{"id":"https://openalex.org/W2114735015","doi":"https://doi.org/10.1162/089976698300017241","title":"The Influence Function of Principal Component Analysis by Self-Organizing Rule","display_name":"The Influence Function of Principal Component Analysis by Self-Organizing Rule","publication_year":1998,"publication_date":"1998-08-01","ids":{"openalex":"https://openalex.org/W2114735015","doi":"https://doi.org/10.1162/089976698300017241","mag":"2114735015","pmid":"https://pubmed.ncbi.nlm.nih.gov/9698351"},"language":"en","primary_location":{"id":"doi:10.1162/089976698300017241","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017241","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/A5043843486","display_name":"Isao Higuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Isao Higuchi","raw_affiliation_strings":["Graduate University for Advanced Studies, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate University for Advanced Studies, Tokyo, Japan","institution_ids":["https://openalex.org/I200475212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060169206","display_name":"Shinto Eguchi","orcid":"https://orcid.org/0000-0002-3974-618X"},"institutions":[{"id":"https://openalex.org/I4210134673","display_name":"The Institute of Statistical Mathematics","ror":"https://ror.org/03jcejr58","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210134673","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shinto Eguchi","raw_affiliation_strings":["Institute of Statistical Mathematics, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Statistical Mathematics, Tokyo, Japan","institution_ids":["https://openalex.org/I4210134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043843486"],"corresponding_institution_ids":["https://openalex.org/I200475212"],"apc_list":null,"apc_paid":null,"fwci":0.4262,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.66129889,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"6","first_page":"1435","last_page":"1444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14257","display_name":"Advanced Measurement and Detection Methods","score":0.9553999900817871,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/principal-component-analysis","display_name":"Principal component analysis","score":0.9144127368927002},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7874721884727478},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.7576248645782471},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5778743624687195},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.5513536334037781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47991546988487244},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.47371023893356323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46515852212905884},{"id":"https://openalex.org/keywords/robust-principal-component-analysis","display_name":"Robust principal component analysis","score":0.44822341203689575},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43429118394851685},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4331720471382141},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39778992533683777},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3491958677768707},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1860790252685547}],"concepts":[{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.9144127368927002},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7874721884727478},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.7576248645782471},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5778743624687195},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.5513536334037781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47991546988487244},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.47371023893356323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46515852212905884},{"id":"https://openalex.org/C2777749129","wikidata":"https://www.wikidata.org/wiki/Q17148469","display_name":"Robust principal component analysis","level":3,"score":0.44822341203689575},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43429118394851685},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4331720471382141},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39778992533683777},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3491958677768707},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1860790252685547},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1162/089976698300017241","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976698300017241","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:9698351","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9698351","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W35145869","https://openalex.org/W1979573625","https://openalex.org/W1989898472","https://openalex.org/W2006327398","https://openalex.org/W2091507279","https://openalex.org/W2098884960","https://openalex.org/W2432567885","https://openalex.org/W4248298350"],"related_works":["https://openalex.org/W2991135868","https://openalex.org/W3037121946","https://openalex.org/W4387454008","https://openalex.org/W4283792950","https://openalex.org/W2549425886","https://openalex.org/W2124460284","https://openalex.org/W2136668498","https://openalex.org/W2563483704","https://openalex.org/W2798801347","https://openalex.org/W3124370832"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,48,65,76,99],"concerned":[3],"with":[4],"a":[5,92],"neural":[6],"network":[7],"approach":[8],"to":[9,78,85,101],"principal":[10,62,87],"component":[11,63,88],"analysis":[12],"(PCA).":[13],"An":[14],"algorithm":[15,45],"for":[16],"PCA":[17],"by":[18,33,50,95],"the":[19,30,41,44,52,61,74,86,96,103],"self-organizing":[20,97],"rule":[21,98],"has":[22],"been":[23],"proposed":[24,100],"and":[25,35],"its":[26],"robustness":[27,42],"observed":[28],"through":[29],"simulation":[31],"study":[32],"Xu":[34],"Yuille":[36],"(1995).":[37],"In":[38,90],"this":[39,72],"article,":[40],"of":[43,54,60,105],"against":[46,81],"outliers":[47],"investigated":[49],"using":[51],"theory":[53],"influence":[55,58,104],"function.":[56],"The":[57],"function":[59],"vector":[64],"given":[66],"in":[67,107],"an":[68],"explicit":[69],"form.":[70],"Through":[71],"expression,":[73],"method":[75],"shown":[77],"be":[79],"robust":[80],"any":[82],"directions":[83],"orthogonal":[84],"vector.":[89],"addition,":[91],"statistic":[93],"generated":[94],"assess":[102],"data":[106],"PCA.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
