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Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

神经与进化计算 · 计算机科学 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

In this paper, Lipschitz univariate constrained global optimization problems where both the objective function and constraints can be multiextremal are considered. The constrained problem is reduced to a discontinuous unconstrained problem…

最优化与控制 · 数学 2015-03-19 Yaroslav D. Sergeyev , Domenico Famularo , Paolo Pugliese

The increasing computational demands of modern neural networks present deployment challenges on resource-constrained devices. Network pruning offers a solution to reduce model size and computational cost while maintaining performance.…

机器学习 · 计算机科学 2024-03-13 Xiang Meng , Wenyu Chen , Riade Benbaki , Rahul Mazumder

Adaptive random search approaches have been shown to be effective for global optimization problems, where under certain conditions, the expected performance time increases only linearly with dimension. However, previous analyses assume that…

最优化与控制 · 数学 2022-03-22 David D. Linz , Zelda B. Zabinsky

We consider global optimization problems, where the feasible region $\X$ is a compact subset of $\mathbb{R}^d$ with $d \geq 10$. For these problems, we demonstrate the following. First: the actual convergence of global random search…

最优化与控制 · 数学 2023-02-27 Jack Noonan , Anatoly Zhigljavsky

We present two first-order, sequential optimization algorithms to solve constrained optimization problems. We consider a black-box setting with a priori unknown, non-convex objective and constraint functions that have Lipschitz continuous…

最优化与控制 · 数学 2020-11-19 Abraham P. Vinod , Arie Israel , Ufuk Topcu

This study proposes the "adaptive flip graph algorithm", which combines adaptive searches with the flip graph algorithm for finding fast and efficient methods for matrix multiplication. The adaptive flip graph algorithm addresses the…

符号计算 · 计算机科学 2024-03-19 Yamato Arai , Yuma Ichikawa , Koji Hukushima

We develop approximation algorithms for set-selection problems with deterministic constraints, but random objective values, i.e., stochastic probing problems. When the goal is to maximize the objective, approximation algorithms for probing…

数据结构与算法 · 计算机科学 2021-11-04 Weina Wang , Anupam Gupta , Jalani Williams

Automatic algorithms attempt to provide approximate solutions that differ from exact solutions by no more than a user-specified error tolerance. This paper describes an automatic, adaptive algorithm for approximating the solution to a…

数值分析 · 数学 2018-09-28 Yuhan Ding , Fred J. Hickernell , Lluís Antoni Jiménez Rugama

This paper presents a novel boundary-optimized fast Fourier extension algorithm for efficient approximation of non-periodic functions. The proposed methodology constructs periodic extensions through strategic utilization of boundary…

数值分析 · 数学 2025-08-27 Z. Y. Zhao , Y. F Wang , A. G. Yagola

Optimization is offered as an objective approach to resolving complex, real-world decisions involving uncertainty and conflicting interests. It drives business strategies as well as public policies and, increasingly, lies at the heart of…

人工智能 · 计算机科学 2023-08-01 Benjamin Laufer , Thomas Krendl Gilbert , Helen Nissenbaum

There is a recent surge of interest in nonconvex reformulations via low-rank factorization for stochastic convex semidefinite optimization problem in the purpose of efficiency and scalability. Compared with the original convex formulations,…

最优化与控制 · 数学 2018-02-27 Jinshan Zeng , Ke Ma , Yuan Yao

Federated Learning is a distributed learning paradigm with two key challenges that differentiate it from traditional distributed optimization: (1) significant variability in terms of the systems characteristics on each device in the network…

机器学习 · 计算机科学 2020-04-23 Tian Li , Anit Kumar Sahu , Manzil Zaheer , Maziar Sanjabi , Ameet Talwalkar , Virginia Smith

Optimisation algorithms are commonly compared on benchmarks to get insight into performance differences. However, it is not clear how closely benchmarks match the properties of real-world problems because these properties are largely…

神经与进化计算 · 计算机科学 2021-07-15 Koen van der Blom , Timo M. Deist , Vanessa Volz , Mariapia Marchi , Yusuke Nojima , Boris Naujoks , Akira Oyama , Tea Tušar

Multiobjective optimization is a hot topic in the artificial intelligence and operations research communities. The design and development of multiobjective methods is a frequent task for researchers and practitioners. As a result of this…

神经与进化计算 · 计算机科学 2024-01-19 Eneko Osaba , Josu Diaz-de-Arcaya , Juncal Alonso , Jesus L. Lobo , Gorka Benguria , Iñaki Etxaniz

Multi-objective evolutionary algorithms (MOEAs) have become essential tools for solving multi-objective optimization problems (MOPs), making their running time analysis crucial for assessing algorithmic efficiency and guiding practical…

神经与进化计算 · 计算机科学 2025-07-04 Han Huang , Tianyu Wang , Chaoda Peng , Tongli He , Zhifeng Hao

Evolutionary algorithms excel in solving complex optimization problems, especially those with multiple objectives. However, their stochastic nature can sometimes hinder rapid convergence to the global optima, particularly in scenarios…

神经与进化计算 · 计算机科学 2024-05-10 Zeyi Wang , Songbai Liu , Jianyong Chen , Kay Chen Tan

This paper considers minimax optimization $\min_x \max_y f(x, y)$ in the challenging setting where $f$ can be both nonconvex in $x$ and nonconcave in $y$. Though such optimization problems arise in many machine learning paradigms including…

机器学习 · 计算机科学 2021-06-04 Tanner Fiez , Chi Jin , Praneeth Netrapalli , Lillian J. Ratliff

This note describes a parameter-free implementation of Central Force Optimization for deterministic multidimensional search and optimization. The user supplies only one input: the objective function to be maximized, nothing more. The CFO…

其他计算机科学 · 计算机科学 2010-05-31 Richard A. Formato

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

机器学习 · 统计学 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen