{"id":"https://openalex.org/W2756126767","doi":"https://doi.org/10.3390/e19110586","title":"Discovering Potential Correlations via Hypercontractivity","display_name":"Discovering Potential Correlations via Hypercontractivity","publication_year":2017,"publication_date":"2017-11-02","ids":{"openalex":"https://openalex.org/W2756126767","doi":"https://doi.org/10.3390/e19110586","mag":"2756126767"},"language":"en","primary_location":{"id":"doi:10.3390/e19110586","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19110586","pdf_url":"https://www.mdpi.com/1099-4300/19/11/586/pdf?version=1509937316","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/11/586/pdf?version=1509937316","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hyeji Kim","orcid":"https://orcid.org/0000-0002-2256-5729"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hyeji Kim","raw_affiliation_strings":["Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":"https://orcid.org/0000-0002-2256-5729","affiliations":[{"raw_affiliation_string":"Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Weihao Gao","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weihao Gao","raw_affiliation_strings":["Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sreeram Kannan","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sreeram Kannan","raw_affiliation_strings":["Department of Electrical Engineering, University of Washington, Seattle, WA 98195, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Washington, Seattle, WA 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sewoong Oh","orcid":"https://orcid.org/0000-0002-8975-8306"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sewoong Oh","raw_affiliation_strings":["Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":"https://orcid.org/0000-0002-8975-8306","affiliations":[{"raw_affiliation_string":"Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":null,"display_name":"Pramod Viswanath","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pramod Viswanath","raw_affiliation_strings":["Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Lab, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.6011,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73881469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"11","first_page":"586","last_page":"586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10261","display_name":"Genetic Associations and Epidemiology","score":0.32339999079704285,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10261","display_name":"Genetic Associations and Epidemiology","score":0.32339999079704285,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.2329999953508377,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.1103999987244606,"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/estimator","display_name":"Estimator","score":0.6912000179290771},{"id":"https://openalex.org/keywords/hidden-variable-theory","display_name":"Hidden variable theory","score":0.5232999920845032},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5126000046730042},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.49320000410079956},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.4814999997615814},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45399999618530273},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.44609999656677246},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43950000405311584}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7498999834060669},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6912000179290771},{"id":"https://openalex.org/C137002209","wikidata":"https://www.wikidata.org/wiki/Q898521","display_name":"Hidden variable theory","level":3,"score":0.5232999920845032},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5126000046730042},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.4814999997615814},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45399999618530273},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.44609999656677246},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C109510780","wikidata":"https://www.wikidata.org/wiki/Q17149502","display_name":"Total correlation","level":3,"score":0.3865000009536743},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35280001163482666},{"id":"https://openalex.org/C121694360","wikidata":"https://www.wikidata.org/wiki/Q5282862","display_name":"Distance correlation","level":3,"score":0.34929999709129333},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34860000014305115},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3458999991416931},{"id":"https://openalex.org/C153874254","wikidata":"https://www.wikidata.org/wiki/Q115542","display_name":"Canonical correlation","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e19110586","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19110586","pdf_url":"https://www.mdpi.com/1099-4300/19/11/586/pdf?version=1509937316","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1709.04024","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.04024","pdf_url":"https://arxiv.org/pdf/1709.04024","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:oai:doaj.org/article:876e25d9a97540f0afb599c61973a8b9","is_oa":true,"landing_page_url":"https://doaj.org/article/876e25d9a97540f0afb599c61973a8b9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 19, Iss 11, p 586 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/11/586/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19110586","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 19; Issue 11; Pages: 586","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e19110586","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19110586","pdf_url":"https://www.mdpi.com/1099-4300/19/11/586/pdf?version=1509937316","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W154472438","https://openalex.org/W1567431451","https://openalex.org/W2000065263","https://openalex.org/W2003776291","https://openalex.org/W2006017609","https://openalex.org/W2018582985","https://openalex.org/W2036887984","https://openalex.org/W2040509998","https://openalex.org/W2078278523","https://openalex.org/W2079296583","https://openalex.org/W2091891568","https://openalex.org/W2094654291","https://openalex.org/W2103749128","https://openalex.org/W2107327484","https://openalex.org/W2145979309","https://openalex.org/W2165700458","https://openalex.org/W2166849654","https://openalex.org/W2170862660","https://openalex.org/W2185076962","https://openalex.org/W2271518208","https://openalex.org/W2334237942","https://openalex.org/W2410825716","https://openalex.org/W6631216910","https://openalex.org/W6637108112","https://openalex.org/W6637570865","https://openalex.org/W6649181732","https://openalex.org/W6677621685","https://openalex.org/W6680765659","https://openalex.org/W6686207219"],"related_works":[],"abstract_inverted_index":{"Discovering":[0],"a":[1,41,49,77],"correlation":[2,18,53,129],"from":[3,85,113],"one":[4],"variable":[5,8],"to":[6,28,54,80],"another":[7],"is":[9,107,120],"of":[10,43,51,62,104,135,138],"fundamental":[11],"scientific":[12],"and":[13,87,119],"practical":[14],"interest.":[15],"While":[16],"existing":[17],"measures":[19,130],"are":[20],"suitable":[21],"for":[22,127],"discovering":[23,110],"average":[24],"correlation,":[25],"they":[26],"fail":[27],"discover":[29],"hidden":[30],"or":[31],"potential":[32,52,99,139],"correlations.":[33,140],"To":[34],"bridge":[35],"this":[36,95],"gap,":[37],"(i)":[38],"we":[39,47,57,75,89],"postulate":[40],"set":[42],"natural":[44],"axioms":[45],"that":[46,59,94],"expect":[48],"measure":[50],"satisfy;":[55],"(ii)":[56],"show":[58],"the":[60,66,71,82,125],"rate":[61],"information":[63],"bottleneck,":[64],"i.e.,":[65],"hypercontractivity":[67,83],"coefficient,":[68],"satisfies":[69],"all":[70],"proposed":[72,96],"axioms;":[73],"(iii)":[74],"provide":[76,90],"novel":[78],"estimator":[79,97],"estimate":[81],"coefficient":[84],"samples;":[86],"(iv)":[88],"numerical":[91],"experiments":[92],"demonstrating":[93],"discovers":[98],"correlations":[100],"among":[101],"various":[102],"indicators":[103],"WHO":[105],"datasets,":[106],"robust":[108],"in":[109,131],"gene":[111,114],"interactions":[112],"expression":[115],"time":[116],"series":[117],"data,":[118],"statistically":[121],"more":[122],"powerful":[123],"than":[124],"estimators":[126],"other":[128],"binary":[132],"hypothesis":[133],"testing":[134],"canonical":[136],"examples":[137]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2017-09-25T00:00:00"}
