{"id":"https://openalex.org/W1993703268","doi":"https://doi.org/10.1109/coase.2014.6899417","title":"Approximation method to rank-one binary matrix factorization","display_name":"Approximation method to rank-one binary matrix factorization","publication_year":2014,"publication_date":"2014-08-01","ids":{"openalex":"https://openalex.org/W1993703268","doi":"https://doi.org/10.1109/coase.2014.6899417","mag":"1993703268"},"language":"en","primary_location":{"id":"doi:10.1109/coase.2014.6899417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2014.6899417","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Automation Science and Engineering (CASE)","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/A5070777072","display_name":"Zhongshun Shi","orcid":"https://orcid.org/0000-0003-3719-7321"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongshun Shi","raw_affiliation_strings":["Department of Industrial Engineering & Management, Peking University, Beijing, China","Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering & Management, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103878479","display_name":"Longfei Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longfei Wang","raw_affiliation_strings":["Department of Industrial Engineering & Management, Peking University, Beijing, China","Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering & Management, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101529205","display_name":"Leyuan Shi","orcid":"https://orcid.org/0000-0002-1397-2891"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leyuan Shi","raw_affiliation_strings":["Department of Industrial Engineering & Management, Peking University, Beijing, China","Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering & Management, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Department of Industrial Engineering & Management, College of Engineering, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":0.5638,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.57026549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"96","issue":null,"first_page":"800","last_page":"805"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9735999703407288,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9627000093460083,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6444464921951294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.569340169429779},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5561083555221558},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5431690216064453},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.539158821105957},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.5323318243026733},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5145604014396667},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5145203471183777},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.506447434425354},{"id":"https://openalex.org/keywords/randomized-rounding","display_name":"Randomized rounding","score":0.44731032848358154},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.4322758913040161},{"id":"https://openalex.org/keywords/low-rank-approximation","display_name":"Low-rank approximation","score":0.4289952516555786},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39803439378738403},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.39429959654808044},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3866501450538635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3395760655403137},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2476544976234436},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.2292926013469696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08229959011077881}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6444464921951294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.569340169429779},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5561083555221558},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5431690216064453},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.539158821105957},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.5323318243026733},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5145604014396667},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5145203471183777},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.506447434425354},{"id":"https://openalex.org/C32029473","wikidata":"https://www.wikidata.org/wiki/Q7292010","display_name":"Randomized rounding","level":3,"score":0.44731032848358154},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.4322758913040161},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.4289952516555786},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39803439378738403},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.39429959654808044},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3866501450538635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3395760655403137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2476544976234436},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2292926013469696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08229959011077881},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/coase.2014.6899417","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2014.6899417","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W60908300","https://openalex.org/W1597561788","https://openalex.org/W1601142477","https://openalex.org/W1971784203","https://openalex.org/W1972221303","https://openalex.org/W1977877565","https://openalex.org/W1989174562","https://openalex.org/W1994326354","https://openalex.org/W2102536337","https://openalex.org/W2104731482","https://openalex.org/W2106813372","https://openalex.org/W2125412267","https://openalex.org/W2140538566","https://openalex.org/W2158312129","https://openalex.org/W2166098345","https://openalex.org/W2167851099","https://openalex.org/W2319660501","https://openalex.org/W2401841443","https://openalex.org/W3099514962","https://openalex.org/W6602445783","https://openalex.org/W6635637936","https://openalex.org/W6675957326","https://openalex.org/W6678833645"],"related_works":["https://openalex.org/W2964108162","https://openalex.org/W2913385138","https://openalex.org/W2543884594","https://openalex.org/W2025050335","https://openalex.org/W2772729003","https://openalex.org/W2752756450","https://openalex.org/W1966079129","https://openalex.org/W2962894463","https://openalex.org/W2962895005","https://openalex.org/W4234897719"],"abstract_inverted_index":{"In":[0],"this":[1,26,66,85,96],"paper,":[2],"we":[3],"study":[4,72],"the":[5,18,48,54,57,61,68,73,78,101,104],"rank-one":[6,79],"binary":[7,31,80],"matrix":[8,81],"factorization":[9],"problem,":[10],"which":[11],"plays":[12],"a":[13,36,87],"key":[14],"role":[15],"in":[16],"analyzing":[17],"high":[19],"dimensional":[20],"discrete-attributed":[21],"datasets.":[22],"We":[23],"first":[24,69],"transform":[25],"problem":[27],"into":[28],"an":[29],"equivalent":[30],"quadratic":[32],"programming,":[33],"and":[34],"then":[35],"mixed-integer":[37],"linear":[38],"formulation":[39],"is":[40,51,67,93],"obtained":[41],"using":[42],"linearization":[43],"technique.":[44],"A":[45],"characterization":[46],"on":[47,84],"extreme":[49,74],"points":[50,75],"given":[52],"for":[53,95],"polyhedron":[55],"of":[56,63,77,103],"linearized":[58],"formulation.":[59],"To":[60],"best":[62],"our":[64],"knowledge,":[65],"time":[70],"to":[71],"property":[76],"factorization.":[82],"Based":[83],"property,":[86],"LP":[88],"rounding":[89],"based":[90],"2-approximation":[91],"algorithm":[92],"designed":[94],"problem.":[97],"Numerical":[98],"results":[99],"illustrate":[100],"efficiency":[102],"proposed":[105],"approximation":[106],"algorithm.":[107]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}