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This paper presents a simulation free framework for solving reliability analysis problems. The method proposed is rooted in a recently developed deep learning approach, referred to as the physics-informed neural network. The primary idea is…

Machine Learning · Statistics 2020-06-16 Souvik Chakraborty

With several advantages and as an alternative to predict physics field, machine learning methods can be classified into two distinct types: data-driven relying on training data and physics-driven using physics law. Choosing heat conduction…

Computational Physics · Physics 2020-05-19 Hao Ma , Xiangyu Hu , Yuxuan Zhang , Nils Thuerey , Oskar J. Haidn

We present a method that employs physics-informed deep learning techniques for parametrically solving partial differential equations. The focus is on the steady-state heat equations within heterogeneous solids exhibiting significant phase…

Machine Learning · Computer Science 2024-01-05 Shahed Rezaei , Ahmad Moeineddin , Michael Kaliske , Markus Apel

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

The increasing share of renewable energy and distributed electricity generation requires the development of deep learning approaches to address the lack of flexibility inherent in traditional power grid methods. In this context, Graph…

Machine Learning · Computer Science 2026-01-08 Mohamed Hassouna , Clara Holzhüter , Pawel Lytaev , Josephine Thomas , Bernhard Sick , Christoph Scholz

This paper develops an ensemble learning-based linearization approach for power flow, which differs from the network-parameter based direct current (DC) power flow or other extended versions of linearization. As a novel data-driven…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Ren Hu , QiFeng Li

Deep neural networks (DNNs) are often coupled with physics-based models or data-driven surrogate models to perform fault detection and health monitoring of systems in the low data regime. These models serve as digital twins to generate…

Machine Learning · Computer Science 2023-03-21 Laya Das , Blazhe Gjorgiev , Giovanni Sansavini

While physics conveys knowledge of nature built from an interplay between observations and theory, it has been considered less importantly in deep neural networks. Especially, there are few works leveraging physics behaviors when the…

Machine Learning · Computer Science 2019-02-12 Sungyong Seo , Yan Liu

Solving the alternating current power flow equations in real time is essential for secure grid operation, yet classical Newton-Raphson solvers can be slow under stressed conditions. Existing graph neural networks for power flow are…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Chidozie Ezeakunne , Jose E. Tabarez , Reeju Pokharel , Anup Pandey

In this paper, a novel principle-driven fiber transmission model based on physical induced neural network (PINN) is proposed. Unlike data-driven models which regard fiber transmission problem as data regression tasks, this model views it as…

Signal Processing · Electrical Eng. & Systems 2022-04-20 Yubin Zang , Zhenming Yu , Kun Xu , Xingzeng Lan , Minghua Chen , Sigang Yang , Hongwei Chen

The AC optimal power flow (AC-OPF) problem is essential for power system operations, but its non-convex nature makes it challenging to solve. A widely used simplification is the linearized DC optimal power flow (DC-OPF) problem, which can…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Salvador Pineda , Juan Pérez-Ruiz , Juan Miguel Morales

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power…

Optimization and Control · Mathematics 2025-12-02 Andrew Rosemberg , Michael Klamkin , Pascal Van Hentenryck

This paper presents a data-driven modeling approach for developing control-oriented thermal models of buildings. These models are developed with the objective of reducing energy consumption costs while controlling the indoor temperature of…

Signal Processing · Electrical Eng. & Systems 2022-03-30 Gargya Gokhale , Bert Claessens , Chris Develder

Physics-informed neural networks (PINNs) is an emerging category of neural networks which can be trained to solve supervised learning tasks while taking into consideration given laws of physics described by general nonlinear partial…

Cryptography and Security · Computer Science 2026-04-07 Solon Falas , Charalambos Konstantinou , Maria K. Michael

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

Systems and Control · Electrical Eng. & Systems 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

For many systems in science and engineering, the governing differential equation is either not known or known in an approximate sense. Analyses and design of such systems are governed by data collected from the field and/or laboratory…

Machine Learning · Computer Science 2021-02-03 Souvik Chakraborty

The transformative impact of machine learning, particularly Deep Learning (DL), on scientific and engineering domains is evident. In the context of computational fluid dynamics (CFD), Physics-Informed Neural Networks (PINNs) represent a…

Fluid Dynamics · Physics 2024-04-05 Siddharth Raghu , Rajdip Nayek , Vamsi Chalamalla

The necessary integration of renewable energy sources, combined with the expanding scale of power networks, presents significant challenges in controlling modern power grids. Traditional control systems, which are human and…

Machine Learning · Computer Science 2025-09-04 Carlo Fabrizio , Gianvito Losapio , Marco Mussi , Alberto Maria Metelli , Marcello Restelli

Graph neural networks (GNNs) naturally align with sparse operators and unstructured discretizations, making them a promising paradigm for physics-informed machine learning in computational mechanics. Motivated by discrete physics losses and…

Machine Learning · Computer Science 2026-02-10 Jianchuan Yang , Xi Chen , Jidong Zhao

Urban flow prediction is a spatio-temporal modeling task that estimates the throughput of transportation services like buses, taxis, and ride-sharing, where data-driven models have become the most popular solution in the past decade.…

Machine Learning · Computer Science 2024-08-07 Wei Jiang , Tong Chen , Guanhua Ye , Wentao Zhang , Lizhen Cui , Zi Huang , Hongzhi Yin
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