Multi-Scale Quantum Harmonic Oscillator for High-Dimensional Function Global Optimization Algorithm

WANG Peng; HUANG Yan; REN Chao; GUO You-ming

doi:10.3969/j.issn.0372-2112.2013.12.023

您当前的位置：

首页 >

文章列表页 >

Multi-Scale Quantum Harmonic Oscillator for High-Dimensional Function Global Optimization Algorithm

更新时间：2025-07-16

- Multi-Scale Quantum Harmonic Oscillator for High-Dimensional Function Global Optimization Algorithm
- Acta Electronica Sinica Vol. 41, Issue 12, Pages: 2468-2473(2013)
- 作者机构：
  
  1. 成都信息工程学院并行计算实验室,四川,成都,610225
  2. 中国科学院成都计算机应用研究所,四川,成都,610041
  3. 中国科学院大学,北京,100049
  4. 成都信息工程学院并行计算实验室,四川,成都,610225
  5. 中国科学院成都计算机应用研究所,四川,成都,610041
  6. 中国科学院大学,北京,100049
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.60702075);High-tech Industrialization of Science and Technology Research and Development Project of Science and Technology Department of Guangdong Province (No.2011B010200007);Sichuan Youth Science Foundation (No.09ZQ026-068);Technology Innovation Research and Development Project of Chengdu Science and Technology Bureau (No.11RXYB016ZF)
- DOI：10.3969/j.issn.0372-2112.2013.12.023
  CLC： TP301.6
- Published：2013
- 稿件说明：
移动端阅览
WANG Peng, HUANG Yan, REN Chao, et al. Multi-Scale Quantum Harmonic Oscillator for High-Dimensional Function Global Optimization Algorithm[J]. Acta Electronica Sinica, 2013, 41(12): 2468-2473.
DOI：

WANG Peng, HUANG Yan, REN Chao, et al. Multi-Scale Quantum Harmonic Oscillator for High-Dimensional Function Global Optimization Algorithm[J]. Acta Electronica Sinica, 2013, 41(12): 2468-2473. DOI： 10.3969/j.issn.0372-2112.2013.12.023.

摘要

函数优化问题与量子谐振子从高能态向基态收敛过程具有相似的概率解释，结合基于高斯尺度函数的多尺度二进信息采样方法，提出了高维函数优化问题的多尺度量子谐振子算法模型，该算法模型将高维函数优化过程分为尺度收敛和量子谐振子收敛两个步骤，物理模型明确，无需编码和复杂的初始条件设定，即可实现高维函数优化.通过对15种典型二维优化测试函数和6种典型的高维优化测试函数进行实验和分析表明，多尺度量子谐振子算法可以快速精确地获得高维函数的全局最优解，同时采用降频方法可以提高对具有高频成分函数的搜索速度.

Abstract

With the multi-scale binary sampling methods on the basis of Gaussian scaling function

the model of multi-scale quantum harmonic oscillator algorithm for high-dimensional function global optimization problems is proposed.High-dimensional function optimization process is divided into two steps

scale convergence and quantum harmonic oscillator convergence.This algorithm model is based on the same convergence process probability interpretations between function optimization problem and quantum harmonic oscillator from high-energy state to ground state.This algorithm

which has explicit physical model

can realize high-dimensional function optimization without coding or complex initial conditions.Experiments and analysis are done for 15 typical two-dimensional optimized test functions and 6 typical high-dimensional optimized test functions.The results show that multi-scale quantum harmonic oscillator algorithm gets precise global optimum for high-dimensional function quickly

and with reduced frequencyapproach

the search speed of function with high frequency component improves significantly.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Research on Energy Level Stability Process and Criterion of MQHOA Optimization Algorithm

HMM Structure Optimization Based on Genetic Nonparametric MDL-BW Method

Cellular Genetic Algorithm for Multiobjective Optimization Based on Orthogonal Design

Differential Evolution Without the Scale Factor F

Fast Continuous Ant Colony Optimization Algorithm for Solving Function Optimization Problems

Related Author

ZHOU Yan

WANG Peng

XIN Gang

LI Bo

WANG De-zhi

XU Jia-wei

LUO Qian

SUN Li-li

Related Institution

School of Computer Science and Technology, Southwest Minzu University

School of Computer Science and Technology Southwest Minzu University Chengdu Sichuan China

College of Information and Communication Engineering, Beijing Information Science & Technology University

Key Laboratory of the Ministry of Education for Optoelectronic Measurement Technology and Instrument, Beijing Information Science & Technology University

College of Mechanical and Power Engineering, China Three Gorges University

⁰