Efficient Optimization Algorithm of Uniform ExperimentDesign on High Dimension Irregular Region

碩士 === 國立臺灣大學 === 數學研究所 === 99 === In experiment designs, irregular shapes of experimental regions are often observed. Using a recently proposed discrepancy measurement Central Composite Discrepancy as uniformity criterion, we propose a Discrete Particle Swarm Optimization algorithm for optimizing...

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Bibliographic Details
Main Authors: Yen-Wen Hsu, 許彥文
Other Authors: 王偉仲
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/61490869836617076037
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 99 === In experiment designs, irregular shapes of experimental regions are often observed. Using a recently proposed discrepancy measurement Central Composite Discrepancy as uniformity criterion, we propose a Discrete Particle Swarm Optimization algorithm for optimizing experimental designs on the general input domains. Numerical results show evidences that the new proposed algorithm is superior to other optimization algorithm in established literature. For the high computation cost of computing Central Composite Discrepancy on higher dimensions, using Graphic Processing Unit for acceleration enable us to find uniform design on higher dimensions in reasonable time.