{"id":"https://openalex.org/W2101123156","doi":"https://doi.org/10.1109/isit.2009.5205653","title":"Directed information and causal estimation in continuous time","display_name":"Directed information and causal estimation in continuous time","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2101123156","doi":"https://doi.org/10.1109/isit.2009.5205653","mag":"2101123156"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205653","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205653","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","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/A5101647166","display_name":"Young-Han Kim","orcid":"https://orcid.org/0000-0001-7255-8757"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Young-Han Kim","raw_affiliation_strings":["University of California, San Diego, La Jolla, CA, USA","University of California, San Diego, La Jolla, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"University of California, San Diego, La Jolla, USA#TAB#","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068879871","display_name":"Haim H. Permuter","orcid":"https://orcid.org/0000-0003-3170-3190"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Haim H. Permuter","raw_affiliation_strings":["Ben-Gurion University of the Negev, Beersheba, Israel","Ben-Gurion University of the Negev,Beer Sheva,Israel"],"affiliations":[{"raw_affiliation_string":"Ben-Gurion University of the Negev, Beersheba, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben-Gurion University of the Negev,Beer Sheva,Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"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/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]},{"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":["IL","US"],"is_corresponding":false,"raw_author_name":"Tsachy Weissman","raw_affiliation_strings":["Technion-Israel Institute of Technology, Haifa, Israel","Stanford University, CA, USA"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Stanford University, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101647166"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":4.7078,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95096315,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"it 54","issue":null,"first_page":"819","last_page":"823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.7892729043960571},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.5527763962745667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5161210298538208},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5104795694351196},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5043724775314331},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5040175318717957},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.46465983986854553},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46414151787757874},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4638436436653137},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.44809818267822266},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.4476350247859955},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4454374313354492},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42586007714271545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4065000116825104},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3420843482017517},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2777596712112427},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.27307945489883423}],"concepts":[{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.7892729043960571},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.5527763962745667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5161210298538208},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5104795694351196},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5043724775314331},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5040175318717957},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.46465983986854553},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46414151787757874},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4638436436653137},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.44809818267822266},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.4476350247859955},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4454374313354492},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42586007714271545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4065000116825104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3420843482017517},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2777596712112427},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.27307945489883423},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2009.5205653","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205653","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.711.210","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.711.210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://circuit.ucsd.edu/%7Eyhk/pdfs/isit2009c.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W206086817","https://openalex.org/W1489262227","https://openalex.org/W1963921091","https://openalex.org/W2018640312","https://openalex.org/W2024886389","https://openalex.org/W2033079303","https://openalex.org/W2048171680","https://openalex.org/W2083048215","https://openalex.org/W2091891040","https://openalex.org/W2092487949","https://openalex.org/W2101386783","https://openalex.org/W2102197410","https://openalex.org/W2111616148","https://openalex.org/W2114715837","https://openalex.org/W2117028910","https://openalex.org/W2129847229","https://openalex.org/W2129885443","https://openalex.org/W2135539363","https://openalex.org/W2140911775","https://openalex.org/W2143611595","https://openalex.org/W2153634854","https://openalex.org/W2156216606","https://openalex.org/W2156939381","https://openalex.org/W2163389339","https://openalex.org/W2175624993","https://openalex.org/W2326120674","https://openalex.org/W6629237864"],"related_works":["https://openalex.org/W3165863844","https://openalex.org/W1974392290","https://openalex.org/W1911817635","https://openalex.org/W3124771927","https://openalex.org/W2074565401","https://openalex.org/W2810224748","https://openalex.org/W2353656796","https://openalex.org/W2011915004","https://openalex.org/W3103566292","https://openalex.org/W1607924090"],"abstract_inverted_index":{"The":[0],"notion":[1,21,39],"of":[2,22,40,66],"directed":[3,23,41,88],"information":[4,28,42,46,89],"is":[5,57,70,85],"introduced":[6],"for":[7,19,107],"stochastic":[8,30],"processes":[9,31],"in":[10,32,47,62],"continuous":[11],"time.":[12],"Properties":[13],"and":[14,77],"operational":[15],"interpretations":[16],"are":[17],"presented":[18],"this":[20],"information,":[24],"which":[25,63],"generalizes":[26,43],"mutual":[27,45],"between":[29],"a":[33,52],"similar":[34],"manner":[35],"as":[36],"Massey's":[37],"original":[38],"Shannon's":[44],"the":[48,64,67,73,78,91,95,108],"discrete-time":[49],"setting.":[50],"As":[51],"key":[53],"application,":[54],"Duncan's":[55],"theorem":[56],"generalized":[58],"to":[59,87,94],"estimation":[60,84],"problems":[61],"evolution":[65],"target":[68,92],"signal":[69,93],"affected":[71],"by":[72,98],"past":[74],"channel":[75],"noise,":[76],"causal":[79],"minimum":[80],"mean":[81],"squared":[82],"error":[83],"related":[86],"from":[90],"observation":[96],"corrupted":[97],"additive":[99],"white":[100],"Gaussian":[101],"noise.":[102],"An":[103],"analogous":[104],"relationship":[105],"holds":[106],"Poisson":[109],"channel.":[110]},"counts_by_year":[{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
