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This paper proposes a novel approach to spectral computed tomography (CT) material decomposition that uses the recent advances in generative diffusion models (DMs) for inverse problems. Spectral CT and more particularly photon-counting CT…

Recovering high-dimensional statistical structure from limited measurements is a fundamental challenge in hyperspectral imaging, where capturing full-resolution data is often infeasible due to sensor, bandwidth, or acquisition constraints.…

Image and Video Processing · Electrical Eng. & Systems 2025-08-01 Jonathan Monsalve , Kumar Vijay Mishra

Diffraction tomography is an inverse scattering technique used to reconstruct the spatial distribution of the material properties of a weakly scattering object. The object is exposed to radiation, typically light or ultrasound, and the…

Numerical Analysis · Mathematics 2024-03-26 Clemens Kirisits , Noemi Naujoks , Otmar Scherzer

Overdamped Langevin dynamics are reversible stochastic differential equations which are commonly used to sample probability measures in high-dimensional spaces, such as the ones appearing in computational statistical physics and Bayesian…

Numerical Analysis · Mathematics 2025-02-10 Tony Lelièvre , Grigorios A. Pavliotis , Geneviève Robin , Régis Santet , Gabriel Stoltz

Omnidirectional image super-resolution (ODISR) aims to upscale low-resolution (LR) omnidirectional images (ODIs) to high-resolution (HR), catering to the growing demand for detailed visual content across a $ 180^{\circ}\times360^{\circ}$…

Image and Video Processing · Electrical Eng. & Systems 2026-03-04 Xuhan Sheng , Runyi Li , Bin Chen , Weiqi Li , Xu Jiang , Jian Zhang

Seismic acoustic impedance plays a crucial role in lithological identification and subsurface structure interpretation. However, due to the inherently ill-posed nature of the inversion problem, directly estimating impedance from post-stack…

Machine Learning · Computer Science 2025-06-17 Jie Chen , Hongling Chen , Jinghuai Gao , Chuangji Meng , Tao Yang , XinXin Liang

Hyperspectral signal reconstruction aims at recovering the original spectral input that produced a certain trichromatic (RGB) response from a capturing device or observer. Given the heavily underconstrained, non-linear nature of the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-15 Aitor Alvarez-Gila , Joost van de Weijer , Estibaliz Garrote

Diffusion model (DM) based Video Super-Resolution (VSR) approaches achieve impressive perceptual quality. However, they suffer from error accumulation, spatial artifacts, and a trade-off between perceptual quality and fidelity, primarily…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Jingyi Xu , Meisong Zheng , Ying Chen , Minglang Qiao , Xin Deng , Mai Xu

Image-to-image translation aims to learn a mapping between a source and a target domain, enabling tasks such as style transfer, appearance transformation, and domain adaptation. In this work, we explore a diffusion-based framework for…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Qiang Zhu , Kuan Lu , Menghao Huo , Yuxiao Li

Ultrashort laser pulses enable attosecond-scale measurements and drive breakthroughs across science and technology, but their routine use hinges on reliable pulse characterization. Frequency-Resolved Optical Gating (FROG) is a leading…

Optics · Physics 2026-04-29 Abhimanyu Borthakur , Jack Eden Hirschman , Sergio Carbajo

This paper studies a diffusion-based framework to address the low-light image enhancement problem. To harness the capabilities of diffusion models, we delve into this intricate process and advocate for the regularization of its inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Jinhui Hou , Zhiyu Zhu , Junhui Hou , Hui Liu , Huanqiang Zeng , Hui Yuan

Optical coherence tomography (OCT) is a non-invasive, micrometer-scale imaging modality that has become a clinical standard in ophthalmology. By raster-scanning the retina, sequential cross-sectional image slices are acquired to generate…

Image and Video Processing · Electrical Eng. & Systems 2024-02-20 Stefan Ploner , Jungeun Won , Julia Schottenhamml , Jessica Girgis , Kenneth Lam , Nadia Waheed , James Fujimoto , Andreas Maier

Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

We theoretically study the hallucination phenomena in two canonical diffusion samplers: the stochastic Denoising Diffusion Probabilistic Model (DDPM) and the deterministic Denoising Diffusion Implicit Model (DDIM). We analyze the reverse…

Machine Learning · Computer Science 2026-05-11 Muhammad H. Ashiq , Samanyu Arora , Abhinav N. Harish , Ishaan Kharbanda , Hung Yun Tseng , Grigorios G. Chrysos

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

Diffuse Optical Tomography (DOT) is an emerging technology in medical imaging which employs light in the NIR spectrum to estimate the distribution of optical coefficients in biological tissues for diagnostic and monitoring purposes. DOT…

Numerical Analysis · Mathematics 2022-05-27 Alessandro Benfenati , Giuseppe Bisazza , Paola Causin

Optical flow has made great progress in clean scenes, while suffers degradation under adverse weather due to the violation of the brightness constancy and gradient continuity assumptions of optical flow. Typically, existing methods mainly…

Computer Vision and Pattern Recognition · Computer Science 2024-09-26 Hanyu Zhou , Yi Chang , Zhiwei Shi , Wending Yan , Gang Chen , Yonghong Tian , Luxin Yan

Diffusion-based image translation guided by semantic texts or a single target image has enabled flexible style transfer which is not limited to the specific domains. Unfortunately, due to the stochastic nature of diffusion models, it is…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Gihyun Kwon , Jong Chul Ye

We develop an analytical framework for understanding how the generated distribution evolves during diffusion model training. Leveraging a Gaussian-equivalence principle, we solve the full-batch gradient-flow dynamics of linear and…

Machine Learning · Computer Science 2026-04-07 Binxu Wang , Cengiz Pehlevan

Recent text-guided diffusion models provide powerful image generation capabilities. Currently, a massive effort is given to enable the modification of these images using text only as means to offer intuitive and versatile editing. To edit a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Ron Mokady , Amir Hertz , Kfir Aberman , Yael Pritch , Daniel Cohen-Or