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The inverse problem in Acousto-Electric tomography concerns the reconstruction of the electric conductivity in a domain from knowledge of the power density function in the interior of the body. This interior power density results from…

Numerical Analysis · Mathematics 2020-01-09 Changyou Li , Mirza Karamehmedovic , Ekaterina Sherina , Kim Knudsen

Metalearning of deep neural network (DNN) architectures and hyperparameters has become an increasingly important area of research. At the same time, network regularization has been recognized as a crucial dimension to effective training of…

Neural and Evolutionary Computing · Computer Science 2021-07-22 Jason Liang , Santiago Gonzalez , Hormoz Shahrzad , Risto Miikkulainen

Electrocardiographic imaging aims to noninvasively reconstruct the electrical dynamic patterns on the heart surface from body-surface ECG measurements, aiding the mechanistic study of cardiac function. At the core of ECGI lies the inverse…

Signal Processing · Electrical Eng. & Systems 2026-04-10 Lingzhen Zhu , Kenneth Bilchick , Jianxin Xie

Sound field reconstruction refers to the problem of estimating the acoustic pressure field over an arbitrary region of space, using only a limited set of measurements. Physics-informed neural networks have been adopted to solve the problem…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-05 Stefano Damiano , Toon van Waterschoot

The aim of this paper is to propose a new approach for the pattern recognition of power quality (PQ) disturbances based on Empirical mode decomposition (EMD) and $k$ Nearest Neighbor ($k$-NN) classifier. Since EMD decomposes a signal into…

Signal Processing · Electrical Eng. & Systems 2019-08-16 Faeza Hafiz , Celia Shahnaz

The inverse problem of electrical impedance tomography is severely ill-posed, meaning that, only limited information about the conductivity can in practice be recovered from boundary measurements of electric current and voltage. Recently it…

Analysis of PDEs · Mathematics 2018-09-20 Henrik Garde , Stratos Staboulis

Machine learning methods have a long history of applications in high energy physics (HEP). Recently, there is a growing interest in exploiting these methods to reconstruct particle signatures from raw detector data. In order to benefit from…

High Energy Physics - Phenomenology · Physics 2022-03-17 Javier Duarte , Jean-Roch Vlimant

Equilibrium Propagation (EP) is a biologically-inspired algorithm for convergent RNNs with a local learning rule that comes with strong theoretical guarantees. The parameter updates of the neural network during the credit assignment phase…

Neural and Evolutionary Computing · Computer Science 2020-06-09 Axel Laborieux , Maxence Ernoult , Benjamin Scellier , Yoshua Bengio , Julie Grollier , Damien Querlioz

The inverse mechano-electrical problem in cardiac electrophysiology is the attempt to reconstruct electrical excitation or action potential wave patterns from the heart's mechanical deformation that occurs in response to electrical…

Image and Video Processing · Electrical Eng. & Systems 2021-11-10 Jan Christoph , Jan Lebert

In dual-energy computed tomography (DECT), the X-ray tube energy pair often changes depending on the target organ or patient obesity. In practice, it makes difficult to apply deep learning (DL) based algorithms for image reconstruction…

Medical Physics · Physics 2023-03-08 Donghyeon Lee , Uijin Jeong , Sungho Yun , Joonil Hwang , Seungryong Cho

Equilibrium Propagation (EP) is a biologically inspired learning algorithm for convergent recurrent neural networks, i.e. RNNs that are fed by a static input x and settle to a steady state. Training convergent RNNs consists in adjusting the…

Machine Learning · Computer Science 2019-06-03 Maxence Ernoult , Julie Grollier , Damien Querlioz , Yoshua Bengio , Benjamin Scellier

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

The free energy principle (FEP), as an encompassing framework and a unified brain theory, has been widely applied to account for various problems in fields such as cognitive science, neuroscience, social interaction, and hermeneutics. As a…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Jingwei Liu

Accurate determination of the electron energy probability function (EEPF) is vital for understanding electron kinetics and energy distributions in plasmas. However, interpreting Langmuir probe current-voltage (I-V) characteristics is often…

Plasma Physics · Physics 2025-04-01 June Young Kim

Backpropagation learning algorithm, the workhorse of modern artificial intelligence, is notoriously difficult to implement in physical neural networks. Equilibrium Propagation (EP) is an alternative with comparable efficiency and strong…

Machine Learning · Computer Science 2026-03-17 Karol Sajnok , Michał Matuszewski

This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from…

Analysis of PDEs · Mathematics 2012-03-07 Guillaume Bal , Gunther Uhlmann

Many new possibilities to observe and use novel physical effects are discovered at so called exceptional points (EPs). This is done by using parity-time (PT) -symmetric non-Hermitian systems and balancing gains and losses. When combined…

Applied Physics · Physics 2023-03-06 Jianlan Xie , Shaohua Dong , Bei Yan , Yuchen Peng , Jianjun Liu , Chengwei Qiu , Shuangchun Wen

Equilibrium Propagation (EP) is an algorithm intrinsically adapted to the training of physical networks, thanks to the local updates of weights given by the internal dynamics of the system. However, the construction of such a hardware…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Jérémie Laydevant , Maxence Ernoult , Damien Querlioz , Julie Grollier

Morphology of mitochondria plays critical roles in mediating their physiological functions. Accurate segmentation of mitochondria from 3D electron microscopy (EM) images is essential to quantitative characterization of their morphology at…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Yunpeng Xiao , Youpeng Zhao , Ge Yang

The Matrix-Element Method (MEM) has long been a cornerstone of data analysis in high-energy physics. It leverages theoretical knowledge of parton-level processes and symmetries to evaluate the likelihood of observed events. In parallel, the…

High Energy Physics - Phenomenology · Physics 2024-10-25 Daniel Maître , Vishal S. Ngairangbam , Michael Spannowsky