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High-resolution optical microscopy has transformed biological imaging, yet its resolution and contrast deteriorate with depth due to multiple light scattering. Conventional correction strategies typically approximate the medium as one or a…

We propose an end-to-end deep learning framework that comprehensively solves the inverse wave scattering problem across all length scales. Our framework consists of the newly introduced wide-band butterfly network coupled with a simple…

Numerical Analysis · Mathematics 2021-06-03 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

Compressed Sensing Magnetic Resonance Imaging (CS-MRI) significantly accelerates MR data acquisition at a sampling rate much lower than the Nyquist criterion. A major challenge for CS-MRI lies in solving the severely ill-posed inverse…

Image and Video Processing · Electrical Eng. & Systems 2019-10-30 Risheng Liu , Yuxi Zhang , Shichao Cheng , Zhongxuan Luo , Xin Fan

A physics assisted deep learning framework to perform accurate indoor imaging using phaseless Wi-Fi measurements is proposed. It is able to image objects that are large (compared to wavelength) and have high permittivity values, that…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Samruddhi Deshmukh , Amartansh Dubey , Dingfei Ma , Qifeng Chen , Ross Murch

Clusters of wave-scattering oscillators offer the ability to passively control wave energy in elastic continua. However, designing such clusters to achieve a desired wave energy pattern is a highly nontrivial task. While the forward…

Signal Processing · Electrical Eng. & Systems 2024-02-29 Joshua R. Tempelman , Tobias Weidemann , Eric B. Flynn , Kathryn H. Matlack , Alexander F. Vakakis

Microstructural materials design is one of the most important applications of inverse modeling in materials science. Generally speaking, there are two broad modeling paradigms in scientific applications: forward and inverse. While the…

Machine Learning · Computer Science 2021-01-27 Zijiang Yang , Dipendra Jha , Arindam Paul , Wei-keng Liao , Alok Choudhary , Ankit Agrawal

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

Many successful machine learning methods have been developed for microwave inversion problems. However, so far, their inversion has been performed only at the specifically trained frequencies. To make the machine-learning-based inversion…

Computational Physics · Physics 2023-08-07 Hao-Jie Hu , Jiawen Li , Li-Ye Xiao , Yu Cheng , Qing Huo Liu

This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks, directly through an indicator function…

Mathematical Physics · Physics 2012-12-27 Jingzhi Li , Jun Zou

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects…

Signal Processing · Electrical Eng. & Systems 2020-12-17 Ajinkya Kadu , Hassan Mansour , Petros T. Boufounos

Practical applications of microwave imaging often require the solution of inverse scattering problems with inhomogeneous backgrounds. Towards this end, a novel inversion strategy, which combines the multi-scaling (MS) regularization scheme…

Signal Processing · Electrical Eng. & Systems 2024-01-08 Yu Zhong , Francesco Zardi , Marco Salucci , Giacomo Oliveri , Andrea Massa

Joint source-channel coding schemes based on deep neural networks (DeepJSCC) have recently achieved remarkable performance for wireless image transmission. However, these methods usually focus only on the distortion of the reconstructed…

Image and Video Processing · Electrical Eng. & Systems 2023-10-03 Jiakang Chen , Di You , Deniz Gündüz , Pier Luigi Dragotti

Multi-contrast magnetic resonance imaging (MRI) is the most common management tool used to characterize neurological disorders based on brain tissue contrasts. However, acquiring high-resolution MRI scans is time-consuming and infeasible…

Image and Video Processing · Electrical Eng. & Systems 2023-06-08 Ye Mao , Lan Jiang , Xi Chen , Chao Li

Nonlinear electromagnetic (EM) inverse scattering is a quantitative and super-resolution imaging technique, in which more realistic interactions between the internal structure of scene and EM wavefield are taken into account in the imaging…

Information Retrieval · Computer Science 2019-05-01 Lianlin Li , Long Gang Wang , Fernando L. Teixeira , Che Liu , Arye Nehora , Tie Jun Cui

Deep neural networks have been applied successfully to a wide variety of inverse problems arising in computational imaging. These networks are typically trained using a forward model that describes the measurement process to be inverted,…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Davis Gilton , Gregory Ongie , Rebecca Willett

With the rapid development of diffusion models and flow-based generative models, there has been a surge of interests in solving noisy linear inverse problems, e.g., super-resolution, deblurring, denoising, colorization, etc, with generative…

Machine Learning · Computer Science 2024-10-22 Xiangming Meng , Yoshiyuki Kabashima

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…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Asad Aali , Giannis Daras , Brett Levac , Sidharth Kumar , Alexandros G. Dimakis , Jonathan I. Tamir

Diffusion models are powerful tools for sampling from high-dimensional distributions by progressively transforming pure noise into structured data through a denoising process. When equipped with a guidance mechanism, these models can also…

Machine Learning · Computer Science 2026-05-04 Saeed Mohseni-Sehdeh , Walid Saad , Kei Sakaguchi , Tao Yu

This is Part II of the paper series on data-compatible T-matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series contains theory and here we present simulations for inverse scattering of…

Mathematical Physics · Physics 2016-11-02 Howard W. Levinson , Vadim A. Markel