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In this work, we study physics-informed neural networks (PINNs) constrained by partial differential equations (PDEs) and their application in approximating PDEs with two characteristic scales. From a continuous perspective, our formulation…

Optimization and Control · Mathematics 2024-09-06 Michael Hintermüller , Denis Korolev

Most of the research on Federated Learning (FL) has focused on analyzing global optimization, privacy, and communication, with limited attention focusing on analyzing the critical matter of performing efficient local training and inference…

Machine Learning · Computer Science 2020-09-09 Basheer Qolomany , Kashif Ahmad , Ala Al-Fuqaha , Junaid Qadir

We introduce the Hamiltonian Monte Carlo Particle Swarm Optimizer (HMC-PSO), an optimization algorithm that reaps the benefits of both Exponentially Averaged Momentum PSO and HMC sampling. The coupling of the position and velocity of each…

Machine Learning · Computer Science 2022-06-29 Omatharv Bharat Vaidya , Rithvik Terence DSouza , Snehanshu Saha , Soma Dhavala , Swagatam Das

Physics-Informed Neural Operators provide efficient, high-fidelity simulations for systems governed by partial differential equations (PDEs). However, most existing studies focus only on multi-scale, multi-physics systems within a single…

Machine Learning · Computer Science 2025-07-08 Weidong Wu , Yong Zhang , Lili Hao , Yang Chen , Xiaoyan Sun , Dunwei Gong

The flexibility of electrical heating devices can help address the issues arising from the growing presence of unpredictable renewable energy sources in the energy system. In particular, heat pumps offer an effective solution by employing…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Thomas Dengiz , Max Kleinebrahm

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

Recently, Deep Convolutional Neural Network (DCNN) has achieved tremendous success in many machine learning applications. Nevertheless, the deep structure has brought significant increases in computation complexity. Largescale deep learning…

Neural and Evolutionary Computing · Computer Science 2018-05-14 Zhe Li , Ji Li , Ao Ren , Caiwen Ding , Jeffrey Draper , Qinru Qiu , Bo Yuan , Yanzhi Wang

We examine the modeling, simulation, and optimization of district heating systems, which are widely used for thermal transport using steam or hot water as a carrier. We propose a generalizable framework to specify network models and…

Optimization and Control · Mathematics 2024-04-30 Sai Krishna K. Hari , Anatoly Zlotnik , Shriram Srinivasan , Kaarthik Sundar , Mary Ewers

Thermal runaway in lithium-ion batteries is a critical safety concern for the battery industry due to its potential to cause uncontrolled temperature rises and subsequent fires that can engulf the battery pack and its surroundings. Modeling…

Computational Engineering, Finance, and Science · Computer Science 2025-07-15 Saakaar Bhatnagar , Andrew Comerford , Zelu Xu , Simone Reitano , Luigi Scrimieri , Luca Giuliano , Araz Banaeizadeh

Novel applications of artificial intelligence for tuning the parameters of industrial machines for optimal performance are emerging at a fast pace. Tuning the combine harvesters and improving the machine performance can dramatically…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Laszlo Nadai , Felde Imre , Sina Ardabili , Tarahom Mesri Gundoshmian , Pinter Gergo , Amir Mosavi

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Numerical Analysis · Mathematics 2024-10-18 N. Kovács , M. A. Maia , I. B. C. M. Rocha , C. Furtado , P. P. Camanho , F. P. van der Meer

In the field of parametric partial differential equations, shape optimization represents a challenging problem due to the required computational resources. In this contribution, a data-driven framework involving multiple reduction…

Numerical Analysis · Mathematics 2021-02-23 Nicola Demo , Marco Tezzele , Andrea Mola , Gianluigi Rozza

A variety of modeling techniques have been developed in the past decade to reduce the computational expense and improve the accuracy of modeling. In this study, a new framework of modeling is suggested. Compared with other popular methods,…

Machine Learning · Computer Science 2018-09-06 Yu Li , Hu Wang , Kangjia Mo , Tao Zeng

Accurately estimating the 3D layout of rooms is a crucial task in computer vision, with potential applications in robotics, augmented reality, and interior design. This paper proposes a novel model, PanoTPS-Net, to estimate room layout from…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Hatem Ibrahem , Ahmed Salem , Qinmin Vivian Hu , Guanghui Wang

This paper introduces an adaptive convolutional neural network (CNN) architecture capable of automating various topology optimization (TO) problems with diverse underlying physics. The proposed architecture has an encoder-decoder-type…

Computational Engineering, Finance, and Science · Computer Science 2024-04-19 Khaish Singh Chadha , Prabhat Kumar

When modelling phase change, the latent heat released (absorbed) during solidification (melting) must be included in the heat transfer equation. In this paper, different SPH methods for the implementation of latent heat, in the context of…

Fluid Dynamics · Physics 2018-02-21 Amirsaman Farrokhpanah , Markus Bussmann , Javad Mostaghimi

Convolutional neural networks (CNNs) are widely used in image recognition. Numerous CNN models, such as LeNet, AlexNet, VGG, ResNet, and GoogLeNet, have been proposed by increasing the number of layers, to improve the performance of CNNs.…

Neural and Evolutionary Computing · Computer Science 2021-08-10 Wei-Chang Yeh , Yi-Ping Lin , Yun-Chia Liang , Chyh-Ming Lai

In this work, we present a methodology using Physics Informed Neural Networks (PINNs) to determine the required velocity of a coolant, given inlet and outlet temperatures for a given heat flux in a multilayered metal-oxide-semiconductor…

Neural and Evolutionary Computing · Computer Science 2026-02-25 Aniruddha Bora , Isabel K. Alvarez , Julie Chalfant , Chryssostomos Chryssostomidis

Ocean current, fluid mechanics, and many other spatio-temporal physical dynamical systems are essential components of the universe. One key characteristic of such systems is that certain physics laws -- represented as ordinary/partial…

Machine Learning · Computer Science 2021-08-16 Yu Huang , James Li , Min Shi , Hanqi Zhuang , Xingquan Zhu , Laurent Chérubin , James VanZwieten , Yufei Tang

Power modules with excellent inductance and temperature metrics are significant to meet the rising sophistication of energy demand in new technologies. In this paper, we use a surrogate-based approach to render optimal layouts of power…

Neural and Evolutionary Computing · Computer Science 2023-12-15 Victor Parque , Aiki Nakamura , Tomoyuki Miyashita
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