{"id":"https://openalex.org/W2798696012","doi":"https://doi.org/10.23919/isita.2018.8664285","title":"Convexity of mutual information along the Ornstein-Uhlenbeck flow","display_name":"Convexity of mutual information along the Ornstein-Uhlenbeck flow","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2798696012","doi":"https://doi.org/10.23919/isita.2018.8664285","mag":"2798696012"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664285","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.01401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043389973","display_name":"Andre Wibisono","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andre Wibisono","raw_affiliation_strings":["College of Computing, Georgia Institute of Technology, Atlanta, GA","College of Computing, Georgia Institute of Technology, Atlanta, GA, 30313"],"affiliations":[{"raw_affiliation_string":"College of Computing, Georgia Institute of Technology, Atlanta, GA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"College of Computing, Georgia Institute of Technology, Atlanta, GA, 30313","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021502006","display_name":"Varun Jog","orcid":"https://orcid.org/0000-0003-4159-0900"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Varun Jog","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Wisconsin \u2013 Madison, Madison, WI","Department of Electrical and Computer Engineering, University of Wisconsin\u2013Madison, Madison, WI 53706"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Wisconsin \u2013 Madison, Madison, WI","institution_ids":["https://openalex.org/I135310074"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin\u2013Madison, Madison, WI 53706","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043389973"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.62869018,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64589372,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"55","issue":null,"first_page":"55","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mutual-information","display_name":"Mutual information","score":0.8787140846252441},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7505027651786804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7045462131500244},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.6208995580673218},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.523795485496521},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5141339898109436},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5029162764549255},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4748692214488983},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4634169936180115},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4625638425350189},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4516599774360657},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.443684458732605},{"id":"https://openalex.org/keywords/information-flow","display_name":"Information flow","score":0.4333174526691437},{"id":"https://openalex.org/keywords/ornstein\u2013uhlenbeck-process","display_name":"Ornstein\u2013Uhlenbeck process","score":0.4150139093399048},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3604072630405426},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30428066849708557},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26219671964645386},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.24339860677719116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17724665999412537},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16062277555465698},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08729499578475952},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.07366496324539185},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07332304120063782}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.8787140846252441},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7505027651786804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045462131500244},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6208995580673218},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.523795485496521},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5141339898109436},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5029162764549255},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4748692214488983},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4634169936180115},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4625638425350189},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4516599774360657},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.443684458732605},{"id":"https://openalex.org/C2779136372","wikidata":"https://www.wikidata.org/wiki/Q10283002","display_name":"Information flow","level":2,"score":0.4333174526691437},{"id":"https://openalex.org/C31634936","wikidata":"https://www.wikidata.org/wiki/Q1757587","display_name":"Ornstein\u2013Uhlenbeck process","level":3,"score":0.4150139093399048},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3604072630405426},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30428066849708557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26219671964645386},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.24339860677719116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17724665999412537},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16062277555465698},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08729499578475952},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.07366496324539185},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07332304120063782},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23919/isita.2018.8664285","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1805.01401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.01401","pdf_url":"https://arxiv.org/pdf/1805.01401","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":"","raw_type":"text"},{"id":"mag:2798696012","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1805.01401","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":"doi:10.48550/arxiv.1805.01401","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.01401","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"},{"id":"mag:3172866774","is_oa":false,"landing_page_url":"https://www.ieice.org/publications/proceedings/summary.php?iconf=ISITA&session_num=Mo-AM-1-3&number=Mo-AM-1-3.3&year=2018","pdf_url":null,"source":{"id":"https://openalex.org/S4306512846","display_name":"IEICE Proceedings Series","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IEICE Proceedings Series","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.01401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.01401","pdf_url":"https://arxiv.org/pdf/1805.01401","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2798696012.pdf","grobid_xml":"https://content.openalex.org/works/W2798696012.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W423603040","https://openalex.org/W1585160083","https://openalex.org/W2014739224","https://openalex.org/W2056129277","https://openalex.org/W2071048859","https://openalex.org/W2075360622","https://openalex.org/W2111616148","https://openalex.org/W2120340025","https://openalex.org/W2130401121","https://openalex.org/W2137226437","https://openalex.org/W2157638198","https://openalex.org/W2171750587","https://openalex.org/W2259695933","https://openalex.org/W2593511049","https://openalex.org/W2792772107","https://openalex.org/W2949336352","https://openalex.org/W2962883731","https://openalex.org/W2963206675","https://openalex.org/W2963657839","https://openalex.org/W2963763760","https://openalex.org/W3105573210","https://openalex.org/W4236312485","https://openalex.org/W4293052541","https://openalex.org/W6692572551"],"related_works":["https://openalex.org/W3172866774","https://openalex.org/W1579520985","https://openalex.org/W3158390334","https://openalex.org/W2121952483","https://openalex.org/W1204447367","https://openalex.org/W2908286069","https://openalex.org/W3099517667","https://openalex.org/W2189354471","https://openalex.org/W2156955388","https://openalex.org/W3168358336","https://openalex.org/W1979732800","https://openalex.org/W2100962112","https://openalex.org/W2963671088","https://openalex.org/W2796767148","https://openalex.org/W2301238720","https://openalex.org/W3100982240","https://openalex.org/W2241120543","https://openalex.org/W2183068698","https://openalex.org/W3190009073","https://openalex.org/W2545214985"],"abstract_inverted_index":{"We":[0,19,67],"study":[1],"the":[2,13,16,23,44,53,72],"convexity":[3],"of":[4,10,15,65],"mutual":[5,30,58,87,99],"information":[6,31,59,88,100],"as":[7],"a":[8,62],"function":[9,64],"time":[11],"along":[12],"flow":[14],"Ornstein-Uhlenbeck":[17],"process.":[18],"prove":[20,69],"that":[21,70,98],"if":[22,43,71],"initial":[24,45,73],"distribution":[25,46,74],"is":[26,32,47,60,75,89],"strongly":[27,49],"log-concave,":[28],"then":[29,57,86],"eventually":[33,90],"convex,":[34],"i.e.,":[35],"convex":[36,63],"for":[37],"all":[38],"large":[39],"time.":[40,66,106],"In":[41],"particular,":[42],"sufficiently":[48],"log-concave":[50],"compared":[51],"to":[52,96],"target":[54],"Gaussian":[55],"measure,":[56],"always":[61],"also":[68],"either":[76],"bounded":[77],"or":[78],"has":[79],"finite":[80],"fourth":[81],"moment":[82],"and":[83],"Fisher":[84],"information,":[85],"convex.":[91],"Finally,":[92],"we":[93],"provide":[94],"counterexamples":[95],"show":[97],"can":[101],"be":[102],"nonconvex":[103],"at":[104],"small":[105]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}