{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T10:14:25Z","timestamp":1783764865602,"version":"3.55.0"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031829512","type":"print"},{"value":"9783031829499","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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":[[2025]]},"DOI":"10.1007\/978-3-031-82949-9_7","type":"book-chapter","created":{"date-parts":[[2025,4,23]],"date-time":"2025-04-23T08:30:32Z","timestamp":1745397032000},"page":"68-76","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Comparing Constraint Evaluation Methods for\u00a0Shape-Constrained Regression"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3039-8844","authenticated-orcid":false,"given":"Christian","family":"Haider","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5146-1750","authenticated-orcid":false,"given":"Florian","family":"Bachinger","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Florian","family":"Holzinger","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2741-8736","authenticated-orcid":false,"given":"Fabr\u00edcio Olivetti","family":"de Fran\u00e7a","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,4,24]]},"reference":[{"key":"7_CR1","doi-asserted-by":"publisher","unstructured":"B\u0142\u0105dek, I., Krawiec, K.: Solving symbolic regression problems with formal constraints. In: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 977\u2013984. GECCO \u201919, Association for Computing Machinery, New York, NY, USA (2019). https:\/\/doi.org\/10.1145\/3321707.3321743","DOI":"10.1145\/3321707.3321743"},{"issue":"3","key":"7_CR2","doi-asserted-by":"publisher","first-page":"88","DOI":"10.1007\/s10915-022-01939-z","volume":"92","author":"S Cuomo","year":"2022","unstructured":"Cuomo, S., Di Cola, V.S., Giampaolo, F., Rozza, G., Raissi, M., Piccialli, F.: Scientific machine learning through physics-informed neural networks: where we are and what\u2019s next. J. Sci. Comput. 92(3), 88 (2022)","journal-title":"J. Sci. Comput."},{"key":"7_CR3","unstructured":"Gupta, M., Louidor, E., Mangylov, O., Morioka, N., Narayan, T., Zhao, S.: Multidimensional shape constraints. In: International Conference on Machine Learning, pp. 3918\u20133928. PMLR (2020)"},{"key":"7_CR4","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2022.109855","volume":"132","author":"C Haider","year":"2023","unstructured":"Haider, C., de Franca, F., Burlacu, B., Kronberger, G.: Shape-constrained multi-objective genetic programming for symbolic regression. Appl. Soft Comput. 132, 109855 (2023)","journal-title":"Appl. Soft Comput."},{"key":"7_CR5","unstructured":"Hall, G.: Optimization over Nonnegative and Convex Polynomials With and Without Semidefinite Programming. Phd thesis, Princeton University (2018)"},{"key":"7_CR6","doi-asserted-by":"publisher","unstructured":"Hickey, T., Ju, Q., Van\u00a0Emden, M.H.: Interval arithmetic: from principles to implementation. J. ACM 48(5), 1038\u20131068 (2001). https:\/\/doi.org\/10.1145\/502102.502106","DOI":"10.1145\/502102.502106"},{"key":"7_CR7","doi-asserted-by":"crossref","unstructured":"Koza, J.R., Poli, R.: Genetic programming. In: Search Methodologies, pp. 127\u2013164. Springer (2005)","DOI":"10.1007\/0-387-28356-0_5"},{"key":"7_CR8","doi-asserted-by":"publisher","unstructured":"Kronberger, G., de\u00a0Franca, F.O., Burlacu, B., Haider, C., Kommenda, M.: Shape-constrained symbolic regression-improving extrapolation with prior knowledge. Evol. Comput. 30(1), 75\u201398 (2022). https:\/\/doi.org\/10.1162\/evco_a_00294","DOI":"10.1162\/evco_a_00294"},{"key":"7_CR9","unstructured":"Poli, R., Langdon, W.B., McPhee, N.F., Koza, J.R.: A field guide to genetic programming. Lulu. com (2008)"},{"issue":"5","key":"7_CR10","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1038\/s42256-019-0048-x","volume":"1","author":"C Rudin","year":"2019","unstructured":"Rudin, C.: Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead. Nat. Mach. Intell. 1(5), 206\u2013215 (2019)","journal-title":"Nat. Mach. Intell."},{"key":"7_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/21-SS133","volume":"16","author":"C Rudin","year":"2022","unstructured":"Rudin, C., Chen, C., Chen, Z., Huang, H., Semenova, L., Zhong, C.: Interpretable machine learning: fundamental principles and 10 grand challenges. Stat. Surv. 16, 1\u201385 (2022)","journal-title":"Stat. Surv."},{"key":"7_CR12","doi-asserted-by":"publisher","unstructured":"Udrescu, S.M., Tegmark, M.: AI Feynman: a physics-inspired method for symbolic regression. Sci. Adv. 6(16), eaay2631 (2020). https:\/\/doi.org\/10.1126\/sciadv.aay2631","DOI":"10.1126\/sciadv.aay2631"},{"key":"7_CR13","unstructured":"Willard, J., Jia, X., Xu, S., Steinbach, M., Kumar, V.: Integrating physics-based modeling with machine learning: A survey. arXiv preprint arXiv:2003.049191(1), 1\u201334 (2020)"}],"container-title":["Lecture Notes in Computer Science","Computer Aided Systems Theory \u2013 EUROCAST 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-82949-9_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,23]],"date-time":"2025-04-23T08:30:37Z","timestamp":1745397037000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-82949-9_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031829512","9783031829499"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-82949-9_7","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"24 April 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"EUROCAST","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computer Aided Systems Theory","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Las Palmas de Canaria","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 February 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 March 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"19th","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eurocast2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/eurocast2024.fulp.ulpgc.es\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}