A note on the population based incremental learning with infinite population size

In this paper, we study the dynamical properties of the population based incremental learning (PBIL) algorithm when it uses truncation, proportional, and Boltzmann selection schemas. The results show that if the population size tends to infinity, with any learning rate, the local optima of the function to be optimized are asymptotically stable fixed points of the PBIL.

• Type: Conference
• Year: 2005
• Where: CEC
• Authors: Reza Rastegar, Mohammad Reza Meybodi
• Keywords: Artificial Intelligence, Boltzmann Selection Schemas, CEC 2005, Population Based Incremental Learning, Stable Fixed Points