{"id":"https://openalex.org/W2122170585","doi":"https://doi.org/10.1145/2213977.2214042","title":"Learning poisson binomial distributions","display_name":"Learning poisson binomial distributions","publication_year":2012,"publication_date":"2012-05-19","ids":{"openalex":"https://openalex.org/W2122170585","doi":"https://doi.org/10.1145/2213977.2214042","mag":"2122170585"},"language":"en","primary_location":{"id":"doi:10.1145/2213977.2214042","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2214042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","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/A5034822411","display_name":"Constantinos Daskalakis","orcid":"https://orcid.org/0000-0002-5451-0490"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Constantinos Daskalakis","raw_affiliation_strings":["MIT, Boston, USA","[MIT, Boston, USA]"],"affiliations":[{"raw_affiliation_string":"MIT, Boston, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"[MIT, Boston, USA]","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054966819","display_name":"Ilias Diakonikolas","orcid":"https://orcid.org/0000-0002-5486-1856"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilias Diakonikolas","raw_affiliation_strings":["University of California, Berkeley, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014866889","display_name":"Rocco A. Servedio","orcid":"https://orcid.org/0000-0003-2407-543X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rocco A. Servedio","raw_affiliation_strings":["Columbia University, New York, USA","Columbia University, New York., USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University, New York., USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034822411"],"corresponding_institution_ids":["https://openalex.org/I4210110987","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":15.1611,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.9908167,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"709","last_page":"728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9962000250816345,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9951000213623047,"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/poisson-binomial-distribution","display_name":"Poisson binomial distribution","score":0.8946272730827332},{"id":"https://openalex.org/keywords/binomial-distribution","display_name":"Binomial distribution","score":0.7927134037017822},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.7461326718330383},{"id":"https://openalex.org/keywords/compound-poisson-distribution","display_name":"Compound Poisson distribution","score":0.7186796069145203},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"Negative binomial distribution","score":0.6701250672340393},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.5964524149894714},{"id":"https://openalex.org/keywords/beta-binomial-distribution","display_name":"Beta-binomial distribution","score":0.5759073495864868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5672812461853027},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.559275209903717},{"id":"https://openalex.org/keywords/continuity-correction","display_name":"Continuity correction","score":0.5408528447151184},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.4777892529964447},{"id":"https://openalex.org/keywords/zero-inflated-model","display_name":"Zero-inflated model","score":0.4764944911003113},{"id":"https://openalex.org/keywords/negative-multinomial-distribution","display_name":"Negative multinomial distribution","score":0.4453420042991638},{"id":"https://openalex.org/keywords/bernoulli-distribution","display_name":"Bernoulli distribution","score":0.43684351444244385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43197330832481384},{"id":"https://openalex.org/keywords/multinomial-distribution","display_name":"Multinomial distribution","score":0.4297621548175812},{"id":"https://openalex.org/keywords/count-data","display_name":"Count data","score":0.4136267900466919},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3576347827911377},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.35712623596191406},{"id":"https://openalex.org/keywords/poisson-regression","display_name":"Poisson regression","score":0.20128679275512695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12417906522750854},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.06330987811088562},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05268123745918274}],"concepts":[{"id":"https://openalex.org/C67417131","wikidata":"https://www.wikidata.org/wiki/Q3258231","display_name":"Poisson binomial distribution","level":5,"score":0.8946272730827332},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.7927134037017822},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7461326718330383},{"id":"https://openalex.org/C178174526","wikidata":"https://www.wikidata.org/wiki/Q3711786","display_name":"Compound Poisson distribution","level":4,"score":0.7186796069145203},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.6701250672340393},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.5964524149894714},{"id":"https://openalex.org/C165480597","wikidata":"https://www.wikidata.org/wiki/Q307557","display_name":"Beta-binomial distribution","level":4,"score":0.5759073495864868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5672812461853027},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.559275209903717},{"id":"https://openalex.org/C19586110","wikidata":"https://www.wikidata.org/wiki/Q5165416","display_name":"Continuity correction","level":5,"score":0.5408528447151184},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.4777892529964447},{"id":"https://openalex.org/C88721176","wikidata":"https://www.wikidata.org/wiki/Q966010","display_name":"Zero-inflated model","level":4,"score":0.4764944911003113},{"id":"https://openalex.org/C62802119","wikidata":"https://www.wikidata.org/wiki/Q6987231","display_name":"Negative multinomial distribution","level":5,"score":0.4453420042991638},{"id":"https://openalex.org/C27956954","wikidata":"https://www.wikidata.org/wiki/Q391371","display_name":"Bernoulli distribution","level":3,"score":0.43684351444244385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43197330832481384},{"id":"https://openalex.org/C192065140","wikidata":"https://www.wikidata.org/wiki/Q1147928","display_name":"Multinomial distribution","level":2,"score":0.4297621548175812},{"id":"https://openalex.org/C33643355","wikidata":"https://www.wikidata.org/wiki/Q5176731","display_name":"Count data","level":3,"score":0.4136267900466919},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3576347827911377},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.35712623596191406},{"id":"https://openalex.org/C73269764","wikidata":"https://www.wikidata.org/wiki/Q954529","display_name":"Poisson regression","level":3,"score":0.20128679275512695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12417906522750854},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.06330987811088562},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05268123745918274},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2213977.2214042","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2213977.2214042","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fourth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W136264155","https://openalex.org/W1585566614","https://openalex.org/W1602864053","https://openalex.org/W1855561663","https://openalex.org/W1880807619","https://openalex.org/W1966698631","https://openalex.org/W1969579021","https://openalex.org/W1970494248","https://openalex.org/W1974088667","https://openalex.org/W1974885059","https://openalex.org/W1979848870","https://openalex.org/W1981663184","https://openalex.org/W1989274820","https://openalex.org/W1989629230","https://openalex.org/W2007104960","https://openalex.org/W2012828271","https://openalex.org/W2014255551","https://openalex.org/W2017388832","https://openalex.org/W2020658897","https://openalex.org/W2025460138","https://openalex.org/W2026302946","https://openalex.org/W2029949308","https://openalex.org/W2032059218","https://openalex.org/W2039343706","https://openalex.org/W2042587503","https://openalex.org/W2047376378","https://openalex.org/W2049446512","https://openalex.org/W2052974900","https://openalex.org/W2063178190","https://openalex.org/W2063218326","https://openalex.org/W2063522056","https://openalex.org/W2067676737","https://openalex.org/W2069713581","https://openalex.org/W2083368929","https://openalex.org/W2085786299","https://openalex.org/W2090943650","https://openalex.org/W2094799272","https://openalex.org/W2095374884","https://openalex.org/W2095575865","https://openalex.org/W2103012681","https://openalex.org/W2118559710","https://openalex.org/W2126204693","https://openalex.org/W2127090196","https://openalex.org/W2146852149","https://openalex.org/W2148442298","https://openalex.org/W2166717942","https://openalex.org/W2336481247","https://openalex.org/W2337787166","https://openalex.org/W2399991609","https://openalex.org/W2488983277","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2798655805","https://openalex.org/W2951177125","https://openalex.org/W2962960950","https://openalex.org/W2963414662","https://openalex.org/W2964183068","https://openalex.org/W4205818646","https://openalex.org/W4231722627","https://openalex.org/W4233413206","https://openalex.org/W4249965249","https://openalex.org/W4250453066","https://openalex.org/W4250871362","https://openalex.org/W4388258552","https://openalex.org/W6636146691","https://openalex.org/W6660468667","https://openalex.org/W6681491184","https://openalex.org/W6703627673"],"related_works":["https://openalex.org/W4250996952","https://openalex.org/W1591126256","https://openalex.org/W2002570875","https://openalex.org/W2348543141","https://openalex.org/W4231865007","https://openalex.org/W2586858414","https://openalex.org/W4256754846","https://openalex.org/W2122170585","https://openalex.org/W2088669732","https://openalex.org/W3107378223"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,25,52],"basic":[3,67],"problem":[4,69],"in":[5,48],"unsupervised":[6],"learning:":[7],"learning":[8,68],"an":[9],"unknown":[10],"Poisson":[11,15,47],"Binomial":[12,16,59],"Distribution.":[13,60],"A":[14],"Distribution":[17],"(PBD)":[18],"over":[19],"{0,1,...,n}":[20],"is":[21],"the":[22,57],"distribution":[23],"of":[24,27,56],"sum":[26],"n":[28],"independent":[29],"Bernoulli":[30],"random":[31],"variables":[32],"which":[33],"may":[34],"have":[35],"arbitrary,":[36],"potentially":[37],"non-equal,":[38],"expectations.":[39],"These":[40],"distributions":[41],"were":[42,78],"first":[43],"studied":[44],"by":[45],"S.":[46],"1837":[49],"and":[50,73],"are":[51],"natural":[53],"n-parameter":[54],"generalization":[55],"familiar":[58],"Surprisingly,":[61],"prior":[62],"to":[63],"our":[64],"work":[65],"this":[66],"was":[70],"poorly":[71],"understood,":[72],"known":[74],"results":[75],"for":[76],"it":[77],"far":[79],"from":[80],"optimal.":[81]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
