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Main Authors: Yao, Qing, Gao, Lijian, Mao, Qirong, Dong, Ming
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.11686
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author Yao, Qing
Gao, Lijian
Mao, Qirong
Dong, Ming
author_facet Yao, Qing
Gao, Lijian
Mao, Qirong
Dong, Ming
contents Diffusion models serve as a powerful generative framework for solving inverse problems. However, they still face two key challenges: 1) the distortion-perception tradeoff, where improving perceptual quality often degrades reconstruction fidelity, and 2) the exposure bias problem, where the training-inference input mismatch leads to prediction error accumulation and reduced reconstruction quality. In this work, we propose the Regularized Schrödinger Bridge (RSB), an adaptation of Schrödinger Bridge tailored for inverse problems that addresses the above limitations. RSB employs a novel regularized training strategy that perturbs both the input states and targets, effectively mitigating exposure bias by exposing the model to simulated prediction errors and also alleviating distortion by well-designed interpolation via the posterior mean. Extensive experiments on two typical inverse problems for speech enhancement demonstrate that RSB outperforms state-of-the-art methods, significantly improving distortion metrics and effectively reducing exposure bias.
format Preprint
id arxiv_https___arxiv_org_abs_2511_11686
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regularized Schrödinger Bridge: Alleviating Distortion and Exposure Bias in Solving Inverse Problems
Yao, Qing
Gao, Lijian
Mao, Qirong
Dong, Ming
Machine Learning
Sound
Diffusion models serve as a powerful generative framework for solving inverse problems. However, they still face two key challenges: 1) the distortion-perception tradeoff, where improving perceptual quality often degrades reconstruction fidelity, and 2) the exposure bias problem, where the training-inference input mismatch leads to prediction error accumulation and reduced reconstruction quality. In this work, we propose the Regularized Schrödinger Bridge (RSB), an adaptation of Schrödinger Bridge tailored for inverse problems that addresses the above limitations. RSB employs a novel regularized training strategy that perturbs both the input states and targets, effectively mitigating exposure bias by exposing the model to simulated prediction errors and also alleviating distortion by well-designed interpolation via the posterior mean. Extensive experiments on two typical inverse problems for speech enhancement demonstrate that RSB outperforms state-of-the-art methods, significantly improving distortion metrics and effectively reducing exposure bias.
title Regularized Schrödinger Bridge: Alleviating Distortion and Exposure Bias in Solving Inverse Problems
topic Machine Learning
Sound
url https://arxiv.org/abs/2511.11686