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We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

Analysis of PDEs · Mathematics 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

While neural networks have made significant strides in many AI tasks, they remain vulnerable to a range of noise types, including natural corruptions, adversarial noise, and low-resolution artifacts. Many existing approaches focus on…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Zhiling Zhou , Zirui Liu , Chengming Xu , Yanwei Fu , Xinwei Sun

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

Computational imaging through scatter generally is accomplished by first characterizing the scattering medium so that its forward operator is obtained; and then imposing additional priors in the form of regularizers on the reconstruction…

Optics · Physics 2017-11-21 Shuai Li , Mo Deng , Justin Lee , Ayan Sinha , George Barbastathis

Time-frequency analysis is an important and challenging task in many applications. Fourier and wavelet analysis are two classic methods that have achieved remarkable success in many fields. However, they also exhibit limitations when…

Machine Learning · Computer Science 2024-10-25 Feng Zhou , Antonio Cicone , Haomin Zhou

We introduce an end-to-end deep learning architecture called the wide-band butterfly network (WideBNet) for approximating the inverse scattering map from wide-band scattering data. This architecture incorporates tools from computational…

Machine Learning · Computer Science 2021-11-01 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

Consistency of the predictions with respect to the physical forward model is pivotal for reliably solving inverse problems. This consistency is mostly un-controlled in the current end-to-end deep learning methodologies proposed for the…

Image and Video Processing · Electrical Eng. & Systems 2020-07-07 Dongdong Chen , Mike E. Davies , Mohammad Golbabaee

This study presents a deep learning based methodology for both remote sensing and design of acoustic scatterers. The ability to determine the shape of a scatterer, either in the context of material design or sensing, plays a critical role…

Computational Physics · Physics 2023-06-30 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

In open data sets of functional magnetic resonance imaging (fMRI), the heterogeneity of the data is typically attributed to a combination of factors, including differences in scanning procedures, the presence of confounding effects, and…

Machine Learning · Computer Science 2026-04-17 Xin Wen , Shijie Guo , Wenbo Ning , Rui Cao , Yan Niu , Bin Wan , Peng Wei , Xiaobo Liu , Jie Xiang

The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a local uniqueness result. Moreover, we introduce a direct sampling method for quantitatively…

Numerical Analysis · Mathematics 2026-04-29 Yukun Guo , Xiaodong Liu

To improve the compressive sensing MRI (CS-MRI) approaches in terms of fine structure loss under high acceleration factors, we have proposed an iterative feature refinement model (IFR-CS), equipped with fixed transforms, to restore the…

Machine Learning · Computer Science 2019-09-26 Yiling Liu , Qiegen Liu , Minghui Zhang , Qingxin Yang , Shanshan Wang , Dong Liang

Designing high-performance substrate-integrated waveguide (SIW) filters with both closely spaced and widely separated resonances is challenging. Consequently, there is a growing need for robust methods that reduce reliance on time-consuming…

Machine Learning · Computer Science 2025-10-21 Mohammad Mashayekhi , Kamran Salehian , Abbas Ozgoli , Saeed Abdollahi , Abdolali Abdipour , Ahmed A. Kishk

We propose a general physics-based deep learning architecture for wave-based imaging problems. A key difficulty in imaging problems with a varying background wave speed is that the medium "bends" the waves differently depending on their…

Image and Video Processing · Electrical Eng. & Systems 2020-11-11 Konik Kothari , Maarten de Hoop , Ivan Dokmanić

We address the problem of decomposing an image into albedo and shading. We propose the Fast Fourier Intrinsic Network, FFI-Net in short, that operates in the spectral domain, splitting the input into several spectral bands. Weights in…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yanlin Qian , Miaojing Shi , Joni-Kristian Kämäräinen , Jiri Matas

We consider the inverse elastic scattering problems using the far field data due to one incident plane wave. A simple method is proposed to reconstruct the location and size of the obstacle using different components of the far field…

Analysis of PDEs · Mathematics 2019-04-09 J Liu , X. Liu , J. Sun

Increasing concerns on intelligent spectrum sensing call for efficient training and inference technologies. In this paper, we propose a novel federated learning (FL) framework, dubbed federated spectrum learning (FSL), which exploits the…

Networking and Internet Architecture · Computer Science 2022-05-24 Bo Yang , Xuelin Cao , Chongwen Huang , Chau Yuen , Marco Di Renzo , Yong Liang Guan , Dusit Niyato , Lijun Qian , Merouane Debbah

Rayleigh wave dispersion curves have been widely used in near-surface studies, and are primarily inverted for the shear wave (S-wave) velocity profiles. However, the inverse problem is ill-posed, non-unique and nonlinear. Here, we introduce…

Geophysics · Physics 2023-10-24 Rohan Sharma , Divakar Vashisth , Bharath Shekar

Benefiting from a relatively larger aperture's angle, and in combination with a wide transmitting bandwidth, near-field synthetic aperture radar (SAR) provides a high-resolution image of a target's scattering distribution-hot spots.…

Image and Video Processing · Electrical Eng. & Systems 2022-11-29 Xu Zhan , Xiaoling Zhang , Wensi Zhang , Jun Shi , Shunjun Wei , Tianjiao Zeng

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for solving inverse electromagnetic source scattering problems with multi-frequency sparse phased or phaseless far field data. With the phased data,…

Analysis of PDEs · Mathematics 2019-06-07 Xia Ji , Xiaodong Liu

This research addresses the challenge of developing a universal deepfake detector that can effectively identify unseen deepfake images despite limited training data. Existing frequency-based paradigms have relied on frequency-level…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Chuangchuang Tan , Yao Zhao , Shikui Wei , Guanghua Gu , Ping Liu , Yunchao Wei
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