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Optimization by estimation of distribution with DEUM framework based on Markov random fields

  • Siddhartha Shakya
  • John McCall
Article

Abstract

This paper presents a Markov random field (MRF) approach to estimating and sampling the probability distribution in populations of solutions. The approach is used to define a class of algorithms under the general heading distribution estimation using Markov random fields (DEUM). DEUM is a subclass of estimation of distribution algorithms (EDAs) where interaction between solution variables is represented as an undirected graph and the joint probability of a solution is factorized as a Gibbs distribution derived from the structure of the graph. The focus of this paper will be on describing the three main characteristics of DEUM framework, which distinguishes it from the traditional EDA. They are: 1) use of MRF models, 2) fitness modeling approach to estimating the parameter of the model and 3) Monte Carlo approach to sampling from the model.

Keywords

Estimation of distribution algorithms evolutionary algorthms fitness modeling Markov random fields Gibbs distribution 

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Copyright information

© Institute of Automation, Chinese Academy of Sciences 2007

Authors and Affiliations

  1. 1.Intelligent Systems Research CenterBritish TelicomIpswichUK
  2. 2.School of ComputingThe Robert Gordon UniversityAberdeenUK

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