Abstract
In this paper we discuss alternative tool for symbolic regression so called Analytical programming and compare its variants powered by classical random as well as chaotic random-like number generator. Experimental data are used from the previous experiments reported for genetic programming. Selected algorithms are differential evolution, SOMA, particle swarm, simulated annealing and evolutionary strategies. All of them are mutually used in scheme Master-Slave meta-evolution for final complex structure fitting and its parameter estimation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Price, K.: An Introduction to Differential Evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999)
Zelinka, I.: SOMA – Self Organizing Migrating Algorithm. In: Babu, B.V., Onwubolu, G. (eds.) New Optimization Techniques in Engineering. STUDFUZZ, vol. 141, pp. 167–218. Springer, Heidelberg (2004)
Koza, J.: Genetic Programming: A paradigm for genetically breeding populations of computer programs to solve problems, Stanford University, Computer Science Department, Technical Report, STAN-CS-90-1314 (1990)
Koza, J.: Genetic Programming. MIT Press (1998)
Ryan, C., Collins, J.J., O’Neill, M.: Grammatical evolution: Evolving programs for an arbitrary language. In: Banzhaf, W., Poli, R., Schoenauer, M., Fogarty, T.C. (eds.) EuroGP 1998. LNCS, vol. 1391, pp. 83–96. Springer, Heidelberg (1998)
Zelinka, I., Oplatkova, Z., Nolle, L.: Analytic programming – Symbolic regression by means of arbitrary evolutionary algorithms. Int. J. of Simulation, Systems, Science and Technology 6(9), 44–56 (2005)
Johnson, C.: Artificial immune systems programming for symbolic regression. In: Ryan, C., Soule, T., Keijzer, M., Tsang, E.P.K., Poli, R., Costa, E. (eds.) EuroGP 2003. LNCS, vol. 2610, pp. 345–353. Springer, Heidelberg (2003)
Weisser, R., Osmera, P.: Two-Level Transplant Evolution for Optimization of General Controllers. In: New Trends in Technologies, Sciyo (2010)
Weisser, R., Osmera, P.: Two-level Tranpslant Evolution. In: 17th Zittau Fuzzy Colloquium, Zittau, Germany (2010)
Weisser, R., Osmera, P., Matousek, R.: Transplant Evolution with Modified Schema of Differential Evolution: Optimization Structure of Controllers. In: International Conference on Soft Computing MENDEL, Brno, Czech Republic (2010)
O’Neill, M., Brabazon, A.: Grammatical Differential Evolution. In: Proceedings of International Conference on Artificial Intelligence, pp. 231–236. CSEA Press (2006)
Koza, J., Bennet, F., Andre, D., Keane, M.: Genetic Programming III. Morgan Kaufmann, New York (1999)
Zelinka, I., Oplatkova, Z.: Analytic programming – Comparative study. In: Proceedings of Second International Conference on Computational Intelligence, Robotics, and Autonomous Systems, Singapore (2003)
Koza, J., Keane, M., Streeter, M.: Evolving inventions, pp. 40–47. Scientific American (2003)
Oplatkova, Z., Zelinka, I.: Investigation on artificial ant using analytic programming. In: Proceedings of Genetic and Evolutionary Computation Conference, Seattle, WA, pp. 949–950 (2006)
O’Neill, M., Ryan, C.: Grammatical Evolution, Evolutionary Automatic Programming in an Arbitrary Language. Springer, New York (2003)
Zelinka, I., Chen, G., Celikovsky, S.: Chaos Synthesis by Means of Evolutionary algorithms. International Journal of Bifurcation and Chaos 18(4), 911–942 (2008) ISSN 0218-1274
Zelinka, I., Celikovsky, S., Richter, H., Chen, G. (eds.): Evolutionary Algorithms and Chaotic Systems. SCI, vol. 267. Springer, Heidelberg (2010)
Zelinka, I., Davendra, D., Senkerik, R., Jasek, R., Oplatkova, Z.: Analytical Programming - a Novel Approach for Evolutionary Synthesis of Symbolic Structures. In: Kita, E. (ed.) Evolutionary Algorithms. InTech (2011), http://www.intechopen.com/books/evolutionary-algorithms/analytical-programming-a-novel-approach-for-evolutionary-synthesis-of-symbolic-structures , doi:10.5772/16166, ISBN: 978-953-307-171-8
Zelinka, I., Senkerik, R., Pluhacek, M.: Do Evolutionary Algorithms Indeed Require Randomness? In: IEEE Congress on Evolutionary Computation, Cancun, Mexico, pp. 2283–2289 (2013)
Zelinka, I., Chadli, M., Davendra, D., Senkerik, R., Pluhacek, M., Lampinen, J.: Hidden Periodicity - Chaos Dependance on Numerical Precision. In: Zelinka, I., Chen, G., Rössler, O.E., Snasel, V., Abraham, A. (eds.) Nostradamus 2013: Prediction, Model. & Analysis. AISC, vol. 210, pp. 47–59. Springer, Heidelberg (2013)
Zelinka, I., Chadli, M., Davendra, D., Senkerik, R., Pluhacek, M., Lampinen, J.: Do Evolutionary Algorithms Indeed Require Random Numbers? Extended Study. In: Zelinka, I., Chen, G., Rössler, O.E., Snasel, V., Abraham, A. (eds.) Nostradamus 2013: Prediction, Model. & Analysis. AISC, vol. 210, pp. 61–75. Springer, Heidelberg (2013)
Beyer, H.-G.: Theory of Evolution Strategies. Springer, New York (2001)
Cerný, V.: Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm. J. Opt. Theory Appl. 45(1), 41–51 (1985)
Kirkpatrick, S., Gelatt Jr., C.D., Vecchi, M.P.: Optimization by Simulated Annealing. Science 220(4598), 671–680 (1983)
Clerc, M.: Particle Swarm Optimization. ISTE Publishing Company (2006)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Zelinka, I., Skanderova, L., Šaloun, P., Senkerik, R., Dao, T.T., Hoang, D.V. (2014). Analytic Programming Powered by Chaotic Dynamics. In: Zelinka, I., Suganthan, P., Chen, G., Snasel, V., Abraham, A., Rössler, O. (eds) Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 289. Springer, Cham. https://doi.org/10.1007/978-3-319-07401-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-07401-6_12
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07400-9
Online ISBN: 978-3-319-07401-6
eBook Packages: EngineeringEngineering (R0)