainty-related evaluation. We propose a novel diffusion-based framework for probabilistic regression where we model the full distribution of the diffusion noise, enabling adaptation to diverse tasks and enhanced uncertainty quantification.

inproceedings KBS+26


NLDL 2026

Northern Lights Deep Learning Conference. Tromsø, Norway, Jan 06-08, 2026. To be published. Preprint available.

Authors

C. KneisslC. BülteP. SchollG. Kutyniok

Links

URL

Research Area

 A2 | Mathematical Foundations

BibTeXKey: KBS+26

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