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Related papers: Modeling Terahertz Propagation via Frequency-Domai…

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In this paper, we present the adaptive physics-informed neural networks (PINNs) for resolving three dimensional (3D) dynamic thermo-mechanical coupling problems in large-size-ratio functionally graded materials (FGMs). The physical laws…

Computational Engineering, Finance, and Science · Computer Science 2023-06-16 Lin Qiu , Yanjie Wang , Tian He , Yan Gu , Fajie Wang

Spatiotemporal partial differential equations (PDEs) find extensive application across various scientific and engineering fields. While numerous models have emerged from both physics and machine learning (ML) communities, there is a growing…

Machine Learning · Computer Science 2024-08-21 Coşku Can Horuz , Matthias Karlbauer , Timothy Praditia , Sergey Oladyshkin , Wolfgang Nowak , Sebastian Otte

Multidimensional spectroscopy has a long history originating from nuclear magnetic resonance, and has now found widespread application at infrared and optical frequencies as well. However, the energy scales of traditional multidimensional…

Materials Science · Physics 2025-02-12 Albert Liu

Physics-informed neural networks (PINNs) have been increasingly employed due to their capability of modeling complex physics systems. To achieve better expressiveness, increasingly larger network sizes are required in many problems. This…

Machine Learning · Computer Science 2023-02-28 Ziyue Liu , Xinling Yu , Zheng Zhang

Physics-informed neural networks (PINNs) have demonstrated promise in solving forward and inverse problems involving partial differential equations. Despite recent progress on expanding the class of problems that can be tackled by PINNs,…

Machine Learning · Computer Science 2025-02-18 Francisco Sahli Costabal , Simone Pezzuto , Paris Perdikaris

Multiscale problems are challenging for neural network-based discretizations of differential equations, such as physics-informed neural networks (PINNs). This can be (partly) attributed to the so-called spectral bias of neural networks. To…

Numerical Analysis · Mathematics 2024-06-07 Alexander Heinlein , Amanda A. Howard , Damien Beecroft , Panos Stinis

Terahertz Time-Domain Spectroscopy is a powerful technique for extracting the low-frequency optical properties of materials. However, the optical constants are difficult to determine directly from the experimental transfer function, such…

Optics · Physics 2025-06-02 Kamyar Rashidi , Matthew Y. Sfeir

Physics-informed neural networks (PINNs) are a powerful approach for solving problems involving differential equations, yet they often struggle to solve problems with high frequency and/or multi-scale solutions. Finite basis…

Numerical Analysis · Mathematics 2024-06-21 Victorita Dolean , Alexander Heinlein , Siddhartha Mishra , Ben Moseley

In this study, we introduce a method based on Separable Physics-Informed Neural Networks (SPINNs) for effectively solving the BGK model of the Boltzmann equation. While the mesh-free nature of PINNs offers significant advantages in handling…

Numerical Analysis · Mathematics 2025-07-11 Jaemin Oh , Seung Yeon Cho , Seok-Bae Yun , Eunbyung Park , Youngjoon Hong

Physics-Informed Neural Networks (PINNs), which integrate deep learning with physical prior knowledge, have proven to be a powerful tool for studying the dynamics of high-dimensional nonlinear systems. The present work utilizes PINNs to…

Quantum Gases · Physics 2026-02-05 Dongshuai Liu , Boris A. Malomed , Wen Zhang

In various engineering and applied science applications, repetitive numerical simulations of partial differential equations (PDEs) for varying input parameters are often required (e.g., aircraft shape optimization over many design…

Machine Learning · Computer Science 2023-10-17 Woojin Cho , Kookjin Lee , Donsub Rim , Noseong Park

We propose the Physics-Informed Neural Network-driven Sparse Field Discretization method (PINN-SFD), a novel self-supervised, physics-informed deep learning approach for addressing the Near-Field Acoustic Holography (NAH) problem. Unlike…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-05 Xinmeng Luan , Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

Machine Learning · Computer Science 2025-07-15 Karishma Battina , Prathamesh Dinesh Joshi , Raj Abhijit Dandekar , Rajat Dandekar , Sreedath Panat

Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs) are a variant of PINNs that preserve the known differential…

Machine Learning · Computer Science 2026-04-21 William Lavery , Jodie A. Cochrane , Christian Olesen , Dagim S. Tadele , John T. Nardini , Sara Hamis

Terahertz (THz) integrated sensing and communication (ISAC) is a promising interdisciplinary technology that realizes simultaneously transmitting Terabit-per-second (Tbps) and millimeter-level accurate environment or human activity sensing.…

Signal Processing · Electrical Eng. & Systems 2023-02-28 Yongzhi Wu , Chong Han , Zhi Chen

Physics-informed neural networks (PINNs) have gained significant prominence as a powerful tool in the field of scientific computing and simulations. Their ability to seamlessly integrate physical principles into deep learning architectures…

Machine Learning · Computer Science 2024-04-05 Zakaria Elabid , Daniel Busby , Abdenour Hadid

A physics-informed neural network (PINN) that combines deep learning with physics is studied to solve the nonlinear Schr\"odinger equation for learning nonlinear dynamics in fiber optics. We carry out a systematic investigation and…

Optics · Physics 2021-09-03 Xiaotian Jiang , Danshi Wang , Qirui Fan , Min Zhang , Chao Lu , Alan Pak Tao Lau

Visualizing information inside objects is an ever-lasting need to bridge the world from physics, chemistry, biology to computation. Among all tomographic techniques, terahertz (THz) computational imaging has demonstrated its unique sensing…

Image and Video Processing · Electrical Eng. & Systems 2022-05-03 Weng-Tai Su , Yi-Chun Hung , Po-Jen Yu , Chia-Wen Lin , Shang-Hua Yang

From investigating molecular vibrations to observing galaxies, terahertz technology has found extensive applications in research and development over the past three decades. Terahertz time-domain spectroscopy and imaging have experienced…

Data Analysis, Statistics and Probability · Physics 2023-09-12 Jongmin Lee , Chi Ki Leung , Mingrui Ma , Jasper Ward-Berry , Supawan Santitewagun , J. Axel Zeitler

Improving diesel engine efficiency, reducing emissions, and enabling robust health monitoring have been critical research topics in engine modelling. While recent advancements in the use of neural networks for system monitoring have shown…

Machine Learning · Computer Science 2026-03-17 Kamaljyoti Nath , Varun Kumar , Daniel J. Smith , George Em Karniadakis