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The study of first-order optimization algorithms (FOA) typically starts with assumptions on the objective functions, most commonly smoothness and strong convexity. These metrics are used to tune the hyperparameters of FOA. We introduce a…

机器学习 · 计算机科学 2024-05-30 Charles Guille-Escuret , Baptiste Goujaud , Manuela Girotti , Ioannis Mitliagkas

Bayesian Optimization (BO) is a surrogate-assisted global optimization technique that has been successfully applied in various fields, e.g., automated machine learning and design optimization. Built upon a so-called infill-criterion and…

神经与进化计算 · 计算机科学 2020-07-03 Elena Raponi , Hao Wang , Mariusz Bujny , Simonetta Boria , Carola Doerr

Genetic Algorithm (GA) has been used in this paper for a new approach of sub-optimal model reduction in the Nyquist plane and optimal time domain tuning of PID and fractional order (FO) PI{\lambda}D{\mu} controllers. Simulation studies show…

系统与控制 · 计算机科学 2012-02-28 Saptarshi Das , Indranil Pan , Shantanu Das , Amitava Gupta

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

流体动力学 · 物理学 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

We obtain an analytical solution for the time-optimal control problem in the induction phase of anesthesia. Our solution is shown to align numerically with the results obtained from the conventional shooting method. The induction phase of…

最优化与控制 · 数学 2023-09-12 Mohamed A. Zaitri , Cristiana J. Silva , Delfim F. M. Torres

This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form $(\mathcal{L} f)(x) = \int_{R^d}a(x,\xi) e^{2\pi \i \Phi(x,\xi)}\hat{f}(\xi) d\xi$, where $\Phi(x,\xi)$ is a phase…

数值分析 · 数学 2016-01-21 Yingzhou Li , Haizhao Yang , Lexing Ying

In order to gather information more efficiently, wireless sensor networks (WSNs) are partitioned into clusters. Most proposed clustering algorithms do not consider the location of the base station. This situation causes hot spot problems in…

网络与互联网体系结构 · 计算机科学 2013-01-08 vaibhav Godbole

A high fidelity fluid-structure interaction simulation may require many days to run, on hundreds of cores. This poses a serious burden, both in terms of time and economic considerations, when repetitions of such simulations may be required…

计算工程、金融与科学 · 计算机科学 2021-04-12 Wensi Wu , Christophe Bonneville , Christopher J. Earls

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

Most real-world optimization problems often come with multiple global optima or local optima. Therefore, increasing niching metaheuristic algorithms, which devote to finding multiple optima in a single run, are developed to solve these…

神经与进化计算 · 计算机科学 2019-07-08 Bing Zeng , Xinyu Li , Liang Gao , Yuyan Zhang , Haozhen Dong

In order to gather information more efficiently, wireless sensor networks are partitioned into clusters. The most of the proposed clustering algorithms do not consider the location of the base station. This situation causes hot spots…

网络与互联网体系结构 · 计算机科学 2013-01-17 Vaibhav Godbole

Objective: The surgical resection of brain areas with high rates of visually identified high frequency oscillations (HFOs) on EEG has been correlated with improved seizure control. However, it can be difficult to distinguish normal from…

神经元与认知 · 定量生物学 2013-09-05 David Hsu , Murielle Hsu , Heidi L. Grabenstatter , Gregory A. Worrell , Thomas P. Sutula

Variable division and optimization (D\&O) is a frequently utilized algorithm design paradigm in Evolutionary Algorithms (EAs). A D\&O EA divides a variable into partial variables and then optimize them respectively. A complicated problem is…

神经与进化计算 · 计算机科学 2021-01-22 Yi Chen , Aimin Zhou

Modern optimisation algorithms are often metaheuristic, and they are very promising in solving NP-hard optimization problems. In this paper, we show how to use the recently developed Firefly Algorithm to solve nonlinear design problems. For…

最优化与控制 · 数学 2012-03-30 Xin-She Yang

Accurate parameter identification in photovoltaic (PV) models is crucial for performance evaluation but remains challenging due to their nonlinear, multimodal, and high-dimensional nature. Although the Dung Beetle Optimization (DBO)…

神经与进化计算 · 计算机科学 2025-08-12 Yiwei Li , Zhihua Allen-Zhao , Yuncheng Xu , Sanyang Liu

Modeling human operator's dynamic plays a very important role in the manual closed-loop control system, and it is an active research area for several decades. Based on the characteristics of human brain and behaviour, a new kind of…

系统与控制 · 计算机科学 2016-01-11 Jiacai Huang , Yangquan Chen , Haibin Li , Xinxin Shi

Solving partial differential equations (PDEs) efficiently is essential for analyzing complex physical systems. Recent advancements in leveraging deep learning for solving PDE have shown significant promise. However, machine learning…

机器学习 · 计算机科学 2024-02-16 Ruichen Li , Chuwei Wang , Haotian Ye , Di He , Liwei Wang

Neural operator surrogates for time-dependent partial differential equations (PDEs) conventionally employ autoregressive prediction schemes, which accumulate error over long rollouts and require uniform temporal discretization. We introduce…

机器学习 · 计算机科学 2025-12-08 Xianglong Hou , Xinquan Huang , Paris Perdikaris

There is a class of physical filtration processes where the input is adequately modeled by a continuous periodic function f (x) of bounded variation over its period, and the output depends only on certain harmonics of the Fourier expansion…

综合数学 · 数学 2024-12-17 Vladimir Sluchak

Proportional - Integral - Derivative (PID) Controller is a primary component in industrial control systems nowadays. Its gain parameters have a powerful effect on its transient response criteria such as integral squared error (ISE),…

系统与控制 · 计算机科学 2017-10-11 Mohamed Issa , Abou Ella Hassanien , Ahmed Abd Elbaset