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Diffusion models have shown strong performances in solving inverse problems through posterior sampling while they suffer from errors during earlier steps. To mitigate this issue, several Decoupled Posterior Sampling methods have been…

机器学习 · 计算机科学 2025-04-15 Zhi Qi , Shihong Yuan , Yulin Yuan , Linling Kuang , Yoshiyuki Kabashima , Xiangming Meng

Diffusion models have emerged as powerful learned priors for solving inverse problems. However, current iterative solving approaches which alternate between diffusion sampling and data consistency steps typically require hundreds or…

计算机视觉与模式识别 · 计算机科学 2025-12-30 Minwoo Kim , Hongki Lim

Inverse problems, where the goal is to recover an unknown signal from noisy or incomplete measurements, are central to applications in medical imaging, remote sensing, and computational biology. Diffusion models have recently emerged as…

机器学习 · 计算机科学 2026-01-15 Shayan Mohajer Hamidi , En-Hui Yang , Ben Liang

Recent studies demonstrate that diffusion models can serve as a strong prior for solving inverse problems. A prominent example is Diffusion Posterior Sampling (DPS), which approximates the posterior distribution of data given the measure…

机器学习 · 统计学 2024-09-16 Yaxuan Zhu , Zehao Dou , Haoxin Zheng , Yasi Zhang , Ying Nian Wu , Ruiqi Gao

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

机器学习 · 计算机科学 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

Diffusion models have recently attained significant interest within the community owing to their strong performance as generative models. Furthermore, its application to inverse problems have demonstrated state-of-the-art performance.…

图像与视频处理 · 电气工程与系统科学 2022-03-22 Hyungjin Chung , Byeongsu Sim , Jong Chul Ye

Flow matching is a recent state-of-the-art framework for generative modeling based on ordinary differential equations (ODEs). While closely related to diffusion models, it provides a more general perspective on generative modeling. Although…

计算机视觉与模式识别 · 计算机科学 2025-03-12 Jeongsol Kim , Bryan Sangwoo Kim , Jong Chul Ye

We propose a data-efficient, physics-aware generative framework in function space for inverse PDE problems. Existing plug-and-play diffusion posterior samplers represent physics implicitly through joint coefficient-solution modeling,…

机器学习 · 计算机科学 2026-03-03 Thomas Y. L. Lin , Jiachen Yao , Lufang Chiang , Julius Berner , Anima Anandkumar

We propose Amortized Posterior Sampling (APS), a novel variational inference approach for efficient posterior sampling in inverse problems. Our method trains a conditional flow model to minimize the divergence between the variational…

计算机视觉与模式识别 · 计算机科学 2025-07-14 Abbas Mammadov , Hyungjin Chung , Jong Chul Ye

Feature selection is fundamental to robust data-centric AI, but most existing methods optimize predictive performance under a single data distribution. This often selects spurious features that fail under distribution shifts. Motivated by…

机器学习 · 计算机科学 2026-03-24 Arun Vignesh Malarkkan , Xinyuan Wang , Kunpeng Liu , Denghui Zhang , Yanjie Fu

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

计算机视觉与模式识别 · 计算机科学 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

Diffusion models have emerged as powerful generative priors for solving inverse imaging problems. However, their practical deployment is hindered by the substantial computational cost of slow, multi-step sampling. Although Consistency…

图像与视频处理 · 电气工程与系统科学 2025-12-04 Amirreza Tanevardi , Pooria Abbas Rad Moghadam , Seyed Mohammad Eshtehardian , Sajjad Amini , Babak Khalaj

Diffusion models have emerged as powerful generative techniques for solving inverse problems. Despite their success in a variety of inverse problems in imaging, these models require many steps to converge, leading to slow inference time.…

图像与视频处理 · 电气工程与系统科学 2024-11-13 Yaşar Utku Alçalar , Mehmet Akçakaya

Deep generative models have emerged as state-of-the-art for solving inverse problems, but applying them to inverse problems for PDEs, like electrical impedance tomography (EIT) remains challenging. Because physical domains are naturally…

图像与视频处理 · 电气工程与系统科学 2026-05-20 Giovanni S. Alberti , Damiana Lazzaro , Serena Morigi , Matteo Santacesaria , Shibo Wang

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…

Diffusion models have recently achieved success in solving Bayesian inverse problems with learned data priors. Current methods build on top of the diffusion sampling process, where each denoising step makes small modifications to samples…

机器学习 · 计算机科学 2025-08-19 Bingliang Zhang , Wenda Chu , Julius Berner , Chenlin Meng , Anima Anandkumar , Yang Song

Classifier-free guidance (CFG) is a cornerstone of text-to-image diffusion models, yet its effectiveness is limited by the use of static guidance scales. This "one-size-fits-all" approach fails to adapt to the diverse requirements of…

There has been a flurry of activity around using pretrained diffusion models as informed data priors for solving inverse problems, and more generally around steering these models using reward models. Training-free methods like diffusion…

机器学习 · 计算机科学 2025-06-13 Aayush Karan , Kulin Shah , Sitan Chen

Inverse problems exist in many disciplines of science and engineering. In computer vision, for example, tasks such as inpainting, deblurring, and super resolution can be effectively modeled as inverse problems. Recently, denoising diffusion…

计算机视觉与模式识别 · 计算机科学 2024-12-31 Shayan Mohajer Hamidi , En-Hui Yang

Inverse problems are fundamental to science and engineering, where the goal is to infer an underlying signal or state from incomplete or noisy measurements. Recent approaches employ diffusion models as powerful implicit priors for such…

机器学习 · 计算机科学 2025-11-27 Bilal Ahmed , Joseph G. Makin
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