{"id":"https://openalex.org/W1915077127","doi":"https://doi.org/10.1109/cca.2015.7320778","title":"Semidefinite representation of sequential rate-distortion function for stationary Gauss-Markov processes","display_name":"Semidefinite representation of sequential rate-distortion function for stationary Gauss-Markov processes","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W1915077127","doi":"https://doi.org/10.1109/cca.2015.7320778","mag":"1915077127"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2015.7320778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2015.7320778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Control Applications (CCA)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5082230661","display_name":"Takashi Tanaka","orcid":"https://orcid.org/0000-0001-7424-0064"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Takashi Tanaka","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology","Laboratory for Information & Decision Systems, Massachusetts Institute of Technology#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information & Decision Systems, Massachusetts Institute of Technology#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082230661"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":4.9411,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.9652194,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2","issue":null,"first_page":"1217","last_page":"1222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9990000128746033,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/mathematics","display_name":"Mathematics","score":0.6950684785842896},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6807072162628174},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.6528513431549072},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5380335450172424},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5211960673332214},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5180166363716125},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4993560314178467},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.48849332332611084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47791820764541626},{"id":"https://openalex.org/keywords/rate-distortion","display_name":"Rate distortion","score":0.4339224398136139},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.43002602458000183},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4132523536682129},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4126778542995453},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38070905208587646},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.2756864130496979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21799927949905396},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.156198650598526},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.10603547096252441},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.09724411368370056},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.09547752141952515},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.08493605256080627}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6950684785842896},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6807072162628174},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.6528513431549072},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5380335450172424},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5211960673332214},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5180166363716125},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4993560314178467},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.48849332332611084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47791820764541626},{"id":"https://openalex.org/C2982755384","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate distortion","level":3,"score":0.4339224398136139},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.43002602458000183},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4132523536682129},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4126778542995453},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38070905208587646},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.2756864130496979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21799927949905396},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.156198650598526},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.10603547096252441},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.09724411368370056},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.09547752141952515},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.08493605256080627},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cca.2015.7320778","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2015.7320778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Control Applications (CCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1843244270","https://openalex.org/W2019826771","https://openalex.org/W2024318675","https://openalex.org/W2052334067","https://openalex.org/W2053836930","https://openalex.org/W2084412988","https://openalex.org/W2098432798","https://openalex.org/W2099111195","https://openalex.org/W2101950184","https://openalex.org/W2140911775","https://openalex.org/W2166965702","https://openalex.org/W2171305154","https://openalex.org/W2288657174","https://openalex.org/W2296319761","https://openalex.org/W2783438209","https://openalex.org/W2798766386","https://openalex.org/W3210839039","https://openalex.org/W4235178178","https://openalex.org/W4300029251","https://openalex.org/W6681130209","https://openalex.org/W6696287329"],"related_works":["https://openalex.org/W2385886188","https://openalex.org/W2288891047","https://openalex.org/W2524928742","https://openalex.org/W2362452378","https://openalex.org/W2353517195","https://openalex.org/W3166939022","https://openalex.org/W1727084346","https://openalex.org/W2544939111","https://openalex.org/W2386048074","https://openalex.org/W2572095861"],"abstract_inverted_index":{"We":[0,45],"consider":[1],"an":[2,50],"information-theoretic":[3],"performance":[4],"limitation":[5],"of":[6],"zero-delay":[7],"source":[8],"coding":[9],"schemes":[10],"for":[11],"multidimensional":[12],"stationary":[13],"Gauss-Markov":[14],"sources.":[15],"In":[16],"particular,":[17],"the":[18,27,39,73],"sequential":[19,75],"rate-distortion":[20,76],"(SRD)":[21],"problem":[22],"is":[23,32,55],"formulated":[24],"in":[25],"which":[26,60],"average":[28,40],"rate":[29],"per":[30,43],"stage":[31],"minimized":[33],"subject":[34],"to":[35],"a":[36,79],"constraint":[37],"on":[38],"mean-square":[41],"distortion":[42],"stage.":[44],"prove":[46],"that":[47,54,72],"there":[48],"exists":[49],"optimal":[51],"test":[52],"channel":[53],"linear":[56],"and":[57],"time":[58],"invariant,":[59],"can":[61],"be":[62],"efficiently":[63],"constructed":[64],"by":[65],"semidefinite":[66,80],"programming":[67],"(SDP).":[68],"This":[69],"result":[70],"indicates":[71],"exponentiated":[74],"function":[77],"admits":[78],"representation.":[81]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}