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We applied physics-informed neural networks to solve the constitutive relations for nonlinear, path-dependent material behavior. As a result, the trained network not only satisfies all thermodynamic constraints but also instantly provides…

计算工程、金融与科学 · 计算机科学 2023-09-07 Shahed Rezaei , Ahmad Moeineddin , Ali Harandi

High-performance scientific simulations, important for comprehension of complex systems, encounter computational challenges especially when exploring extensive parameter spaces. There has been an increasing interest in developing deep…

Multiscale topology optimization (TO) of hyperelastic materials remains computationally prohibitive due to the repeated solution of microscale boundary value problems. In this work, we present a concurrent multiscale topology optimization…

计算工程、金融与科学 · 计算机科学 2026-04-09 Asghar A. Jadoon , Aryan Tyagi , L. River Spencer , Reese E. Jones , Manuel K. Rausch , Ryan Alberdi , D. Thomas Seidl , Jan N. Fuhg

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

Physics-informed neural networks (PINNs) have shown promise in addressing the ill-posed deconvolution problem in computed tomography perfusion (CTP) imaging for acute ischemic stroke assessment. However, existing PINN-based approaches…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Junhyeok Lee , Minseo Choi , Han Jang , Young Hun Jeon , Heeseong Eum , Joon Jang , Chul-Ho Sohn , Kyu Sung Choi

Considering the growing necessity for precise modeling of power electronics amidst operational and environmental uncertainties, this paper introduces an innovative methodology that ingeniously combines model-driven and data-driven…

系统与控制 · 电气工程与系统科学 2024-06-25 Peifeng Hui , Chenggang Cui , Pengfeng Lin , Amer M. Y. M. Ghias , Xitong Niu , Chuanlin Zhang

To improve predictive models for STEM applications, supplemental physics-based features computed from input parameters are introduced into single and multiple layers of a deep neural network (DNN). While many studies focus on informing DNNs…

新兴技术 · 计算机科学 2024-09-02 Nicholus R. Clinkinbeard , Nicole N. Hashemi

This paper presents a deep learning strategy to simultaneously solve Partial Differential Equations (PDEs) and back-calculate their parameters in the context of deep tunnel excavation. A Physics-Informed Neural Network (PINN) model is…

计算物理 · 物理学 2026-05-29 Alec Tristani , Chloé Arson

Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

In this paper, we develop a deep learning approach for the accurate solution of challenging problems of near-field microscopy that leverages the powerful framework of physics-informed neural networks (PINNs) for the inversion of the complex…

光学 · 物理学 2024-06-12 Yuyao Chen , Luca Dal Negro

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

机器学习 · 计算机科学 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

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) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

This paper introduces scour physics-inspired neural networks (SPINNs), a hybrid physics-data-driven framework for bridge scour prediction using deep learning. SPINNs integrate physics-based, empirical equations into deep neural networks and…

机器学习 · 计算机科学 2024-09-11 Negin Yousefpour , Bo Wang

We propose a precise and efficient physics-augmented neural network (PANN) to model strain-induced crystallization in rubbery polymers. We demonstrate that the model can be flexibly employed for both unfilled and filled natural rubber (NR).…

材料科学 · 物理学 2026-03-16 Konrad Friedrichs , Franz Dammaß , Karl A. Kalina , Markus Kästner

While data-driven methods offer significant promise for modeling complex materials, they often face challenges in generalizing across diverse physical scenarios and maintaining physical consistency. To address these limitations, we propose…

图形学 · 计算机科学 2025-10-27 Xueguang Xie , Shu Yan , Shiwen Jia , Siyu Yang , Aimin Hao , Yang Gao , Peng Yu

The remarkable success of Deep Neural Networks(DNN) is driven by gradient-based optimization, yet this process is often undermined by its tendency to produce disordered weight structures, which harms feature clarity and degrades learning…

计算机视觉与模式识别 · 计算机科学 2025-08-05 Anzhe Cheng , Chenzhong Yin , Mingxi Cheng , Shukai Duan , Shahin Nazarian , Paul Bogdan

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

数值分析 · 数学 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

机器学习 · 计算机科学 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Multilayer perceptron (MLP) networks are predominantly used to develop data-driven constitutive models for granular materials. They offer a compelling alternative to traditional physics-based constitutive models in predicting nonlinear…

材料科学 · 物理学 2024-10-16 Farinaz Mostajeran , Salah A Faroughi