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Autores principales: Ma, Yiran, Ny, Jerome Le, Chen, Zhichao, Song, Zhihuan
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2604.01870
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author Ma, Yiran
Ny, Jerome Le
Chen, Zhichao
Song, Zhihuan
author_facet Ma, Yiran
Ny, Jerome Le
Chen, Zhichao
Song, Zhihuan
contents In modern process industries, data-driven models are important tools for real-time monitoring when key performance indicators are difficult to measure directly. While accurate predictions are essential, reliable uncertainty quantification (UQ) is equally critical for safety, reliability, and decision-making, but remains a major challenge in current data-driven approaches. In this work, we introduce a diffusion-based posterior sampling framework that inherently produces well-calibrated predictive uncertainty via faithful posterior sampling, eliminating the need for post-hoc calibration. In extensive evaluations on synthetic distributions, the Raman-based phenylacetic acid soft sensor benchmark, and a real ammonia synthesis case study, our method achieves practical improvements over existing UQ techniques in both uncertainty calibration and predictive accuracy. These results highlight diffusion samplers as a principled and scalable paradigm for advancing uncertainty-aware modeling in industrial applications.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01870
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards Intrinsically Calibrated Uncertainty Quantification in Industrial Data-Driven Models via Diffusion Sampler
Ma, Yiran
Ny, Jerome Le
Chen, Zhichao
Song, Zhihuan
Machine Learning
Systems and Control
In modern process industries, data-driven models are important tools for real-time monitoring when key performance indicators are difficult to measure directly. While accurate predictions are essential, reliable uncertainty quantification (UQ) is equally critical for safety, reliability, and decision-making, but remains a major challenge in current data-driven approaches. In this work, we introduce a diffusion-based posterior sampling framework that inherently produces well-calibrated predictive uncertainty via faithful posterior sampling, eliminating the need for post-hoc calibration. In extensive evaluations on synthetic distributions, the Raman-based phenylacetic acid soft sensor benchmark, and a real ammonia synthesis case study, our method achieves practical improvements over existing UQ techniques in both uncertainty calibration and predictive accuracy. These results highlight diffusion samplers as a principled and scalable paradigm for advancing uncertainty-aware modeling in industrial applications.
title Towards Intrinsically Calibrated Uncertainty Quantification in Industrial Data-Driven Models via Diffusion Sampler
topic Machine Learning
Systems and Control
url https://arxiv.org/abs/2604.01870