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Physics-informed neural networks (PINNs) are a new tool for solving boundary value problems by defining loss functions of neural networks based on governing equations, boundary conditions, and initial conditions. Recent investigations have…

计算工程、金融与科学 · 计算机科学 2023-11-14 Ali Harandi , Ahmad Moeineddin , Michael Kaliske , Stefanie Reese , Shahed Rezaei

Physics-informed machine learning (PIML) as a means of solving partial differential equations (PDE) has garnered much attention in the Computational Science and Engineering (CS&E) world. This topic encompasses a broad array of methods and…

机器学习 · 计算机科学 2024-09-05 Michael Penwarden , Houman Owhadi , Robert M. Kirby

Physics-Informed Neural Networks (PINNs) have received increased interest for forward, inverse, and surrogate modeling of problems described by partial differential equations (PDE). However, their application to multiphysics problem,…

机器学习 · 计算机科学 2022-09-09 Danial Amini , Ehsan Haghighat , Ruben Juanes

Although Bayesian Optimization (BO) has been employed for accelerating materials design in computational materials engineering, existing works are restricted to problems with quantitative variables. However, real designs of materials…

机器学习 · 统计学 2019-10-07 Yichi Zhang , Daniel Apley , Wei Chen

Machine Learning (ML) has widely been used for modeling and predicting physical systems. These techniques offer high expressive power and good generalizability for interpolation within observed data sets. However, the disadvantage of…

Multi-robot systems require scalable and federated methods to model complex environments under computational and communication constraints. Gaussian Processes (GPs) offer robust probabilistic modeling, but suffer from cubic computational…

多智能体系统 · 计算机科学 2026-02-13 Sanket A. Salunkhe , George P. Kontoudis

Physics-guided machine learning (PGML) has become a prevalent approach in studying scientific systems due to its ability to integrate scientific theories for enhancing machine learning (ML) models. However, most PGML approaches are tailored…

机器学习 · 计算机科学 2025-02-11 Runlong Yu , Chonghao Qiu , Robert Ladwig , Paul Hanson , Yiqun Xie , Xiaowei Jia

Gaussian Process Motion Planning (GPMP) is a widely used framework for generating smooth trajectories within a limited compute time--an essential requirement in many robotic applications. However, traditional GPMP approaches often struggle…

机器人学 · 计算机科学 2025-04-08 Jiayun Li , Kay Pompetzki , An Thai Le , Haolei Tong , Jan Peters , Georgia Chalvatzaki

We present a level-set based topology optimization algorithm for design optimization problems involving an arbitrary number of different materials, where the evolution of a design is solely guided by topological derivatives. Our method can…

最优化与控制 · 数学 2020-06-24 Peter Gangl

Traffic state estimation (TSE) becomes challenging when probe-vehicle penetration is low and observations are spatially sparse. Pure data-driven methods lack physical explanations and have poor generalization when observed data is sparse.…

机器学习 · 计算机科学 2025-12-04 Yanlin Chen , Kehua Chen , Yinhai Wang

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

生物大分子 · 定量生物学 2025-11-11 Aaryesh Deshpande

Iterative methods are widely used for solving partial differential equations (PDEs). However, the difficulty in eliminating global low-frequency errors significantly limits their convergence speed. In recent years, neural networks have…

计算物理 · 物理学 2024-10-10 Daiwei Dong , Wei Suo , Jiaqing Kou , Weiwei Zhang

Physics informed neural networks (PINNs) have recently been proposed as surrogate models for solving process optimization problems. However, in an active learning setting collecting enough data for reliably training PINNs poses a challenge.…

系统与控制 · 电气工程与系统科学 2024-02-22 Liqiu Dong , Marta Zagorowska , Tong Liu , Alex Durkin , Mehmet Mercangöz

Machine learning models trained with structural health monitoring data have become a powerful tool for system identification. This paper presents a physics-informed Gaussian process (GP) model for Timoshenko beam elements. The model is…

机器学习 · 计算机科学 2023-09-22 Gledson Rodrigo Tondo , Sebastian Rau , Igor Kavrakov , Guido Morgenthal

Data-driven materials design often encounters challenges where systems require or possess qualitative (categorical) information. Metal-organic frameworks (MOFs) are an example of such material systems. The representation of MOFs through…

材料科学 · 物理学 2023-11-16 Yigitcan Comlek , Thang Duc Pham , Randall Snurr , Wei Chen

We present a new approach and an algorithm for optimizing the material configuration and behaviour of a fluid saturated porous medium in a two-scale setting. The state problem is governed by the Biot model describing the fluid-structure…

计算工程、金融与科学 · 计算机科学 2023-01-30 Bich Ngoc Vu , Vladimir Lukeš , Michael Stingl , Eduard Rohan

Science-based simulation tools such as Finite Element (FE) models are routinely used in scientific and engineering applications. While their success is strongly dependent on our understanding of underlying governing physical laws, they…

机器学习 · 计算机科学 2021-03-31 Navid Zobeiry , Anoush Poursartip

Constructing first-principles models is usually a challenging and time-consuming task due to the complexity of the real-life processes. On the other hand, data-driven modeling, and in particular neural network models often suffer from…

最优化与控制 · 数学 2023-02-03 Ece S. Koksal , Erdal Aydin

Bayesian optimization (BO) is a powerful and data-efficient method for iterative materials discovery and design, particularly valuable when prior knowledge is limited, underlying functional relationships are complex or unknown, and the cost…

Topology optimization (TO) is a common technique used in free-form designs. However, conventional TO-based design approaches suffer from high computational cost due to the need for repetitive forward calculations and/or sensitivity…

人工智能 · 计算机科学 2020-09-15 Chao Qian , Wenjing Ye