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In fitting data with a spline, finding the optimal placement of knots can significantly improve the quality of the fit. However, the challenging high-dimensional and non-convex optimization problem associated with completely free knot…

统计计算 · 统计学 2020-07-28 Soumya D. Mohanty , Ethan Fahnestock

Particle swarm optimization (PSO) is a well-known optimization algorithm that shows good performance in solving different optimization problems. However, PSO usually suffers from slow convergence. In this article, a reinforcement…

神经与进化计算 · 计算机科学 2023-04-05 Yin ShiYuan

This paper examines the coincidence of neural networks with numerical methods for solving spatiotemporal physical problems. Neural networks are used to learn predictive numerical models from trajectory datasets from two well understood 1D…

计算物理 · 物理学 2019-09-19 Alejandro Francisco Queiruga

The recent advancements in deep learning have allowed for numerous applications in computed tomography (CT), with potential to improve diagnostic accuracy, speed of interpretation, and clinical efficiency. However, the deep learning…

计算机视觉与模式识别 · 计算机科学 2018-12-04 Hyunkwang Lee , Myeongchan Kim , Synho Do

This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. Firstly, the second-order two-scale (SOTS) solutions for these…

数值分析 · 数学 2017-12-08 Hao Dong , Junzhi Cui , Yufeng Nie , Zihao Yang

This paper proposes a new topology optimization method that applies a convolutional neural network (CNN), which is one deep learning technique for topology optimization problems. Using this method, we acquire a structure with a little…

机器学习 · 计算机科学 2020-01-06 Yusuke Takahashi , Yoshiro Suzuki , Akira Todoroki

Physics-based simulations are often used to model and understand complex physical systems and processes in domains like fluid dynamics. Such simulations, although used frequently, have many limitations which could arise either due to the…

机器学习 · 计算机科学 2019-11-12 Nikhil Muralidhar , Jie Bu , Ze Cao , Long He , Naren Ramakrishnan , Danesh Tafti , Anuj Karpatne

Price-based demand response (DR) of heating, ventilating, and air-conditioning (HVAC) systems is a challenging task, requiring comprehensive models to represent the building thermal dynamics and game theoretic interactions among…

系统与控制 · 电气工程与系统科学 2020-12-15 Youngjin Kim

Accurately simulating systems governed by PDEs, such as voltage fields in cardiac electrophysiology (EP) modelling, remains a significant modelling challenge. Traditional numerical solvers are computationally expensive and sensitive to…

机器学习 · 计算机科学 2026-04-22 Hannah Lydon , Milad Kazemi , Martin Bishop , Nicola Paoletti

Combinatorial optimization (CO) problems arise across a broad spectrum of domains, including medicine, logistics, and manufacturing. While exact solutions are often computationally infeasible, many practical applications require…

机器学习 · 计算机科学 2025-05-27 Arman Mielke , Uwe Bauknecht , Thilo Strauss , Mathias Niepert

Estimating the material properties of thermal protection films is crucial for their effective design and application, particularly in high-temperature environments. This work presents a novel approach to determine the properties using…

计算工程、金融与科学 · 计算机科学 2025-01-22 Karthik Reddy Lyathakula

In this paper, we compute numerical approximations of the minimal surfaces, an essential type of Partial Differential Equation (PDE), in higher dimensions. Classical methods cannot handle it in this case because of the Curse of…

偏微分方程分析 · 数学 2023-09-08 Steven Zhou , Xiaojing Ye

Nature-inspired swarm-based algorithms have been widely applied to tackle high-dimensional and complex optimization problems across many disciplines. They are general purpose optimization algorithms, easy to use and implement, flexible and…

最优化与控制 · 数学 2021-03-23 Kwok Pui Choi , Enzio Hai Hong Kam , Tze Leung Lai , Xin T. Tong , Weng Kee Wong

This work introduces a new approach for accelerating the numerical analysis of time-domain partial differential equations (PDEs) governing complex physical systems. The methodology is based on a combination of a classical reduced-order…

机器学习 · 计算机科学 2024-06-06 Victor Matray , Faisal Amlani , Frédéric Feyel , David Néron

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

计算工程、金融与科学 · 计算机科学 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

This paper proposes the application of particle swarm optimization (PSO) to the problem of finite element model (FEM) selection. This problem arises when a choice of the best model for a system has to be made from set of competing models,…

人工智能 · 计算机科学 2009-10-13 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

Business optimization is becoming increasingly important because all business activities aim to maximize the profit and performance of products and services, under limited resources and appropriate constraints. Recent developments in…

最优化与控制 · 数学 2012-03-30 Xin-She Yang , Suash Deb , Simon Fong

Particle swarm optimization (PSO) is an iterative search method that moves a set of candidate solution around a search-space towards the best known global and local solutions with randomized step lengths. PSO frequently accelerates…

神经与进化计算 · 计算机科学 2021-02-25 Johannes Jakubik , Adrian Binding , Stefan Feuerriegel

The large thermal capacity of buildings enables heating, ventilating, and air-conditioning (HVAC) systems to be exploited as demand response (DR) resources. Optimal DR of HVAC units is challenging, particularly for multi-zone buildings,…

机器学习 · 计算机科学 2019-05-01 Youngjin Kim

The aim of this research is to design a PID Controller using particle swarm optimization (PSO) algorithm for multiple-input multiple output (MIMO) Takagi-Sugeno fuzzy model. The conventional gain tuning of PID controller (such as…

系统与控制 · 计算机科学 2013-06-27 Adel Taeib , Ali Ltaeif , Abdelkader Chaari