{"id":"https://openalex.org/W1992086663","doi":"https://doi.org/10.1109/rivf.2013.6719865","title":"Simplicial nonnegative matrix factorization","display_name":"Simplicial nonnegative matrix factorization","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W1992086663","doi":"https://doi.org/10.1109/rivf.2013.6719865","mag":"1992086663"},"language":"en","primary_location":{"id":"doi:10.1109/rivf.2013.6719865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/rivf.2013.6719865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2013 RIVF International Conference on Computing & Communication Technologies - Research, Innovation, and Vision for Future (RIVF)","raw_type":"proceedings-article"},"type":"article","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":null,"display_name":"Duy Khuong Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Duy Khuong Nguyen","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology","Japan Advanced Institute of Science and Technology, Nomi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology","institution_ids":["https://openalex.org/I177738480"]},{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054854013","display_name":"Khoat Than","orcid":"https://orcid.org/0000-0001-8615-2854"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Khoat Than","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology","Japan Advanced Institute of Science and Technology, Nomi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology","institution_ids":["https://openalex.org/I177738480"]},{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111454535","display_name":"TuBao Ho","orcid":null},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tu Bao Ho","raw_affiliation_strings":["Japan Advanced Institute of Science and Technology","Japan Advanced Institute of Science and Technology, Nomi, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology","institution_ids":["https://openalex.org/I177738480"]},{"raw_affiliation_string":"Japan Advanced Institute of Science and Technology, Nomi, Japan","institution_ids":["https://openalex.org/I177738480"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177738480"],"apc_list":null,"apc_paid":null,"fwci":0.5525,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69095716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"47","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/non-negative-matrix-factorization","display_name":"Non-negative matrix factorization","score":0.874717116355896},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.6990582346916199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6576350331306458},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6504132747650146},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5914467573165894},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.5674563646316528},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5083140730857849},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4990108013153076},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.49445271492004395},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48423242568969727},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.40791600942611694},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34395885467529297},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32664406299591064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30354875326156616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28368622064590454}],"concepts":[{"id":"https://openalex.org/C152671427","wikidata":"https://www.wikidata.org/wiki/Q10843505","display_name":"Non-negative matrix factorization","level":4,"score":0.874717116355896},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.6990582346916199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6576350331306458},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6504132747650146},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5914467573165894},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.5674563646316528},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5083140730857849},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4990108013153076},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.49445271492004395},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48423242568969727},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.40791600942611694},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34395885467529297},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32664406299591064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30354875326156616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28368622064590454},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":2,"locations":[{"id":"doi:10.1109/rivf.2013.6719865","is_oa":false,"landing_page_url":"https://doi.org/10.1109/rivf.2013.6719865","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2013 RIVF International Conference on Computing & Communication Technologies - Research, Innovation, and Vision for Future (RIVF)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.590.3616","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.590.3616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jaist.ac.jp/~bao/papers/sNMF paper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1246381107","https://openalex.org/W1902027874","https://openalex.org/W2037001019","https://openalex.org/W2075665712","https://openalex.org/W2101139104","https://openalex.org/W2106582496","https://openalex.org/W2109706083","https://openalex.org/W2109722477","https://openalex.org/W2118718620","https://openalex.org/W2135029798","https://openalex.org/W2136171036","https://openalex.org/W2144359569","https://openalex.org/W2146913572","https://openalex.org/W2150695437","https://openalex.org/W2152353763","https://openalex.org/W2156448167","https://openalex.org/W2168103112","https://openalex.org/W2235103357","https://openalex.org/W2333836441","https://openalex.org/W2404400936","https://openalex.org/W3143596294","https://openalex.org/W4250589301","https://openalex.org/W6669466037","https://openalex.org/W6676279012","https://openalex.org/W6676367512","https://openalex.org/W6677759377","https://openalex.org/W6793301333"],"related_works":["https://openalex.org/W2127243424","https://openalex.org/W4390394189","https://openalex.org/W2037504162","https://openalex.org/W2792706544","https://openalex.org/W1568451138","https://openalex.org/W2539013788","https://openalex.org/W2156699640","https://openalex.org/W2045265907","https://openalex.org/W2972997031","https://openalex.org/W4294224199"],"abstract_inverted_index":{"Nonnegative":[0],"matrix":[1],"factorization":[2],"(NMF)":[3],"plays":[4],"a":[5,36,74],"crucial":[6],"role":[7,62],"in":[8,25,45,51,85],"machine":[9],"learning":[10],"and":[11,18],"data":[12],"mining,":[13],"especially":[14],"for":[15,81],"dimension":[16],"reduction":[17],"component":[19],"analysis.":[20],"It":[21],"is":[22],"employed":[23],"widely":[24],"different":[26],"fields":[27],"such":[28],"as":[29],"information":[30],"retrieval,":[31],"image":[32],"processing,":[33],"etc.":[34],"After":[35],"decade":[37],"of":[38,63],"fast":[39],"development,":[40],"severe":[41],"limitations":[42],"still":[43],"remained":[44],"NMFs":[46],"methods":[47],"including":[48],"high":[49],"complexity":[50],"instance":[52],"inference,":[53],"hard":[54],"to":[55,59,87],"control":[56],"sparsity":[57],"or":[58],"interpret":[60],"the":[61],"latent":[64],"components.":[65],"To":[66],"deal":[67],"with":[68],"these":[69],"limitations,":[70],"this":[71],"paper":[72],"proposes":[73],"new":[75],"formulation":[76],"by":[77],"adding":[78],"simplicial":[79],"constraints":[80],"NMF.":[82],"Experimental":[83],"results":[84],"comparison":[86],"other":[88],"state-of-the-art":[89],"approaches":[90],"are":[91],"highly":[92],"competitive.":[93]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}