English(EN) Hilbert-Scale Stability of Posterior Diffusion Priors for Ill-Posed Signal Recovery

新理论探讨扩散先验在信号恢复中的稳定性

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-21 04:00

研究人员开发了一个新的理论框架，用于理解信号恢复问题中后验扩散先验的稳定性。这项工作侧重于希尔伯特尺度下的线性逆问题，引入了一个分数放大条件来分析学习到的分数的有效性。研究结果提供了非渐近恢复界限，区分了观测噪声、分数近似误差和离散化效应，并建立了一个受算子平滑、信号规律性和分数精度影响的可恢复规律性阈值。 AI

影响为扩散模型在信号处理中的应用提供了理论基础，有望改善其在复杂重建任务中的应用。

排序理由关于机器学习中理论概念的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Bahman Moraffah, Raha Moraffah · 2026-10-21 04:00

Hilbert尺度下后验扩散先验在病态信号恢复中的稳定性

arXiv:2610.27030v1 Announce Type: new Abstract: Indirect and noisy observations are difficult to invert when the forward operator smooths out the unknown signal. In this case, the unstable modes are precisely the modes that the data reveals least, thus the success of any reconstr…

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Hilbert尺度下后验扩散先验在病态信号恢复中的稳定性

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