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The problem of inpainting involves reconstructing the missing areas of an image. Inpainting has many applications, such as reconstructing old damaged photographs or removing obfuscations from images. In this paper we present the directional…

Computer Vision and Pattern Recognition · Computer Science 2015-11-12 Jan Deriu , Rolf Jagerman , Kai-En Tsay

This paper provides indoor reflection, scattering, transmission, and large-scale path loss measurements and models, which describe the main propagation mechanisms at millimeter wave and Terahertz frequencies. Channel properties for common…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Yunchou Xing , Ojas Kanhere , Shihao Ju , Theodore S. Rappaport

Score-based diffusion models learn to reverse a stochastic differential equation that maps data to noise. However, for complex tasks, numerical error can compound and result in highly unnatural samples. Previous work mitigates this drift…

Machine Learning · Statistics 2023-06-12 Aaron Lou , Stefano Ermon

Diffusion-based inpainting can reconstruct missing image areas with high quality from sparse data, provided that their location and their values are well optimised. This is particularly useful for applications such as image compression,…

Image and Video Processing · Electrical Eng. & Systems 2023-03-24 Pascal Peter , Karl Schrader , Tobias Alt , Joachim Weickert

In applications such as free-space optical communication, a signal is often recovered after propagation through a turbulent medium. In this setting, it is common to assume that limited information is known about the turbulent medium, such…

Optics · Physics 2025-10-13 Anjali Nair , Qin Li , Samuel N. Stechmann

Optoacoustic tomography image reconstruction has been a problem of interest in recent years. By exploiting the exceptional generative power of the recently proposed diffusion models we consider a scheme which is based on a conditional…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Martin G. Gonzalez , Matias Vera , Leonardo Rey Vega

In particle-laden flows through porous media, porosity and permeability are significantly affected by the deposition and erosion of particles. Experiments show that the permeability evolution of a porous medium with respect to a particle…

Fluid Dynamics · Physics 2018-01-17 Filippo Bianchi , Falk K. Wittel , Marcel Thielmann , Pavel Trtik , Hans J. Herrmann

Diffusion models are state-of-the-art generative models on data modalities such as images, audio, proteins and materials. These modalities share the property of exponentially decaying variance and magnitude in the Fourier domain. Under the…

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

We consider one-dimensional inverse scattering in attenuating media where both the reflectivity and loss distributions are unknown. Mathematically, this corresponds to recovering the coefficients of a damped wave operator, or equivalently,…

Numerical Analysis · Mathematics 2025-11-20 Jorn Zimmerling , Mikhail Zaslavsky , Alexander V. Mamonov , Vladimir Druskin , Anarzhan Abilgazy

In this work, we address the limitations of denoising diffusion models (DDMs) in image restoration tasks, particularly the shape and color distortions that can compromise image quality. While DDMs have demonstrated a promising performance…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Xinlong Cheng , Tiantian Cao , Guoan Cheng , Bangxuan Huang , Xinghan Tian , Ye Wang , Xiaoyu He , Weixin Li , Tianfan Xue , Xuan Dong

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties…

Analysis of PDEs · Mathematics 2017-06-15 Jingzhi Li , Xiaofei Li , Hongyu Liu

This paper aims to recover object materials from posed images captured under an unknown static lighting condition. Recent methods solve this task by optimizing material parameters through differentiable physically based rendering. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-24 Xi Chen , Sida Peng , Dongchen Yang , Yuan Liu , Bowen Pan , Chengfei Lv , Xiaowei Zhou

Standard diffusion models (DMs) rely on the total destruction of data into non-informative white noise, forcing the backward process to denoise from a fully unstructured noise state. While ensuring diversity, this results in a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Baohua Yan , Jennifer Kava , Qingyuan Liu , Xuan Di

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Diffraction microtomography in coherent light is foreseen as a promising technique to image transparent living samples in three dimensions without staining. Contrary to conventional microscopy with incoherent light, which gives…

Optics · Physics 2009-11-13 Stanislas Vertu , Jean-Jacques Delaunay , Olivier Haeberle

The impact of surface reflection upon transmission through and energy distributions within random media has generally been described in terms of the boundary extrapolation lengths $z_b, z_b'$ at the input and output end of an open sample,…

Disordered Systems and Neural Networks · Physics 2017-08-02 Xiaojun Cheng , Chushun Tian , Zachary Lowell , Liyi Zhao , Azriel Z. Genack

Video editing and generation methods often rely on pre-trained image-based diffusion models. During the diffusion process, however, the reliance on rudimentary noise sampling techniques that do not preserve correlations present in…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Pascal Chang , Jingwei Tang , Markus Gross , Vinicius C. Azevedo

A central result that arose in applying information theory to the stochastic thermodynamics of nonlinear dynamical systems is the Information-Processing Second Law (IPSL): the physical entropy of the universe can decrease if compensated by…

Statistical Mechanics · Physics 2017-06-07 Alexander B. Boyd , Dibyendu Mandal , Paul M. Riechers , James P. Crutchfield
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