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  • 标题:レプリカ交換型差分進化マルコフ連鎖による多峰性分布からの効率的なサンプリング
  • 作者:鳥山 直樹 ; 小野 景子
  • 期刊名称:進化計算学会論文誌
  • 电子版ISSN:2185-7385
  • 出版年度:2018
  • 卷号:9
  • 期号:2
  • 页码:32-40
  • DOI:10.11394/tjpnsec.9.32
  • 语种:Japanese
  • 出版社:The Japanese Society for Evolutionary Computation
  • 摘要:

    In this paper, we present an efficient sampling method for a multimodal and high-dimensional distribution. For sampling from a high-dimensional distribution, DE-MC, which is based on the Markov chain Monte Carlo(MCMC) methods, has been proposed. It showed good performance in sampling from any probability distribution based on constructing a Markov chain that has the desired distribution. However, DE-MC has inherent difficulties in sampling from a multimodal distribution. To overcome this problem, we incorporate a replica exchange method into DE-MC and propose a replica exchange resampling DE-MC method (reRDE-MC) based on sampling importance resampling to improve its performance. The proposed method is evaluated by using three types of distributions with multimodal and high dimensions as artificial data. We verified that the proposed method can sample from a multimodal and highdimensional distribution more effectively than by a conventional method. We then evaluated the proposed method by using financial data as actual data, and confirmed that the proposed method can capture the behavior of financial data.

  • 关键词:differential evolution;Markov chain Monte-Calro;replica exchange;GARCH model
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