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For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

机器学习 · 统计学 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

In this paper we provide a rigorous convergence analysis for the renowned particle swarm optimization method by using tools from stochastic calculus and the analysis of partial differential equations. Based on a time-continuous formulation…

数值分析 · 数学 2024-08-05 Hui Huang , Jinniao Qiu , Konstantin Riedl

The particle swarm optimization (PSO) algorithm has been recently introduced in the non--linear programming, becoming widely studied and used in a variety of applications. Starting from its original formulation, many variants for…

最优化与控制 · 数学 2020-04-15 Silvano Chiaradonna , Felicita Di Giandomenico , Nadir Murru

A particle swarm optimizer (PSO) loosely based on the phenomena of crystallization and a chaos factor which follows the complimentary error function is described. The method features three phases: diffusion, directed motion, and nucleation.…

神经与进化计算 · 计算机科学 2018-02-13 Casey Kneale , Karl S. Booksh

The periodic mode is analyzed together with two conventional boundary handling modes for particle swarm. By providing an infinite space that comprises periodic copies of original search space, it avoids possible disorganizing of particle…

神经与进化计算 · 计算机科学 2007-05-23 Wen-Jun Zhang , Xiao-Feng Xie , De-Chun Bi

In this paper we propose a Particle Swarm Optimization algorithm combined with Novelty Search. Novelty Search finds novel place to search in the search domain and then Particle Swarm Optimization rigorously searches that area for global…

神经与进化计算 · 计算机科学 2024-09-02 Mr. Rajesh Misra , Kumar S Ray

We propose a new methodology for parameterized constrained robust optimization, an important class of optimization problems under uncertainty, based on learning with a self-supervised penalty-based loss function. Whereas supervised learning…

最优化与控制 · 数学 2025-03-10 Wyame Benslimane , Paul Grigas

The standard approach to encoding constraints in quantum optimization is the quadratic penalty method. Quadratic penalties introduce additional couplings and energy scales, which can be detrimental to the performance of a quantum optimizer.…

量子物理 · 物理学 2024-12-17 Puya Mirkarimi , David C. Hoyle , Ross Williams , Nicholas Chancellor

In recent years, several swarm intelligence optimization algorithms have been proposed to be applied for solving a variety of optimization problems. However, the values of several hyperparameters should be determined. For instance, although…

神经与进化计算 · 计算机科学 2024-09-19 Abel C. H. Chen

In recent years, bilevel approaches have become very popular to efficiently estimate high-dimensional hyperparameters of machine learning models. However, to date, binary parameters are handled by continuous relaxation and rounding…

The primal-dual active set method is observed to be the limit of a sequence of penalty formulations. Using this perspective, we propose a penalty method that adaptively becomes the active set method as the residual of the iterate decreases.…

最优化与控制 · 数学 2022-01-10 Wietse M. Boon , Jan M. Nordbotten

This short paper presents a work on the design of low noise microwave amplifiers using particle swarm optimization (PSO) technique. Particle Swarm Optimization is used as a method that is applied to a single stage amplifier circuit to meet…

神经与进化计算 · 计算机科学 2012-08-31 Sadik Ulker

This paper presents a new optimal fuzzy approach based on particle swarm optimization evolutionary algorithm for controlling the servo actuating system. It is clear that attaining the maximum stability margin is the prominent goal in…

系统与控制 · 计算机科学 2018-09-13 Dev Patel , Li Jun Heng , Abesh Rahman , Deepika Bharti Singh

The alternating direction method of multipliers (ADMM) has been widely adopted in low-rank approximation and low-order model identification tasks; however, the performance of nonconvex ADMM is highly reliant on the choice of penalty…

最优化与控制 · 数学 2023-09-11 Qingyuan Liu , Zhengchao Huang , Hao Ye , Dexian Huang , Chao Shang

Velocity limit (VL) has been widely adopted in many variants of particle swarm optimization (PSO) to prevent particles from searching outside the solution space. Several adaptive VL strategies have been introduced with which the performance…

神经与进化计算 · 计算机科学 2023-08-03 Xinze Li , Kezhi Mao , Fanfan Lin , Xin Zhang

Adversarial machine learning concerns situations in which learners face attacks from active adversaries. Such scenarios arise in applications such as spam email filtering, malware detection and fake image generation, where security methods…

机器学习 · 计算机科学 2025-10-07 David Benfield , Stefano Coniglio , Phan Tu Vuong , Alain Zemkoho

General purpose optimization routines such as nlminb, optim (R) or nlmixed (SAS) are frequently used to estimate model parameters in nonstandard distributions. This paper presents Particle Swarm Optimization (PSO), as an alternative to many…

机器学习 · 统计学 2024-05-22 Sisi Shao , Junhyung Park , Weng Kee Wong

Particle Swarm Optimization (PSO) frequently suffers from premature convergence. This paper introduces a family of problem-informed diversity-enhancing strategies that manipulate the swarm's social and cognitive components. These include…

神经与进化计算 · 计算机科学 2026-05-26 Piotr Urbańczyk , Aleksandra Urbańczyk

Particle Swarm Optimization (PSO) is a meta-heuristic for continuous black-box optimization problems. In this paper we focus on the convergence of the particle swarm, i.e., the exploitation phase of the algorithm. We introduce a new…

最优化与控制 · 数学 2020-06-09 Bernd Bassimir , Alexander Raß , Rolf Wanka

Aligning generative models with human preference via RLHF typically suffers from overoptimization, where an imperfectly learned reward model can misguide the generative model to output undesired responses. We investigate this problem in a…

机器学习 · 计算机科学 2024-12-05 Zhihan Liu , Miao Lu , Shenao Zhang , Boyi Liu , Hongyi Guo , Yingxiang Yang , Jose Blanchet , Zhaoran Wang