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Physics-informed neural networks (PINNs) are an emerging technique to solve partial differential equations (PDEs). In this work, we propose a simple but effective PINN approach for the phase-field model of ferroelectric microstructure…

材料科学 · 物理学 2024-09-06 Lan Shang , Sizheng Zheng , Jin Wang , Jie Wang

In recent years, scientific machine learning, particularly physic-informed neural networks (PINNs), has introduced new innovative methods to understanding the differential equations that describe power system dynamics, providing a more…

系统与控制 · 电气工程与系统科学 2024-03-12 Huynh T. T. Tran , Hieu T. Nguyen

We propose a physics-informed Echo State Network (ESN) to predict the evolution of chaotic systems. Compared to conventional ESNs, the physics-informed ESNs are trained to solve supervised learning tasks while ensuring that their…

机器学习 · 计算机科学 2020-11-05 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

The prevailing data-driven machine learning has been plagued by the absence of physics knowledge and the scarcity of data. We implement the physics-model informed prior into Bayesian machine learning to evaluate the energy dependence of…

核理论 · 物理学 2026-02-03 Jiaming Liu , Yang Su , N. C. Shu , Y. J. Chen , J. C. Pei

In this paper, we show a physics-informed neural network solver for the time-dependent surface PDEs. Unlike the traditional numerical solver, no extension of PDE and mesh on the surface is needed. We show a simplified prior estimate of the…

机器学习 · 计算机科学 2021-03-26 Zhiwei Fang , Justin Zhang , Xiu Yang

This paper introduces a framework for combining scientific knowledge of physics-based models with neural networks to advance scientific discovery. This framework, termed physics-guided neural networks (PGNN), leverages the output of…

机器学习 · 计算机科学 2021-09-29 Arka Daw , Anuj Karpatne , William Watkins , Jordan Read , Vipin Kumar

Advancements in digital automation for smart grids have led to the installation of measurement devices like phasor measurement units (PMUs), micro-PMUs ($\mu$-PMUs), and smart meters. However, a large amount of data collected by these…

系统与控制 · 电气工程与系统科学 2023-09-20 Mehdi Jabbari Zideh , Paroma Chatterjee , Anurag K. Srivastava

We propose a novel machine learning algorithm for simulating radiative transfer. Our algorithm is based on physics informed neural networks (PINNs), which are trained by minimizing the residual of the underlying radiative tranfer equations.…

机器学习 · 计算机科学 2023-12-07 Siddhartha Mishra , Roberto Molinaro

Deep learning has been highly successful in some applications. Nevertheless, its use for solving partial differential equations (PDEs) has only been of recent interest with current state-of-the-art machine learning libraries, e.g.,…

机器学习 · 计算机科学 2024-10-22 Hamid El Bahja , Jan Christian Hauffen , Peter Jung , Bubacarr Bah , Issa Karambal

The article discusses the development of various methods and techniques for initializing and training neural networks with a single hidden layer, as well as training a separable physics-informed neural network consisting of neural networks…

数值分析 · 数学 2025-07-08 Vasiliy A. Es'kin , Alexey O. Malkhanov , Mikhail E. Smorkalov

Machine learning methods have found novel application areas in various disciplines as they offer low-computational cost solutions to complex problems. Recently, metasurface design has joined among these applications, and neural networks…

应用物理 · 物理学 2020-10-07 Ibrahim Tanriover , Wisnu Hadibrata , Koray Aydin

Foundation models for partial differential equations (PDEs) have emerged as powerful surrogates pre-trained on diverse physical systems, but adapting them to new downstream tasks remains challenging due to limited task-specific data and…

机器学习 · 计算机科学 2026-03-17 Vlad Medvedev , Leon Armbruster , Christopher Straub , Georg Kruse , Andreas Rosskopf

Object manipulation skills are necessary for robots operating in various daily-life scenarios, ranging from warehouses to hospitals. They allow the robots to manipulate the given object to their desired arrangement in the cluttered…

机器人学 · 计算机科学 2025-08-06 Hanwen Ren , Ruiqi Ni , Ahmed H. Qureshi

Learning the solution of partial differential equations (PDEs) with a neural network is an attractive alternative to traditional solvers due to its elegance, greater flexibility and the ease of incorporating observed data. However, training…

机器学习 · 计算机科学 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin

Machine learning techniques have emerged as powerful tools to tackle various challenges. The integration of machine learning methods with Physics has led to innovative approaches in understanding, controlling, and simulating physical…

物理教育 · 物理学 2025-05-20 G. Café de Miranda , Gubio G. de Lima , Tiago de S. Farias

This paper introduces an innovative physics-informed deep learning framework for metamodeling of nonlinear structural systems with scarce data. The basic concept is to incorporate physics knowledge (e.g., laws of physics, scientific…

计算工程、金融与科学 · 计算机科学 2020-07-15 Ruiyang Zhang , Yang Liu , Hao Sun

Accurate forecasting of contagious diseases is critical for public health policymaking and pandemic preparedness. We propose a new infectious disease forecasting model based on physics-informed neural networks (PINNs), an emerging…

This paper presents a PINN training framework that employs (1) pre-training steps that accelerates and improve the robustness of the training of physics-informed neural network with auxiliary data stored in point clouds, (2) a net-to-net…

机器学习 · 计算机科学 2021-07-27 Bahador Bahmani , WaiChing Sun

We propose a structured prediction approach for robot imitation learning from demonstrations. Among various tools for robot imitation learning, supervised learning has been observed to have a prominent role. Structured prediction is a form…

机器人学 · 计算机科学 2023-09-27 Anqing Duan , Iason Batzianoulis , Raffaello Camoriano , Lorenzo Rosasco , Daniele Pucci , Aude Billard

Effective motion planning in high dimensional spaces is a long-standing open problem in robotics. One class of traditional motion planning algorithms corresponds to potential-based motion planning. An advantage of potential based motion…

机器人学 · 计算机科学 2024-07-09 Yunhao Luo , Chen Sun , Joshua B. Tenenbaum , Yilun Du