메뉴 건너뛰기




Volumn 378, Issue 1, 2007, Pages 54-77

Fitness landscape of the cellular automata majority problem: View from the "Olympus"

Author keywords

AR models; Cellular automata; Correlation analysis; Fitness landscapes; Neutrality

Indexed keywords

COMPUTATIONAL COMPLEXITY; CORRELATION METHODS; GENETIC ALGORITHMS; HEURISTIC METHODS; PROBLEM SOLVING;

EID: 34247860700     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2007.01.001     Document Type: Article
Times cited : (28)

References (43)
  • 3
    • 11944265050 scopus 로고
    • No perfect two-state cellular automata for density classification exists
    • Land M., and Belew R.K. No perfect two-state cellular automata for density classification exists. Physical Review Letters 74 25 (1995) 5148-5150
    • (1995) Physical Review Letters , vol.74 , Issue.25 , pp. 5148-5150
    • Land, M.1    Belew, R.K.2
  • 4
    • 0002082980 scopus 로고
    • Revisiting the edge of chaos: Evolving cellular automata to perform computations
    • Mitchell M., Hraber P.T., and Crutchfield J.P. Revisiting the edge of chaos: Evolving cellular automata to perform computations. Complex Systems 7 (1993) 89-130
    • (1993) Complex Systems , vol.7 , pp. 89-130
    • Mitchell, M.1    Hraber, P.T.2    Crutchfield, J.P.3
  • 5
    • 43949158663 scopus 로고
    • Evolving cellular automata to perform computations: Mechanisms and impediments
    • Mitchell M., Crutchfield J.P., and Hraber P.T. Evolving cellular automata to perform computations: Mechanisms and impediments. Physica D 75 (1994) 361-391
    • (1994) Physica D , vol.75 , pp. 361-391
    • Mitchell, M.1    Crutchfield, J.P.2    Hraber, P.T.3
  • 6
    • 0030980017 scopus 로고    scopus 로고
    • The evolution of parallel cellular machines: Toward evolware
    • Sipper M. The evolution of parallel cellular machines: Toward evolware. BioSystems 42 (1997) 29-43
    • (1997) BioSystems , vol.42 , pp. 29-43
    • Sipper, M.1
  • 7
    • 0011276425 scopus 로고    scopus 로고
    • Discovery by genetic programming of a cellular automata rule that is better than any known rule for the majority classification problem
    • Koza J.R., Goldberg D.E., Fogel D.B., and Riolo R.L. (Eds), The MIT Press, Cambridge, MA
    • Andre D., Bennett III F.H., and Koza J.R. Discovery by genetic programming of a cellular automata rule that is better than any known rule for the majority classification problem. In: Koza J.R., Goldberg D.E., Fogel D.B., and Riolo R.L. (Eds). Genetic Programming 1996: Proceedings of the First Annual Conference (1996), The MIT Press, Cambridge, MA 3-11
    • (1996) Genetic Programming 1996: Proceedings of the First Annual Conference , pp. 3-11
    • Andre, D.1    Bennett III, F.H.2    Koza, J.R.3
  • 9
    • 32444435769 scopus 로고    scopus 로고
    • Using a genetic algorithm to evolve behavior in multi dimensional cellular automata: Emergence of behavior
    • Beyer H.-G., and O'Reilly U.-M. (Eds). GECCO 2005, Proceedings, ACM, Washington, DC, USA
    • Breukelaar R., and Bäck T. Using a genetic algorithm to evolve behavior in multi dimensional cellular automata: Emergence of behavior. In: Beyer H.-G., and O'Reilly U.-M. (Eds). Genetic and Evolutionary Computation Conference. GECCO 2005, Proceedings (2005), ACM, Washington, DC, USA 107-114
    • (2005) Genetic and Evolutionary Computation Conference , pp. 107-114
    • Breukelaar, R.1    Bäck, T.2
  • 11
    • 0001450667 scopus 로고    scopus 로고
    • Correlation analysis of the synchronizing-ca landscape
    • Hordijk W. Correlation analysis of the synchronizing-ca landscape. Physica D 107 (1997) 225-264
    • (1997) Physica D , vol.107 , pp. 225-264
    • Hordijk, W.1
  • 13
    • 0001436063 scopus 로고    scopus 로고
    • Two-state, r = 1 cellular automaton that classifies density
    • Capcarrère M.S., Sipper M., and Tomassini M. Two-state, r = 1 cellular automaton that classifies density. Physical Review Letters 77 24 (1996) 4969-4971
    • (1996) Physical Review Letters , vol.77 , Issue.24 , pp. 4969-4971
    • Capcarrère, M.S.1    Sipper, M.2    Tomassini, M.3
  • 14
    • 0000449497 scopus 로고    scopus 로고
    • Solution of the density classification problem with two cellular automata rules
    • Fukś H. Solution of the density classification problem with two cellular automata rules. Physical Review E 55 3 (1997) 2081-2084
    • (1997) Physical Review E , vol.55 , Issue.3 , pp. 2081-2084
    • Fukś, H.1
  • 15
    • 0001823266 scopus 로고
    • Adaptation toward the edge of chaos
    • Kelso J.A.S., Mandell A.J., and Shlesinger M.F. (Eds), World Scientific, Singapore
    • Packard N.H. Adaptation toward the edge of chaos. In: Kelso J.A.S., Mandell A.J., and Shlesinger M.F. (Eds). Dynamic Patterns in Complex Systems (1988), World Scientific, Singapore 293-301
    • (1988) Dynamic Patterns in Complex Systems , pp. 293-301
    • Packard, N.H.1
  • 16
    • 34247895399 scopus 로고    scopus 로고
    • J.E. Hanson, J.P. Crutchfield, Computational mechanics of cellular automata: An example, Tech. Rep. 95-10-95, Santa Fe Institute Working Paper, 1995
  • 17
    • 84878605258 scopus 로고    scopus 로고
    • Mechanisms of emergent computation in cellular automata
    • Parallel Problem Solving from Nature- PPSN V. Eiben A., Bäck T., Schoenauer M., and Schwefel H.-P. (Eds), Springer-Verlag, Heidelberg
    • Hordijk W., Crutchfield J.P., and Mitchell M. Mechanisms of emergent computation in cellular automata. In: Eiben A., Bäck T., Schoenauer M., and Schwefel H.-P. (Eds). Parallel Problem Solving from Nature- PPSN V. Lecture Notes in Computer Science vol. 1498 (1998), Springer-Verlag, Heidelberg 613-622
    • (1998) Lecture Notes in Computer Science , vol.1498 , pp. 613-622
    • Hordijk, W.1    Crutchfield, J.P.2    Mitchell, M.3
  • 18
    • 1642531209 scopus 로고    scopus 로고
    • Fitness landscapes
    • Biological Evolution and Statistical Physics. Lässig M., and Valleriani A. (Eds), Springer-Verlag, Heidelberg
    • Stadler P.F. Fitness landscapes. In: Lässig M., and Valleriani A. (Eds). Biological Evolution and Statistical Physics. Lecture Notes Physics vol. 585 (2002), Springer-Verlag, Heidelberg 187-207
    • (2002) Lecture Notes Physics , vol.585 , pp. 187-207
    • Stadler, P.F.1
  • 19
    • 34247887352 scopus 로고    scopus 로고
    • T. Jones, Evolutionary algorithms, fitness landscapes and search, Ph.D. Thesis, University of New Mexico, Albuquerque, 1995
  • 22
  • 24
    • 0034895529 scopus 로고    scopus 로고
    • Adaptative evolution on neutral networks
    • Wilke C.O. Adaptative evolution on neutral networks. Bulletin of Mathematical Biology 63 (2001) 715-730
    • (2001) Bulletin of Mathematical Biology , vol.63 , pp. 715-730
    • Wilke, C.O.1
  • 25
    • 0029791455 scopus 로고    scopus 로고
    • Exploring phenotype space through neutral evolution
    • Huynen M. Exploring phenotype space through neutral evolution. Journal of Molecular Evolution 43 (1996) 165-169
    • (1996) Journal of Molecular Evolution , vol.43 , pp. 165-169
    • Huynen, M.1
  • 27
    • 0346659780 scopus 로고    scopus 로고
    • Fitness distance correlation: An instructive counterexample
    • Back T. (Ed), Morgan Kaufmann
    • Altenberg L. Fitness distance correlation: An instructive counterexample. In: Back T. (Ed). Seventh International Conference on Genetic Algorithms (1997), Morgan Kaufmann 57-64
    • (1997) Seventh International Conference on Genetic Algorithms , pp. 57-64
    • Altenberg, L.1
  • 28
    • 84878618370 scopus 로고    scopus 로고
    • Fitness distance correlation and ridge functions
    • Fifth Conference on Parallel Problems Solving from Nature. Eiben A.E., et al. (Ed). PPSN'98, Springer-Verlag, Heidelberg
    • Quick R., Rayward-Smith V., and Smith G. Fitness distance correlation and ridge functions. In: Eiben A.E., et al. (Ed). Fifth Conference on Parallel Problems Solving from Nature. PPSN'98. Lecture Notes in Computer Science vol. 1498 (1998), Springer-Verlag, Heidelberg 77-86
    • (1998) Lecture Notes in Computer Science , vol.1498 , pp. 77-86
    • Quick, R.1    Rayward-Smith, V.2    Smith, G.3
  • 29
    • 84901467597 scopus 로고    scopus 로고
    • Ga-hard functions built by combination of trap functions
    • Fogel D.B., El-Sharkawi M.A., Yao X., Greenwood G., Iba H., Marrow P., and Shackleton M. (Eds), IEEE Press
    • Clergue M., and Collard P. Ga-hard functions built by combination of trap functions. In: Fogel D.B., El-Sharkawi M.A., Yao X., Greenwood G., Iba H., Marrow P., and Shackleton M. (Eds). Proceedings of the 2002 Congress on Evolutionary Computation CEC2002 (2002), IEEE Press 249-254
    • (2002) Proceedings of the 2002 Congress on Evolutionary Computation CEC2002 , pp. 249-254
    • Clergue, M.1    Collard, P.2
  • 30
    • 0001697862 scopus 로고
    • Local properties of Kauffman's NK model, a tuneably rugged energy landscape
    • Weinberger E.D. Local properties of Kauffman's NK model, a tuneably rugged energy landscape. Physical Review A 44 10 (1991) 6399-6413
    • (1991) Physical Review A , vol.44 , Issue.10 , pp. 6399-6413
    • Weinberger, E.D.1
  • 31
    • 0024991769 scopus 로고
    • Correlated and uncorrelatated fitness landscapes and how to tell the difference
    • Weinberger E.D. Correlated and uncorrelatated fitness landscapes and how to tell the difference. Biological Cybernetics 63 (1990) 325-336
    • (1990) Biological Cybernetics , vol.63 , pp. 325-336
    • Weinberger, E.D.1
  • 33
    • 0000065343 scopus 로고    scopus 로고
    • A measure of landscapes
    • Hordijk W. A measure of landscapes. Evolutionary Computation 4 4 (1996) 335-360
    • (1996) Evolutionary Computation , vol.4 , Issue.4 , pp. 335-360
    • Hordijk, W.1
  • 34
    • 33646125772 scopus 로고    scopus 로고
    • Where are bottleneck in NK fitness landscapes?
    • Sarker R., Reynolds R., Abbass H., Tan K.C., McKay B., Essam D., and Gedeon T. (Eds), IEEE Press, Canberra
    • Verel S., Collard P., and Clergue M. Where are bottleneck in NK fitness landscapes?. In: Sarker R., Reynolds R., Abbass H., Tan K.C., McKay B., Essam D., and Gedeon T. (Eds). Proceedings of the 2003 Congress on Evolutionary Computation CEC2003 (2003), IEEE Press, Canberra 273-280
    • (2003) Proceedings of the 2003 Congress on Evolutionary Computation CEC2003 , pp. 273-280
    • Verel, S.1    Collard, P.2    Clergue, M.3
  • 35
    • 29044448730 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • Madras N. Lectures on Monte Carlo Methods (2002), American Mathematical Society, Providence, Rhode Island
    • (2002) Lectures on Monte Carlo Methods
    • Madras, N.1
  • 36
    • 21344450743 scopus 로고    scopus 로고
    • Fitness clouds and problem hardness in genetic programming
    • Proceedings of the Genetic and Evolutionary Computation Conference. GECCO'04, Springer-Verlag
    • Vanneschi L., Clergue M., Collard P., Tomassini M., and Verel S. Fitness clouds and problem hardness in genetic programming. Proceedings of the Genetic and Evolutionary Computation Conference. GECCO'04. LNCS (2004), Springer-Verlag 690-701
    • (2004) LNCS , pp. 690-701
    • Vanneschi, L.1    Clergue, M.2    Collard, P.3    Tomassini, M.4    Verel, S.5
  • 37
    • 34247892153 scopus 로고    scopus 로고
    • L. Vanneschi, Theory and practice for efficient genetic programming, Ph.D. Thesis, Faculty of Science, University of Lausanne, Switzerland, 2004
  • 39
    • 79953133026 scopus 로고
    • A genetic algorithm discovers particle-based computation in cellular automata
    • Parallel Problem Solving from Nature- PPSN III. Davidor Y., Schwefel H.-P., and Männer R. (Eds), Springer-Verlag, Heidelberg
    • Das R., Mitchell M., and Crutchfield J.P. A genetic algorithm discovers particle-based computation in cellular automata. In: Davidor Y., Schwefel H.-P., and Männer R. (Eds). Parallel Problem Solving from Nature- PPSN III. Lecture Notes in Computer Science vol. 866 (1994), Springer-Verlag, Heidelberg 344-353
    • (1994) Lecture Notes in Computer Science , vol.866 , pp. 344-353
    • Das, R.1    Mitchell, M.2    Crutchfield, J.P.3
  • 40
    • 0003226974 scopus 로고    scopus 로고
    • Coevolving the ideal trainer: Application to the discovery of cellular automata rules
    • Koza J.R., et al. (Ed), Morgan Kaufmann, University of Wisconsin, Madison, Wisconsin, USA
    • Juillè H., and Pollack J.B. Coevolving the ideal trainer: Application to the discovery of cellular automata rules. In: Koza J.R., et al. (Ed). Genetic Programming 1998: Proceedings of the Third Annual Conference (1998), Morgan Kaufmann, University of Wisconsin, Madison, Wisconsin, USA 519-527
    • (1998) Genetic Programming 1998: Proceedings of the Third Annual Conference , pp. 519-527
    • Juillè, H.1    Pollack, J.B.2
  • 41
    • 85017406530 scopus 로고    scopus 로고
    • How to use the scuba diving metaphor to solve problem with neutrality?
    • de~Mántaras R.L., and Saitta L. (Eds). ECAI04, IOS Press, Valence, Spain
    • Collard P., Verel S., and Clergue M. How to use the scuba diving metaphor to solve problem with neutrality?. In: de~Mántaras R.L., and Saitta L. (Eds). Proceedings of the 2004 European Conference on Artificial Intelligence. ECAI04 (2004), IOS Press, Valence, Spain 166-170
    • (2004) Proceedings of the 2004 European Conference on Artificial Intelligence , pp. 166-170
    • Collard, P.1    Verel, S.2    Clergue, M.3
  • 42
    • 0034863696 scopus 로고    scopus 로고
    • Netcrawling - optimal evolutionary search with neutral networks
    • IEEE Press, COEX, World Trade Center, 159 Samseong-dong, Gangnam-gu, Seoul, Korea
    • Barnett L. Netcrawling - optimal evolutionary search with neutral networks. Proceedings of the 2001 Congress on Evolutionary Computation CEC2001 (2001), IEEE Press, COEX, World Trade Center, 159 Samseong-dong, Gangnam-gu, Seoul, Korea 30-37
    • (2001) Proceedings of the 2001 Congress on Evolutionary Computation CEC2001 , pp. 30-37
    • Barnett, L.1
  • 43
    • 0001900927 scopus 로고
    • The evolution of evolvability in genetic programming
    • Kinnear Jr. K.E. (Ed), MIT Press (Chapter 3)
    • Altenberg L. The evolution of evolvability in genetic programming. In: Kinnear Jr. K.E. (Ed). Advances in Genetic Programming (1994), MIT Press 47-74 (Chapter 3)
    • (1994) Advances in Genetic Programming , pp. 47-74
    • Altenberg, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.