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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…

Machine Learning · Computer Science 2026-05-08 Reza Pirayeshshirazinezhad

The application of deep learning methods to speed up the resolution of challenging power flow problems has recently shown very encouraging results. However, power system dynamics are not snap-shot, steady-state operations. These dynamics…

Machine Learning · Computer Science 2022-06-22 Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

Load forecasting plays a pivotal role in the safe and stable operation of power systems. Conventional deep learning methods often struggle to adapt to few-shot scenarios frequently encountered in industrial applications. Existing…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Yuxuan Chen , Shuo Dai , Ruoyi Xu , Haipeng Xie

Combining machine learning with physics is a trending approach for discovering unknown dynamics, and one of the most intensively studied frameworks is the physics-informed neural network (PINN). However, PINN often fails to optimize the…

Machine Learning · Computer Science 2023-11-29 Yuichi Kajiura , Jorge Espin , Dong Zhang

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

Fluid Dynamics · Physics 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

This article introduces Perception-Informed Neural Networks (PrINNs), a framework designed to incorporate perception-based information into neural networks, addressing both systems with known and unknown physics laws or differential…

Machine Learning · Computer Science 2025-05-27 Mehran Mazandarani , Marzieh Najariyan

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…

Machine Learning · Computer Science 2025-04-30 Ying Qian , Kui Zhang , Éric Marty , Avranil Basu , Eamon B. O'Dea , Xianqiao Wang , Spencer Fox , Pejman Rohani , John M. Drake , He Li

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

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

Accurate forecasting of industrial time series requires balancing predictive accuracy with physical plausibility under non-stationary operating conditions. Existing data-driven models often achieve strong statistical performance but…

Machine Learning · Computer Science 2026-05-20 Yeran Zhang , Pengwei Yang , Guoqing Wang , Tianyu Li

Inversion-based feedforward control relies on an accurate model that describes the inverse system dynamics. The gated recurrent unit (GRU), which is a recent architecture in recurrent neural networks, is a strong candidate for obtaining…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Mingdao Lin , Max Bolderman , Mircea Lazar

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

Computational Physics · Physics 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky

Traditional physics-informed neural networks (PINNs) do not always satisfy physics based constraints, especially when the constraints include differential operators. Rather, they minimize the constraint violations in a soft way. Strict…

Machine Learning · Computer Science 2025-12-08 Rahul Golder , Bimol Nath Roy , M. M. Faruque Hasan

Time series forecasting has been an essential field in many different application areas, including economic analysis, meteorology, and so forth. The majority of time series forecasting models are trained using the mean squared error (MSE).…

Machine Learning · Computer Science 2024-07-03 Sheo Yon Jhin , Seojin Kim , Noseong Park

Prediction markets rely on liquidity to convert trades into informative prices, yet existing mechanisms fix liquidity ex ante. This restriction enforces a static trade-off between price responsiveness and worst-case loss despite inherently…

Computer Science and Game Theory · Computer Science 2026-05-12 Enrique Nueve , Bao Nguyen , Rafael Frongillo , Bo Waggoner

As financial markets grow increasingly complex in the big data era, accurate stock prediction has become more critical. Traditional time series models, such as GRUs, have been widely used but often struggle to capture the intricate…

Statistical Finance · Quantitative Finance 2025-08-27 Peng Zhu , Yuante Li , Yifan Hu , Sheng Xiang , Qinyuan Liu , Dawei Cheng , Yuqi Liang

Porous materials -- natural or engineered -- often exhibit dual pore-network structures that govern processes such as mineral exploration and hydrocarbon recovery from tight shales. Double porosity/permeability (DPP) mathematical models…

Numerical Analysis · Mathematics 2026-03-23 V. S. Maduri , K. B. Nakshatrala

Physics-informed neural networks (PINNs) incorporate physical laws into their training to efficiently solve partial differential equations (PDEs) with minimal data. However, PINNs fail to guarantee adherence to conservation laws, which are…

Machine Learning · Computer Science 2024-10-24 Anthony Baez , Wang Zhang , Ziwen Ma , Subhro Das , Lam M. Nguyen , Luca Daniel

Data-based discovery of effective, coarse-grained (CG) models of high-dimensional dynamical systems presents a unique challenge in computational physics and particularly in the context of multiscale problems. The present paper offers a…

Computational Physics · Physics 2020-08-26 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

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…

Machine Learning · Computer Science 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli