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We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Diffusion models have recently emerged as a powerful technique in image generation, especially for image super-resolution tasks. While 2D diffusion models significantly enhance the resolution of individual images, existing diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Bohao Chen , Yanchao Zhang , Yanan Lv , Hua Han , Xi Chen

Diffusion bridge models establish probabilistic paths between arbitrary paired distributions and exhibit great potential for universal image restoration. Most existing methods merely treat them as simple variants of stochastic interpolants,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Hebaixu Wang , Jing Zhang , Haoyang Chen , Haonan Guo , Di Wang , Jiayi Ma , Bo Du

The distortion-perception (D-P) tradeoff is a fundamental phenomenon of Bayesian inverse problems, which characterizes the inherent tension between distortion performance and perceptual quality. Enabling flexible traversal of the D-P…

Machine Learning · Computer Science 2026-05-29 Jiawei Zhang , Ziyuan Liu , Leon Yan , Zhenyu Xiao , Yuantao Gu

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

Image stitching from different captures often results in non-rectangular boundaries, which is often considered unappealing. To solve non-rectangular boundaries, current solutions involve cropping, which discards image content, inpainting,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Tianhao Zhou , Haipeng Li , Ziyi Wang , Ao Luo , Chen-Lin Zhang , Jiajun Li , Bing Zeng , Shuaicheng Liu

Recent advancements in diffusion models have demonstrated significant success in unsupervised anomaly segmentation. For anomaly segmentation, these models are first trained on normal data; then, an anomalous image is noised to an…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Mehrdad Moradi , Kamran Paynabar

We consider a class of inverse problems characterized by forward operators that are partially specified, non-smooth, and non-differentiable. Although generative inverse solvers have made significant progress, we find that these forward…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Sattwik Basu , Chaitanya Amballa , Zhongweiyang Xu , Jorge Vančo Sampedro , Srihari Nelakuditi , Romit Roy Choudhury

The task of steel surface defect recognition is an industrial problem with great industry values. The data insufficiency is the major challenge in training a robust defect recognition network. Existing methods have investigated to enlarge…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yichun Tai , Kun Yang , Tao Peng , Zhenzhen Huang , Zhijiang Zhang

Microstructure reconstruction serves as a crucial foundation for establishing Process-Structure-Property (PSP) relationship in material design. Confronting the limitations of variational autoencoder and generative adversarial network within…

Computational Engineering, Finance, and Science · Computer Science 2023-11-30 Xianrui Lyu , Xiaodan Ren

Diffusion models have emerged as powerful tools for solving inverse problems due to their exceptional ability to model complex prior distributions. However, existing methods predominantly assume known forward operators (i.e., non-blind),…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Weimin Bai , Siyi Chen , Wenzheng Chen , He Sun

Seismic data processing involves techniques to deal with undesired effects that occur during acquisition and pre-processing. These effects mainly comprise coherent artefacts such as multiples, non-coherent signals such as electrical noise,…

Signal Processing · Electrical Eng. & Systems 2023-06-14 Ricard Durall , Ammar Ghanim , Mario Fernandez , Norman Ettrich , Janis Keuper

Novel view synthesis under sparse views has been a long-term important challenge in 3D reconstruction. Existing works mainly rely on introducing external semantic or depth priors to supervise the optimization of 3D representations. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Qisen Wang , Yifan Zhao , Jiawei Ma , Jia Li

Enforcing alignment between the internal representations of diffusion or flow-based generative models and those of pretrained self-supervised encoders has recently been shown to provide a powerful inductive bias, improving both convergence…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Loukas Sfountouris , Giannis Daras , Paris Giampouras

Reassembly tasks play a fundamental role in many fields and multiple approaches exist to solve specific reassembly problems. In this context, we posit that a general unified model can effectively address them all, irrespective of the input…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Gianluca Scarpellini , Stefano Fiorini , Francesco Giuliari , Pietro Morerio , Alessio Del Bue

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…

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Diffusion-based super-resolution (SR) models have recently garnered significant attention due to their potent restoration capabilities. But conventional diffusion models perform noise sampling from a single distribution, constraining their…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Chengcheng Wang , Zhiwei Hao , Yehui Tang , Jianyuan Guo , Yujie Yang , Kai Han , Yunhe Wang

How do diffusion generative models convert pure noise into meaningful images? In a variety of pretrained diffusion models (including conditional latent space models like Stable Diffusion), we observe that the reverse diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Binxu Wang , John J. Vastola

This work introduces a sampling method capable of solving Bayesian inverse problems in function space. It does not assume the log-concavity of the likelihood, meaning that it is compatible with nonlinear inverse problems. The method…

Machine Learning · Statistics 2024-05-27 Lorenzo Baldassari , Ali Siahkoohi , Josselin Garnier , Knut Solna , Maarten V. de Hoop
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