{"id":"https://openalex.org/W2914551712","doi":"https://doi.org/10.1109/access.2019.2899035","title":"Fast Minimization of Fixed Polarity Reed-Muller Expressions","display_name":"Fast Minimization of Fixed Polarity Reed-Muller Expressions","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2914551712","doi":"https://doi.org/10.1109/access.2019.2899035","mag":"2914551712"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2899035","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2899035","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08639919.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08639919.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042951311","display_name":"Zhenxue He","orcid":"https://orcid.org/0000-0001-7041-8582"},"institutions":[{"id":"https://openalex.org/I108160477","display_name":"Hebei Agricultural University","ror":"https://ror.org/009fw8j44","country_code":"CN","type":"education","lineage":["https://openalex.org/I108160477"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenxue He","raw_affiliation_strings":["School of Information Science and Technology, Hebei Agricultural University, Baoding, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Hebei Agricultural University, Baoding, China","institution_ids":["https://openalex.org/I108160477"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027553782","display_name":"Limin Xiao","orcid":"https://orcid.org/0000-0002-9806-5851"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Limin Xiao","raw_affiliation_strings":["School of Computer Science and Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023297176","display_name":"Zhisheng Huo","orcid":"https://orcid.org/0000-0002-5366-0892"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhisheng Huo","raw_affiliation_strings":["School of Computer Science and Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100681435","display_name":"Tao Wang","orcid":"https://orcid.org/0000-0003-0944-4583"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Wang","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101399246","display_name":"Xiang Wang","orcid":"https://orcid.org/0000-0002-3063-4368"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiang Wang","raw_affiliation_strings":["School of Electronic and Information Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5042951311"],"corresponding_institution_ids":["https://openalex.org/I108160477"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.8671,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80256544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"24843","last_page":"24851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/minification","display_name":"Minification","score":0.6876381635665894},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6243257522583008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6143198609352112},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5313276648521423},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5246180295944214},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.5035108923912048},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4983489513397217},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.4906109869480133},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4460700452327728},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4437360167503357},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4156924784183502},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30824658274650574},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21954119205474854},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10044345259666443}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6876381635665894},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6243257522583008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6143198609352112},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5313276648521423},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5246180295944214},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.5035108923912048},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4983489513397217},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.4906109869480133},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4460700452327728},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4437360167503357},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4156924784183502},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30824658274650574},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21954119205474854},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10044345259666443},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2899035","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2899035","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08639919.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:006f7c9fcd9b4bb2a72cfb26439f859c","is_oa":true,"landing_page_url":"https://doaj.org/article/006f7c9fcd9b4bb2a72cfb26439f859c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 24843-24851 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2899035","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2899035","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08639919.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2082826544","display_name":null,"funder_award_id":"Postdoctoral","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2757315042","display_name":null,"funder_award_id":"60973106","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2958955785","display_name":null,"funder_award_id":"61772053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3326933546","display_name":null,"funder_award_id":"61232009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4188248396","display_name":null,"funder_award_id":"G2018204093","funder_id":"https://openalex.org/F4320322163","funder_display_name":"Natural Science Foundation of Hebei Province"},{"id":"https://openalex.org/G5760752404","display_name":null,"funder_award_id":"Projects","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5800652842","display_name":null,"funder_award_id":"6123200","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G584629651","display_name":null,"funder_award_id":"81571142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G625533415","display_name":null,"funder_award_id":"2018204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6721909089","display_name":null,"funder_award_id":"201801","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6922305976","display_name":null,"funder_award_id":"1772053","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8705854420","display_name":null,"funder_award_id":"2018M641154","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322163","display_name":"Natural Science Foundation of Hebei Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2914551712.pdf","grobid_xml":"https://content.openalex.org/works/W2914551712.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W379414750","https://openalex.org/W1533814328","https://openalex.org/W1595159159","https://openalex.org/W1989849151","https://openalex.org/W1997681006","https://openalex.org/W2022879129","https://openalex.org/W2061188544","https://openalex.org/W2122586924","https://openalex.org/W2123144696","https://openalex.org/W2136009808","https://openalex.org/W2151500628","https://openalex.org/W2343773422","https://openalex.org/W2544501147","https://openalex.org/W2597863352","https://openalex.org/W2609367643","https://openalex.org/W2733093232","https://openalex.org/W2750945255","https://openalex.org/W2751468074","https://openalex.org/W2757880308","https://openalex.org/W2789791159","https://openalex.org/W2886318460","https://openalex.org/W6649509758"],"related_works":["https://openalex.org/W2067147118","https://openalex.org/W2392013129","https://openalex.org/W2025427163","https://openalex.org/W2113777112","https://openalex.org/W2884994975","https://openalex.org/W2022006488","https://openalex.org/W2161410550","https://openalex.org/W1585212810","https://openalex.org/W2353965122","https://openalex.org/W2001283270"],"abstract_inverted_index":{"Logic":[0],"minimization":[1,28,114],"has":[2],"recently":[3],"attracted":[4],"significant":[5],"attention":[6],"because":[7],"in":[8,116],"many":[9],"applications":[10],"it":[11],"is":[12,43],"important":[13],"to":[14,44,135,140,148],"have":[15],"a":[16,26,71,150],"compact":[17],"representation":[18],"as":[19],"possible.":[20],"In":[21],"this":[22],"paper,":[23],"we":[24,131],"propose":[25],"fast":[27],"algorithm":[29,60,139],"(FMA)":[30],"of":[31,82,118,120,128],"fixed":[32],"polarity":[33,153],"Reed-Muller":[34,154],"expressions":[35],"(FPRMs).":[36],"The":[37,62,92,143],"main":[38],"idea":[39],"behind":[40],"the":[41,46,50,55,75,102,105,126,133],"FMA":[42,103,144],"search":[45],"minimum":[47,151],"FPRM":[48],"with":[49],"fewest":[51],"products":[52],"by":[53,80],"using":[54],"proposed":[56,83],"binary":[57,84],"differential":[58,137],"evolution":[59,138],"(BDE).":[61],"BDE":[63],"can":[64,145],"efficiently":[65],"maintain":[66],"population":[67],"diversity":[68],"and":[69,77,88,108,122],"achieve":[70],"better":[72],"tradeoff":[73],"between":[74],"exploration":[76],"exploitation":[78],"capabilities":[79],"use":[81,136],"random":[85],"mutation":[86],"operator":[87],"improved":[89],"selection":[90],"operator.":[91],"experimental":[93],"results":[94],"on":[95],"24":[96],"MCNC":[97],"benchmark":[98],"circuits":[99],"demonstrate":[100],"that":[101],"outperforms":[104],"genetic":[106,111],"algorithm-based":[107,112],"simulated":[109],"annealing":[110],"FPRMs":[113],"algorithms":[115],"terms":[117],"accuracy":[119],"solutions":[121],"solving":[123],"efficiency.":[124],"To":[125],"best":[127],"our":[129],"knowledge,":[130],"are":[132],"first":[134],"minimize":[141],"FPRMs.":[142],"be":[146],"extended":[147],"derive":[149],"mixed":[152],"expression.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
