{"id":"https://openalex.org/W1666572731","doi":"https://doi.org/10.1017/s0963548315000358","title":"Probabilistic Divide-and-Conquer: A New Exact Simulation Method, With Integer Partitions as an Example","display_name":"Probabilistic Divide-and-Conquer: A New Exact Simulation Method, With Integer Partitions as an Example","publication_year":2016,"publication_date":"2016-01-22","ids":{"openalex":"https://openalex.org/W1666572731","doi":"https://doi.org/10.1017/s0963548315000358","mag":"1666572731"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548315000358","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548315000358","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/85C6175903F96D32609D1BF6820A4664/S0963548315000358a.pdf/div-class-title-probabilistic-divide-and-conquer-a-new-exact-simulation-method-with-integer-partitions-as-an-example-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/85C6175903F96D32609D1BF6820A4664/S0963548315000358a.pdf/div-class-title-probabilistic-divide-and-conquer-a-new-exact-simulation-method-with-integer-partitions-as-an-example-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060984153","display_name":"Richard Arratia","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I2800817003","display_name":"California Southern University","ror":"https://ror.org/058zz0t50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800817003"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RICHARD ARRATIA","raw_affiliation_strings":["Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA (e-mail:","University of Southern California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA (e-mail:","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"University of Southern California","institution_ids":["https://openalex.org/I2800817003","https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065374899","display_name":"Stephen DeSalvo","orcid":"https://orcid.org/0000-0003-0093-4674"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"STEPHEN DeSALVO","raw_affiliation_strings":["Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90024, USA (e-mail:","University of California\u2013Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California Los Angeles, Los Angeles, CA 90024, USA (e-mail:","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"University of California\u2013Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4341,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.77183749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"3","first_page":"324","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.998199999332428,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.998199999332428,"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/T11269","display_name":"Algorithms and Data Compression","score":0.996999979019165,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/divide-and-conquer-algorithms","display_name":"Divide and conquer algorithms","score":0.8617109656333923},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.7769773006439209},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.6798507571220398},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5612093806266785},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5229435563087463},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5048023462295532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49660736322402954},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.45701152086257935},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41782164573669434},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.41725990176200867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3932075500488281},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3594142198562622},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34246546030044556},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30931520462036133},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07401561737060547}],"concepts":[{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.8617109656333923},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7769773006439209},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.6798507571220398},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5612093806266785},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5229435563087463},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5048023462295532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49660736322402954},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.45701152086257935},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41782164573669434},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.41725990176200867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3932075500488281},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3594142198562622},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34246546030044556},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30931520462036133},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07401561737060547},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","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":5,"locations":[{"id":"doi:10.1017/s0963548315000358","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548315000358","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/85C6175903F96D32609D1BF6820A4664/S0963548315000358a.pdf/div-class-title-probabilistic-divide-and-conquer-a-new-exact-simulation-method-with-integer-partitions-as-an-example-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1110.3856","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1110.3856","pdf_url":"https://arxiv.org/pdf/1110.3856","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1666572731","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1110.3856v7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.5053","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.5053","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1110.3856.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1110.3856","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1110.3856","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1017/s0963548315000358","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548315000358","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/85C6175903F96D32609D1BF6820A4664/S0963548315000358a.pdf/div-class-title-probabilistic-divide-and-conquer-a-new-exact-simulation-method-with-integer-partitions-as-an-example-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1666572731.pdf","grobid_xml":"https://content.openalex.org/works/W1666572731.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1498690830","https://openalex.org/W1550603695","https://openalex.org/W1980578426","https://openalex.org/W1982202832","https://openalex.org/W1985163394","https://openalex.org/W1991374982","https://openalex.org/W1994253151","https://openalex.org/W2004035056","https://openalex.org/W2011191879","https://openalex.org/W2013410955","https://openalex.org/W2013832448","https://openalex.org/W2015438050","https://openalex.org/W2016968046","https://openalex.org/W2017499564","https://openalex.org/W2025382429","https://openalex.org/W2033900415","https://openalex.org/W2036306946","https://openalex.org/W2043046702","https://openalex.org/W2049807504","https://openalex.org/W2061908705","https://openalex.org/W2063302961","https://openalex.org/W2064488687","https://openalex.org/W2064975723","https://openalex.org/W2065294359","https://openalex.org/W2075823672","https://openalex.org/W2092575069","https://openalex.org/W2095644835","https://openalex.org/W2099111195","https://openalex.org/W2125838758","https://openalex.org/W2152369819","https://openalex.org/W2152828142","https://openalex.org/W2161973223","https://openalex.org/W2215054329","https://openalex.org/W2318076643","https://openalex.org/W2324367983","https://openalex.org/W2343552869","https://openalex.org/W2949824247","https://openalex.org/W2963534231","https://openalex.org/W2996041333","https://openalex.org/W3103670057","https://openalex.org/W3145128584","https://openalex.org/W3158027121","https://openalex.org/W6651963218"],"related_works":["https://openalex.org/W2963094082","https://openalex.org/W2335990974","https://openalex.org/W1666834859","https://openalex.org/W3185578166","https://openalex.org/W2257807048","https://openalex.org/W3087160486","https://openalex.org/W2070684734","https://openalex.org/W2116671197","https://openalex.org/W2406817568","https://openalex.org/W2280253968","https://openalex.org/W2106183852","https://openalex.org/W76950382","https://openalex.org/W2787450728","https://openalex.org/W104377239","https://openalex.org/W2989707762","https://openalex.org/W1573058882","https://openalex.org/W1599014020","https://openalex.org/W2134710070","https://openalex.org/W2398806436","https://openalex.org/W1643794750"],"abstract_inverted_index":{"We":[0,40,62],"propose":[1],"a":[2,38,46,54,65,86],"new":[3],"method,":[4],"probabilistic":[5,51,68],"divide-and-conquer,":[6],"for":[7,44,70],"improving":[8],"the":[9,16,29,58,78,92],"success":[10],"probability":[11],"in":[12,82,91],"rejection":[13,30,59],"sampling.":[14],"For":[15],"example":[17],"of":[18,50,57,67,77,94],"integer":[19],"partitions,":[20],"there":[21],"is":[22,89],"an":[23],"ideal":[24],"recursive":[25],"scheme":[26],"which":[27,45],"improves":[28],"cost":[31,87],"from":[32],"asymptotically":[33],"order":[34,83],"n":[35],"3/4":[36],"to":[37,84],"constant.":[39],"show":[41],"other":[42],"examples":[43],"non-recursive,":[47],"one-time":[48],"application":[49],"divide-and-conquer":[52,69],"removes":[53],"substantial":[55],"fraction":[56],"sampling":[60],"cost.":[61],"also":[63],"present":[64],"variation":[66],"generating":[71],"i.i.d.":[72],"samples":[73],"that":[74,88],"exploits":[75],"features":[76],"coupon":[79],"collector's":[80],"problem,":[81],"obtain":[85],"sublinear":[90],"number":[93],"samples.":[95]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}
