{"id":"https://openalex.org/W2168502405","doi":"https://doi.org/10.1109/tc.2003.1197126","title":"Reduction of sizes of decision diagrams by autocorrelation functions","display_name":"Reduction of sizes of decision diagrams by autocorrelation functions","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2168502405","doi":"https://doi.org/10.1109/tc.2003.1197126","mag":"2168502405"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2003.1197126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1197126","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","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/A5010084548","display_name":"Mark G. Karpovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.G. Karpovsky","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Boston University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Boston University, Boston, MA, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007146500","display_name":"Ratko Stankovi\u0107","orcid":"https://orcid.org/0000-0002-5793-5558"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"R.S. Stankovic","raw_affiliation_strings":["Department of Computer Science, Faculty of Electronics, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Faculty of Electronics, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071299600","display_name":"Jaakko Astola","orcid":"https://orcid.org/0000-0002-2750-5311"},"institutions":[{"id":"https://openalex.org/I4210133110","display_name":"Tampere University","ror":null,"country_code":"FI","type":null,"lineage":["https://openalex.org/I4210133110"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"J.T. Astola","raw_affiliation_strings":["Tampere International Center for Signal Processing, Tampere University of Technology, Tampere, Finland"],"affiliations":[{"raw_affiliation_string":"Tampere International Center for Signal Processing, Tampere University of Technology, Tampere, Finland","institution_ids":["https://openalex.org/I4210133110"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010084548"],"corresponding_institution_ids":["https://openalex.org/I111088046"],"apc_list":null,"apc_paid":null,"fwci":3.5449,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.93417807,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"52","issue":"5","first_page":"592","last_page":"606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9912999868392944,"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/autocorrelation","display_name":"Autocorrelation","score":0.8889204263687134},{"id":"https://openalex.org/keywords/binary-decision-diagram","display_name":"Binary decision diagram","score":0.8408524394035339},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7540355920791626},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.7502427101135254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5464609265327454},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.513999879360199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4992232322692871},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4959441125392914},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.4898659884929657},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4420192241668701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37354549765586853},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.280389666557312},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13842913508415222},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1322447657585144},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11195462942123413}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.8889204263687134},{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.8408524394035339},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7540355920791626},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7502427101135254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5464609265327454},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.513999879360199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4992232322692871},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4959441125392914},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.4898659884929657},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4420192241668701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37354549765586853},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.280389666557312},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13842913508415222},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1322447657585144},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11195462942123413},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2003.1197126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1197126","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321651","display_name":"Technische Universiteit Eindhoven","ror":"https://ror.org/02c2kyt77"},{"id":"https://openalex.org/F4320322369","display_name":"Lappeenranta University of Technology","ror":"https://ror.org/0208vgz68"},{"id":"https://openalex.org/F4320335268","display_name":"Research Institute for Mathematical Sciences","ror":"https://ror.org/02kpeqv85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W31901315","https://openalex.org/W941013714","https://openalex.org/W1481714151","https://openalex.org/W1494035541","https://openalex.org/W1533965134","https://openalex.org/W1595402596","https://openalex.org/W1634111502","https://openalex.org/W1661244884","https://openalex.org/W1734662222","https://openalex.org/W2043520485","https://openalex.org/W2071403142","https://openalex.org/W2078740228","https://openalex.org/W2080267935","https://openalex.org/W2101953870","https://openalex.org/W2108077002","https://openalex.org/W2112121293","https://openalex.org/W2141472133","https://openalex.org/W2146486595","https://openalex.org/W2148068842","https://openalex.org/W2149479807","https://openalex.org/W2154682956","https://openalex.org/W2312235895","https://openalex.org/W2504426163","https://openalex.org/W4237055875","https://openalex.org/W4239569538","https://openalex.org/W4243823432","https://openalex.org/W4245449956","https://openalex.org/W4250447890","https://openalex.org/W4256467342","https://openalex.org/W4299835756","https://openalex.org/W4378744510","https://openalex.org/W6670457775"],"related_works":["https://openalex.org/W257150968","https://openalex.org/W3140601928","https://openalex.org/W1536220277","https://openalex.org/W2168881618","https://openalex.org/W86917440","https://openalex.org/W2057159994","https://openalex.org/W2109998394","https://openalex.org/W2110222718","https://openalex.org/W1608751818","https://openalex.org/W2133491672"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"optimization":[3],"of":[4,19,34,40,55,57,63,66,82],"decisions":[5],"diagrams":[6,24],"(DDs)":[7],"by":[8,43,59],"total":[9,70],"autocorrelation":[10,46,71],"functions.":[11,47,72],"We":[12],"present":[13,50],"an":[14],"efficient":[15],"algorithm":[16],"for":[17,32,53,76,80,94],"construction":[18],"linearly":[20],"transformed":[21,28],"binary":[22],"decision":[23],"(LT-BDDs)":[25],"and":[26,84,86],"Linearly":[27],"multiterminal":[29],"BDDs":[30],"(LT-MTBDDs)":[31],"systems":[33],"Boolean":[35],"functions,":[36],"based":[37],"on":[38,89,101],"linearization":[39],"these":[41],"functions":[42],"the":[44,64,69,98],"corresponding":[45],"Then,":[48],"we":[49],"a":[51,60,77],"method":[52,100],"reduction":[54,62],"sizes":[56],"DDs":[58,67],"level-by-level":[61],"width":[65],"using":[68],"The":[73],"approach":[74],"provides":[75],"simple":[78],"procedure":[79],"minimization":[81],"LT-BDDs":[83],"LT-MTBDDs":[85],"upper":[87],"bounds":[88],"their":[90],"sizes.":[91],"Experimental":[92],"results":[93],"benchmarks":[95],"illustrate":[96],"that":[97],"proposed":[99],"average":[102],"is":[103],"very":[104],"efficient.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}