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DEPARTMENT OF ELECTRONICS AND INFORMATION
 http:/www.dei.polimi.it

 AIRLab Artificial Intelligence and Robotics Laboratory
 http:/www.airlab.elet.polimi.it




An Information Geometry Perspective
on Estimation of Distribution
Algorithms: Boundary Analysis
Luigi Malagò, Matteo Matteucci, Bernardo Dal Seno

OBUPM 2008, July 13
GECCO’08, Atlanta, Georgia, USA
Agenda

   Motivations and Context
   Estimation of Distribution Algorithms (EDAs)
   Notions of Information Geometry (IG)
   Different parametrization for a statistical manifold
   Interpretation of the behavior of an EDA
   Simple examples
   Conclusions and future work




                          L. Malagò, OBUPM 2008
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis
An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis

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An-Information-Geometry-Perspective-on-Estimation-of-Distribution-Algorithms:-Boundary-Analysis

  • 1. DEPARTMENT OF ELECTRONICS AND INFORMATION http:/www.dei.polimi.it AIRLab Artificial Intelligence and Robotics Laboratory http:/www.airlab.elet.polimi.it An Information Geometry Perspective on Estimation of Distribution Algorithms: Boundary Analysis Luigi Malagò, Matteo Matteucci, Bernardo Dal Seno OBUPM 2008, July 13 GECCO’08, Atlanta, Georgia, USA
  • 2. Agenda  Motivations and Context  Estimation of Distribution Algorithms (EDAs)  Notions of Information Geometry (IG)  Different parametrization for a statistical manifold  Interpretation of the behavior of an EDA  Simple examples  Conclusions and future work L. Malagò, OBUPM 2008