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We study numerical algorithms to solve a specific Partial Differential Equation (PDE), namely the Stefan problem, using Physics Informed Neural Networks (PINNs). This problem describes the heat propagation in a liquid-solid phase change…

数值分析 · 数学 2024-10-21 Bahae-Eddine Madir , Francky Luddens , Corentin Lothodé , Ionut Danaila

This work presents a physics-informed neural network (PINN) based framework to model the strain-rate and temperature dependence of the deformation fields in elastic-viscoplastic solids. To avoid unbalanced back-propagated gradients during…

材料科学 · 物理学 2022-11-24 Rajat Arora , Pratik Kakkar , Biswadip Dey , Amit Chakraborty

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

神经与进化计算 · 计算机科学 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

Our work aims at simulating and predicting the temperature conditions inside a power transformer using Physics-Informed Neural Networks (PINNs). The predictions obtained are then used to determine the optimal placement for temperature…

机器学习 · 计算机科学 2025-02-04 Sirui Li , Federica Bragone , Matthieu Barreau , Tor Laneryd , Kateryna Morozovska

Convolutional Neural Networks (CNN) are becoming a common presence in many applications and services, due to their superior recognition accuracy. They are increasingly being used on mobile devices, many times just by porting large models…

The use of machine learning algorithms to predict behaviors of complex systems is booming. However, the key to an effective use of machine learning tools in multi-physics problems, including combustion, is to couple them to physical and…

Population-based methods can cope with a variety of different problems, including problems of remarkably higher complexity than those traditional methods can handle. The main procedure consists of successively updating a population of…

神经与进化计算 · 计算机科学 2021-01-27 Mauro S. Innocente , Johann Sienz

A great deal of research has been conducted in the consideration of meta-heuristic optimisation methods that are able to find global optima in settings that gradient based optimisers have traditionally struggled. Of these, so-called…

神经与进化计算 · 计算机科学 2023-05-01 Max D. Champneys , Timothy J. Rogers

Physics-constrained data-driven computing is an emerging hybrid approach that integrates universal physical laws with data-driven models of experimental data for scientific computing. A new data-driven simulation approach coupled with a…

计算工程、金融与科学 · 计算机科学 2020-04-22 Qizhi He , Jiun-Shyan Chen

Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

机器学习 · 计算机科学 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause

Numerical optimization techniques are widely used in a broad area of science and technology, from finding the minimal energy of systems in Physics or Chemistry to finding optimal routes in logistics or optimal strategies for high speed…

神经与进化计算 · 计算机科学 2025-08-20 Yury Chernyak , Ijaz Ahamed Mohammad , Nikolas Masnicak , Matej Pivoluska , Martin Plesch

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

图像与视频处理 · 电气工程与系统科学 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

The use of deep learning methods for modeling fluid flow has drawn a lot of attention in the past few years. In situations where conventional numerical approaches can be computationally expensive, these techniques have shown promise in…

This paper proposes a physics-guided recurrent neural network model (PGRNN) that combines RNNs and physics-based models to leverage their complementary strengths and improve the modeling of physical processes. Specifically, we show that a…

Topology optimization by optimally distributing materials in a given domain requires non-gradient optimizers to solve highly complicated problems. However, with hundreds of design variables or more involved, solving such problems would…

计算工程、金融与科学 · 计算机科学 2022-01-27 Changyu Deng , Yizhou Wang , Can Qin , Yun Fu , Wei Lu

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…

系统与控制 · 电气工程与系统科学 2024-05-03 Xiaoyu Ge , Javad Khazaei

Optimal well placement and well injection-production are crucial for the reservoir development to maximize the financial profits during the project lifetime. Meta-heuristic algorithms have showed good performance in solving complex,…

神经与进化计算 · 计算机科学 2022-12-16 Guodong Chen , Xin Luo , Jimmy Jiu Jiao , Xiaoming Xue

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…

硬件体系结构 · 计算机科学 2021-10-28 Vidya A. Chhabria , Sachin S. Sapatnekar

This paper describes a method combining Bayesian optimization (BO) and a lamped-capacitance thermal circuit network model that is effective for speeding up the thermal design optimization of an electronic circuit board layout with transient…

应用物理 · 物理学 2022-11-16 Daiki Otaki , Hirofumi Nonaka , Noboru Yamada

In context of laser powder bed fusion (L-PBF), it is known that the properties of the final fabricated product highly depend on the temperature distribution and its gradient over the manufacturing plate. In this paper, we propose a novel…

人工智能 · 计算机科学 2023-01-31 Ashkan Mansouri Yarahmadi , Michael Breuß , Carsten Hartmann