{"id":"https://openalex.org/W4415368758","doi":"https://doi.org/10.1109/isit63088.2025.11195302","title":"Convexity of Mutual Information Along the Fokker-Planck Flow","display_name":"Convexity of Mutual Information Along the Fokker-Planck Flow","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415368758","doi":"https://doi.org/10.1109/isit63088.2025.11195302"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","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/A5102008906","display_name":"Jiayang Zou","orcid":"https://orcid.org/0000-0002-3687-4805"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiayang Zou","raw_affiliation_strings":["Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101065104","display_name":"Luyao Fan","orcid":"https://orcid.org/0009-0004-5140-1194"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luyao Fan","raw_affiliation_strings":["Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030874012","display_name":"Jiayang Gao","orcid":"https://orcid.org/0000-0003-0650-2581"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayang Gao","raw_affiliation_strings":["Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100404634","display_name":"Jia Wang","orcid":"https://orcid.org/0000-0002-1714-3206"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Wang","raw_affiliation_strings":["Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China"],"affiliations":[{"raw_affiliation_string":"Shanghai Jiao Tong University,Department of Electronic Engineering,Shanghai,China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102008906"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":2.5262,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.90762435,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"01","last_page":"06"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9320999979972839,"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/convexity","display_name":"Convexity","score":0.8784999847412109},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.8154000043869019},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.7523000240325928},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5906999707221985},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5748000144958496},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4401000142097473},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.43459999561309814},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3804999887943268}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8784999847412109},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.8154000043869019},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.7523000240325928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7378000020980835},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5906999707221985},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5748000144958496},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4401000142097473},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.43459999561309814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4207000136375427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39800000190734863},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3804999887943268},{"id":"https://openalex.org/C2779136372","wikidata":"https://www.wikidata.org/wiki/Q10283002","display_name":"Information flow","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.295199990272522},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.287200003862381},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C33257320","wikidata":"https://www.wikidata.org/wiki/Q1932744","display_name":"Second derivative","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2799000144004822},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C2985596519","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat flow","level":3,"score":0.26269999146461487},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25920000672340393}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G59969715","display_name":null,"funder_award_id":"U24A20220","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1764173405","https://openalex.org/W1991959037","https://openalex.org/W2014463660","https://openalex.org/W2018910129","https://openalex.org/W2032316144","https://openalex.org/W2043371182","https://openalex.org/W2071048859","https://openalex.org/W2098228621","https://openalex.org/W2099111195","https://openalex.org/W2111616148","https://openalex.org/W2148029592","https://openalex.org/W2157638198","https://openalex.org/W2278678287","https://openalex.org/W2291139429","https://openalex.org/W2318653270","https://openalex.org/W2460436517","https://openalex.org/W2464250218","https://openalex.org/W2485912565","https://openalex.org/W2565919305","https://openalex.org/W2593511049","https://openalex.org/W2890576420","https://openalex.org/W2962883731","https://openalex.org/W2963657839","https://openalex.org/W2963763760","https://openalex.org/W3013609275","https://openalex.org/W3198390454","https://openalex.org/W4205825582","https://openalex.org/W4233762729","https://openalex.org/W4254476808","https://openalex.org/W4255839052","https://openalex.org/W4367722514","https://openalex.org/W4376958654","https://openalex.org/W4415368758"],"related_works":[],"abstract_inverted_index":{"We":[0,37],"study":[1],"the":[2,13,39,44,57,64,68,77,99],"convexity":[3,85,110],"of":[4,10,20,43,50,60],"mutual":[5,61,81,106],"information":[6,62,82,107],"as":[7],"a":[8,48],"function":[9],"time":[11,95],"along":[12,22,63],"Fokker-Planck":[14,51,65],"flow.":[15],"The":[16],"results":[17],"are":[18],"generalizations":[19],"that":[21,112],"heat":[23],"flow":[24],"and":[25,34,41,53],"Ornstein-Ulenbeck":[26],"flow,":[27],"which":[28,98],"were":[29],"established":[30],"by":[31],"A.":[32],"Wibisono":[33],"V.":[35],"Jog.":[36],"prove":[38],"existence":[40],"uniqueness":[42],"classical":[45],"solutions":[46],"to":[47,76],"class":[49],"equations":[52],"then":[54,80,105],"we":[55],"obtain":[56],"second":[58],"derivative":[59],"equation.":[66],"If":[67],"initial":[69],"distribution":[70,100],"is":[71,101],"sufficiently":[72,102],"strongly":[73,103],"logconcave":[74],"compared":[75],"steady":[78],"state,":[79],"always":[83],"preserves":[84],"under":[86],"suitable":[87],"conditions.":[88],"In":[89],"particular,":[90],"if":[91],"there":[92],"exists":[93],"some":[94],"point":[96],"at":[97],"log-concave,":[104],"will":[108],"preserve":[109],"after":[111],"time.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-21T00:00:00"}