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In this work, we propose a generalized alternating nonlinear generalized minimal residual method (GA-NGMRES) to accelerate first-order optimization schemes for PDE-constrained optimization problems governed by transport equations. We apply…

最优化与控制 · 数学 2025-10-13 Yunhui He , Andreas Mang

We propose a new method in which a generative network (GN) integrate into a reduced-order model (ROM) framework is used to solve inverse problems for partial differential equations (PDE). The aim is to match available measurements and…

机器学习 · 计算机科学 2025-06-17 Vinicius L. S. Silva , Claire E. Heaney , Nenko Nenov , Christopher C. Pain

In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms. In the offline stage, we generate snapshots and construct…

数值分析 · 数学 2023-01-24 Fleurianne Bertrand , Daniele Boffi , Abdul Halim

This study is focused on applying genetic algorithms (GA) to model and band selection in hyperspectral image classification. We use a forensic-inspired data set of seven hyperspectral images with blood and five visually similar substances…

计算机视觉与模式识别 · 计算机科学 2020-11-05 Filip Pałka , Wojciech Książek , Paweł Pławiak , Michał Romaszewski , Kamil Książek

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

机器人学 · 计算机科学 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

We propose reduced order methods as a suitable approach to face parametrized optimal control problems governed by partial differential equations, with applications in en- vironmental marine sciences and engineering. Environmental…

数值分析 · 数学 2023-08-08 Maria Strazzullo , Francesco Ballarin , Renzo Mosetti , Gianluigi Rozza

An adaptive scheme to generate reduced-order models for parametric nonlinear dynamical systems is proposed. It aims to automatize the POD-Greedy algorithm combined with empirical interpolation. At each iteration, it is able to adaptively…

数值分析 · 数学 2021-10-13 Sridhar Chellappa , Lihong Feng , Peter Benner

Gaussian processes (GPs) are generally regarded as the gold standard surrogate model for emulating computationally expensive computer-based simulators. However, the problem of training GPs as accurately as possible with a minimum number of…

统计方法学 · 统计学 2024-11-26 Hossein Mohammadi , Peter Challenor

In recent years, graph neural networks (GNNs) have gained increasing attention, as they possess the excellent capability of processing graph-related problems. In practice, hyperparameter optimisation (HPO) is critical for GNNs to achieve…

机器学习 · 计算机科学 2021-04-29 Yingfang Yuan , Wenjun Wang , Wei Pang

This paper examines the Evolutionary programming (EP) method for optimizing PID parameters. PID is the most common type of regulator within control theory, partly because it's relatively simple and yields stable results for most…

神经与进化计算 · 计算机科学 2017-09-28 Adam Nyberg

Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

神经与进化计算 · 计算机科学 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

This paper presents a new Proportional-Integral-Derivative-Accelerated (PIDA) control with a derivative filter to improve quadcopter flight stability in a noisy environment. The mathematical model is derived from having an accurate model…

机器人学 · 计算机科学 2022-04-08 Seid Miad Zandavi , Vera Chung , Ali Anaissi

In our previous work, a reduced order model (ROM) for a stochastic system was made, where noisy data was projected onto principal component analysis (PCA)-derived basis vectors to obtain an accurate reconstruction of the noise-free data.…

数值分析 · 数学 2017-02-07 Indika Udagedara , Brian Helenbrook , Aaron Luttman , Jared Catenacci

Traditional stereo matching algorithms like Semi-Global Block Matching (SGBM) with Weighted Least Squares (WLS) filtering offer speed advantages over neural networks for UAV applications, generating disparity maps in approximately 0.5…

计算机视觉与模式识别 · 计算机科学 2025-12-08 Yida Lin , Bing Xue , Mengjie Zhang , Sam Schofield , Richard Green

With the growing size of pre-trained models, full fine-tuning and storing all the parameters for various downstream tasks is costly and infeasible. In this paper, we propose a new parameter-efficient fine-tuning method, Gradient-based…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Zhi Zhang , Qizhe Zhang , Zijun Gao , Renrui Zhang , Ekaterina Shutova , Shiji Zhou , Shanghang Zhang

This note presents a simple and effective variation of genetic algorithm (GA) for solving RCPSP, denoted as 2-Phase Genetic Algorithm (2PGA). The 2PGA implements GA parent selection in two phases: Phase-1 includes the best current solutions…

神经与进化计算 · 计算机科学 2025-09-04 D. Sun , S. Zhou

This paper proposes a hybrid Gaussian process (GP) approach to robust economic model predictive control under unknown future disturbances in order to reduce the conservatism of the controller. The proposed hybrid GP is a combination of two…

系统与控制 · 电气工程与系统科学 2020-01-08 Mohammadreza Rostam , Ryozo Nagamune , Vladimir Grebenyuk

In some of the complicated control problems we have to use the controllers that apply nonlocal operators to the error signal to generate the control. Currently, the most famous controller with nonlocal operators is the fractional-order PID…

最优化与控制 · 数学 2014-05-02 Farshad Merrikh-Bayat , Seyedeh-Nafiseh Mirebrahimi , Mohammad-Reza Khalili

Context. Mathematical optimization can be used as a computational tool to obtain the optimal solution to a given problem in a systematic and efficient way. For example, in twice-differentiable functions and problems with no constraints, the…

天体物理仪器与方法 · 物理学 2009-05-25 J. Canto , S. Curiel , E. Martinez-Gomez

Gaussian process (GP) regression is a popular surrogate modeling tool for computer simulations in engineering and scientific domains. However, it often struggles with high computational costs and low prediction accuracy when the simulation…

机器学习 · 计算机科学 2025-02-25 Lulu Kang , Minshen Xu