{"id":"https://openalex.org/W2585287635","doi":"https://doi.org/10.1109/tit.2017.2692211","title":"Relations Between Information and Estimation in Discrete-Time L\u00e9vy Channels","display_name":"Relations Between Information and Estimation in Discrete-Time L\u00e9vy Channels","publication_year":2017,"publication_date":"2017-04-07","ids":{"openalex":"https://openalex.org/W2585287635","doi":"https://doi.org/10.1109/tit.2017.2692211","mag":"2585287635"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2017.2692211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2692211","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5034192173","display_name":"Jiantao Jiao","orcid":"https://orcid.org/0000-0003-3766-8031"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jiantao Jiao","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066970557","display_name":"Kartik Venkat","orcid":"https://orcid.org/0000-0002-7902-9724"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]},{"id":"https://openalex.org/I4210097638","display_name":"Partners In Care","ror":"https://ror.org/00xwb4n23","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210097638"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kartik Venkat","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University","PDT Partners, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"PDT Partners, New York, NY, USA","institution_ids":["https://openalex.org/I4210097638"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043344688","display_name":"Tsachy Weissman","orcid":"https://orcid.org/0009-0008-1099-691X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tsachy Weissman","raw_affiliation_strings":["Department of Electrical Engineering, Stanford University, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034192173"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":3.3974,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9228034,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":"6","first_page":"3579","last_page":"3594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9943000078201294,"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/T11720","display_name":"Probability and Risk Models","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6655362248420715},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6556185483932495},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.589057207107544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4980618953704834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47118639945983887},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.45690953731536865},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"Negative binomial distribution","score":0.4481571614742279},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4384264051914215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43189701437950134},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.42963945865631104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3734791874885559},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.338228702545166},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2569636106491089},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13086166977882385},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12349241971969604}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6655362248420715},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6556185483932495},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.589057207107544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4980618953704834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47118639945983887},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.45690953731536865},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.4481571614742279},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4384264051914215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43189701437950134},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.42963945865631104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3734791874885559},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.338228702545166},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2569636106491089},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13086166977882385},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12349241971969604},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2017.2692211","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2017.2692211","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1528905581","https://openalex.org/W1545580081","https://openalex.org/W1977400475","https://openalex.org/W2043371182","https://openalex.org/W2051868869","https://openalex.org/W2092898962","https://openalex.org/W2096765209","https://openalex.org/W2111616148","https://openalex.org/W2136135636","https://openalex.org/W2141800661","https://openalex.org/W2155549573","https://openalex.org/W2155969596","https://openalex.org/W2164714023","https://openalex.org/W2326120674","https://openalex.org/W2499696415","https://openalex.org/W2984715877","https://openalex.org/W3145866547","https://openalex.org/W4249599116","https://openalex.org/W4301861531","https://openalex.org/W6674201379"],"related_works":["https://openalex.org/W2995051414","https://openalex.org/W2047907216","https://openalex.org/W2129537379","https://openalex.org/W1553793542","https://openalex.org/W1991230619","https://openalex.org/W2036731318","https://openalex.org/W4319841362","https://openalex.org/W4311363496","https://openalex.org/W2278258052","https://openalex.org/W4232372158"],"abstract_inverted_index":{"Fundamental":[0],"relations":[1,26,119],"between":[2,69,120],"information":[3,68,121],"and":[4,16,73,83,90,112,122],"estimation":[5,79,130],"have":[6],"been":[7],"established":[8],"in":[9],"the":[10,13,38,46,49,53,66,70,88,95,109,113,126],"literature":[11],"for":[12,28],"discrete-time":[14,42],"Gaussian":[15,89],"Poisson":[17,91],"channels.":[18],"In":[19],"this":[20],"paper,":[21],"we":[22,61],"demonstrate":[23,94],"that":[24],"such":[25],"hold":[27],"a":[29],"much":[30],"larger":[31],"class":[32],"of":[33,41,48,97,105,128],"observation":[34],"models.":[35],"We":[36,93],"introduce":[37],"natural":[39],"family":[40],"L\u00e9vy":[43,59,106],"channels":[44],"where":[45],"distribution":[47],"output":[50,74],"conditioned":[51],"on":[52],"input":[54,72],"is":[55],"infinitely":[56],"divisible.":[57],"For":[58],"channels,":[60,107],"establish":[62],"new":[63],"representations":[64],"relating":[65],"mutual":[67],"channel":[71,111],"to":[75,125],"an":[76],"optimal":[77],"expected":[78],"loss,":[80],"thereby":[81],"unifying":[82],"considerably":[84],"extending":[85],"results":[86,99],"from":[87],"settings.":[92],"richness":[96],"our":[98],"by":[100],"working":[101],"out":[102],"two":[103],"examples":[104],"namely":[108],"gamma":[110],"negative":[114],"binomial":[115],"channel,":[116],"with":[117],"corresponding":[118],"estimation.":[123],"Extensions":[124],"setting":[127],"mismatched":[129],"are":[131],"also":[132],"presented.":[133]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
