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Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

Machine Learning · Computer Science 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

Physics-informed neural networks (PINNs) provide a promising framework for solving inverse problems governed by partial differential equations (PDEs) by integrating observational data and physical constraints in a unified optimization…

Machine Learning · Computer Science 2026-04-07 Yongsheng Chen , Yong Chen , Wei Guo , Xinghui Zhong

Inversion techniques applied to the radiative transfer equation for polarized light are capable of inferring the physical parameters in the solar atmosphere (temperature $T$, magnetic field ${\bf B}$, and line-of-sight velocity $v_{\rm…

Solar and Stellar Astrophysics · Physics 2021-04-07 J. M. Borrero , A. Pastor Yabar , B. Ruiz Cobo

Physics Informed Neural Networks (PINNs) are shown to be a promising method for the approximation of Partial Differential Equations (PDEs). PINNs approximate the PDE solution by minimizing physics-based loss functions over a given domain.…

Numerical Analysis · Mathematics 2022-09-13 Shoaib Goraya , Nahil Sobh , Arif Masud

Phonon Boltzmann transport equation (BTE) is a key tool for modeling multiscale phonon transport, which is critical to the thermal management of miniaturized integrated circuits, but assumptions about the system temperatures (i.e., small…

Computational Physics · Physics 2022-01-14 Ruiyang Li , Jian-Xun Wang , Eungkyu Lee , Tengfei Luo

Efficient thermal and power management in modern multiprocessor systems-on-chip (MPSoCs) demands accurate power consumption estimation. One of the state-of-the-art approaches, Alternative Blind Power Identification (ABPI), theoretically…

Performance · Computer Science 2025-05-29 Mohamed R. Elshamy , Mehdi Elahi , Ahmad Patooghy , Abdel-Hameed A. Badawy

In this paper, a data-driven position-aided approach is proposed to reduce the training overhead in MIMO systems, by leveraging side information and on-the-field measurements. A data tensor is constructed by collecting beam-training…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Tzu-Hsuan Chou , Nicolo Michelusi , David J. Love , James V. Krogmeier

Land surface temperature (LST) retrieval from remote sensing data is pivotal for analyzing climate processes and surface energy budgets. However, LST retrieval is an ill-posed inverse problem, which becomes particularly severe when only a…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Tian Xie , Menghui Jiang , Huanfeng Shen , Huifang Li , Chao Zeng , Jun Ma , Guanhao Zhang , Liangpei Zhang

System-level condition monitoring methods estimate the electrical parameters of multiple components in a converter to assess their health status. The estimation accuracy and variation can differ significantly across parameters. For…

Signal Processing · Electrical Eng. & Systems 2025-04-30 Shuyu Ou , Subham Sahoo , Ariya Sangwongwanich , Frede Blaabjerg , Mahyar Hassanifar , Martin Votava , Marius Langwasser , Marco Liserre

Physics informed neural networks (PINNs) have drawn attention in recent years in engineering problems due to their effectiveness and ability to tackle the problems without generating complex meshes. PINNs use automatic differentiation to…

Fluid Dynamics · Physics 2022-06-20 Atakan Aygun , Ali Karakus

Hamiltonian learning (HL), enabling precise estimation of system parameters and underlying dynamics, plays a critical role in characterizing quantum systems. However, conventional HL methods face challenges in noise robustness and resource…

Quantum Physics · Physics 2025-11-07 Jie Liu , Xin Wang

We present a physics-informed neural network (PINN) approach for the discovery of slow invariant manifolds (SIMs), for the most general class of fast/slow dynamical systems of ODEs. In contrast to other machine learning (ML) approaches that…

Numerical Analysis · Mathematics 2025-06-24 Dimitrios G. Patsatzis , Lucia Russo , Constantinos Siettos

Boltzmann transport equation (BTE) is an ideal tool to describe the multiscale phonon transport phenomena, which are critical to applications like microelectronics cooling. Numerically solving phonon BTE is extremely computationally…

Computational Physics · Physics 2021-03-18 Ruiyang Li , Eungkyu Lee , Tengfei Luo

We introduce an optimized physics-informed neural network (PINN) trained to solve the problem of identifying and characterizing a surface breaking crack in a metal plate. PINNs are neural networks that can combine data and physics in the…

Machine Learning · Computer Science 2020-05-09 Khemraj Shukla , Patricio Clark Di Leoni , James Blackshire , Daniel Sparkman , George Em Karniadakis

Physics-informed neural networks (PINNs) have emerged as a powerful tool for solving inverse problems, especially in cases where no complete information about the system is known and scatter measurements are available. This is especially…

Computational Engineering, Finance, and Science · Computer Science 2023-08-03 Jeremias Garay , Jocelyn Dunstan , Sergio Uribe , Francisco Sahli Costabal

Reconstructing continuous physical fields from sparse, irregular observations is a central challenge in scientific machine learning, particularly for systems governed by partial differential equations (PDEs). Existing physics-informed…

Machine Learning · Computer Science 2026-03-31 Ehsan Zeraatkar , Rodion Podorozhny , Jelena Tešić

We introduce MVPinn, a Physics-Informed Neural Network (PINN) approach tailored for solving the Milne-Eddington (ME) inversion problem, specifically applied to spectropolarimetric observations from the Big Bear Solar Observatory's…

Solar and Stellar Astrophysics · Physics 2025-07-15 Qin Li , Bo Shen , Haodi Jiang , Vasyl B. Yurchyshyn , Taylor Baildon , Kangwoo Yi , Wenda Cao , Haimin Wang

A finite-element method dependant adjoint-based procedure to determine the temperature field of structures based on measured displacements or strains and a set of standard loads is developed and tested. Given a series of force and…

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

Numerical Analysis · Mathematics 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

Physics informed neural networks (PINNs) have recently been proposed as surrogate models for solving process optimization problems. However, in an active learning setting collecting enough data for reliably training PINNs poses a challenge.…

Systems and Control · Electrical Eng. & Systems 2024-02-22 Liqiu Dong , Marta Zagorowska , Tong Liu , Alex Durkin , Mehmet Mercangöz
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