{"id":"https://openalex.org/W1535787225","doi":"https://doi.org/10.1109/cwit.2015.7255176","title":"Empirical support for the high-density subset sum decision threshold","display_name":"Empirical support for the high-density subset sum decision threshold","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1535787225","doi":"https://doi.org/10.1109/cwit.2015.7255176","mag":"1535787225"},"language":"en","primary_location":{"id":"doi:10.1109/cwit.2015.7255176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cwit.2015.7255176","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","raw_type":"proceedings-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/A5081095039","display_name":"Thomas O'Neil","orcid":null},"institutions":[{"id":"https://openalex.org/I24571045","display_name":"University of North Dakota","ror":"https://ror.org/04a5szx83","country_code":"US","type":"education","lineage":["https://openalex.org/I24571045"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"T. E. O'Neil","raw_affiliation_strings":["University of North Dakota, Grand Forks, ND, US"],"affiliations":[{"raw_affiliation_string":"University of North Dakota, Grand Forks, ND, US","institution_ids":["https://openalex.org/I24571045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065630093","display_name":"Travis Desell","orcid":"https://orcid.org/0000-0002-4082-0439"},"institutions":[{"id":"https://openalex.org/I24571045","display_name":"University of North Dakota","ror":"https://ror.org/04a5szx83","country_code":"US","type":"education","lineage":["https://openalex.org/I24571045"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Desell","raw_affiliation_strings":["Department of Computer Science, University of North Dakota, Grand Forks, ND"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of North Dakota, Grand Forks, ND","institution_ids":["https://openalex.org/I24571045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081095039"],"corresponding_institution_ids":["https://openalex.org/I24571045"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01815875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"160","last_page":"164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9987000226974487,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9987000226974487,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9976999759674072,"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/T12288","display_name":"Optimization and Search Problems","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/counterexample","display_name":"Counterexample","score":0.7999597191810608},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7651922702789307},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6921564936637878},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6133735775947571},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5585574507713318},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5347197651863098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.531025767326355},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5218797326087952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4702407717704773},{"id":"https://openalex.org/keywords/subset-sum-problem","display_name":"Subset sum problem","score":0.44701164960861206},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4425148665904999},{"id":"https://openalex.org/keywords/empirical-research","display_name":"Empirical research","score":0.4349168837070465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3847654163837433},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31028056144714355},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20087406039237976}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7999597191810608},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7651922702789307},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6921564936637878},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6133735775947571},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5585574507713318},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5347197651863098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.531025767326355},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5218797326087952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4702407717704773},{"id":"https://openalex.org/C109275537","wikidata":"https://www.wikidata.org/wiki/Q1154420","display_name":"Subset sum problem","level":3,"score":0.44701164960861206},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4425148665904999},{"id":"https://openalex.org/C120936955","wikidata":"https://www.wikidata.org/wiki/Q2155640","display_name":"Empirical research","level":2,"score":0.4349168837070465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3847654163837433},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31028056144714355},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20087406039237976},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cwit.2015.7255176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cwit.2015.7255176","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE 14th Canadian Workshop on Information Theory (CWIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W30665027","https://openalex.org/W195093955","https://openalex.org/W242122184","https://openalex.org/W1520154906","https://openalex.org/W1585237817","https://openalex.org/W1865416744","https://openalex.org/W1868947940","https://openalex.org/W1975442866","https://openalex.org/W2042654457","https://openalex.org/W2043702707","https://openalex.org/W2045492613","https://openalex.org/W2056109379","https://openalex.org/W2069650774","https://openalex.org/W2080188430","https://openalex.org/W2082158221","https://openalex.org/W2093360754","https://openalex.org/W2098478287","https://openalex.org/W2107567107","https://openalex.org/W2123120788","https://openalex.org/W2162041888","https://openalex.org/W2163173102","https://openalex.org/W2220626745","https://openalex.org/W2287409402","https://openalex.org/W2401610261","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W3030209423","https://openalex.org/W3149604617","https://openalex.org/W6607912857"],"related_works":["https://openalex.org/W4240581084","https://openalex.org/W2952569802","https://openalex.org/W4309222106","https://openalex.org/W4309876072","https://openalex.org/W2012590989","https://openalex.org/W4297939726","https://openalex.org/W2049141591","https://openalex.org/W4385681624","https://openalex.org/W2950489642","https://openalex.org/W1734188852"],"abstract_inverted_index":{"This":[0],"article":[1],"describes":[2],"several":[3],"properties":[4],"of":[5,41,48,60,67,78,87,97,125],"the":[6,11,23,34,50,58,61,76,107,123,126,131],"random":[7],"problem":[8,88],"space":[9],"for":[10,95,110],"Subset":[12,26],"Sum":[13,27],"problem,":[14,84],"derived":[15],"both":[16],"empirically":[17],"and":[18,57,69,129],"analytically.":[19],"Empirical":[20],"results":[21,124],"support":[22],"conjecture":[24,80],"that":[25],"instances":[28,89],"always":[29],"have":[30],"a":[31,39,45],"solution":[32],"when":[33],"input":[35],"set":[36,40],"S":[37],"is":[38,54],"n":[42,63,70],"elements":[43,66],"with":[44],"maximum":[46],"value":[47],"m,":[49],"target":[51],"sum":[52,59],"t":[53],"between":[55],"m":[56,98,114,134],"smallest":[62],"\u2212":[64],"1":[65],"S,":[68],"\u2265":[71],"\u230am/2\u230b":[72],"+":[73],"1.":[74],"While":[75],"proof":[77],"this":[79],"remains":[81],"an":[82],"open":[83],"exhaustive":[85],"enumeration":[86,132],"has":[90],"resulted":[91],"in":[92],"no":[93],"counterexamples":[94],"values":[96,111],"\u2264":[99],"49.":[100,136],"Sequential":[101],"processing":[102],"was":[103],"used":[104],"to":[105,113],"generate":[106],"empirical":[108],"data":[109],"up":[112],"=":[115,135],"40.":[116],"The":[117],"SubsetSum@Home":[118],"volunteer":[119],"computing":[120],"project":[121],"reproduced":[122],"sequential":[127],"code":[128],"extended":[130],"beyond":[133]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
