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This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Fourier-based wavefront sensors, such as the Pyramid Wavefront Sensor (PWFS), are the current preference for high contrast imaging due to their high sensitivity. However, these wavefront sensors have intrinsic nonlinearities that constrain…

Instrumentation and Methods for Astrophysics · Physics 2020-05-22 Rico Landman , Sebastiaan Haffert

This paper proposes a novel neural network framework, denoted as spectral integrated neural networks (SINNs), for resolving three-dimensional forward and inverse dynamic problems. In the SINNs, the spectral integration method is applied to…

Numerical Analysis · Mathematics 2024-01-09 Lin Qiu , Fajie Wang , Wenzhen Qu , Yan Gu , Qing-Hua Qin

Fourier ptychography (FP) is a newly developed computational imaging approach that achieves both high resolution and wide field of view by stitching a series of low-resolution images captured under angle-varied illumination. So far, many…

Image and Video Processing · Electrical Eng. & Systems 2019-09-20 Yongbing Zhang , Yangzhe Liu , Xiu Li , Shaowei Jiang , Krishna Dixit , Xinfeng Zhang , Xiangyang Ji

Fourier neural operators (FNOs) provide a mesh-independent way to learn solution operators for partial differential equations, yet their efficacy for magnetized turbulence is largely unexplored. Here we train an FNO surrogate for the 2-D…

High Energy Astrophysical Phenomena · Physics 2025-07-03 Roberta Duarte , Rodrigo Nemmen , Reinaldo Santos-Lima

Unsupervised image registration commonly adopts U-Net style networks to predict dense displacement fields in the full-resolution spatial domain. For high-resolution volumetric image data, this process is however resource-intensive and…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Xi Jia , Joseph Bartlett , Wei Chen , Siyang Song , Tianyang Zhang , Xinxing Cheng , Wenqi Lu , Zhaowen Qiu , Jinming Duan

A physics-constrained neural network is presented for predicting the optical response of metasurfaces. Our approach incorporates physical laws directly into the neural network architecture and loss function, addressing critical challenges…

The great success of Deep Neural Networks (DNNs) has inspired the algorithmic development of DNN-based Fixed-Point (DNN-FP) for computer vision tasks. DNN-FP methods, trained by Back-Propagation Through Time or computing the inaccurate…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Peng Qiao , Sidun Liu , Tao Sun , Ke Yang , Yong Dou

We present a novel methodology of augmenting the scattering data measured by small angle neutron scattering via an emerging deep convolutional neural network (CNN) that is widely used in artificial intelligence (AI). Data collection time is…

Instrumentation and Detectors · Physics 2019-06-04 Ming-Ching Chang , Yi Wei , Wei-Ren Chen , Changwoo Do

Physics-informed neural networks (PINNs) offer a promising framework by embedding partial differential equations (PDEs) into the loss function together with measurement data, making them well-suited for inverse problems. However, standard…

Fluid Dynamics · Physics 2026-05-25 Kakeru Ueda , Hiro Wakimura , Satoshi Ii

The fusion of artificial intelligence (AI) with physics-guided frameworks has opened transformative avenues for advancing the design and optimization of electromagnetic and nanophotonic systems. Innovations in deep neural networks (DNNs)…

We consider solving complex spatiotemporal dynamical systems governed by partial differential equations (PDEs) using frequency domain-based discrete learning approaches, such as Fourier neural operators. Despite their widespread use for…

Machine Learning · Computer Science 2024-07-17 Qingsong Xu , Nils Thuerey , Yilei Shi , Jonathan Bamber , Chaojun Ouyang , Xiao Xiang Zhu

Lensless cameras based on thin diffusers offer a compact alternative to conventional refractive imaging but rely on computational reconstruction, since the diffuser's point spread function (PSF) globally multiplexes every scene point across…

Optics · Physics 2026-04-20 Kerem Ekec , Uğur Teğin

Recently, untrained neural networks (UNNs) have shown satisfactory performances for MR image reconstruction on random sampling trajectories without using additional full-sampled training data. However, the existing UNN-based approach does…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Zhuo-Xu Cui , Sen Jia , Qingyong Zhu , Congcong Liu , Zhilang Qiu , Yuanyuan Liu , Jing Cheng , Haifeng Wang , Yanjie Zhu , Dong Liang

Physics-informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics-informed neural network models suffer from several…

Computational Engineering, Finance, and Science · Computer Science 2022-11-29 Diab W. Abueidda , Seid Koric , Erman Guleryuz , Nahil A. Sobh

We describe a new method for imaging ultrafast dynamics in condensed matter using inelastic x-ray scattering (IXS). We use the concepts of causality and irreversibility to construct a general solution to the inverse scattering problem (or…

Other Condensed Matter · Physics 2009-06-12 P. Abbamonte , G. C. L. Wong , D. Cahill , J. P. Reed , R. H. Coridan , N. W. Schmidt , G. H. Lai , Y. I. Joe , D. Casa

Recently, deep neural networks (DNNs) have become powerful tools for solving inverse scattering problems. However, the approximation and generalization rates of DNNs for solving these problems remain largely under-explored. In this work, we…

Numerical Analysis · Mathematics 2025-02-03 Zehui Zhou

Coded aperture snapshot spectral imaging (CASSI) retrieves a 3D hyperspectral image (HSI) from a single 2D compressed measurement, which is a highly challenging reconstruction task. Recent deep unfolding networks (DUNs), empowered by…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Xiaodong Wang , Ping Wang , Zijun He , Mengjie Qin , Xin Yuan

Phase retrieval (PR), a long-established challenge for recovering a complex-valued signal from its Fourier intensity-only measurements, has attracted considerable attention due to its widespread applications in digital imaging. Recently,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-19 Qiuliang Ye , Li-Wen Wang , Daniel Pak-Kong Lun

Deep neural networks (DNNs) have been introduced for designing wireless policies by approximating the mappings from environmental parameters to solutions of optimization problems. Considering that labeled training samples are hard to…

Information Theory · Computer Science 2020-08-12 Chengjian Sun , Changyang She , Chenyang Yang
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