{"id":"https://openalex.org/W4415451282","doi":"https://doi.org/10.3390/computation13110248","title":"EKAResNet: Enhancing ResNet with Kolmogorov\u2013Arnold Network-Based Nonlinear Feature Mapping","display_name":"EKAResNet: Enhancing ResNet with Kolmogorov\u2013Arnold Network-Based Nonlinear Feature Mapping","publication_year":2025,"publication_date":"2025-10-22","ids":{"openalex":"https://openalex.org/W4415451282","doi":"https://doi.org/10.3390/computation13110248"},"language":"en","primary_location":{"id":"doi:10.3390/computation13110248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13110248","pdf_url":"https://www.mdpi.com/2079-3197/13/11/248/pdf?version=1761124570","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/13/11/248/pdf?version=1761124570","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120102053","display_name":"Zhiming Dang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiming Dang","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084312927","display_name":"Tonghua Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tonghua Wu","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073850565","display_name":"Wulin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wulin Zhang","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100379141","display_name":"Jianxin Chen","orcid":"https://orcid.org/0000-0001-8519-4462"},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianxin Chen","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011512751","display_name":"Huanlin Chen","orcid":"https://orcid.org/0000-0002-7808-7797"},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanlin Chen","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100572960","display_name":"Xuan Liu","orcid":"https://orcid.org/0009-0008-0784-6531"},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuan Liu","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113300911","display_name":"Zirui Liu","orcid":"https://orcid.org/0009-0001-2474-1765"},"institutions":[{"id":"https://openalex.org/I4210116828","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210116828"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zirui Liu","raw_affiliation_strings":["Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Electrical Engineering, Mudanjiang Normal University, Mudanjiang 157000, China","institution_ids":["https://openalex.org/I4210116828"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5084312927"],"corresponding_institution_ids":["https://openalex.org/I4210116828"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16324466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"11","first_page":"248","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9879000186920166,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.9879000186920166,"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":0.9821000099182129,"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/T12702","display_name":"Brain Tumor Detection and Classification","score":0.9790999889373779,"subfield":{"id":"https://openalex.org/subfields/2808","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/residual-neural-network","display_name":"Residual neural network","score":0.7099000215530396},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6118000149726868},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5989000201225281},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5648000240325928},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5521000027656555},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.46650001406669617},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.46230000257492065},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44620001316070557}],"concepts":[{"id":"https://openalex.org/C2944601119","wikidata":"https://www.wikidata.org/wiki/Q43744058","display_name":"Residual neural network","level":3,"score":0.7099000215530396},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6118000149726868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6101999878883362},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5989000201225281},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5648000240325928},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5521000027656555},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5030999779701233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4666000008583069},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.46650001406669617},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44620001316070557},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C193415008","wikidata":"https://www.wikidata.org/wiki/Q639681","display_name":"Network architecture","level":2,"score":0.2922999858856201},{"id":"https://openalex.org/C81363708","wikidata":"https://www.wikidata.org/wiki/Q17084460","display_name":"Convolutional neural network","level":2,"score":0.2858999967575073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2815000116825104},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C184175843","wikidata":"https://www.wikidata.org/wiki/Q7191425","display_name":"Piecewise linear manifold","level":3,"score":0.2524999976158142}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation13110248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13110248","pdf_url":"https://www.mdpi.com/2079-3197/13/11/248/pdf?version=1761124570","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:41b19550ebbb47ac96b05f165c044606","is_oa":true,"landing_page_url":"https://doaj.org/article/41b19550ebbb47ac96b05f165c044606","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 13, Iss 11, p 248 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation13110248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation13110248","pdf_url":"https://www.mdpi.com/2079-3197/13/11/248/pdf?version=1761124570","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327406","display_name":"Mudanjiang Normal University","ror":"https://ror.org/02dzkdp68"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415451282.pdf","grobid_xml":"https://content.openalex.org/works/W4415451282.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W2069143585","https://openalex.org/W2794284562","https://openalex.org/W2902413139","https://openalex.org/W2964137095","https://openalex.org/W3186661903","https://openalex.org/W3211463094","https://openalex.org/W4296292856","https://openalex.org/W4303953748","https://openalex.org/W4306290618","https://openalex.org/W4328026323","https://openalex.org/W4366978099","https://openalex.org/W4377240400","https://openalex.org/W4380880261","https://openalex.org/W4381736291","https://openalex.org/W4382366223","https://openalex.org/W4385342469","https://openalex.org/W4386076493","https://openalex.org/W4390975304","https://openalex.org/W4405305344","https://openalex.org/W4406406188","https://openalex.org/W4407467713","https://openalex.org/W4409852345"],"related_works":[],"abstract_inverted_index":{"Residual":[0],"Networks":[1],"(ResNet)":[2],"address":[3],"the":[4,61,100,120,123,129],"vanishing":[5],"gradient":[6],"problem":[7],"through":[8],"skip":[9],"connections":[10],"and":[11,89,96,110,156],"have":[12],"become":[13],"a":[14,36,41,50,58,80,103,145],"fundamental":[15],"architecture":[16],"for":[17,137,148],"computer":[18],"vision":[19],"tasks.":[20],"However,":[21],"standard":[22],"convolutional":[23],"layers":[24],"exhibit":[25],"limited":[26],"capacity":[27],"in":[28],"modeling":[29,138],"complex":[30,140],"nonlinear":[31,76],"relationships.":[32],"We":[33,84],"present":[34],"EKAResNet,":[35],"residual":[37],"backbone":[38],"enhanced":[39],"with":[40],"spline-based":[42],"Kolmogorov\u2013Arnold":[43],"Network":[44],"(KAN)":[45],"head.":[46,125],"Specifically,":[47],"we":[48],"introduce":[49],"KAN-based":[51],"Feature":[52],"Classification":[53],"Module":[54],"(KAN-FCM)":[55],"that":[56,153],"replaces":[57],"portion":[59],"of":[60,94,122,131],"traditional":[62],"fully":[63],"connected":[64],"classifier.":[65],"This":[66],"module":[67],"employs":[68],"piecewise":[69],"polynomial":[70],"(spline)":[71],"approximation":[72],"to":[73,107],"achieve":[74],"adaptive":[75],"mapping":[77],"while":[78],"maintaining":[79],"controlled":[81],"parameter":[82,104],"budget.":[83],"evaluate":[85],"EKAResNet":[86],"on":[87,115],"CIFAR-10":[88],"CIFAR-100,":[90],"achieving":[91],"top":[92],"accuracies":[93],"95.84%":[95],"80.06%,":[97],"respectively.":[98],"Importantly,":[99],"model":[101],"maintains":[102],"count":[105],"comparable":[106],"strong":[108],"ResNet":[109,136],"WideResNet":[111],"baselines.":[112],"Ablation":[113],"studies":[114],"spline":[116],"configurations":[117],"further":[118],"confirm":[119],"contribution":[121],"KAN":[124,133],"These":[126],"results":[127],"demonstrate":[128],"effectiveness":[130],"integrating":[132],"structures":[134],"into":[135],"high-dimensional,":[139],"features.":[141],"Our":[142],"work":[143],"highlights":[144],"promising":[146],"direction":[147],"designing":[149],"deep":[150],"learning":[151],"architectures":[152],"balance":[154],"accuracy":[155],"computational":[157],"efficiency.":[158]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-23T00:00:00"}
