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Arterial spin labeling (ASL) magnetic resonance imaging (MRI) enables cerebral perfusion measurement, which is crucial in detecting and managing neurological issues in infants born prematurely or after perinatal complications. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Christoforos Galazis , Ching-En Chiu , Tomoki Arichi , Anil A. Bharath , Marta Varela

This work addresses the scattering problem of an incident wave at a junction connecting two semi-infinite waveguides, which we intend to solve using Physics-Informed Neural Networks (PINNs). As with other deep learning-based approaches,…

Machine Learning · Computer Science 2024-04-16 W. Dörfler , M. Elasmi , T. Laufer

Nanoscale thermal transport is governed by the phonon Boltzmann transport equation (BTE). However, simulating the sub-continuum dynamics remains computationally prohibitive due to the high dimensionality of the phase space and the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Roberto Riganti , Luca Dal Negro

We present a head-related transfer function (HRTF) estimation method which relies on a data-driven prior given by a score-based diffusion model. The HRTF is estimated in reverberant environments using natural excitation signals, e.g. human…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-03 Etienne Thuillier , Jean-Marie Lemercier , Eloi Moliner , Timo Gerkmann , Vesa Välimäki

We propose a self-supervised physics-informed neural network (PINN) framework that adaptively balances physics-based and data-driven supervision for scientific machine learning under data scarcity. Unlike prior PINNs that rely on fixed or…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

Temperature field inversion of heat-source systems (TFI-HSS) with limited observations is essential to monitor the system health. Although some methods such as interpolation have been proposed to solve TFI-HSS, those existing methods ignore…

Machine Learning · Computer Science 2022-06-14 Xu Liu , Wei Peng , Zhiqiang Gong , Weien Zhou , Wen Yao

Data assimilation for parameter and state estimation in subsurface transport problems remains a significant challenge due to the sparsity of measurements, the heterogeneity of porous media, and the high computational cost of forward…

Machine Learning · Computer Science 2020-06-24 QiZhi He , David Brajas-Solano , Guzel Tartakovsky , Alexandre M. Tartakovsky

Physics-Informed Neural Networks (PINNs) have gained significant attention for their simplicity and flexibility in engineering and scientific computing. In this study, we introduce a normalized PINN (NPINN) framework to solve a class of…

Numerical Analysis · Mathematics 2025-03-11 Jichao Ma , Dandan Liu , Jinran Wu , Xi'an Li

Multi-channel speech enhancement utilizes spatial information from multiple microphones to extract the target speech. However, most existing methods do not explicitly model spatial cues, instead relying on implicit learning from…

Sound · Computer Science 2023-09-20 Jiahui Pan , Shulin He , Hui Zhang , Xueliang Zhang

Standard physics-informed neural networks (PINNs) struggle to simulate highly oscillatory Helmholtz solutions in heterogeneous media because pointwise minimization of second-order PDE residuals is computationally expensive, biased toward…

Machine Learning · Computer Science 2026-04-24 Mohammad Mahdi Abedi , David Pardo , Tariq Alkhalifah

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

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data. However, high-resolution and…

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant physical equations are known. We use PINNs to estimate smooth…

Numerical Analysis · Mathematics 2025-08-06 Moises Sierpe , Ernesto Castillo , Hernan Mella , Felipe Galarce

We present pseudo-differential enhanced physics-informed neural networks (PINNs), an extension of gradient enhancement but in Fourier space. Gradient enhancement of PINNs dictates that the PDE residual is taken to a higher differential…

Machine Learning · Computer Science 2026-05-06 Andrew Gracyk

Physics-Informed Neural Networks (PINNs) are mesh-free approaches for the numerical approximation of partial differential equations, where a neural network is trained by minimizing a loss function derived from the governing equations and…

Numerical Analysis · Mathematics 2026-04-03 Medard Govoeyi , Thomas Richter

Physics-informed neural networks (PINNs) have shown to be an effective tool for solving forward and inverse problems of partial differential equations (PDEs). PINNs embed the PDEs into the loss of the neural network, and this PDE loss is…

Computational Physics · Physics 2023-07-19 Chenxi Wu , Min Zhu , Qinyang Tan , Yadhu Kartha , Lu Lu

In this paper, we develop and employ auxiliary physics-informed neural networks (APINNs) to solve forward, inverse, and coupled integro-differential problems of radiative transfer theory (RTE). Specifically, by focusing on the relevant slab…

Disordered Systems and Neural Networks · Physics 2024-05-15 Roberto Riganti , Luca Dal Negro

We present a method, referred to as Deep Harmonic Finesse (DHF), for separation of non-stationary quasi-periodic signals when limited data is available. The problem frequently arises in wearable systems in which, a combination of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Mahya Saffarpour , Kourosh Vali , Weitai Qian , Begum Kasap , Herman L. Hedriana , Soheil Ghiasi

We propose an efficient and generalizable physics-informed neural network (PINN) framework for computing traveling wave solutions of $n$-dimensional reaction-diffusion equations with various reaction and diffusion coefficients. By applying…

Numerical Analysis · Mathematics 2026-03-17 Seungwan Han , Kwanghyuk Park , Jiaxi Gu , Jae-Hun Jung

Nuclear coherent population transfer (NCPT) offers numerous potential applications, particularly in next-generation nuclear clocks and nuclear batteries. However, the realization of high fidelity, fast operation, and low energy consumption…

Nuclear Theory · Physics 2026-03-25 Jing Liu , Fu-Quan Dou