{"slug": "estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior", "title": "Estimation of instrument and noise parameters for inverse problem based on prior diffusion model", "summary": "Researchers proposed a method to estimate observation parameters and noise in inverse problems using a diffusion-based prior model within a Bayesian framework. The approach enables optimal estimation of both parameters and the image of interest, along with uncertainty quantification, and demonstrated computational efficiency and high-quality results in numerical experiments.", "body_md": "arXiv:2602.11711v2 Announce Type: replace-cross\nAbstract: This article addresses the issue of estimating observation parameters (response and error parameters) in inverse problems. The focus is on cases where regularization is introduced in a Bayesian framework and the prior is modeled by a diffusion process. In this context, the issue of posterior sampling is known to be thorny, and a recent paper proposes a notably simple and effective solution. Additionally, it opens an remarkable flexibility when it comes to estimating observation parameters. The proposed strategy enables to define an optimal estimator for both observation parameters and image of interest. Furthermore, the strategy provides a means for uncertainty quantification. In addition, MCMC algorithms allow for the computation of estimates and properties of posteriors, while offering some guarantees. The paper presents several numerical experiments that clearly confirm the computational efficiency and the quality of both estimates and uncertainty quantification.", "url": "https://wpnews.pro/news/estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior", "canonical_source": "https://www.machinebrief.com/news/estimation-of-instrument-and-noise-parameters-for-inverse-pr-vwl5", "published_at": "2026-07-08 04:00:00+00:00", "updated_at": "2026-07-08 05:11:23.126217+00:00", "lang": "en", "topics": ["machine-learning", "ai-research"], "entities": [], "alternates": {"html": "https://wpnews.pro/news/estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior", "markdown": "https://wpnews.pro/news/estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior.md", "text": "https://wpnews.pro/news/estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior.txt", "jsonld": "https://wpnews.pro/news/estimation-of-instrument-and-noise-parameters-for-inverse-problem-based-on-prior.jsonld"}}