Abstract
Genetic algorithms generally use a fixed problem representation that maps variables of the search space to variables of the problem, and operators of variation that are fixed over time. This limits their scalability on non-separable problems. To address this issue, methods have been proposed that coevolve explicitly represented modules. An open question is how modules in such coevolutionary setups should be evaluated.
Recently, Pareto-coevolution has provided a theoretical basis for evaluation in coevolution. We define a notion of functional modularity, and objectives for module evaluation based on Pareto-Coevolution. It is shown that optimization of these objectives maximizes functional modularity. The resulting evaluation method is developed into an algorithm for variable length, open ended development of representations called DevRep. DevRep successfully identifies large partial solutions and greatly outperforms fixed length and variable length genetic algorithms on several test problems, including the 1024-bit Hierarchical-XOR problem.
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References
Peter J. Angeline and Jordan B. Pollack. Coevolving high-level representations. In Christopher G. Langton, editor, Artificial Life III, volume XVII of SFI Studies in the Sciences of Complexity, pages 55–71, Redwood City, CA, 1994. Addison-Wesley.
Anthony Bucci and Jordan B. Pollack. Order-theoretic analysis of coevolution problems: Coevolutionary statics. In Proceedings of the GECCO-2002 Workshop on Coevolution: Understanding Coevolution, 2002.
Edwin D. De Jong and Tim Oates. A coevolutionary approach to representation development. In E.D. de Jong and T. Oates, editors, Proceedings of the ICML-2002 Workshop on Development of Representations, Sydney NSW 2052, 2002. The University of New South Wales. Online proceedings: http://www.demo.cs.brandeis.edu/icml02ws.
Edwin D. De Jong and Jordan B. Pollack. Learning the ideal evaluation function. In Proceedings of the Genetic and Evolutionary Computation Conference, GECCO-2003, 2003.
Kalyanmoy Deb. Multi-Objective Optimization Using Evolutionary Algorithms. Wiley & Sons, New York, NY, 2001.
Sevan G. Ficici and Jordan B. Pollack. Pareto optimality in coevolutionary learning. In Jozef Kelemen, editor, Sixth European Conference on Artificial Life, Berlin, 2001. Springer.
Frederic Gruau. Neural Network Synthesis Using Cellular Encoding and the Genetic Algorithm. PhD thesis, PhD Thesis, Ecole Normale Supérieure de Lyon, 1994.
John R. Koza. Genetic Programming II: Automatic Discovery of Reusable Programs. The MIT Press, Cambridge, MA, May 1994.
Samir W. Mahfoud. Niching Methods for Genetic Algorithms. PhD thesis, University of Illinois at Urbana-Champaign, Urbana, IL, May 1995. IlliGAL Report 95001.
Martin Pelikan and David E. Goldberg. Escaping hierarchical traps with competent genetic algorithms. In L. Spector, E.D. Goodman, A. Wu, W. B. Langdon, H.-M. Voigt, M. Gen, S. Sen, M. Dorigo, S. Pezeshk, M. H. Garzon, and E. Burke, editors, Proceedings of the Genetic and Evolutionary Computation Conference, GECCO-2001, pages 511–518, San Francisco, CA, 2001. Morgan Kaufmann.
Mitchell A. Potter and Kenneth A. De Jong. Cooperative coevolution: An architecture for evolving coadapted subcomponents. Evolutionary Computation, 8(1):1–29, 2000.
Justinian P. Rosca and Dana H. Ballard. Discovery of subroutines in genetic programming. In P.J. Angeline and K. E. Kinnear, Jr., editors, Advances in Genetic Programming 2, chapter 9, pages 177–202. The MIT Press, Cambridge, MA, 1996.
J. David Schaffer. Multiple objective optimization with vector evaluated genetic algorithms. In John J. Grefenstette, editor, Proceedings of the First International Conference on Genetic Algorithms and their Applications, pages 93–100, Hillsdale, NJ, 1985. Lawrence Erlbaum Associates.
Dirk Thierens. Scalability problems of simple genetic algorithms. Evolutionary Computation, 7(4):331–352, 1999.
Kagan Tumer and David Wolpert. Collective intelligence and Braess’ paradox. In Proceedings of the 7th Conference on Artificial Intelligence (AAAI-00) and of the 12th Conference on Innovative Applications of Artificial Intelligence (IAAI-00), pages 104–109, Menlo Park, CA, 2000. AAAI Press.
Richard A. Watson. Compositional Evolution: Interdisciplinary Investigations in Evolvability, Modularity, and Symbiosis. PhD thesis, Brandeis University, 2002.
Richard A. Watson. Modular interdependency in complex dynamical systems. In Bilotta et al., editor, Workshop Proceedings of the 8th International Conference on the Simulation and Synthesis of Living Systems. UNSW Australia, 2003.
Richard A. Watson, Gregory S. Hornby, and Jordan B. Pollack. Modeling building-block interdependency. In A.E. Eiben, Th. Bäck, M. Schoenauer, and H.-P. Schwefel, editors, Parallel Problem Solving from Nature, PPSN-V., volume 1498 of LNCS, pages 97–106, Berlin, 1998. Springer.
Richard A. Watson and Jordan B. Pollack. Symbiotic combination as an alternative to sexual recombination in genetic algorithms. In M. Schoenauer, K. Deb, G. Rudolph, X. Yao, E. Lutton, J. Julian Merelo, and H.-P. Schwefel, editors, Parallel Problem Solving from Nature, PPSN-VI, volume 1917 of LNCS, Berlin, 2000. Springer.
Richard A. Watson and Jordan B. Pollack. A computational model of symbiotic composition in evolutionary transitions. Biosystems, 69(2–3):187–209, May 2003. Special Issue on Evolvability, ed. Nehaniv.
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de Jong, E.D. (2003). Representation Development from Pareto-Coevolution. In: Cantú-Paz, E., et al. Genetic and Evolutionary Computation — GECCO 2003. GECCO 2003. Lecture Notes in Computer Science, vol 2723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45105-6_33
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DOI: https://doi.org/10.1007/3-540-45105-6_33
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