{"id":"https://openalex.org/W2114714544","doi":"https://doi.org/10.1109/tac.2014.2348216","title":"Logical Matrix Factorization With Application to Topological Structure Analysis of Boolean Network","display_name":"Logical Matrix Factorization With Application to Topological Structure Analysis of Boolean Network","publication_year":2014,"publication_date":"2014-08-15","ids":{"openalex":"https://openalex.org/W2114714544","doi":"https://doi.org/10.1109/tac.2014.2348216","mag":"2114714544"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2348216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2348216","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5100453276","display_name":"Haitao Li","orcid":"https://orcid.org/0000-0001-5322-5375"},"institutions":[{"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"]},{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Haitao Li","raw_affiliation_strings":["School of Control Science and Engineering, Nanyang Technological University, Jinan, Singapore","Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Nanyang Technological University, Jinan, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100784464","display_name":"Yuzhen Wang","orcid":"https://orcid.org/0000-0003-1299-4519"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuzhen Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China","Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Sch. of Control Sci. & Eng., ShanDong Univ., Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100453276"],"corresponding_institution_ids":["https://openalex.org/I154099455","https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":1.2811,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.79674766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"60","issue":"5","first_page":"1380","last_page":"1385"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10211","display_name":"Computational Drug Discovery Methods","score":0.9836000204086304,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.965399980545044,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.74861079454422},{"id":"https://openalex.org/keywords/logical-matrix","display_name":"Logical matrix","score":0.7316115498542786},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7184915542602539},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6211091876029968},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6010233163833618},{"id":"https://openalex.org/keywords/truth-table","display_name":"Truth table","score":0.5636184215545654},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.5047000646591187},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4796764850616455},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4607665538787842},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.45624274015426636},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.44593337178230286},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4380960464477539},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4370136260986328},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3640197217464447},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2877764105796814},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21203884482383728},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16953930258750916}],"concepts":[{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.74861079454422},{"id":"https://openalex.org/C163561899","wikidata":"https://www.wikidata.org/wiki/Q1994977","display_name":"Logical matrix","level":3,"score":0.7316115498542786},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7184915542602539},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6211091876029968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6010233163833618},{"id":"https://openalex.org/C56949724","wikidata":"https://www.wikidata.org/wiki/Q219079","display_name":"Truth table","level":2,"score":0.5636184215545654},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.5047000646591187},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4796764850616455},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4607665538787842},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45624274015426636},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.44593337178230286},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4380960464477539},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4370136260986328},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3640197217464447},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2877764105796814},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21203884482383728},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16953930258750916},{"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/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2348216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2348216","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3703776900","display_name":null,"funder_award_id":"NRF-CRP8-2011-03","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G6235728290","display_name":null,"funder_award_id":"G61374065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1512832987","https://openalex.org/W1902027874","https://openalex.org/W1971224531","https://openalex.org/W1971318969","https://openalex.org/W1972685147","https://openalex.org/W1977973707","https://openalex.org/W1981898075","https://openalex.org/W1989174562","https://openalex.org/W2004239486","https://openalex.org/W2006696725","https://openalex.org/W2007581236","https://openalex.org/W2017987071","https://openalex.org/W2024273375","https://openalex.org/W2024562445","https://openalex.org/W2030235975","https://openalex.org/W2030393377","https://openalex.org/W2033041501","https://openalex.org/W2053648336","https://openalex.org/W2056779070","https://openalex.org/W2058219513","https://openalex.org/W2058826280","https://openalex.org/W2062029454","https://openalex.org/W2077053100","https://openalex.org/W2077895748","https://openalex.org/W2080029934","https://openalex.org/W2132538571","https://openalex.org/W2136433622","https://openalex.org/W2143549867","https://openalex.org/W2149869214","https://openalex.org/W2486512961","https://openalex.org/W6665341259"],"related_works":["https://openalex.org/W2735569833","https://openalex.org/W1159523076","https://openalex.org/W4388918472","https://openalex.org/W83199760","https://openalex.org/W155681467","https://openalex.org/W4243221174","https://openalex.org/W4231391991","https://openalex.org/W2995617542","https://openalex.org/W2201850830","https://openalex.org/W1991822629"],"abstract_inverted_index":{"This":[0],"note":[1,130],"investigates":[2],"the":[3,10,18,48,58,65,83,90,95,101,107,112,124,135],"logical":[4,28,39,53,59,78,104],"matrix":[5,40,54,60],"factorization":[6,22,32,49,61],"with":[7],"application":[8],"to":[9,64],"topological":[11,66,91,136],"structure":[12,67,92,137],"analysis":[13,68],"of":[14,20,50,69,100,111,118,138],"Boolean":[15,72,114,139],"networks.":[16,140],"First,":[17],"concepts":[19],"both":[21],"and":[23,30,44,74,98],"rank":[24],"are":[25,34,55,131],"defined":[26],"for":[27,47,82],"matrices,":[29],"two":[31],"problems":[33],"then":[35],"studied.":[36],"Using":[37],"nonsingular":[38],"transformations,":[41],"several":[42],"necessary":[43],"sufficient":[45],"conditions":[46],"a":[51,70,75],"given":[52,71,84],"presented.":[56],"Second,":[57],"is":[62,80,87,106],"applied":[63],"network,":[73],"size-reduced":[76,103],"structure-equivalent":[77],"network":[79,105],"constructed":[81],"system.":[85],"It":[86],"shown":[88],"that":[89,110,123],"(including":[93],"all":[94],"fixed":[96],"points":[97],"cycles)":[99],"resulting":[102],"same":[108],"as":[109],"original":[113],"network.":[115],"The":[116],"study":[117],"an":[119],"illustrative":[120],"example":[121],"shows":[122],"new":[125],"results":[126],"presented":[127],"in":[128,133],"this":[129],"effective":[132],"analyzing":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3}],"updated_date":"2026-03-26T15:22:09.906841","created_date":"2025-10-10T00:00:00"}
