{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T07:11:44Z","timestamp":1777360304195,"version":"3.51.4"},"publisher-location":"Singapore","reference-count":25,"publisher":"Springer Nature Singapore","isbn-type":[{"value":"9789819984121","type":"print"},{"value":"9789819984138","type":"electronic"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-981-99-8413-8_4","type":"book-chapter","created":{"date-parts":[[2024,2,17]],"date-time":"2024-02-17T01:02:10Z","timestamp":1708131730000},"page":"65-86","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["How the Combinatorics of Neutral Spaces Leads Genetic Programming to Discover Simple Solutions"],"prefix":"10.1007","author":[{"given":"Wolfgang","family":"Banzhaf","sequence":"first","affiliation":[]},{"given":"Ting","family":"Hu","sequence":"additional","affiliation":[]},{"given":"Gabriela","family":"Ochoa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,2,18]]},"reference":[{"key":"4_CR1","doi-asserted-by":"crossref","unstructured":"Banzhaf, W.: Genotype-phenotype-mapping and neutral variation\u2014a case study in genetic programming. In: International Conference on Parallel Problem Solving from Nature, pp. 322\u2013332. Springer (1994)","DOI":"10.1007\/3-540-58484-6_276"},{"key":"4_CR2","doi-asserted-by":"crossref","unstructured":"Banzhaf, W., Leier, A.: Evolution on neutral networks in genetic programming. In: Genetic Programming\u2014Theory and Practice III, pp. 207\u2013221. Springer (2006)","DOI":"10.1007\/0-387-28111-8_14"},{"key":"4_CR3","unstructured":"Banzhaf, W., Nordin, P., Keller, R.E., Francone, F.: Genetic Programming\u2014An Introduction. Morgan Kaufmann, Morgan Kaufmann Publishers 340 Pine Street, 6th Floor San Francisco, CA 94104 USA (1998)"},{"key":"4_CR4","unstructured":"Brameier, M., Banzhaf, W.: Linear Genetic Programming. Springer (2007)"},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"761","DOI":"10.1038\/s41467-018-03101-6","volume":"9","author":"K Dingle","year":"2018","unstructured":"Dingle, K., Camargo, C., Louis, A.: Input-output maps are strongly biased towards simple outputs. Nat. Commun. 9, 761 (2018)","journal-title":"Nat. Commun."},{"key":"4_CR6","doi-asserted-by":"publisher","first-page":"4415","DOI":"10.1038\/s41598-020-61135-7","volume":"10","author":"K Dingle","year":"2020","unstructured":"Dingle, K., Valle Perez, G., Louis, A.: Generic predictions of output probability based on complexities of inputs and outputs. Sci. Rep. 10, 4415 (2020)","journal-title":"Sci. Rep."},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Hu, T., Banzhaf, W.: Neutrality and variability: two sides of evolvability in linear genetic programming. In: Proceedings of the 11th Annual Conference on Genetic and Evolutionary Computation, pp. 963\u2013970 (2009)","DOI":"10.1145\/1569901.1570033"},{"issue":"4","key":"4_CR8","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1162\/ARTL_a_00145","volume":"20","author":"T Hu","year":"2014","unstructured":"Hu, T., Banzhaf, W., Moore, J.H.: The effect of recombination on phenotypic exploration and robustness in evolution. Artif. Life 20(4), 457\u2013470 (2014)","journal-title":"Artif. Life"},{"key":"4_CR9","doi-asserted-by":"crossref","unstructured":"Hu, T., Ochoa, G., Banzhaf, W.: Phenotype search trajectory networks for linear genetic programming. In: Genetic Programming: 26th European Conference, EuroGP 2023, Held as Part of EvoStar 2023, Brno, Czech Republic, April 12\u201314, 2023, Proceedings, pp. 52\u201367. Springer (2023)","DOI":"10.1007\/978-3-031-29573-7_4"},{"key":"4_CR10","doi-asserted-by":"crossref","unstructured":"Hu, T., Payne, J.L., Banzhaf, W., Moore, J.H.: Robustness, evolvability, and accessibility in linear genetic programming. In: European Conference on Genetic Programming, pp. 13\u201324. Springer (2011)","DOI":"10.1007\/978-3-642-20407-4_2"},{"key":"4_CR11","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/s10710-012-9159-4","volume":"13","author":"T Hu","year":"2012","unstructured":"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. Gen. Program. Evol. Mach. 13, 305\u2013337 (2012)","journal-title":"Gen. Program. Evol. Mach."},{"key":"4_CR12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623486","volume-title":"The Neutral Theory of Molecular Evolution","author":"M Kimura","year":"1983","unstructured":"Kimura, M.: The Neutral Theory of Molecular Evolution. Cambridge University Press, Cambridge, UK (1983)"},{"key":"4_CR13","unstructured":"Koza, J.R.: Genetic Programming. MIT Press, 12th floor of One Broadway, in Cambridge, MA 02142 (1992)"},{"key":"4_CR14","doi-asserted-by":"crossref","unstructured":"Langdon, W.B., Poli, R.: Foundations of genetic programming. Springer (2002)","DOI":"10.1007\/978-3-662-04726-2"},{"key":"4_CR15","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1162\/artl_a_00319","volume":"26","author":"J Lehman","year":"2020","unstructured":"Lehman, J., et al.: The surprising creativity of digital evolution: a collection of anecdotes from the evolutionary computation and artificial life research communities. Artif. Life 26, 274\u2013306 (2020)","journal-title":"Artif. Life"},{"key":"4_CR16","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/s10710-019-09360-6","volume":"21","author":"JF Miller","year":"2020","unstructured":"Miller, J.F.: Cartesian genetic programming: its status and future. Gen. Program. Evol. Mach. 21, 129\u2013168 (2020)","journal-title":"Gen. Program. Evol. Mach."},{"key":"4_CR17","doi-asserted-by":"crossref","unstructured":"Ochoa, G., Malan, K.M., Blum, C.: Search trajectory networks of population-based algorithms in continuous spaces. In: European Conference on Applications of Evolutionary Computation. EvoApps, pp. 70\u201385. Springer International Publishing, Cham (2020)","DOI":"10.1007\/978-3-030-43722-0_5"},{"key":"4_CR18","doi-asserted-by":"crossref","unstructured":"Ochoa, G., Malan, K.M., Blum, C.: Search trajectory networks: a tool for analysing and visualising the behaviour of metaheuristics. Appl. Soft Comput. 109, 107,492 (2021)","DOI":"10.1016\/j.asoc.2021.107492"},{"key":"4_CR19","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1007\/BF02462007","volume":"59","author":"C Reidys","year":"1997","unstructured":"Reidys, C., Stadler, P., Schuster, P.: Generic properties of combinatory maps: neutral networks of RNA secondary structures. Bull. Math. Biol. 59, 339\u2013397 (1997)","journal-title":"Bull. Math. Biol."},{"key":"4_CR20","doi-asserted-by":"crossref","unstructured":"Sarti, S., Adair, J., Ochoa, G.: Neuroevolution trajectory networks of the behaviour space. In: European Conference on Applications of Evolutionary Computation, EvoApps, Lecture Notes in Computer Science, vol. 13224, pp. 685\u2013703. Springer (2022). 10.1007\/978-3-031-02462-7_43","DOI":"10.1007\/978-3-031-02462-7_43"},{"key":"4_CR21","doi-asserted-by":"crossref","unstructured":"Sarti, S., Adair, J., Ochoa, G.: Neuroevolution trajectory networks of the behaviour space. In: European Conference on Applications of Evolutionary Computation, EvoApps, Lecture Notes in Computer Science, vol. 13224, pp. 685\u2013703. Springer (2022)","DOI":"10.1007\/978-3-031-02462-7_43"},{"key":"4_CR22","doi-asserted-by":"crossref","unstructured":"Schuster, P., Fontana, W., Stadler, P.F., Hofacker, I.L.: From sequences to shapes and back: a case study in RNA secondary structures. In: Proceedings of the Royal Society of London. Series B: Biological Sciences, vol. 255(1344), pp. 279\u2013284 (1994)","DOI":"10.1098\/rspb.1994.0040"},{"key":"4_CR23","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.tcs.2011.03.011","volume":"425","author":"L Vanneschi","year":"2012","unstructured":"Vanneschi, L., Pirola, Y., Mauri, G., Tomassini, M., Collard, P., Verel, S.: A study of the neutrality of boolean function landscapes in genetic programming. Theor. Comput. Sci. 425, 34\u201357 (2012)","journal-title":"Theor. Comput. Sci."},{"key":"4_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/cpa.3160130102","volume":"13","author":"EP Wigner","year":"1960","unstructured":"Wigner, E.P.: The unreasonable effectiveness of mathematics in the natural sciences. Commun. Pure Appl. Math. 13, 1\u201314 (1960)","journal-title":"Commun. Pure Appl. Math."},{"key":"4_CR25","doi-asserted-by":"crossref","unstructured":"Wright, A.H., Laue, C.L.: Evolvability and complexity properties of the digital circuit genotype-phenotype map. In: Proceedings of the Genetic and Evolutionary Computation Conference\u2014GECCO 2021, pp. 840\u2013848. ACM Press (2021)","DOI":"10.1145\/3449639.3459393"}],"container-title":["Genetic and Evolutionary Computation","Genetic Programming Theory and Practice XX"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-99-8413-8_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,17]],"date-time":"2024-02-17T01:02:52Z","timestamp":1708131772000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-981-99-8413-8_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9789819984121","9789819984138"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-981-99-8413-8_4","relation":{},"ISSN":["1932-0167","1932-0175"],"issn-type":[{"value":"1932-0167","type":"print"},{"value":"1932-0175","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"18 February 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}