{"id":"https://openalex.org/W3009732007","doi":"https://doi.org/10.1109/icsai48974.2019.9010306","title":"A Damped Newton Algorithm for Nonnegative Matrix Factorization Based on Alpha-Divergence","display_name":"A Damped Newton Algorithm for Nonnegative Matrix Factorization Based on Alpha-Divergence","publication_year":2019,"publication_date":"2019-11-01","ids":{"openalex":"https://openalex.org/W3009732007","doi":"https://doi.org/10.1109/icsai48974.2019.9010306","mag":"3009732007"},"language":"en","primary_location":{"id":"doi:10.1109/icsai48974.2019.9010306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsai48974.2019.9010306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Systems and Informatics (ICSAI)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"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/A5110092402","display_name":"Takehiro Sano","orcid":null},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takehiro Sano","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036840493","display_name":"Tsuyoshi Migita","orcid":"https://orcid.org/0009-0006-3242-2090"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsuyoshi Migita","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016732558","display_name":"Norikazu Takahashi","orcid":"https://orcid.org/0000-0001-8222-5593"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Norikazu Takahashi","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan","institution_ids":["https://openalex.org/I163770644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I163770644"],"apc_list":null,"apc_paid":null,"fwci":0.6258,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66249777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"401","issue":null,"first_page":"463","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9617999792098999,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6967586278915405},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6728768944740295},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6181896924972534},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6178790330886841},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6112231016159058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5573771595954895},{"id":"https://openalex.org/keywords/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.5324208736419678},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49755361676216125},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4948243498802185},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.47015929222106934},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.46352726221084595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3354932963848114},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.32523229718208313},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2655937075614929},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07650122046470642},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07008436322212219}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6967586278915405},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6728768944740295},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6181896924972534},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6178790330886841},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6112231016159058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5573771595954895},{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.5324208736419678},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49755361676216125},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4948243498802185},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.47015929222106934},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.46352726221084595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3354932963848114},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.32523229718208313},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2655937075614929},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07650122046470642},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07008436322212219},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsai48974.2019.9010306","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsai48974.2019.9010306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Systems and Informatics (ICSAI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1246381107","https://openalex.org/W1520168181","https://openalex.org/W1547060653","https://openalex.org/W1902027874","https://openalex.org/W1994292689","https://openalex.org/W2038614136","https://openalex.org/W2039844283","https://openalex.org/W2054954154","https://openalex.org/W2059745395","https://openalex.org/W2113359929","https://openalex.org/W2114508388","https://openalex.org/W2135029798","https://openalex.org/W2149497493","https://openalex.org/W2168446235","https://openalex.org/W2186467072","https://openalex.org/W2742302016","https://openalex.org/W2793316472","https://openalex.org/W2802627035","https://openalex.org/W2939617867","https://openalex.org/W3143596294","https://openalex.org/W4253284464","https://openalex.org/W6632787991","https://openalex.org/W6680012447","https://openalex.org/W6991377603"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2539013788","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W2146544734"],"abstract_inverted_index":{"A":[0],"novel":[1],"Newton-type":[2],"algorithm":[3,19,25,54,73],"for":[4,45,88],"nonnegative":[5],"matrix":[6],"factorization":[7],"based":[8],"on":[9],"\u03b1":[10,81],"-divergence":[11],"is":[12,20,49,66,74],"proposed":[13,18,53,72],"in":[14,60],"this":[15],"paper.":[16],"The":[17],"a":[21,37,41],"cyclic":[22],"coordinate":[23,34],"descent":[24],"that":[26,51,70],"decreases":[27],"the":[28,52,56,61,71,78],"objective":[29],"function":[30],"value":[31,79],"along":[32],"one":[33],"direction":[35],"at":[36],"time":[38],"by":[39],"using":[40],"damped":[42],"Newton":[43],"method":[44],"monotone":[46],"equations.":[47],"It":[48,65],"proved":[50],"has":[55],"global":[57],"convergence":[58],"property":[59],"sense":[62],"of":[63,77,80,91],"Zangwill.":[64],"also":[67],"shown":[68],"experimentally":[69],"fast,":[75],"independent":[76],"while":[82],"conventional":[83],"algorithms":[84],"become":[85],"very":[86],"slow":[87],"some":[89],"values":[90],"\u03b1.":[92]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}