English
Related papers

Related papers: Inverse Problems with Diffusion Models: A MAP Esti…

200 papers

We consider the inverse problem of estimating parameters of a driven diffusion (e.g., the underlying fluid flow, diffusion coefficient, or source terms) from point measurements of a passive scalar (e.g., the concentration of a pollutant).…

Numerical Analysis · Mathematics 2019-05-22 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis

Image restoration (IR) has been an indispensable and challenging task in the low-level vision field, which strives to improve the subjective quality of images distorted by various forms of degradation. Recently, the diffusion model has…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Xin Li , Yulin Ren , Xin Jin , Cuiling Lan , Xingrui Wang , Wenjun Zeng , Xinchao Wang , Zhibo Chen

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,…

Machine Learning · Computer Science 2025-01-07 Shayan Mohajer Hamidi , En-Hui Yang

Imaging inverse problems can be solved in an unsupervised manner using pre-trained diffusion models, but doing so requires approximating the gradient of the measurement-conditional score function in the diffusion reverse process. We show…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Matt C. Bendel , Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color…

Graphics · Computer Science 2016-10-11 Shuang Zhao , Fredo Durand , Changxi Zheng

Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for…

Artificial Intelligence · Computer Science 2024-06-21 Weitong Zhang , Chengqi Zang , Liu Li , Sarah Cechnicka , Cheng Ouyang , Bernhard Kainz

Solving image inverse problems (e.g., super-resolution and inpainting) requires generating a high fidelity image that matches the given input (the low-resolution image or the masked image). By using the input image as guidance, we can…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Haoyue Tang , Tian Xie , Aosong Feng , Hanyu Wang , Chenyang Zhang , Yang Bai

Diffusion Probabilistic Models (DPMs) have recently shown remarkable performance in image generation tasks, which are capable of generating highly realistic images. When adopting DPMs for image restoration tasks, the crucial aspect lies in…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yi Zhang , Xiaoyu Shi , Dasong Li , Xiaogang Wang , Jian Wang , Hongsheng Li

We present Score-Guided Human Mesh Recovery (ScoreHMR), an approach for solving inverse problems for 3D human pose and shape reconstruction. These inverse problems involve fitting a human body model to image observations, traditionally…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Anastasis Stathopoulos , Ligong Han , Dimitris Metaxas

We propose a variant of the classical conditional gradient method for sparse inverse problems with differentiable measurement models. Such models arise in many practical problems including superresolution, time-series modeling, and matrix…

Optimization and Control · Mathematics 2015-07-07 Nicholas Boyd , Geoffrey Schiebinger , Benjamin Recht

Many inverse problems include nuisance parameters which, while not of direct interest, are required to recover primary parameters. Structure present in these problems allows efficient optimization strategies - a well known example is…

Numerical Analysis · Mathematics 2015-06-05 Aleksandr Y. Aravkin , Tristan van Leeuwen

Constructing fast samplers for unconditional diffusion and flow-matching models has received much attention recently; however, existing methods for solving inverse problems, such as super-resolution, inpainting, or deblurring, still require…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Kushagra Pandey , Ruihan Yang , Stephan Mandt

Consider the problem of finding an optimal value of some objective functional subject to constraints over numerical domain. This type of problem arises frequently in practical engineering tasks. Nowdays almost all general methods for…

Optimization and Control · Mathematics 2019-09-13 Sergey Karpukhin

Accurate camera viewpoint estimation under sparse-view conditions remains challenging, particularly in two-view scenarios. Recent approaches leverage diffusion models such as Zero123 to synthesize novel views conditioned on relative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yan-Ting Chen , Hao-Wei Chen , Tsu-Ching Hsiao , Chun-Yi Lee

We study a new family of inverse problems for recovering representations of corrupted data. We assume access to a pre-trained representation learning network R(x) that operates on clean images, like CLIP. The problem is to recover the…

Machine Learning · Computer Science 2021-10-28 Sriram Ravula , Georgios Smyrnis , Matt Jordan , Alexandros G. Dimakis

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov

Diffusion models excel at creating visually-convincing images, but they often struggle to meet subtle constraints inherent in the training data. Such constraints could be physics-based (e.g., satisfying a PDE), geometric (e.g., respecting…

Machine Learning · Computer Science 2025-04-11 Berthy T. Feng , Ricardo Baptista , Katherine L. Bouman

Image inverse problems have numerous applications, including image processing, super-resolution, and computer vision, which are important areas in image science. These application models can be seen as a three-function composite…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Yunfei Qu , Deren Han

Rendering and inverse rendering are pivotal tasks in both computer vision and graphics. The rendering equation is the core of the two tasks, as an ideal conditional distribution transfer function from intrinsic properties to RGB images.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Zhifei Chen , Tianshuo Xu , Wenhang Ge , Leyi Wu , Dongyu Yan , Jing He , Luozhou Wang , Lu Zeng , Shunsi Zhang , Yingcong Chen

As a dominant force in text-to-image generation tasks, Diffusion Probabilistic Models (DPMs) face a critical challenge in controllability, struggling to adhere strictly to complex, multi-faceted instructions. In this work, we aim to address…

Machine Learning · Computer Science 2024-02-27 Xuantong Liu , Tianyang Hu , Wenjia Wang , Kenji Kawaguchi , Yuan Yao