{"id":"https://openalex.org/W1963598624","doi":"https://doi.org/10.1007/s00453-009-9331-2","title":"Structural Identifiability in Low-Rank Matrix Factorization","display_name":"Structural Identifiability in Low-Rank Matrix Factorization","publication_year":2009,"publication_date":"2009-06-29","ids":{"openalex":"https://openalex.org/W1963598624","doi":"https://doi.org/10.1007/s00453-009-9331-2","mag":"1963598624"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-009-9331-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9331-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-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":"https://openalex.org/A5108072835","display_name":"Epameinondas Fritzilas","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Epameinondas Fritzilas","raw_affiliation_strings":["Faculty of Technology, Bielefeld University, Bielefeld, Germany","Bielefeld University,Faculty of Technology,Bielefeld,Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Technology, Bielefeld University, Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Bielefeld University,Faculty of Technology,Bielefeld,Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027970574","display_name":"Martin Milani\u010d","orcid":"https://orcid.org/0000-0002-8222-8097"},"institutions":[{"id":"https://openalex.org/I118905719","display_name":"University of Primorska","ror":"https://ror.org/05xefg082","country_code":"SI","type":"education","lineage":["https://openalex.org/I118905719"]}],"countries":["SI"],"is_corresponding":true,"raw_author_name":"Martin Milani\u010d","raw_affiliation_strings":["Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper, Slovenia","University of Primorska Faculty of Mathematics, Natural Sciences and Information Technologies Koper Slovenia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska, Koper, Slovenia","institution_ids":["https://openalex.org/I118905719"]},{"raw_affiliation_string":"University of Primorska Faculty of Mathematics, Natural Sciences and Information Technologies Koper Slovenia","institution_ids":["https://openalex.org/I118905719"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059606670","display_name":"Sven Rahmann","orcid":"https://orcid.org/0000-0002-8536-6065"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sven Rahmann","raw_affiliation_strings":["Computer Science 11, Technische Universit\u00e4t Dortmund, Dortmund, Germany","Technische Universit\u00e4t Dortmund, Computer Science 11, Dortmund, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science 11, Technische Universit\u00e4t Dortmund, Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Technische Universit\u00e4t Dortmund, Computer Science 11, Dortmund, Germany#TAB#","institution_ids":["https://openalex.org/I200332995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003686161","display_name":"Yasmin Rios Solis","orcid":"https://orcid.org/0000-0003-3785-4440"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Yasmin A. Rios-Solis","raw_affiliation_strings":["Graduate Program of Systems Engineering, UANL, Monterrey, Mexico","UANL, Graduate Program of Systems Engineering, Monterrey, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate Program of Systems Engineering, UANL, Monterrey, Mexico","institution_ids":["https://openalex.org/I169046204"]},{"raw_affiliation_string":"UANL, Graduate Program of Systems Engineering, Monterrey, Mexico#TAB#","institution_ids":["https://openalex.org/I169046204"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5003686161","https://openalex.org/A5027970574","https://openalex.org/A5059606670","https://openalex.org/A5108072835"],"corresponding_institution_ids":["https://openalex.org/I118905719","https://openalex.org/I169046204","https://openalex.org/I200332995","https://openalex.org/I20121455"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0697,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76678156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"56","issue":"3","first_page":"313","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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":0.996399998664856,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9753000140190125,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.8902039527893066},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6095763444900513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5241047143936157},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.522515058517456},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5125205516815186},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4915548264980316},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.49133697152137756},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.48727619647979736},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.48664745688438416},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47407546639442444},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.44937896728515625},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.4144403040409088},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38952887058258057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3561854958534241},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29818692803382874}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8902039527893066},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6095763444900513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5241047143936157},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.522515058517456},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5125205516815186},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4915548264980316},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.49133697152137756},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.48727619647979736},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.48664745688438416},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47407546639442444},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.44937896728515625},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.4144403040409088},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38952887058258057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3561854958534241},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29818692803382874},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-009-9331-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-009-9331-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W612917828","https://openalex.org/W1498991996","https://openalex.org/W1522351268","https://openalex.org/W1533712308","https://openalex.org/W1576820654","https://openalex.org/W1902027874","https://openalex.org/W1974672421","https://openalex.org/W2003159902","https://openalex.org/W2011039300","https://openalex.org/W2029828838","https://openalex.org/W2048652909","https://openalex.org/W2069645361","https://openalex.org/W2107209294","https://openalex.org/W2110096996","https://openalex.org/W2113359929","https://openalex.org/W2136787567","https://openalex.org/W2153869178","https://openalex.org/W2157529519","https://openalex.org/W2158085979","https://openalex.org/W2336259629","https://openalex.org/W2340149117","https://openalex.org/W2476096155","https://openalex.org/W2611804663","https://openalex.org/W2798588639","https://openalex.org/W2913132751","https://openalex.org/W2988480584","https://openalex.org/W3039948875","https://openalex.org/W4285719527","https://openalex.org/W4300550233"],"related_works":["https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W2900187352","https://openalex.org/W2105626102","https://openalex.org/W2573470972","https://openalex.org/W1804526179","https://openalex.org/W2131038454","https://openalex.org/W112856298","https://openalex.org/W2026931330","https://openalex.org/W1970179431"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
