{"id":"https://openalex.org/W4415687532","doi":"https://doi.org/10.1016/j.knosys.2025.114782","title":"GranKANFormer: A Granular KAN-based transformer with efficient and diverse fitting","display_name":"GranKANFormer: A Granular KAN-based transformer with efficient and diverse fitting","publication_year":2025,"publication_date":"2025-10-30","ids":{"openalex":"https://openalex.org/W4415687532","doi":"https://doi.org/10.1016/j.knosys.2025.114782"},"language":"en","primary_location":{"id":"doi:10.1016/j.knosys.2025.114782","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.knosys.2025.114782","pdf_url":null,"source":{"id":"https://openalex.org/S10169007","display_name":"Knowledge-Based Systems","issn_l":"0950-7051","issn":["0950-7051","1872-7409"],"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":"Knowledge-Based Systems","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/A5056099926","display_name":"Kai Zeng","orcid":"https://orcid.org/0000-0003-2662-1596"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Zeng","raw_affiliation_strings":["organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China"],"raw_orcid":"https://orcid.org/0000-0003-2662-1596","affiliations":[{"raw_affiliation_string":"organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jun Chen","orcid":"https://orcid.org/0009-0002-6286-8852"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Chen","raw_affiliation_strings":["organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China"],"raw_orcid":"https://orcid.org/0009-0002-6286-8852","affiliations":[{"raw_affiliation_string":"organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003333516","display_name":"Tao Shen","orcid":"https://orcid.org/0000-0003-1273-7950"},"institutions":[{"id":"https://openalex.org/I10660446","display_name":"Kunming University of Science and Technology","ror":"https://ror.org/00xyeez13","country_code":"CN","type":"education","lineage":["https://openalex.org/I10660446"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Shen","raw_affiliation_strings":["organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China"],"raw_orcid":"https://orcid.org/0000-0003-1273-7950","affiliations":[{"raw_affiliation_string":"organization=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, addressline=Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I10660446"]},{"raw_affiliation_string":"organization=Yunnan Key Laboratory of Computer Technologies Application, addressline=Kunming University of Science and Technology, Chenggong District, Kunming, Yunnan, China, city=Kunming, postcode=650500, state=Yunnan, country=China","institution_ids":["https://openalex.org/I189210763"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003333516"],"corresponding_institution_ids":["https://openalex.org/I10660446","https://openalex.org/I189210763"],"apc_list":{"value":3130,"currency":"USD","value_usd":3130},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27723209,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"331","issue":null,"first_page":"114782","last_page":"114782"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10036","display_name":"Advanced Neural Network Applications","score":0.1476999968290329,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10036","display_name":"Advanced Neural Network Applications","score":0.1476999968290329,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.12039999663829803,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.04919999837875366,"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/spline","display_name":"Spline (mechanical)","score":0.6377000212669373},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.6061000227928162},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.5153999924659729},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5034000277519226},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.4823000133037567},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.45559999346733093},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4311999976634979},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.38670000433921814},{"id":"https://openalex.org/keywords/synthetic-data","display_name":"Synthetic data","score":0.36550000309944153}],"concepts":[{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6377000212669373},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.6061000227928162},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.5153999924659729},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5034000277519226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4977000057697296},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49070000648498535},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.4823000133037567},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.45559999346733093},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4311999976634979},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.38670000433921814},{"id":"https://openalex.org/C160920958","wikidata":"https://www.wikidata.org/wiki/Q7662746","display_name":"Synthetic data","level":2,"score":0.36550000309944153},{"id":"https://openalex.org/C32568104","wikidata":"https://www.wikidata.org/wiki/Q1155083","display_name":"Granular material","level":2,"score":0.35839998722076416},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.33410000801086426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3303999900817871},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3156999945640564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31540000438690186},{"id":"https://openalex.org/C98856871","wikidata":"https://www.wikidata.org/wiki/Q1588488","display_name":"Radial basis function","level":3,"score":0.311599999666214},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.3077999949455261},{"id":"https://openalex.org/C179717631","wikidata":"https://www.wikidata.org/wiki/Q2991667","display_name":"Multilayer perceptron","level":3,"score":0.30379998683929443},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.302700012922287},{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.2752000093460083},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C60908668","wikidata":"https://www.wikidata.org/wiki/Q690207","display_name":"Perceptron","level":3,"score":0.25839999318122864},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2563000023365021},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.25360000133514404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.knosys.2025.114782","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.knosys.2025.114782","pdf_url":null,"source":{"id":"https://openalex.org/S10169007","display_name":"Knowledge-Based Systems","issn_l":"0950-7051","issn":["0950-7051","1872-7409"],"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":"Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2555961084","display_name":null,"funder_award_id":"202302AG050009","funder_id":"https://openalex.org/F4320336602","funder_display_name":"Major Science and Technology Projects in Yunnan Province"},{"id":"https://openalex.org/G5012723161","display_name":null,"funder_award_id":"62462040","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8050617796","display_name":null,"funder_award_id":"202202AD080013","funder_id":"https://openalex.org/F4320336602","funder_display_name":"Major Science and Technology Projects in Yunnan Province"},{"id":"https://openalex.org/G879816690","display_name":null,"funder_award_id":"202301AV070003","funder_id":"https://openalex.org/F4320336602","funder_display_name":"Major Science and Technology Projects in Yunnan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336602","display_name":"Major Science and Technology Projects in Yunnan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1965999112","https://openalex.org/W2743621318","https://openalex.org/W2963881378","https://openalex.org/W2995766874","https://openalex.org/W3008156909","https://openalex.org/W3019728440","https://openalex.org/W3022015146","https://openalex.org/W3103092912","https://openalex.org/W3132253151","https://openalex.org/W4206007731","https://openalex.org/W4315630813","https://openalex.org/W4385755664","https://openalex.org/W4390755794","https://openalex.org/W4399565315","https://openalex.org/W4400111226","https://openalex.org/W4400258641","https://openalex.org/W4401697219","https://openalex.org/W4401852331","https://openalex.org/W4405022676","https://openalex.org/W4408333219"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-30T00:00:00"}
