{"id":"https://openalex.org/W2141702548","doi":"https://doi.org/10.1162/089976698300017610","title":"A Systematic and Effective Supervised Learning Mechanism Based on Jacobian Rank Deficiency","display_name":"A Systematic and Effective Supervised Learning Mechanism Based on Jacobian Rank Deficiency","publication_year":1998,"publication_date":"1998-05-01","ids":{"openalex":"https://openalex.org/W2141702548","doi":"https://doi.org/10.1162/089976698300017610","mag":"2141702548","pmid":"https://pubmed.ncbi.nlm.nih.gov/9573418"},"language":"en","primary_location":{"id":"doi:10.1162/089976698300017610","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017610","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","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/A5110722867","display_name":"Guian Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guian Zhou","raw_affiliation_strings":["Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, U.S.A","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085653399","display_name":"Jennie Si","orcid":"https://orcid.org/0000-0002-0374-7404"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jennie Si","raw_affiliation_strings":["Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, U.S.A","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110722867"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":null,"apc_paid":null,"fwci":3.2116,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92767034,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"1031","last_page":"1045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9993000030517578,"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":0.9993000030517578,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/overfitting","display_name":"Overfitting","score":0.7576725482940674},{"id":"https://openalex.org/keywords/early-stopping","display_name":"Early stopping","score":0.7080824375152588},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6781090497970581},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6303260922431946},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5934951305389404},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.5861451029777527},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.5606144666671753},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5060166716575623},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45613130927085876},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.43039563298225403},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32087910175323486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20486664772033691}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.7576725482940674},{"id":"https://openalex.org/C5465570","wikidata":"https://www.wikidata.org/wiki/Q5326898","display_name":"Early stopping","level":3,"score":0.7080824375152588},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6781090497970581},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6303260922431946},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5934951305389404},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.5861451029777527},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.5606144666671753},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5060166716575623},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45613130927085876},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.43039563298225403},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32087910175323486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20486664772033691},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D007858","descriptor_name":"Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008568","descriptor_name":"Memory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008568","descriptor_name":"Memory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008568","descriptor_name":"Memory","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1162/089976698300017610","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017610","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:9573418","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9573418","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":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W133977063","https://openalex.org/W145476170","https://openalex.org/W1518194904","https://openalex.org/W1521469620","https://openalex.org/W1786620475","https://openalex.org/W2068484625","https://openalex.org/W2114766824","https://openalex.org/W2124776405","https://openalex.org/W2125389748","https://openalex.org/W2133671888","https://openalex.org/W2134273960","https://openalex.org/W2138484437","https://openalex.org/W2155482699","https://openalex.org/W2156913264","https://openalex.org/W2164359548"],"related_works":["https://openalex.org/W4254751698","https://openalex.org/W2989932438","https://openalex.org/W3011996705","https://openalex.org/W3040157805","https://openalex.org/W3178485579","https://openalex.org/W4288022214","https://openalex.org/W4287077353","https://openalex.org/W4254952533","https://openalex.org/W3099765033","https://openalex.org/W2141702548"],"abstract_inverted_index":{"Most":[0],"neural":[1],"network":[2],"applications":[3],"rely":[4],"on":[5,38],"the":[6,66,69,75,121,147,150],"fundamental":[7],"approximation":[8],"property":[9],"of":[10,18,47,68,109,149],"feedforward":[11,114],"networks.":[12,115],"Supervised":[13],"learning":[14,35,57,89],"is":[15,30],"a":[16,24,28,86,106],"means":[17],"implementing":[19],"this":[20,34],"approximate":[21],"mapping.":[22],"In":[23],"realistic":[25],"problem":[26],"setting,":[27],"mechanism":[29],"needed":[31],"to":[32,51,91,136,145],"devise":[33],"process":[36],"based":[37],"available":[39],"data,":[40],"which":[41],"encompasses":[42],"choosing":[43],"an":[44,55],"appropriate":[45],"set":[46],"parameters":[48],"in":[49,113],"order":[50],"avoid":[52],"overfitting,":[53],"using":[54],"efficient":[56],"algorithm":[58,90,96,117],"measured":[59,73],"by":[60,74,104],"computation":[61],"and":[62,78,80,99,124,132],"memory":[63],"complexities,":[64],"ensuring":[65],"accuracy":[67,131],"training":[70,76,98,122,130],"procedures":[71],"as":[72],"error,":[77],"testing":[79],"cross-validation":[81],"for":[82],"generalization.":[83],"We":[84],"develop":[85],"comprehensive":[87],"supervised":[88],"address":[92],"these":[93],"issues.":[94],"The":[95,116],"combines":[97],"pruning":[100],"into":[101],"one":[102],"procedure":[103],"utilizing":[105],"common":[107],"observation":[108],"Jacobian":[110],"rank":[111],"deficiency":[112],"not":[118],"only":[119],"reduces":[120],"time":[123],"overall":[125],"complexity":[126],"but":[127],"also":[128],"achieves":[129],"generalization":[133],"capabilities":[134],"comparable":[135],"more":[137],"standard":[138],"approaches.":[139],"Extensive":[140],"simulation":[141],"results":[142],"are":[143],"provided":[144],"demonstrate":[146],"effectiveness":[148],"algorithm.":[151]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
