{"id":"https://openalex.org/W4414581778","doi":"https://doi.org/10.1137/1.9781611978971.89","title":"Efficient Online Random Sampling via Randomness Recycling","display_name":"Efficient Online Random Sampling via Randomness Recycling","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W4414581778","doi":"https://doi.org/10.1137/1.9781611978971.89"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611978971.89","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978971.89","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2505.18879","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109542140","display_name":"T. Draper","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas L. Draper","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009835778","display_name":"Feras A. Saad","orcid":"https://orcid.org/0000-0002-0505-795X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Feras A. Saad","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109542140"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00772749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2473","last_page":"2511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9452999830245972,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9452999830245972,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9236000180244446,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12761","display_name":"Data Stream Mining Techniques","score":0.9085999727249146,"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/randomness","display_name":"Randomness","score":0.7490000128746033},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.5087000131607056},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5041999816894531},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.49779999256134033},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4368000030517578},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42660000920295715},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.41670000553131104},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4065000116825104},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.3528999984264374},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.34450000524520874}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7490000128746033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7193999886512756},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.508899986743927},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.5087000131607056},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5041999816894531},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.49779999256134033},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4417000114917755},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4368000030517578},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42660000920295715},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.41670000553131104},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4065000116825104},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.3528999984264374},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.34299999475479126},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.34299999475479126},{"id":"https://openalex.org/C100279318","wikidata":"https://www.wikidata.org/wiki/Q467440","display_name":"Sample space","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.3301999866962433},{"id":"https://openalex.org/C14539891","wikidata":"https://www.wikidata.org/wiki/Q1070305","display_name":"Chernoff bound","level":2,"score":0.320499986410141},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.3118000030517578},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.30550000071525574},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28850001096725464},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2806999981403351},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C186515451","wikidata":"https://www.wikidata.org/wiki/Q228191","display_name":"Random sequence","level":3,"score":0.26460000872612},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.2547999918460846}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/1.9781611978971.89","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611978971.89","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2026 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2505.18879","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.18879","pdf_url":"https://arxiv.org/pdf/2505.18879","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":"pmh:doi:10.48550/arxiv.2505.18879","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2505.18879","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.18879","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2505.18879","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.18879","pdf_url":"https://arxiv.org/pdf/2505.18879","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,68],"article":[1],"studies":[2],"the":[3,59,76,110,126,154,194],"fundamental":[4],"problem":[5],"of":[6,34,58,75,92,115,121,158,193],"using":[7,65],"i.i.d.":[8,170],"coin":[9],"tosses":[10],"from":[11,172],"an":[12,41,48],"entropy":[13,51,119,206],"source":[14],"to":[15,40,88,202],"efficiently":[16],"generate":[17,169],"random":[18,32,195],"variables":[19],"\\(X_i":[20],"\\sim":[21],"P_i\\)":[22],"(\\(i":[23],"\\ge":[24],"1\\)),":[25],"where":[26],"\\((P_1,":[27],"P_2,":[28],"\\ldots)\\)":[29],"is":[30,109],"a":[31,90,173,182,191,199],"sequence":[33],"rational":[35],"discrete":[36],"probability":[37],"distributions":[38],"subject":[39],"arbitrary":[42],"stochastic":[43],"process.":[44],"Our":[45,176],"method":[46,123],"achieves":[47],"amortized":[49,205],"expected":[50],"cost":[52],"within":[53],"\\(\\varepsilon":[54],"\\gt":[55],"0\\)":[56],"bits":[57,100],"information-theoretically":[60],"optimal":[61],"Shannon":[62,77,111],"lower":[63],"bound":[64],"\\(O(\\log(1/\\varepsilon))\\)":[66],"space.":[67,146],"result":[69],"holds":[70],"both":[71],"pointwise":[72],"in":[73,86],"terms":[74],"information":[78,196],"content":[79],"conditioned":[80],"on":[81,181],"\\(X_i\\)":[82],"and":[83,85,118,128,133,135,160,163,165],"\\(P_i\\),":[84],"expectation":[87],"obtain":[89],"rate":[91],"\\(\\mathbb{E}[H(P_1)":[93],"+":[94,96,98],"\\cdots":[95],"H(P_n)]/n":[97],"\\varepsilon\\)":[99],"per":[101],"sample":[102],"as":[103],"\\(n":[104],"\\to":[105],"\\infty\\)":[106],"(where":[107],"\\(H\\)":[108],"entropy).":[112],"The":[113],"combination":[114],"space,":[116],"time,":[117],"properties":[120],"our":[122],"improves":[124],"upon":[125],"Knuth":[127],"Yao":[129],"(1976)":[130],"entropy-optimal":[131],"algorithm":[132,139,179,201],"Han":[134],"Hoshi":[136],"(1997)":[137],"interval":[138],"for":[140],"online":[141,177],"sampling,":[142],"which":[143,189],"require":[144],"unbounded":[145],"It":[147],"also":[148],"uses":[149],"exponentially":[150],"less":[151],"space":[152],"than":[153],"more":[155],"specialized":[156],"methods":[157],"Kozen":[159],"Solovey":[161],"(2022)":[162],"Shao":[164],"Wang":[166],"(2025)":[167],"that":[168],"samples":[171],"fixed":[174],"distribution.":[175],"sampling":[178],"rests":[180],"powerful":[183],"algorithmic":[184],"technique":[185],"called":[186],"randomness":[187],"recycling,":[188],"reuses":[190],"fraction":[192],"consumed":[197],"by":[198],"probabilistic":[200],"reduce":[203],"its":[204],"cost.":[207]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-09-28T00:00:00"}
