Deceptive and Other Functions of Unitation as Bayesian Networks

Deceptive and other functions of unitation have been considered in order to understand which fitness functions are hard and which are easy for genetic algorithms to optimize. This paper focuses on genetic algorithm fitness functions represented as Bayesian networks. We investigate onemax, trap, and hill functions of unitation when converted into Bayesian networks. Among other things, this paper shows that Bayesian networks can be deceptive.

[1]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[2]  D. E. Goldberg,et al.  Simple Genetic Algorithms and the Minimal, Deceptive Problem , 1987 .

[3]  Mark A. Kramer,et al.  GALGO: A Genetic ALGOrithm Decision Support Tool for Complex Uncertain Systems Modeled with Bayesian Belief Networks , 1993, UAI.

[4]  David C. Wilkins,et al.  Genetic Algorithms for Belief Network Inference: The Role of Scaling and Niching , 1998, Evolutionary Programming.

[5]  David H. Ackley,et al.  An empirical study of bit vector function optimization , 1987 .

[6]  Thomas Bäck,et al.  Evolutionary Algorithms in Theory and Practice , 1996 .

[7]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[8]  Richard Scheines,et al.  TETRAD II : tools for causal modeling , 1994 .

[9]  David E. Goldberg,et al.  Genetic Algorithms and Walsh Functions: Part I, A Gentle Introduction , 1989, Complex Syst..

[10]  Ole J. Mengshoel Belief Network Inference in Dynamic Environments , 1997, AAAI/IAAI.

[11]  Kalyanmoy Deb,et al.  Analyzing Deception in Trap Functions , 1992, FOGA.

[12]  David C. Wilkins,et al.  Abstraction for Belief Revision: Using a Genetic Algorithm to Compute the Most Probable Explanation , 1998 .

[13]  Lawrence Davis,et al.  Genetic Algorithms and Simulated Annealing , 1987 .

[14]  Mark A. Kramer,et al.  An Evolutionary Computing Approach to Probabilistic Reasoning on Bayesian Networks , 1996, Evolutionary Computation.

[15]  Marek J. Druzdzel,et al.  Some Properties of joint Probability Distributions , 1994, UAI.

[16]  Robert L. Welch,et al.  Real Time Estimation of Bayesian Networks , 1996, UAI.

[17]  John J. Grefenstette,et al.  Deception Considered Harmful , 1992, FOGA.