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Inverse problems are prevalent across various disciplines in science and engineering. In the field of computer vision, tasks such as inpainting, deblurring, and super-resolution are commonly formulated as inverse problems. Recently,…

机器学习 · 计算机科学 2025-01-07 Shayan Mohajer Hamidi , En-Hui Yang

Score-based diffusion models are a recently developed framework for posterior sampling in Bayesian inverse problems with a state-of-the-art performance for severely ill-posed problems by leveraging a powerful prior distribution learned from…

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

This paper addresses the problem of inverse rendering from photometric images. Existing approaches for this problem suffer from the effects of self-shadows, inter-reflections, and lack of constraints on the surface reflectance, leading to…

计算机视觉与模式识别 · 计算机科学 2025-04-09 Jingzhi Bao , Guanying Chen , Shuguang Cui

We present multiscale graph-based reduction algorithms for upscaling heterogeneous and anisotropic diffusion problems. The proposed coarsening approaches begin by constructing a partitioning of the computational domain into a set of…

数值分析 · 数学 2025-10-14 Maria Vasilyeva , James Brannick , Ben S. Southworth

We present the first framework to solve linear inverse problems leveraging pre-trained latent diffusion models. Previously proposed algorithms (such as DPS and DDRM) only apply to pixel-space diffusion models. We theoretically analyze our…

Diffusion models have made remarkable progress in solving various inverse problems, attributing to the generative modeling capability of the data manifold. Posterior sampling from the conditional score function enable the precious data…

计算机视觉与模式识别 · 计算机科学 2024-07-16 Jinghao Zhang , Zizheng Yang , Qi Zhu , Feng Zhao

Fluorescence recovery after photobleaching (FRAP) measurements offer an important tool for analyzing diffusion and binding processes. Confocal scanning laser microscopes that are used in FRAP experiments bleach regions with a radially…

亚细胞过程 · 定量生物学 2009-03-09 George D Tsibidis

The pretrained diffusion model as a strong prior has been leveraged to address inverse problems in a zero-shot manner without task-specific retraining. Different from the unconditional generation, the measurement-guided generation requires…

最优化与控制 · 数学 2025-03-14 Ji Li , Chao Wang

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 provide a framework for solving inverse problems with diffusion models learned from linearly corrupted data. Firstly, we extend the Ambient Diffusion framework to enable training directly from measurements corrupted in the Fourier…

计算机视觉与模式识别 · 计算机科学 2025-04-23 Asad Aali , Giannis Daras , Brett Levac , Sidharth Kumar , Alexandros G. Dimakis , Jonathan I. Tamir

A pre-trained unconditional diffusion model, combined with posterior sampling or maximum a posteriori (MAP) estimation techniques, can solve arbitrary inverse problems without task-specific training or fine-tuning. However, existing…

机器学习 · 计算机科学 2026-02-09 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

The interaction of a protein with its environment can be understood and controlled via its 3D structure. Experimental methods for protein structure determination, such as X-ray crystallography or cryogenic electron microscopy, shed light on…

机器学习 · 计算机科学 2025-04-24 Axel Levy , Eric R. Chan , Sara Fridovich-Keil , Frédéric Poitevin , Ellen D. Zhong , Gordon Wetzstein

Estimating correspondences between pairs of deformable shapes remains a challenging problem. Despite substantial progress, existing methods lack broad generalization capabilities and require category-specific training data. To address these…

计算机视觉与模式识别 · 计算机科学 2025-04-03 Aleksei Zhuravlev , Zorah Lähner , Vladislav Golyanik

Dataset distillation aims to learn a small synthetic dataset that preserves most of the information from the original dataset. Dataset distillation can be formulated as a bi-level meta-learning problem where the outer loop optimizes the…

机器学习 · 计算机科学 2022-10-25 Yongchao Zhou , Ehsan Nezhadarya , Jimmy Ba

Two of the main challenges of image restoration in real-world scenarios are the accurate characterization of an image prior and the precise modeling of the image degradation operator. Pre-trained diffusion models have been very successfully…

计算机视觉与模式识别 · 计算机科学 2025-03-28 Hamadi Chihaoui , Paolo Favaro

Inverse problems are of great importance in astrophysics for deriving information about the physical characteristics of hot optically thin plasma sources from their EUV and X-ray spectra. We describe and test an iterative method developed…

太阳与恒星天体物理 · 物理学 2014-01-24 F. F. Goryaev , S. Parenti , A. M. Urnov , S. N. Oparin , J. -F. Hochedez , F. Reale

Diffusion models can be used as learned priors for solving various inverse problems. However, most existing approaches are restricted to linear inverse problems, limiting their applicability to more general cases. In this paper, we build…

图像与视频处理 · 电气工程与系统科学 2022-11-28 Bahjat Kawar , Jiaming Song , Stefano Ermon , Michael Elad

Protein rotational kinetics are essential for understanding macromolecular behavior in crowded environments, yet measuring these dynamics at solid-liquid interfaces remains a significant challenge due to low signal strengths. Here, we…

The non-destructive estimation of doping concentrations in semiconductor devices is of paramount importance for many applications ranging from crystal growth, the recent redefinition of the 1kg to defect, and inhomogeneity detection. A…

数值分析 · 数学 2023-04-13 Stefano Piani , Patricio Farrell , Wenyu Lei , Nella Rotundo , Luca Heltai