{"id":"https://openalex.org/W4310902973","doi":"https://doi.org/10.1109/itw54588.2022.9965817","title":"A Bivariate Invariance Principle","display_name":"A Bivariate Invariance Principle","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4310902973","doi":"https://doi.org/10.1109/itw54588.2022.9965817"},"language":"en","primary_location":{"id":"doi:10.1109/itw54588.2022.9965817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965817","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","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/A5030094989","display_name":"Alexander Mariona","orcid":null},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Mariona","raw_affiliation_strings":["Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010743882","display_name":"Homa Esfahanizadeh","orcid":"https://orcid.org/0000-0003-1217-692X"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Homa Esfahanizadeh","raw_affiliation_strings":["Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017403407","display_name":"Rafael G. L. D\u2019Oliveira","orcid":"https://orcid.org/0000-0001-5053-5909"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rafael G. L. D'Oliveira","raw_affiliation_strings":["Clemson University,School of Mathematical and Statistical Sciences,Clemson,SC,29634"],"affiliations":[{"raw_affiliation_string":"Clemson University,School of Mathematical and Statistical Sciences,Clemson,SC,29634","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075370174","display_name":"Muriel M\u00e9dard","orcid":"https://orcid.org/0000-0003-4059-407X"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Muriel Medard","raw_affiliation_strings":["Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Research Laboratory of Electronics,Cambridge,MA,02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030094989"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15016502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":null,"first_page":"756","last_page":"761"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9987000226974487,"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":0.9987000226974487,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.992900013923645,"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/T11130","display_name":"Coding theory and cryptography","score":0.989300012588501,"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/multilinear-map","display_name":"Multilinear map","score":0.9278935194015503},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7646181583404541},{"id":"https://openalex.org/keywords/invariance-principle","display_name":"Invariance principle","score":0.7479205131530762},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6563606262207031},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5689168572425842},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.457987904548645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4534289538860321},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43993017077445984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.424307644367218},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4106316566467285},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3673822283744812},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2132149338722229},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09332305192947388}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9278935194015503},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7646181583404541},{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.7479205131530762},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6563606262207031},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5689168572425842},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.457987904548645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4534289538860321},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43993017077445984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.424307644367218},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4106316566467285},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3673822283744812},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2132149338722229},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09332305192947388},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw54588.2022.9965817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965817","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320330264","display_name":"MIT Portugal","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W606334457","https://openalex.org/W1831159172","https://openalex.org/W1880399293","https://openalex.org/W2020658897","https://openalex.org/W2035687460","https://openalex.org/W2089857781","https://openalex.org/W2108016168","https://openalex.org/W2120210041","https://openalex.org/W2133263321","https://openalex.org/W2342828261","https://openalex.org/W2478708596","https://openalex.org/W2963547605","https://openalex.org/W3102754027","https://openalex.org/W4232841423","https://openalex.org/W4242098806"],"related_works":["https://openalex.org/W4318719034","https://openalex.org/W37958683","https://openalex.org/W1999178348","https://openalex.org/W2396820687","https://openalex.org/W4295021234","https://openalex.org/W3035010459","https://openalex.org/W4298178514","https://openalex.org/W4296311369","https://openalex.org/W2084067277","https://openalex.org/W2230001659"],"abstract_inverted_index":{"A":[0],"notable":[1,135],"result":[2],"from":[3,51],"analysis":[4],"of":[5,18,30,43,55,65,82,137],"Boolean":[6],"functions":[7],"is":[8,122,148],"the":[9,19,31,56,60,66,83,109,118,126,152],"Basic":[10],"Invariance":[11],"Principle":[12],"(BIP),":[13],"a":[14,28,80,97,102,134],"quantitative":[15],"nonlinear":[16],"generalization":[17,29],"Central":[20],"Limit":[21],"Theorem":[22],"for":[23,33,85,133],"multilinear":[24,35,87],"polynomials.":[25],"We":[26],"present":[27],"BIP":[32,57,84],"bivariate":[34,47,104,138],"polynomials,":[36,88],"i.e.,":[37,89],"polynomials":[38,90],"over":[39],"two":[40,67,110],"n-length":[41],"sequences":[42,112],"random":[44,86,94],"variables.":[45,95],"This":[46],"invariance":[48,75,105],"principle":[49,106,121,147],"arises":[50],"an":[52],"iterative":[53],"application":[54],"to":[58,72],"bound":[59],"error":[61],"in":[62],"replacing":[63],"each":[64],"input":[68,111],"sequences.":[69],"In":[70],"order":[71],"prove":[73],"this":[74],"principle,":[76],"we":[77,99,129,141],"first":[78],"derive":[79],"version":[81],"whose":[91],"coefficients":[92],"are":[93],"As":[96],"benchmark,":[98],"also":[100],"state":[101],"naive":[103,153],"which":[107,140],"treats":[108],"as":[113],"one":[114],"and":[115],"directly":[116],"applies":[117],"BIP.":[119],"Neither":[120],"universally":[123],"stronger":[124],"than":[125,151],"other,":[127],"but":[128],"do":[130],"show":[131],"that":[132],"class":[136],"functions,":[139,144],"term":[142],"separable":[143],"our":[145],"subtler":[146],"exponentially":[149],"tighter":[150],"benchmark.":[154]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
