{"id":"https://openalex.org/W4415389477","doi":"https://doi.org/10.1016/j.asoc.2025.114081","title":"A two-stage symbolic regression method for discovering mathematical formulas","display_name":"A two-stage symbolic regression method for discovering mathematical formulas","publication_year":2025,"publication_date":"2025-10-21","ids":{"openalex":"https://openalex.org/W4415389477","doi":"https://doi.org/10.1016/j.asoc.2025.114081"},"language":"en","primary_location":{"id":"doi:10.1016/j.asoc.2025.114081","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2025.114081","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041191165","display_name":"Zeyu Zeng","orcid":"https://orcid.org/0000-0003-0440-5606"},"institutions":[{"id":"https://openalex.org/I200946902","display_name":"Yichun University","ror":"https://ror.org/05h4th693","country_code":"CN","type":"education","lineage":["https://openalex.org/I200946902"]},{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeyu Zeng","raw_affiliation_strings":["National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China","School of Information Engineering, Yichun Vocational Technical College, Yichun 336000, PR China"],"raw_orcid":"https://orcid.org/0000-0003-0440-5606","affiliations":[{"raw_affiliation_string":"National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China","institution_ids":["https://openalex.org/I40963666"]},{"raw_affiliation_string":"School of Information Engineering, Yichun Vocational Technical College, Yichun 336000, PR China","institution_ids":["https://openalex.org/I200946902"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075724771","display_name":"Xicheng Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xicheng Peng","raw_affiliation_strings":["National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101596364","display_name":"Mao Chen","orcid":"https://orcid.org/0000-0002-6003-3491"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mao Chen","raw_affiliation_strings":["National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China"],"raw_orcid":"https://orcid.org/0000-0002-6003-3491","affiliations":[{"raw_affiliation_string":"National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065669497","display_name":"Sannyuya Liu","orcid":"https://orcid.org/0000-0002-4926-3720"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Sannyuya Liu","raw_affiliation_strings":["National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Engineering Research Center of Educational Big Data, Central China Normal University, Wuhan 430079, PR China","institution_ids":["https://openalex.org/I40963666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5065669497","https://openalex.org/A5101596364"],"corresponding_institution_ids":["https://openalex.org/I40963666"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":null,"fwci":2.1733,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.90867301,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"186","issue":null,"first_page":"114081","last_page":"114081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9541000127792358,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symbolic-regression","display_name":"Symbolic regression","score":0.7451000213623047},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.645799994468689},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5934000015258789},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.4871000051498413},{"id":"https://openalex.org/keywords/genetic-programming","display_name":"Genetic programming","score":0.46630001068115234},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4399000108242035},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.4271000027656555},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4171000123023987}],"concepts":[{"id":"https://openalex.org/C2776400721","wikidata":"https://www.wikidata.org/wiki/Q18171762","display_name":"Symbolic regression","level":3,"score":0.7451000213623047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6879000067710876},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.645799994468689},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5934000015258789},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.4871000051498413},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.46630001068115234},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4399000108242035},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.4271000027656555},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4171000123023987},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.392300009727478},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.3910999894142151},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3880999982357025},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38530001044273376},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3716000020503998},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.3594000041484833},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.3319999873638153},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.33090001344680786},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.32739999890327454},{"id":"https://openalex.org/C148483581","wikidata":"https://www.wikidata.org/wiki/Q446488","display_name":"Feature selection","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C62469222","wikidata":"https://www.wikidata.org/wiki/Q17092103","display_name":"Hybrid algorithm (constraint satisfaction)","level":5,"score":0.2761000096797943},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.27000001072883606},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2648000121116638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.asoc.2025.114081","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.asoc.2025.114081","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5596569765","display_name":null,"funder_award_id":"62077019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1576818901","https://openalex.org/W1979769287","https://openalex.org/W2024060531","https://openalex.org/W2061011797","https://openalex.org/W2076390593","https://openalex.org/W2095473347","https://openalex.org/W2216139323","https://openalex.org/W2264689927","https://openalex.org/W2319373655","https://openalex.org/W2560674852","https://openalex.org/W2561848204","https://openalex.org/W2583603977","https://openalex.org/W2596567068","https://openalex.org/W2766447205","https://openalex.org/W2907075088","https://openalex.org/W2910230154","https://openalex.org/W2950686278","https://openalex.org/W2983896275","https://openalex.org/W2987724672","https://openalex.org/W2999572625","https://openalex.org/W3016401366","https://openalex.org/W3022136544","https://openalex.org/W3041381957","https://openalex.org/W3042344738","https://openalex.org/W3047626512","https://openalex.org/W3082465854","https://openalex.org/W3100868398","https://openalex.org/W3101699553","https://openalex.org/W3158694080","https://openalex.org/W3164991976","https://openalex.org/W3199123167","https://openalex.org/W3207471124","https://openalex.org/W4220763773","https://openalex.org/W4231663993","https://openalex.org/W4237617116","https://openalex.org/W4241811150","https://openalex.org/W4248403597","https://openalex.org/W4251923025","https://openalex.org/W4301117528","https://openalex.org/W4323782439","https://openalex.org/W4398190452"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-22T00:00:00"}
