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Nonreciprocal structures play an important role in optical physics and applications. Conventional approaches for designing nonreciprocal optical structures rely heavily on extensive numerical simulation and parameter tuning, leading to high…

Optics · Physics 2026-03-12 Weiran Zhang , Hao Pan , Shubo Wang

Solving Partial Differential Equations (PDEs) is the core of many fields of science and engineering. While classical approaches are often prohibitively slow, machine learning models often fail to incorporate complete system information.…

Machine Learning · Computer Science 2024-02-13 Cooper Lorsung , Zijie Li , Amir Barati Farimani

Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

Machine Learning · Computer Science 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

We introduce Effective Field Neural Networks (EFNNs), a new architecture based on continued functions -- mathematical tools used in renormalization to handle divergent perturbative series. Our key insight is that neural networks can…

Computational Physics · Physics 2026-03-19 Xi Liu , Yujun Zhao , Chun Yu Wan , Yang Zhang , Junwei Liu

Regularization methods using prior knowledge are essential in solving ill-posed inverse problems such as Electrical Impedance Tomography (EIT). However, designing effective regularization and integrating prior information into EIT remains…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Dong Liu , Yuanchao Wu , Bowen Tong , Jiansong Deng

Multi-frequency Electrical Impedance Tomography (mfEIT) is an emerging biomedical imaging modality to reveal frequency-dependent conductivity distributions in biomedical applications. Conventional model-based image reconstruction methods…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Zhou Chen , Jinxi Xiang , Pierre Bagnaninchi , Yunjie Yang

A Transformer-based deep direct sampling method is proposed for electrical impedance tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A real-time reconstruction is achieved by evaluating the learned…

Machine Learning · Computer Science 2023-03-07 Ruchi Guo , Shuhao Cao , Long Chen

In Electrical Impedance Tomography (EIT), the internal conductivity of a body is recovered via current and voltage measurements taken at its surface. The reconstruction task is a highly ill-posed nonlinear inverse problem, which is very…

Numerical Analysis · Mathematics 2018-03-28 Sarah Hamilton , Andreas Hauptmann , Samuli Siltanen

The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated scattering data in the non-linear Fourier domain to solve…

Numerical Analysis · Mathematics 2025-02-10 Xiang Cao , Qiaoqiao Ding , Xiaoqun Zhang

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

Machine Learning · Computer Science 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

Deep learning has shown the great power in the field of fault detection. However, for incipient faults with tiny amplitude, the detection performance of the current deep learning networks (DLNs) is not satisfactory. Even if prior…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Mingxuan Gao , Min Wang , Maoyin Chen

Electrical impedance tomography (EIT) has been successfully applied to several important application domains such as medicine, geophysics and industrial imaging. EIT offers a high temporal resolution, which allows to track the location of a…

Signal Processing · Electrical Eng. & Systems 2019-11-13 Timo Huuhtanen , Antti Lankinen , Alexander Jung

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

The recent years have seen a surge of interest in methods for imaging beyond the direct line of sight. The most prominent techniques rely on time-resolved optical impulse responses, obtained by illuminating a diffuse wall with an ultrashort…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Javier Grau Chopite , Matthias B. Hullin , Michael Wand , Julian Iseringhausen

Graph neural networks excel at modeling pairwise interactions, but they cannot flexibly accommodate higher-order interactions and features. Topological deep learning (TDL) has emerged recently as a promising tool for addressing this issue.…

Machine Learning · Computer Science 2025-02-07 Claudio Battiloro , Ege Karaismailoğlu , Mauricio Tec , George Dasoulas , Michelle Audirac , Francesca Dominici

Nonadiabatic effects in chemical reaction at metal surfaces, due to excitation of electron-hole pairs, stand at the frontier of the studies of gas-surface reaction dynamics. However, the first principles description of electronic excitation…

Chemical Physics · Physics 2019-12-20 Yaolong Zhang , Reinhard J. Maurer , Bin Jiang

Electrical Impedance Tomography (EIT) is a powerful tool for non-destructive evaluation, state estimation, and process tomography - among numerous other use cases. For these applications, and in order to reliably reconstruct images of a…

Signal Processing · Electrical Eng. & Systems 2020-01-31 Danny Smyl , Dong Liu

Eddy current testing (ECT) is one of the most popular Nondestructive Testing (NDT) techniques, especially for conductive materials. Reconstructing the crack profile from measured EC signals is one of the main goals of ECT. This task is…

Image and Video Processing · Electrical Eng. & Systems 2019-10-29 Shaohua Li , Ayesha Anees , Yu Zhong , Zaifeng Yang , Yong Liu , Rick Siow Mong Goh , En-Xiao Liu

We propose Physics-Informed Fourier Networks for Electrical Properties (EP) Tomography (PIFON-EPT), a novel deep learning-based method for EP reconstruction using noisy and/or incomplete magnetic resonance (MR) measurements. Our approach…

Enabling dexterous manipulation and safe human-robot interaction, soft robots are widely used in numerous surgical applications. One of the complications associated with using soft robots in surgical applications is reconstructing their…

Robotics · Computer Science 2023-04-26 Amirhosein Alian , George Mylonas , James Avery