Consistency Training with Physical Constraints

Fuente: arXiv
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Auteurs principaux: Chang, Che-Chia, Dai, Chen-Yang, Lin, Te-Sheng, Lai, Ming-Chih, Lai, Chieh-Hsin
Format: Preprint
Publié: 2025
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author Chang, Che-Chia
Dai, Chen-Yang
Lin, Te-Sheng
Lai, Ming-Chih
Lai, Chieh-Hsin
author_facet Chang, Che-Chia
Dai, Chen-Yang
Lin, Te-Sheng
Lai, Ming-Chih
Lai, Chieh-Hsin
contents We propose a physics-aware Consistency Training (CT) method that accelerates sampling in Diffusion Models with physical constraints. Our approach leverages a two-stage strategy: (1) learning the noise-to-data mapping via CT, and (2) incorporating physics constraints as a regularizer. Experiments on toy examples show that our method generates samples in a single step while adhering to the imposed constraints. This approach has the potential to efficiently solve partial differential equations (PDEs) using deep generative modeling.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07636
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Consistency Training with Physical Constraints
Chang, Che-Chia
Dai, Chen-Yang
Lin, Te-Sheng
Lai, Ming-Chih
Lai, Chieh-Hsin
Machine Learning
We propose a physics-aware Consistency Training (CT) method that accelerates sampling in Diffusion Models with physical constraints. Our approach leverages a two-stage strategy: (1) learning the noise-to-data mapping via CT, and (2) incorporating physics constraints as a regularizer. Experiments on toy examples show that our method generates samples in a single step while adhering to the imposed constraints. This approach has the potential to efficiently solve partial differential equations (PDEs) using deep generative modeling.
title Consistency Training with Physical Constraints
topic Machine Learning
url https://arxiv.org/abs/2502.07636