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Partial differential equations (PDEs) play a fundamental role in modeling and simulating problems across a wide range of disciplines. Recent advances in deep learning have shown the great potential of physics-informed neural networks…

Machine Learning · Computer Science 2022-01-31 Pu Ren , Chengping Rao , Yang Liu , Jianxun Wang , Hao Sun

Improving the efficiency of current neural networks and modeling them in biological neural systems have become popular research directions in recent years. Pulse-coupled neural network (PCNN) is a well applicated model for imitating the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Haoran Liu , Mingzhe Liu , Peng Li , Jiahui Wu , Xin Jiang , Zhuo Zuo , Bingqi Liu

Due to their high energy intensity, buildings play a major role in the current worldwide energy transition. Building models are ubiquitous since they are needed at each stage of the life of buildings, i.e. for design, retrofitting, and…

Machine Learning · Computer Science 2022-07-12 Loris Di Natale , Bratislav Svetozarevic , Philipp Heer , Colin N. Jones

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

This paper introduces a Transformer-Enhanced Physics-Informed Neural Network (TE-PINN) designed for accurate quaternion-based orientation estimation in high-dynamic environments, particularly within the field of robotics. By integrating…

Robotics · Computer Science 2024-09-25 Arman Asgharpoor Golroudbari

The variability of renewable energy generation and the unpredictability of electricity demand create a need for real-time economic dispatch (ED) of assets in microgrids. However, solving numerical optimization problems in real-time can be…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Xiaoyu Ge , Javad Khazaei

The collective behavior of a network with heterogeneous, resource-limited information processing units (e.g., group of fish, flock of birds, or network of neurons) demonstrates high self-organization and complexity. These emergent…

Machine Learning · Computer Science 2023-10-13 Chenzhong Yin , Mingxi Cheng , Xiongye Xiao , Xinghe Chen , Shahin Nazarian , Andrei Irimia , Paul Bogdan

As phasor measurement units (PMUs) become more widely used in transmission power systems, a fast state estimation (SE) algorithm that can take advantage of their high sample rates is needed. To accomplish this, we present a method that uses…

Machine Learning · Computer Science 2026-03-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

Graph Neural Networks (GNNs) have shown remarkable success in learning from graph-structured data. However, their application to directed graphs (digraphs) presents unique challenges, primarily due to the inherent asymmetry in node…

Machine Learning · Computer Science 2025-05-16 Wei Zhuo , Han Yu , Guang Tan , Xiaoxiao Li

Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

Computational Engineering, Finance, and Science · Computer Science 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

Power delivery network (PDN) design is a nontrivial, time-intensive, and iterative task. Correct PDN design must account for considerations related to power bumps, currents, blockages, and signal congestion distribution patterns. This work…

Hardware Architecture · Computer Science 2021-10-28 Vidya A. Chhabria , Sachin S. Sapatnekar

We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

Machine Learning · Computer Science 2023-08-09 Vedanta Thapar

Discovering the unknown governing equations of grid-connected inverters from external measurements holds significant attraction for analyzing modern inverter-intensive power systems. However, existing methods struggle to balance the…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Jialin Zheng , Ruhaan Batta , Zhong Liu , Xiaonan Lu

Recently, the superior performance of Transformers has made them a more robust and scalable solution for sequence modeling than traditional recurrent neural networks (RNNs). However, the effectiveness of Transformer in capturing long-term…

Machine Learning · Computer Science 2025-05-07 Zhou Wu , Junyi An , Baile Xu , Furao Shen , Jian Zhao

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

Endowing robots with human-like physical reasoning abilities remains challenging. We argue that existing methods often disregard spatio-temporal relations and by using Graph Neural Networks (GNNs) that incorporate a relational inductive…

Machine Learning · Computer Science 2019-10-24 Fabio Ferreira , Lin Shao , Tamim Asfour , Jeannette Bohg

In machine learning for fluid mechanics, fully-connected neural network (FNN) only uses the local features for modelling, while the convolutional neural network (CNN) cannot be applied to data on structured/unstructured mesh. In order to…

Fluid Dynamics · Physics 2021-01-14 Mengfei Xu , Shufang Song , Xuxiang Sun , Weiwei Zhang

A physics-informed convolutional neural network is proposed to simulate two phase flow in porous media with time-varying well controls. While most of PICNNs in existing literatures worked on parameter-to-state mapping, our proposed network…

Machine Learning · Computer Science 2024-10-24 Jungang Chen , Eduardo Gildin , John E. Killough

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

Machine Learning · Computer Science 2025-10-01 Erfan Hamdi , Emma Lejeune

While trade-offs between modeling effort and model accuracy remain a major concern with system identification, resorting to data-driven methods often leads to a complete disregard for physical plausibility. To address this issue, we propose…

Systems and Control · Electrical Eng. & Systems 2022-08-23 Oliver Schön , Ricarda-Samantha Götte , Julia Timmermann