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Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

机器学习 · 计算机科学 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

Real-time particle transverse momentum ($p_T$) estimation in high-energy physics demands algorithms that are both efficient and accurate under strict hardware constraints. Static machine learning models degrade under high pileup and lack…

机器学习 · 计算机科学 2026-04-21 Md Abrar Jahin , Shahriar Soudeep , M. F. Mridha , Muhammad Mostafa Monowar , Md. Abdul Hamid

Symbolic regression corresponds to an ensemble of techniques that allow to uncover an analytical equation from data. Through a closed form formula, these techniques provide great advantages such as potential scientific discovery of new…

机器学习 · 计算机科学 2021-10-27 Ismail Alaoui Abdellaoui , Siamak Mehrkanoon

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

计算物理 · 物理学 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Automated scientific discovery aims to improve scientific understanding through machine learning. A central approach in this field is symbolic regression, which uses genetic programming or sparse regression to learn interpretable…

神经与进化计算 · 计算机科学 2026-03-11 Sigur de Vries , Sander W. Keemink , Marcel A. J. van Gerven

The high-energy physics community is investigating the potential of deploying machine-learning-based solutions on Field-Programmable Gate Arrays (FPGAs) to enhance physics sensitivity while still meeting data processing time constraints. In…

Symbolic Regression (SR) enables the discovery of interpretable mathematical relationships from experimental and simulation data. These relationships are often coined descriptors which are defined as a fundamental materials property that is…

计算物理 · 物理学 2026-02-10 Udaykumar Gajera , Mohsen Sotoudeh , Kanchan Sarkar , Axel Groß

Physics-Informed Machine Learning (PIML) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

计算物理 · 物理学 2021-05-26 Samuel J. Raymond , David B. Camarillo

Accurate and high-resolution Earth system model (ESM) simulations are essential to assess the ecological and socio-economic impacts of anthropogenic climate change, but are computationally too expensive to be run at sufficiently high…

大气与海洋物理 · 物理学 2025-02-27 Philipp Hess , Michael Aich , Baoxiang Pan , Niklas Boers

Developing mathematical models of dynamic systems is central to many disciplines of engineering and science. Models facilitate simulations, analysis of the system's behavior, decision making and design of automatic control algorithms. Even…

机器学习 · 计算机科学 2020-06-19 Erik Derner , Jiří Kubalík , Nicola Ancona , Robert Babuška

In science, we are interested not only in forecasting but also in understanding how predictions are made, specifically what the interpretable underlying model looks like. Data-driven machine learning technology can significantly streamline…

符号计算 · 计算机科学 2025-05-29 Weiting Liu , Jiaxu Cui , Jiao Hu , En Wang , Bo Yang

Using machine learning (ML), high performance computing, and a large body of geospatial information, we develop surrogate models to predict soil liquefaction across regional scales. Two sets of models - one global and one specific to New…

计算工程、金融与科学 · 计算机科学 2025-09-16 Morgan D. Sanger , Mertcan Geyin , Brett W. Maurer

We demonstrate the use of symbolic regression in deriving analytical formulas, which are needed at various stages of a typical experimental analysis in collider phenomenology. As a first application, we consider kinematic variables like the…

高能物理 - 唯象学 · 物理学 2023-03-29 Zhongtian Dong , Kyoungchul Kong , Konstantin T. Matchev , Katia Matcheva

Physics-informed machine learning (PIML) has emerged as a promising alternative to conventional numerical methods for solving partial differential equations (PDEs). PIML models are increasingly built via deep neural networks (NNs) whose…

机器学习 · 计算机科学 2024-09-30 Carlos Mora , Amin Yousefpour , Shirin Hosseinmardi , Ramin Bostanabad

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

数据分析、统计与概率 · 物理学 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Recent empirical evidence has driven conventional wisdom to believe that gradient-based meta-learning (GBML) methods perform well at few-shot learning because they learn an expressive data representation that is shared across tasks.…

机器学习 · 计算机科学 2023-06-06 Liam Collins , Aryan Mokhtari , Sewoong Oh , Sanjay Shakkottai

Time-dependent partial differential equations (PDEs) often develop sharp fronts, localized peaks, and other moving structures that occupy only a small portion of the space--time domain but dominate the approximation error. This makes fixed…

数值分析 · 数学 2026-05-27 Beining Xu , Bocheng Zhang , Haijun Yu , Zhao Zhang , Jiayu Zhai

In this article, a stochastic gradient based online learning algorithm for Extreme Learning Machines (ELM) is developed (SG-ELM). A stability criterion based on Lyapunov approach is used to prove both asymptotic stability of estimation…

神经与进化计算 · 计算机科学 2015-01-19 Vijay Manikandan Janakiraman , XuanLong Nguyen , Dennis Assanis

This work presents a multi-resolution physics-informed recurrent neural network (MR PI-RNN), for simultaneous prediction of musculoskeletal (MSK) motion and parameter identification of the MSK systems. The MSK application was selected as…

机器学习 · 计算机科学 2023-05-29 Karan Taneja , Xiaolong He , Qizhi He , J. S. Chen

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…