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The Hopfield model, originally inspired by spin-glass physics, occupies a central place at the intersection of statistical mechanics, neural networks, and modern artificial intelligence. Despite its conceptual simplicity and broad…

Disordered Systems and Neural Networks · Physics 2026-01-15 Denis D. Caprioti , Matheus Haas , Constantino F. Vasconcelos , Mauricio Girardi-Schappo

This paper puts forward the vision of creating a library of neural-network-based models for power system simulations. Traditional numerical solvers struggle with the growing complexity of modern power systems, necessitating faster and more…

Systems and Control · Electrical Eng. & Systems 2025-02-11 Ioannis Karampinis , Petros Ellinas , Ignasi Ventura Nadal , Rahul Nellikkath , Spyros Chatzivasileiadis

Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal. In particular, the interaction picture simulation has been found to provide substantial asymptotic…

Quantum Physics · Physics 2022-08-17 Abhishek Rajput , Alessandro Roggero , Nathan Wiebe

Machine learned interatomic potentials (MLIPs) have emerged as powerful tools for molecular dynamics (MD) simulations with their competitive accuracy and computational efficiency. However, MLIPs are often observed to exhibit un-physical…

Materials Science · Physics 2026-02-24 Qianyu Zheng , Victor Fung

The integration of distributed renewable energy sources and the multi-domain behaviours inside the cyber-physical energy system (smart grids) draws up major challenges. Their validation and roll out requires careful assessment, in term of…

When simulating multiscale systems, where some fields cannot be fully prescribed despite their effects on the simulation's accuracy, closure models are needed. This phenomenon is observed in turbulent fluid dynamics, where Large Eddy…

Fluid Dynamics · Physics 2025-12-01 Eduardo Vital , Jean-Marc Gratien , Yassine Ayoun , Thibault Faney , Julien Bohbot

To operate process engineering systems in a safe and reliable manner, predictive models are often used in decision making. In many cases, these are mechanistic first principles models which aim to accurately describe the process. In…

Machine Learning · Computer Science 2022-05-20 Timur Bikmukhametov , Johannes Jäschke

High-quality power flow datasets are essential for training machine learning models in power systems. However, security and privacy concerns restrict access to real-world data, making statistically accurate and physically consistent…

Machine Learning · Computer Science 2025-08-26 Milad Hoseinpour , Vladimir Dvorkin

We have witnessed remarkable advances in LLM reasoning capabilities with the advent of DeepSeek-R1. However, much of this progress has been fueled by the abundance of internet question-answer (QA) pairs, a major bottleneck going forward,…

Understanding thermal stress evolution in metal additive manufacturing (AM) is crucial for producing high-quality components. Recent advancements in machine learning (ML) have shown great potential for modeling complex multiphysics problems…

Machine Learning · Computer Science 2024-12-30 R. Sharma , Y. B. Guo

Physics-informed machine learning (PIML) has emerged as a promising new approach for simulating complex physical and biological systems that are governed by complex multiscale processes for which some data are also available. In some…

Machine Learning · Computer Science 2022-05-18 Khemraj Shukla , Mengjia Xu , Nathaniel Trask , George Em Karniadakis

Deep neural networks have become a pervasive tool in science and engineering. However, modern deep neural networks' growing energy requirements now increasingly limit their scaling and broader use. We propose a radical alternative for…

Machine Learning · Computer Science 2022-01-31 Logan G. Wright , Tatsuhiro Onodera , Martin M. Stein , Tianyu Wang , Darren T. Schachter , Zoey Hu , Peter L. McMahon

We present a new hybrid physics-based machine-learning approach to reservoir modeling. The methodology relies on a series of deep adversarial neural network architecture with physics-based regularization. The network is used to simulate the…

Machine Learning · Statistics 2020-01-16 Cedric G. Fraces , Adrien Papaioannou , Hamdi Tchelepi

A significant increase in renewable energy production is necessary to achieve the UN's net-zero emission targets for 2050. Using power-electronic controllers, such as Phase Locked Loops (PLLs), to keep grid-tied renewable resources in…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Rahul Nellikkath , Andreas Venzke , Mohammad Kazem Bakhshizadeh , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Physics-informed neural networks (PINNs) offer a novel AI-driven framework for integrating physical laws directly into neural network models, facilitating the solution of complex multiphysics problems in materials engineering. This study…

Materials Science · Physics 2025-10-14 Mohid Farooqi , Ingmar Bösing , Conrard G. Tetsassi Feugmo

Physics-based models of dynamical systems are often used to study engineering and environmental systems. Despite their extensive use, these models have several well-known limitations due to simplified representations of the physical…

Machine Learning · Computer Science 2020-09-15 Xiaowei Jia , Jared Willard , Anuj Karpatne , Jordan S Read , Jacob A Zwart , Michael Steinbach , Vipin Kumar

We revisit the original approach of using deep learning and neural networks to solve differential equations by incorporating the knowledge of the equation. This is done by adding a dedicated term to the loss function during the optimization…

Machine Learning · Computer Science 2023-04-05 Hubert Baty , Leo Baty

Physics-informed neural networks (PINNs) are numerical solvers that embed all the physical information of a system into the loss function of a neural network. In this way the learned solution accounts for data (if available), the governing…

Computational Physics · Physics 2025-07-30 Andrés Martínez-Esteban , Pablo Calvo-Barlés , Luis Martín-Moreno , Sergio G Rodrigo

Urban systems are typical examples of complex systems, where the integration of physics-based modeling with artificial intelligence (AI) presents a promising paradigm for enhancing predictive accuracy, interpretability, and decision-making.…

Physics and Society · Physics 2025-06-18 En Xu , Huandong Wang , Yunke Zhang , Sibo Li , Yinzhou Tang , Zhilun Zhou , Yuming Lin , Yuan Yuan , Xiaochen Fan , Jingtao Ding , Yong Li

Quantifying and propagating modeling uncertainties is crucial for reliability analysis, robust optimization, and other model-based algorithmic processes in engineering design and control. Now, physics-informed machine learning (PIML)…

Machine Learning · Computer Science 2025-07-14 Manaswin Oddiraju , Bharath Varma Penumatsa , Divyang Amin , Michael Piedmonte , Souma Chowdhury
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