{"id":"https://openalex.org/W4403277608","doi":"https://doi.org/10.1109/tnnls.2024.3461570","title":"Adaptive Structure Strategy for Designing Nonparametric Models Based on Differential Neural Networks Using Functional Projection","display_name":"Adaptive Structure Strategy for Designing Nonparametric Models Based on Differential Neural Networks Using Functional Projection","publication_year":2024,"publication_date":"2024-10-09","ids":{"openalex":"https://openalex.org/W4403277608","doi":"https://doi.org/10.1109/tnnls.2024.3461570","pmid":"https://pubmed.ncbi.nlm.nih.gov/39383067"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3461570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3461570","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5085791228","display_name":"Arthur Mukhamedov","orcid":"https://orcid.org/0000-0003-4344-6443"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":true,"raw_author_name":"Arthur Mukhamedov","raw_affiliation_strings":["Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4344-6443","affiliations":[{"raw_affiliation_string":"Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I4210150146"]},{"raw_affiliation_string":"Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083701446","display_name":"Grigory Bugriy","orcid":"https://orcid.org/0000-0002-6971-4189"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"Grigory Bugriy","raw_affiliation_strings":["Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6971-4189","affiliations":[{"raw_affiliation_string":"Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I4210150146"]},{"raw_affiliation_string":"Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005869409","display_name":"\u0418\u0440\u0438\u043d\u0430 \u041f\u043e\u043b\u0438\u043a\u0430\u043d\u043e\u0432\u0430","orcid":"https://orcid.org/0000-0002-5323-3487"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irina Polikanova","raw_affiliation_strings":["Laboratory of Convergent Research on Cognitive Processes, Federal Scientific Center for Psychological and Interdisciplinary Research, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Convergent Research on Cognitive Processes, Federal Scientific Center for Psychological and Interdisciplinary Research, Moscow, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079939647","display_name":"Isaac Cha\u00edrez","orcid":"https://orcid.org/0000-0002-7157-2052"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Isaac Chairez","raw_affiliation_strings":["Institute of Advanced Materials for Sustainable Manufacturing, Tecnológico de Monterrey, Zapopan, Jalisco, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-7157-2052","affiliations":[{"raw_affiliation_string":"Institute of Advanced Materials for Sustainable Manufacturing, Tecnológico de Monterrey, Zapopan, Jalisco, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015067771","display_name":"Alexander S. Poznyak","orcid":"https://orcid.org/0000-0002-5378-4545"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alexander Poznyak","raw_affiliation_strings":["Center of Investigation and Advanced Researching (CINVESTAV-IPN), IPN, Mexico City, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-5378-4545","affiliations":[{"raw_affiliation_string":"Center of Investigation and Advanced Researching (CINVESTAV-IPN), IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001704204","display_name":"\u0412\u0438\u043a\u0442\u043e\u0440 \u0427\u0435\u0440\u0442\u043e\u043f\u043e\u043b\u043e\u0445\u043e\u0432","orcid":"https://orcid.org/0000-0001-5945-6000"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I4210150146","display_name":"Moscow State University","ror":"https://ror.org/050a13t43","country_code":"TJ","type":"education","lineage":["https://openalex.org/I4210150146"]}],"countries":["RU","TJ"],"is_corresponding":false,"raw_author_name":"Viktor Chertopolokhov","raw_affiliation_strings":["Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5945-6000","affiliations":[{"raw_affiliation_string":"Center “Supersonic,” Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I4210150146"]},{"raw_affiliation_string":"Center “Supersonic”, Lomonosov Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5085791228"],"corresponding_institution_ids":["https://openalex.org/I19880235","https://openalex.org/I4210150146"],"apc_list":null,"apc_paid":null,"fwci":0.6579,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75419018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"36","issue":"6","first_page":"11164","last_page":"11175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.715399980545044,"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/T10320","display_name":"Neural Networks and Applications","score":0.715399980545044,"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/T14351","display_name":"Statistical and Computational Modeling","score":0.6258000135421753,"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/T14069","display_name":"Scientific Research Methodologies and Applications","score":0.6115000247955322,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonparametric-statistics","display_name":"Nonparametric statistics","score":0.7457116842269897},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6396676898002625},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5962806940078735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5919819474220276},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5619072318077087},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4402831196784973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2989071011543274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21817868947982788},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.1995295286178589},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10414764285087585}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.7457116842269897},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6396676898002625},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5962806940078735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5919819474220276},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5619072318077087},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4402831196784973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2989071011543274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21817868947982788},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.1995295286178589},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10414764285087585},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3461570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3461570","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:39383067","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39383067","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W108102262","https://openalex.org/W1545761024","https://openalex.org/W1551553193","https://openalex.org/W2007473161","https://openalex.org/W2064248494","https://openalex.org/W2071223574","https://openalex.org/W2103496339","https://openalex.org/W2104343326","https://openalex.org/W2109932450","https://openalex.org/W2170333278","https://openalex.org/W2324246348","https://openalex.org/W2763081248","https://openalex.org/W2789027062","https://openalex.org/W2965862774","https://openalex.org/W2975495759","https://openalex.org/W3038822267","https://openalex.org/W3086534927","https://openalex.org/W3155038649","https://openalex.org/W3167040424","https://openalex.org/W3187550742","https://openalex.org/W3211360427","https://openalex.org/W4220984033","https://openalex.org/W4244977694","https://openalex.org/W4250107139","https://openalex.org/W4251367745","https://openalex.org/W4286543379","https://openalex.org/W4289529703","https://openalex.org/W4307230233","https://openalex.org/W4313656815","https://openalex.org/W4316877074","https://openalex.org/W4378805020","https://openalex.org/W6730040086","https://openalex.org/W6782688363"],"related_works":["https://openalex.org/W4243114048","https://openalex.org/W2529605301","https://openalex.org/W4237896776","https://openalex.org/W4231665652","https://openalex.org/W1837630526","https://openalex.org/W2000242494","https://openalex.org/W2335589441","https://openalex.org/W4296826658","https://openalex.org/W1979697693","https://openalex.org/W2164312800"],"abstract_inverted_index":{"Differential":[0],"neural":[1],"networks":[2],"(DiNNs)":[3],"encounter":[4],"a":[5,44,73,78,95,145,209,239,245],"trade-off":[6,20],"between":[7],"the":[8,31,37,49,85,90,99,106,116,122,134,137,140,167,170,180,186,193,213,220,224,231],"approximation":[9,39,218,227],"quality":[10,135],"and":[11],"structural":[12,67],"complexity.":[13],"One":[14],"promising":[15],"approach":[16],"to":[17,98,114,223,242],"address":[18],"this":[19,41,103,236],"is":[21,70,176],"incorporating":[22],"dynamic":[23,60],"complexity":[24,132],"adjustment":[25],"as":[26,56],"an":[27,161],"integral":[28],"part":[29],"of":[30,51,87,101,110,124,136,169,188,215],"learning":[32],"process.":[33],"Taking":[34],"inspiration":[35],"from":[36],"Fourier":[38],"theory,":[40],"study":[42,237],"introduces":[43],"novel":[45],"method":[46,104,142,241],"for":[47,59],"adapting":[48],"architecture":[50],"DiNNs,":[52],"when":[53],"they":[54],"serve":[55],"nonparametric":[57],"identifiers":[58],"systems":[61],"with":[62,192],"uncertain":[63,125],"mathematical":[64],"models.":[65],"The":[66,172],"adaptation":[68],"process":[69],"executed":[71],"through":[72],"recursive":[74],"algorithm":[75],"based":[76],"on":[77],"modification":[79],"structure":[80,163,226,233],"strategy,":[81],"which":[82],"dynamically":[83],"adjusts":[84],"number":[86],"neurons":[88,151],"within":[89],"network's":[91],"structure.":[92],"By":[93],"applying":[94],"projection":[96],"operator":[97],"set":[100],"neurons,":[102],"identifies":[105],"most":[107],"relevant":[108],"sequence":[109],"sigmoidal":[111],"functions,":[112],"intending":[113],"minimize":[115],"mean":[117],"square":[118],"error":[119],"in":[120,130,153,184,212],"approximating":[121,185],"trajectories":[123],"systems.":[126],"This":[127],"simultaneous":[128],"reduction":[129],"overall":[131],"enhances":[133],"approximations.":[138],"Moreover,":[139],"proposed":[141,181],"can":[143],"implement":[144],"coarse-to-fine":[146],"approach,":[147],"wherein":[148],"selecting":[149],"necessary":[150],"occurs":[152],"multiple":[154],"steps.":[155],"These":[156],"steps":[157],"are":[158],"determined":[159,229],"by":[160,178,219,230],"adaptive":[162,232],"strategy":[164],"that":[165],"alters":[166],"topology":[168],"DiNN.":[171],"resulting":[173],"framework's":[174],"effectiveness":[175],"demonstrated":[177],"evaluating":[179],"identifier's":[182],"performance":[183],"evolution":[187],"real-life":[189],"data":[190],"associated":[191],"ocular":[194],"response":[195],"during":[196],"controlled":[197],"motions":[198],"or":[199],"virtual":[200],"reality":[201],"engagement.":[202],"In":[203],"both":[204],"experimental":[205],"cases,":[206],"there":[207],"was":[208],"noticeable":[210],"improvement":[211],"accuracy":[214],"eye":[216],"motion":[217],"DiNN,":[221],"thanks":[222],"variable":[225],"basis":[228],"strategy.":[234],"Overall,":[235],"presents":[238],"formal":[240],"automatically":[243],"determine":[244],"feasible":[246],"DiNN":[247],"topology.":[248]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2025-10-10T00:00:00"}