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We propose a new semi-analytic physics informed neural network (PINN) to solve singularly perturbed boundary value problems. The PINN is a scientific machine learning framework that offers a promising perspective for finding numerical…

数值分析 · 数学 2022-08-22 Gung-Min Gie , Youngjoon Hong , Chang-Yeol Jung

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

计算工程、金融与科学 · 计算机科学 2024-04-30 Yared W. Bekele

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

数值分析 · 数学 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Scientific machine learning and the advent of the Physics-Informed Neural Network (PINN) have shown high potential in their ability to solve complex differential equations. One example is the use of PINNs to solve the gravity field modeling…

机器学习 · 计算机科学 2025-02-05 John Martin , Hanspeter Schaub

Graph Neural Networks (GNNs) have achieved promising performance in a variety of graph-focused tasks. Despite their success, however, existing GNNs suffer from two significant limitations: a lack of interpretability in their results due to…

机器学习 · 统计学 2024-11-19 Wenzhuo Zhou , Annie Qu , Keiland W. Cooper , Norbert Fortin , Babak Shahbaba

Graph neural networks (GNNs) are the predominant approach for graph-based machine learning. While neural networks have shown great performance at learning useful representations, they are often criticized for their limited high-level…

机器学习 · 计算机科学 2024-07-09 Markus Zopf , Francesco Alesiani

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…

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

In this work, we address the task of natural image generation guided by a conditioning input. We introduce a new architecture called conditional invertible neural network (cINN). The cINN combines the purely generative INN model with an…

计算机视觉与模式识别 · 计算机科学 2019-07-11 Lynton Ardizzone , Carsten Lüth , Jakob Kruse , Carsten Rother , Ullrich Köthe

Network structures play important roles in social, technological and biological systems. However, the observable nodes and connections in real cases are often incomplete or unavailable due to measurement errors, private protection issues,…

社会与信息网络 · 计算机科学 2024-06-19 Mengyuan Chen , Yan Zhang , Zhang Zhang , Lun Du , Jiang Zhang

Data-driven discovery of governing equations from noisy observations remains a fundamental challenge in scientific machine learning. While GENERIC formalism informed neural networks (GFINNs) provide a principled framework that enforces the…

机器学习 · 计算机科学 2026-04-08 Jun Sur Richard Park , Auroni Huque Hashim , Siu Wun Cheung , Youngsoo Choi , Yeonjong Shin

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in…

机器学习 · 计算机科学 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

Learning distributed representations of source code has been a challenging task for machine learning models. Earlier works treated programs as text so that natural language methods can be readily applied. Unfortunately, such approaches do…

软件工程 · 计算机科学 2020-05-28 Yu Wang , Fengjuan Gao , Linzhang Wang , Ke Wang

Physics-informed neural networks (PINNs) solve time-dependent partial differential equations (PDEs) by learning a mesh-free, differentiable solution that can be evaluated anywhere in space and time. However, standard space--time PINNs take…

机器学习 · 计算机科学 2026-01-29 Chen-Yang Dai , Che-Chia Chang , Te-Sheng Lin , Ming-Chih Lai , Chieh-Hsin Lai

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…

机器学习 · 计算机科学 2026-05-08 Reza Pirayeshshirazinezhad

We introduce a Physics-Informed Neural Networks(PINN) to solve a relativistic Burgers equation in the exterior domain of a Schwarzschild black hole. Our main contribution is a PINN architecture that is able to simulate shock wave formations…

数值分析 · 数学 2025-06-04 Shuyang Xiang

Soft robots can revolutionize several applications with high demands on dexterity and safety. When operating these systems, real-time estimation and control require fast and accurate models. However, prediction with first-principles (FP)…

机器人学 · 计算机科学 2025-11-19 Tim-Lukas Habich , Aran Mohammad , Simon F. G. Ehlers , Martin Bensch , Thomas Seel , Moritz Schappler

Although physics-informed neural networks(PINNs) have progressed a lot in many real applications recently, there remains problems to be further studied, such as achieving more accurate results, taking less training time, and quantifying the…

机器学习 · 计算机科学 2022-12-01 Bin Shan , Ye Li , Shengjun Huang

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for solving differential equations by integrating physical laws into the learning process. This work leverages PINNs to simulate gravitational collapse, a critical…

宇宙学与河外天体物理 · 物理学 2025-06-04 Ashutosh Kumar Mishra , Emma Tolley

Biologically-informed neural networks (BINNs), an extension of physics-informed neural networks [1], are introduced and used to discover the underlying dynamics of biological systems from sparse experimental data. In the present work, BINNs…

定量方法 · 定量生物学 2021-01-27 John H. Lagergren , John T. Nardini , Ruth E. Baker , Matthew J. Simpson , Kevin B. Flores