{"id":"https://openalex.org/W2401280342","doi":"https://doi.org/10.1007/s00037-016-0125-z","title":"Information-theoretic approximations of the nonnegative rank","display_name":"Information-theoretic approximations of the nonnegative rank","publication_year":2016,"publication_date":"2016-05-23","ids":{"openalex":"https://openalex.org/W2401280342","doi":"https://doi.org/10.1007/s00037-016-0125-z","mag":"2401280342"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-016-0125-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0125-z","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","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/A5052424155","display_name":"G\u00e1bor Braun","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G\u00e1bor Braun","raw_affiliation_strings":["ISyE, Georgia Institute of Technology, Atlanta, GA, 30332, USA","ISyE, Georgia Institute of Technology, Atlanta, USA","ISyE, Georgia Institute of Technology, Atlanta, USA 30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, USA 30332","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051676245","display_name":"Rahul Jain","orcid":"https://orcid.org/0000-0002-3649-6576"},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I4210114908","display_name":"UMI MajuLab","ror":"https://ror.org/027jrtw17","country_code":"SG","type":"facility","lineage":["https://openalex.org/I165932596","https://openalex.org/I172675005","https://openalex.org/I201841394","https://openalex.org/I39804081","https://openalex.org/I4210114908"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Rahul Jain","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore, Singapore","MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore, Singapore and Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore, Singapore","institution_ids":["https://openalex.org/I4210114908"]},{"raw_affiliation_string":"MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654, Singapore, Singapore and Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596","https://openalex.org/I4210114908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083542323","display_name":"Troy Lee","orcid":"https://orcid.org/0000-0001-6912-2338"},"institutions":[{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Troy Lee","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Centre for Quantum Technologies, Nanyang Technological University, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Centre for Quantum Technologies, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043574831","display_name":"Sebastian Pokutta","orcid":"https://orcid.org/0000-0001-7365-3000"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sebastian Pokutta","raw_affiliation_strings":["ISyE, Georgia Institute of Technology, Atlanta, GA, 30332, USA","ISyE, Georgia Institute of Technology, Atlanta, USA","ISyE, Georgia Institute of Technology, Atlanta, USA 30332"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"ISyE, Georgia Institute of Technology, Atlanta, USA 30332","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5043574831","https://openalex.org/A5051676245","https://openalex.org/A5052424155","https://openalex.org/A5083542323"],"corresponding_institution_ids":["https://openalex.org/I115455960","https://openalex.org/I130701444","https://openalex.org/I165932596","https://openalex.org/I172675005","https://openalex.org/I4210114908"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7249,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.75090204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"26","issue":"1","first_page":"147","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9973000288009644,"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/T11716","display_name":"Random Matrices and Applications","score":0.9973000288009644,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9926000237464905,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9854000210762024,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7559877634048462},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7468110918998718},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6871791481971741},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6457172632217407},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6294412612915039},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5591309070587158},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.552730917930603},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47338929772377014},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.4333036541938782},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.42948687076568604},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4175361096858978},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.18847519159317017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12088778614997864},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09386470913887024}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7559877634048462},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7468110918998718},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6871791481971741},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6457172632217407},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6294412612915039},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5591309070587158},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.552730917930603},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47338929772377014},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.4333036541938782},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.42948687076568604},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4175361096858978},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18847519159317017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12088778614997864},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09386470913887024},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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},{"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:10.1007/s00037-016-0125-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0125-z","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"mag:2401280342","is_oa":false,"landing_page_url":"http://eccc.hpi-web.de/report/2013/158","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","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":24,"referenced_works":["https://openalex.org/W87237596","https://openalex.org/W1755753347","https://openalex.org/W1972778492","https://openalex.org/W1979790324","https://openalex.org/W1982283204","https://openalex.org/W1990029940","https://openalex.org/W2010730726","https://openalex.org/W2033871299","https://openalex.org/W2039156581","https://openalex.org/W2061987651","https://openalex.org/W2066620631","https://openalex.org/W2066627246","https://openalex.org/W2067114382","https://openalex.org/W2070486524","https://openalex.org/W2077658979","https://openalex.org/W2081052967","https://openalex.org/W2086467753","https://openalex.org/W2107917944","https://openalex.org/W2114607430","https://openalex.org/W2124172487","https://openalex.org/W2141432745","https://openalex.org/W2163322487","https://openalex.org/W2290482318","https://openalex.org/W2534717833"],"related_works":["https://openalex.org/W2291562724","https://openalex.org/W2061987651","https://openalex.org/W2340787257","https://openalex.org/W2141432745","https://openalex.org/W2107917944","https://openalex.org/W2070486524","https://openalex.org/W2039156581","https://openalex.org/W2033871299","https://openalex.org/W2010106582","https://openalex.org/W2990073718","https://openalex.org/W2574511727","https://openalex.org/W60403651","https://openalex.org/W2408516436","https://openalex.org/W1991253503","https://openalex.org/W3041514855","https://openalex.org/W2953144519","https://openalex.org/W2044630019","https://openalex.org/W50642151","https://openalex.org/W2949343847","https://openalex.org/W2810899983"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
