Skip to main content
Top

2023 | OriginalPaper | Chapter

Phenotype Search Trajectory Networks for Linear Genetic Programming

Authors : Ting Hu, Gabriela Ochoa, Wolfgang Banzhaf

Published in: Genetic Programming

Publisher: Springer Nature Switzerland

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this study, we visualise the search trajectories of a genetic programming system as graph-based models, where nodes are genotypes/phenotypes and edges represent their mutational transitions. We also quantitatively measure the characteristics of phenotypes including their genotypic abundance (the requirement for neutrality) and Kolmogorov complexity. We connect these quantified metrics with search trajectory visualisations, and find that more complex phenotypes are under-represented by fewer genotypes and are harder for evolution to discover. Less complex phenotypes, on the other hand, are over-represented by genotypes, are easier to find, and frequently serve as stepping-stones for evolution.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
Note that multiple programs can contribute to the same phenotype as specified by its behavior.
 
Literature
2.
go back to reference Banzhaf, W., Leier, A.: Evolution on neutral networks in genetic programming. In: Yu, T., Riolo, R., Worzel, B. (eds.) Genetic Programming – Theory and Practice III, pp. 207–221. Kluwer (2006) Banzhaf, W., Leier, A.: Evolution on neutral networks in genetic programming. In: Yu, T., Riolo, R., Worzel, B. (eds.) Genetic Programming – Theory and Practice III, pp. 207–221. Kluwer (2006)
5.
go back to reference Dingle, K., Camargo, C., Louis, A.: Input-output maps are strongly biased towards simple outputs. Nat. Commun. 9, 761 (2018)CrossRef Dingle, K., Camargo, C., Louis, A.: Input-output maps are strongly biased towards simple outputs. Nat. Commun. 9, 761 (2018)CrossRef
6.
go back to reference Dingle, K., Novev, J., Ahnert, S., Louis, A.: Predicting phenotype transition probabilities via conditional algorithmic probability approximations. J. Roy. Soc. Interface (2023) Dingle, K., Novev, J., Ahnert, S., Louis, A.: Predicting phenotype transition probabilities via conditional algorithmic probability approximations. J. Roy. Soc. Interface (2023)
7.
go back to reference Dingle, K., Valle Perez, G., Louis, A.: Generic predictions of output probability based on complexities of inputs and outputs. Sci. Rep. 10, 4415 (2020)CrossRef Dingle, K., Valle Perez, G., Louis, A.: Generic predictions of output probability based on complexities of inputs and outputs. Sci. Rep. 10, 4415 (2020)CrossRef
8.
go back to reference Fruchterman, T.M.J., Reingold, E.M.: Graph drawing by force-directed placement. Softw. Pract. Exp. 21(11), 1129–1164 (1991)CrossRef Fruchterman, T.M.J., Reingold, E.M.: Graph drawing by force-directed placement. Softw. Pract. Exp. 21(11), 1129–1164 (1991)CrossRef
9.
go back to reference Gao, J., Li, D., Havlin, S.: From a single network to a network of networks. Natl. Sci. Rev. 1, 346–356 (2014)CrossRef Gao, J., Li, D., Havlin, S.: From a single network to a network of networks. Natl. Sci. Rev. 1, 346–356 (2014)CrossRef
10.
go back to reference Hu, T., Banzhaf, W.: Neutrality and variability: two sides of evolvability in linear genetic programming. In: Rothlauf, F., et al. (eds.) Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, pp. 963–970 (2009) Hu, T., Banzhaf, W.: Neutrality and variability: two sides of evolvability in linear genetic programming. In: Rothlauf, F., et al. (eds.) Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, pp. 963–970 (2009)
12.
go back to reference Hu, T., Payne, J.L., Banzhaf, W., Moore, J.H.: Evolutionary dynamics on multiple scales: a quantitative analysis of the interplay between genotype, phenotype, and fitness in linear genetic programming. Genet. Program. Evol. Mach. 13, 305–337 (2012)CrossRef Hu, T., Payne, J.L., Banzhaf, W., Moore, J.H.: Evolutionary dynamics on multiple scales: a quantitative analysis of the interplay between genotype, phenotype, and fitness in linear genetic programming. Genet. Program. Evol. Mach. 13, 305–337 (2012)CrossRef
13.
go back to reference Kimura, M.: The Neutral Theory of Molecular Evolution. Cambridge University Press, Cambridge (1983)CrossRef Kimura, M.: The Neutral Theory of Molecular Evolution. Cambridge University Press, Cambridge (1983)CrossRef
14.
go back to reference Lobkovsky, A.E., Wolf, Y.I., Koonin, E.V.: Predictability of evolutionary trajectories in fitness landscapes. PLoS Comput. Biol. 7(12), e1002302 (2011)CrossRef Lobkovsky, A.E., Wolf, Y.I., Koonin, E.V.: Predictability of evolutionary trajectories in fitness landscapes. PLoS Comput. Biol. 7(12), e1002302 (2011)CrossRef
16.
go back to reference Ochoa, G., Malan, K.M., Blum, C.: Search trajectory networks: a tool for analysing and visualising the behaviour of metaheuristics. Appl. Soft Comput. 109, 107492 (2021)CrossRef Ochoa, G., Malan, K.M., Blum, C.: Search trajectory networks: a tool for analysing and visualising the behaviour of metaheuristics. Appl. Soft Comput. 109, 107492 (2021)CrossRef
17.
go back to reference Reidys, C., Stadler, P., Schuster, P.: Generic properties of combinatory maps: neutral networks of RNA secondary structures. Bull. Math. Biol. 59, 339–397 (1997)CrossRefMATH Reidys, C., Stadler, P., Schuster, P.: Generic properties of combinatory maps: neutral networks of RNA secondary structures. Bull. Math. Biol. 59, 339–397 (1997)CrossRefMATH
19.
go back to reference Wright, A.H., Laue, C.L.: Evolvability and complexity properties of the digital circuit genotype-phenotype map. In: Proceedings of the Annual Conference on Genetic and Evolutionary Computation, pp. 840–848 (2021) Wright, A.H., Laue, C.L.: Evolvability and complexity properties of the digital circuit genotype-phenotype map. In: Proceedings of the Annual Conference on Genetic and Evolutionary Computation, pp. 840–848 (2021)
Metadata
Title
Phenotype Search Trajectory Networks for Linear Genetic Programming
Authors
Ting Hu
Gabriela Ochoa
Wolfgang Banzhaf
Copyright Year
2023
DOI
https://doi.org/10.1007/978-3-031-29573-7_4

Premium Partner