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Representation learning for high-dimensional, complex physical systems aims to identify a low-dimensional intrinsic latent space, which is crucial for reduced-order modeling and modal analysis. To overcome the well-known Kolmogorov barrier,…

Machine Learning · Computer Science 2025-11-07 Nithin Somasekharan , Shaowu Pan

A critical factor in adopting machine learning for time-sensitive financial tasks is computational speed, including model training and inference. This paper demonstrates that a broad class of such problems, especially those previously…

Computational Finance · Quantitative Finance 2025-05-27 Liexin Cheng , Xue Cheng , Shuaiqiang Liu

The real-time reconstruction of the plasma magnetic equilibrium in a Tokamak is a key point to access high performance regimes. Indeed, the shape of the plasma current density profile is a direct output of the reconstruction and has a…

Numerical Analysis · Mathematics 2016-11-27 Didier Mazon , Jacques Blum , Cédric Boulbe , Blaise Faugeras , A. Boboc , M. Brix , P. De Vries , S. Sharapov , L. Zabeo

Physics-informed neural networks (PINNs) have been proposed to learn the solution of partial differential equations (PDE). In PINNs, the residual form of the PDE of interest and its boundary conditions are lumped into a composite objective…

Computational Physics · Physics 2022-05-24 Shamsulhaq Basir , Inanc Senocak

In transmission X-ray microscopy (TXM) systems, the rotation of a scanned sample might be restricted to a limited angular range to avoid collision to other system parts or high attenuation at certain tilting angles. Image reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2020-01-09 Yixing Huang , Shengxiang Wang , Yong Guan , Andreas Maier

Physics-informed machine learning frameworks such as Physics-Informed Neural Networks (PINNs) and Physics-Informed Extreme Learning Machines (PI-ELMs) have shown great promise for solving partial differential equations (PDEs) but struggle…

Machine Learning · Computer Science 2025-11-25 Vikas Dwivedi , Balaji Srinivasan , Monica Sigovan , Bruno Sixou

Reliable confinement and stable performance of tokamak fusion plasmas require accurate real-time magnetic shape control. A promising route to reduced latency and increased flexibility in plasma control systems (PCS) is to emulate…

Plasma Physics · Physics 2026-04-02 K. Pentland , A. Ross , N. C. Amorisco , P. Cavestany , T. Nunn , A. Agnello , G. K. Holt , C. Vincent

The emergent behavior of quantum materials is governed by their electronic structure, which can be experimentally probed by photoemission spectroscopy techniques that generate a four-dimensional dataset of energy and momentum. However, the…

Strongly Correlated Electrons · Physics 2026-03-18 Yu Zhang , Yong Zhong , Nhat Huy Tran , Shuyi Li , Kyuho Lee , Yonghun Lee , Tiffany C. Wang , Harold Y. Hwang , Zhi-Xun Shen , Chunjing Jia

In magnetic confinement fusion research, the achievement of high plasma pressure is key to reaching the goal of net energy production. The magnetohydrodynamic (MHD) model is used to self-consistently calculate the effects the plasma…

Accurate prediction of laminar-turbulent transition is a critical element of computational fluid dynamics simulations for aerodynamic design across multiple flow regimes. Traditional methods of transition prediction cannot be easily…

Fluid Dynamics · Physics 2021-06-17 Muhammad I. Zafar , Meelan M. Choudhari , Pedro Paredes , Heng Xiao

Physical field reconstruction is highly desirable for the measurement and control of engineering systems. The reconstruction of the temperature field from limited observation plays a crucial role in thermal management for electronic…

Machine Learning · Computer Science 2022-01-27 Xingwen Peng , Xingchen Li , Zhiqiang Gong , Xiaoyu Zhao , Wen Yao

We investigate the physics-constrained training of an encoder-decoder neural network for approximating the Fokker-Planck-Landau collision operator in the 5-dimensional kinetic fusion simulation in XGC. To train this network, we propose a…

Computational Physics · Physics 2020-09-17 Alp Dener , Marco Andres Miller , Randy Michael Churchill , Todd Munson , Choong-Seock Chang

We propose a neural network-based algorithm for solving forward and inverse problems for partial differential equations in unsupervised fashion. The solution is approximated by a deep neural network which is the minimizer of a cost…

Machine Learning · Computer Science 2019-04-12 Leah Bar , Nir Sochen

In the present study, the capabilities of a new Convolutional Neural Network (CNN) model are explored with the paramount objective of reconstructing the temperature field of wall-bounded flows based on a limited set of measurement points…

Fluid Dynamics · Physics 2022-02-02 Victor Coppo Leite , Elia Merzari , Roberto Ponciroli , Lander Ibarra

Extreme learning machine (ELM) is a new single hidden layer feedback neural network. The weights of the input layer and the biases of neurons in hidden layer are randomly generated, the weights of the output layer can be analytically…

Machine Learning · Computer Science 2018-03-13 Lin Feng , Shuliang Xu , Feilong Wang , Shenglan Liu

Physics-Informed Neural Networks (PINNs) provide a powerful and general framework for solving Partial Differential Equations (PDEs) by embedding physical laws into loss functions. However, training PINNs is notoriously difficult due to the…

Machine Learning · Computer Science 2025-10-09 Kang An , Chenhao Si , Ming Yan , Shiqian Ma

The semiconductor industry faces a computational crisis in extreme ultraviolet (EUV) lithography optimization, where traditional methods consume billions of CPU hours while failing to achieve sub-nanometer precision. We present a…

Machine Learning · Computer Science 2025-11-18 Rubén Darío Guerrero

The aim of this paper is to introduce a Mapping-based Hard-constrained Physics-Informed Neural Network (MH-PINN) for efficiently and accurately solving unbounded wave problems. First, we propose a coordinate mapping technique that…

Numerical Analysis · Mathematics 2026-04-23 Tao Zhang , Hanshu Chen , Ilia Marchevsky , Zhuojia Fu

In this paper we propose a novel decomposition method based on filter group approximation, which can significantly reduce the redundancy of deep convolutional neural networks (CNNs) while maintaining the majority of feature representation.…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Bo Peng , Wenming Tan , Zheyang Li , Shun Zhang , Di Xie , Shiliang Pu

Online continual learning suffers from an underfitted solution due to insufficient training for prompt model update (e.g., single-epoch training). To address the challenge, we propose an efficient online continual learning method using the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Minhyuk Seo , Hyunseo Koh , Wonje Jeung , Minjae Lee , San Kim , Hankook Lee , Sungjun Cho , Sungik Choi , Hyunwoo Kim , Jonghyun Choi