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Photoplethysmography (PPG) is a widely used non-invasive physiological sensing technique, suitable for various clinical applications. Such clinical applications are increasingly supported by machine learning methods, raising the question of…

In this paper we employ the emerging paradigm of physics-informed neural networks (PINNs) for the solution of representative inverse scattering problems in photonic metamaterials and nano-optics technologies. In particular, we successfully…

计算物理 · 物理学 2020-04-22 Yuyao Chen , Lu Lu , George Em Karniadakis , Luca Dal Negro

Accurate reconstruction of magnetic fields in inaccessible regions is vital for many high-precision experiments in physics. Traditional methods, such as spherical harmonic expansion, often suffer from truncation errors that limit their…

仪器与探测器 · 物理学 2026-05-26 Haohan Yu , Zhanxu Hao , Bingzhi Li , Zejia Lu , Xiang Chen , Liang Li

We propose physics-informed holomorphic neural networks (PIHNNs) as a method to solve boundary value problems where the solution can be represented via holomorphic functions. Specifically, we consider the case of plane linear elasticity…

计算工程、金融与科学 · 计算机科学 2024-09-30 Matteo Calafà , Emil Hovad , Allan P. Engsig-Karup , Tito Andriollo

Physics-informed neural networks have shown significant potential in solving partial differential equations (PDEs) across diverse scientific fields. However, their performance often deteriorates when addressing PDEs with intricate and…

机器学习 · 计算机科学 2025-02-18 Nanxi Chen , Chuanjie Cui , Rujin Ma , Airong Chen , Sifan Wang

Physics-informed Neural Networks (PINNs) have been shown to be effective in solving partial differential equations by capturing the physics induced constraints as a part of the training loss function. This paper shows that a PINN can be…

机器学习 · 计算机科学 2023-05-08 Chandrajit Bajaj , Luke McLennan , Timothy Andeen , Avik Roy

Physics-informed neural networks (PINNs) have attracted a lot of attention in scientific computing as their functional representation of partial differential equation (PDE) solutions offers flexibility and accuracy features. However, their…

机器学习 · 计算机科学 2024-01-17 Xinquan Huang , Tariq Alkhalifah

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

机器学习 · 计算机科学 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li

Physics-informed neural networks (PINNs), owing to their mesh-free nature, offer a powerful approach for solving high-dimensional partial differential equations (PDEs) in complex geometries, including irregular domains. This capability…

数值分析 · 数学 2025-06-06 Hanfei Zhou , Lei Shi

Physics-informed neural networks (PINNs) have plateaued at errors of $10^{-3}$-$10^{-4}$ for fourth-order partial differential equations, creating a perceived precision ceiling that limits their adoption in engineering applications. We…

机器学习 · 计算机科学 2025-07-29 Wei Shan Lee , Chi Kiu Althina Chau , Kei Chon Sio , Kam Ian Leong

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

流体动力学 · 物理学 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

We present a Physics-Informed Neural Network (PINN) framework for reconstructing the redshift-dependent Hubble parameter \(H(z)\) within the Tsallis Holographic Dark Energy (THDE) model extended by massive neutrinos. In this approach, the…

宇宙学与河外天体物理 · 物理学 2025-11-14 Muhammad Yarahmadi , Amin Salehi

Ultrafast optics is driven by a myriad of complex nonlinear dynamics. The ubiquitous presence of governing equations in the form of partial integro-differential equations (PIDE) necessitates the need for advanced computational tools to…

光学 · 物理学 2024-10-23 Jonathan Musgrave , Shu-Wei Huang

Holographic near-eye displays offer unprecedented capabilities for virtual and augmented reality systems, including perceptually important focus cues. Although artificial intelligence--driven algorithms for computer-generated holography…

图形学 · 计算机科学 2022-05-06 Suyeon Choi , Manu Gopakumar , Yifan , Peng , Jonghyun Kim , Matthew O'Toole , Gordon Wetzstein

Accurate estimation of Remaining Useful Life (RUL) and State of Health (SOH) is essential for Prognostics and Health Management (PHM) across a wide range of industrial applications. We propose a novel framework -- Reinforced Graph-Based…

机器学习 · 计算机科学 2025-07-15 Mohamadreza Akbari Pour , Ali Ghasemzadeh , MohamadAli Bijarchi , Mohammad Behshad Shafii

Physics-informed neural networks (PINNs) have emerged as a promising numerical method based on deep learning for modeling boundary value problems, showcasing promising results in various fields. In this work, we use PINNs to discretize…

计算物理 · 物理学 2024-06-10 Michel Nohra , Steven Dufour

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…

数值分析 · 数学 2026-04-23 Tao Zhang , Hanshu Chen , Ilia Marchevsky , Zhuojia Fu

Physics-Informed Neural Network (PINN) has proven itself a powerful tool to obtain the numerical solutions of nonlinear partial differential equations (PDEs) leveraging the expressivity of deep neural networks and the computing power of…

数值分析 · 数学 2023-06-12 Yanlai Chen , Shawn Koohy

Physics-informed neural networks (PINNs) are an influential method of solving differential equations and estimating their parameters given data. However, since they make use of neural networks, they provide only a point estimate of…

机器学习 · 计算机科学 2024-05-15 Lena Podina , Mahdi Torabi Rad , Mohammad Kohandel

Computer-generated hologram (CGH) allows for the on-demand scaling and projection of artificially designed target patterns, while incorporating benefits such as a lensless setup and high-frame-rate operation. In this work, we actively…

光学 · 物理学 2026-03-09 Liming Li , Zhenguo Zhao , Gongxiang Wei , Wenfei Zhang , Huiqiang Liu