{"id":"https://openalex.org/W2022139970","doi":"https://doi.org/10.2478/v10006-012-0034-5","title":"Backpropagation generalized delta rule for the selective attention Sigma-if artificial neural network","display_name":"Backpropagation generalized delta rule for the selective attention Sigma-if artificial neural network","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2022139970","doi":"https://doi.org/10.2478/v10006-012-0034-5","mag":"2022139970"},"language":"en","primary_location":{"id":"doi:10.2478/v10006-012-0034-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0034-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0034-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.2478/v10006-012-0034-5","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030158771","display_name":"Maciej Huk","orcid":"https://orcid.org/0000-0003-0430-7141"},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Maciej Huk","raw_affiliation_strings":["Institute of Informatics Wrocaw University of Technology, Wyb. Wyspiaskiego 27, 50-370 Wrocaw, Poland","Institute of Informatics, Wroclaw University of Technology, Wyb. Wyspianskiego 27, 50-370 Wroclaw, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Informatics Wrocaw University of Technology, Wyb. Wyspiaskiego 27, 50-370 Wrocaw, Poland","institution_ids":["https://openalex.org/I11923345"]},{"raw_affiliation_string":"Institute of Informatics, Wroclaw University of Technology, Wyb. Wyspianskiego 27, 50-370 Wroclaw, Poland#TAB#","institution_ids":["https://openalex.org/I11923345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030158771"],"corresponding_institution_ids":["https://openalex.org/I11923345"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":2.652,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.90313006,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"22","issue":"2","first_page":"449","last_page":"459"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12676","display_name":"Machine Learning and ELM","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"}}],"keywords":[{"id":"https://openalex.org/keywords/backpropagation","display_name":"Backpropagation","score":0.9282003045082092},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7375364303588867},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6516417264938354},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.6440005898475647},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5943944454193115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5254741907119751},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5095017552375793},{"id":"https://openalex.org/keywords/learning-rule","display_name":"Learning rule","score":0.4420599043369293},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3270677328109741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24518665671348572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12988784909248352}],"concepts":[{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.9282003045082092},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7375364303588867},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6516417264938354},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.6440005898475647},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5943944454193115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5254741907119751},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5095017552375793},{"id":"https://openalex.org/C2779127903","wikidata":"https://www.wikidata.org/wiki/Q6510194","display_name":"Learning rule","level":3,"score":0.4420599043369293},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3270677328109741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24518665671348572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12988784909248352},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/v10006-012-0034-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0034-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0034-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.390.7410","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.390.7410","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://matwbn.icm.edu.pl/ksiazki/amc/amc22/amc22217.pdf","raw_type":"text"},{"id":"pmh:oai:zbc.uz.zgora.pl:46994","is_oa":false,"landing_page_url":"https://zbc.uz.zgora.pl/dlibra/docmetadata?showContent=true&id=46994","pdf_url":null,"source":{"id":"https://openalex.org/S4306400400","display_name":"Digital library of Zielona Gora (University of Zielona G\u00f3ra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I46305939","host_organization_name":"University of Zielona G\u00f3ra","host_organization_lineage":["https://openalex.org/I46305939"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.amcs.uz.zgora.pl/?action=paper&paper=625","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.2478/v10006-012-0034-5","is_oa":true,"landing_page_url":"https://doi.org/10.2478/v10006-012-0034-5","pdf_url":"https://sciendo.com/pdf/10.2478/v10006-012-0034-5","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022139970.pdf","grobid_xml":"https://content.openalex.org/works/W2022139970.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W18965947","https://openalex.org/W150571132","https://openalex.org/W1547395881","https://openalex.org/W1553372013","https://openalex.org/W1599432677","https://openalex.org/W1965727868","https://openalex.org/W1987292658","https://openalex.org/W1993988509","https://openalex.org/W2032010188","https://openalex.org/W2033847429","https://openalex.org/W2045466646","https://openalex.org/W2047662021","https://openalex.org/W2050905760","https://openalex.org/W2052725676","https://openalex.org/W2056352560","https://openalex.org/W2071363955","https://openalex.org/W2081070226","https://openalex.org/W2083396462","https://openalex.org/W2084231203","https://openalex.org/W2094314072","https://openalex.org/W2097804262","https://openalex.org/W2107201351","https://openalex.org/W2112325651","https://openalex.org/W2115441154","https://openalex.org/W2118615399","https://openalex.org/W2120886260","https://openalex.org/W2141932928","https://openalex.org/W2144994141","https://openalex.org/W2169165936","https://openalex.org/W2403300173","https://openalex.org/W2506766116","https://openalex.org/W2598912124","https://openalex.org/W3207342693","https://openalex.org/W4232218849","https://openalex.org/W4300402905"],"related_works":["https://openalex.org/W4323655119","https://openalex.org/W4322764270","https://openalex.org/W4375846521","https://openalex.org/W2096446968","https://openalex.org/W4367190755","https://openalex.org/W134701156","https://openalex.org/W3034464575","https://openalex.org/W1967604662","https://openalex.org/W3105804176","https://openalex.org/W2153337710"],"abstract_inverted_index":{"Backpropagation":[0],"generalized":[1,108],"delta":[2,93,109],"rule":[3,94,110],"for":[4,43,86,95,105,111],"the":[5,15,55,59,65,69,78,87,90,96,106,112],"selective":[6,50],"attention":[7,51],"Sigma-if":[8,16,63,70,113],"artificial":[9,17],"neural":[10,18,114],"network":[11,19,30,71,98,115],"In":[12],"this":[13],"paper":[14],"model":[20],"is":[21,24,116],"considered,":[22],"which":[23],"a":[25,39,119],"generalization":[26],"of":[27,46,58,62,68,121],"an":[28,73],"MLP":[29,97],"with":[31,77],"sigmoidal":[32],"neurons.":[33],"It":[34],"was":[35],"found":[36],"to":[37],"be":[38,100],"potentially":[40],"universal":[41],"tool":[42],"automatic":[44],"creation":[45],"distributed":[47],"classification":[48],"and":[49,118],"systems.":[52],"To":[53],"overcome":[54],"high":[56],"nonlinearity":[57],"aggregation":[60],"function":[61],"neurons,":[64],"training":[66],"process":[67],"combines":[72],"error":[74],"backpropagation":[75,92,107],"algorithm":[76],"self-consistency":[79],"paradigm":[80],"widely":[81],"used":[82],"in":[83],"physics.":[84],"But":[85],"same":[88],"reason,":[89],"classical":[91],"cannot":[99],"used.":[101],"The":[102],"general":[103],"equation":[104],"derived":[117],"selection":[120],"experimental":[122],"results":[123],"that":[124],"confirm":[125],"its":[126],"usefulness":[127],"are":[128],"presented.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
