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arXiv 2302.00155cs.NEcs.AI
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如何证明粒子群优化的超参数优化值?

How to Prove the Optimized Values of Hyperparameters for Particle Swarm Optimization?

Chunghwa Telecom Co., Ltd.(中华电信股份有限公司)

Abel C. H. Chen

AI总结:

本研究提出一种基于数学模型的解析框架,以确定粒子群优化中超参数的最优值,实验证明该方法能提高收敛效率并降低平均适应度函数值。

摘要:

近年来,已提出多种群体智能优化算法用于解决各种优化问题。然而,若干超参数的值需要确定。例如,尽管粒子群优化(PSO)已应用于多个具有较高优化性能的应用中,但惯性速度的权重、粒子的最佳已知位置和群体的最佳已知位置仍需确定。因此,本研究提出了一个分析框架,基于数学模型分析多种适应度函数的优化平均适应度函数值(AFFV)。此外,对于最小值情况,可以通过较低的AFFV确定优化的超参数值。实验结果表明,所提出方法得到的超参数值能够获得更高的收敛效率和更低的AFFV。

英文摘要:

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 Particle Swarm Optimization (PSO) has been applied for several applications with higher optimization performance, the weights of inertial velocity, the particle's best known position and the swarm's best known position should be determined. Therefore, this study proposes an analytic framework to analyze the optimized average-fitness-function-value (AFFV) based on mathematical models for a variety of fitness functions. Furthermore, the optimized hyperparameter values could be determined with a lower AFFV for minimum cases. Experimental results show that the hyperparameter values from the proposed method can obtain higher efficiency convergences and lower AFFVs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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