{"id":"https://openalex.org/W2890681977","doi":"https://doi.org/10.1109/icassp.2018.8462284","title":"Using Optimal Mass Transport for Tracking and Interpolation of Toeplitz Covariance Matrices","display_name":"Using Optimal Mass Transport for Tracking and Interpolation of Toeplitz Covariance Matrices","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2890681977","doi":"https://doi.org/10.1109/icassp.2018.8462284","mag":"2890681977"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2018.8462284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8462284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","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/A5013286528","display_name":"Filip Elvander","orcid":"https://orcid.org/0000-0003-1857-2173"},"institutions":[{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]},{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Filip Elvander","raw_affiliation_strings":["Div. of Mathematical Statistics, Lund University, Sweden"],"affiliations":[{"raw_affiliation_string":"Div. of Mathematical Statistics, Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037213595","display_name":"Andreas Jakobsson","orcid":"https://orcid.org/0000-0002-2156-6973"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]},{"id":"https://openalex.org/I1279596006","display_name":"Statistics Sweden","ror":"https://ror.org/05x7wz523","country_code":"SE","type":"government","lineage":["https://openalex.org/I1279596006"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Andreas Jakobsson","raw_affiliation_strings":["Div. of Mathematical Statistics, Lund University, Sweden"],"affiliations":[{"raw_affiliation_string":"Div. of Mathematical Statistics, Lund University, Sweden","institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065730184","display_name":"Johan Karlsson","orcid":"https://orcid.org/0009-0007-3575-6747"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Johan Karlsson","raw_affiliation_strings":["Dept. of Mathematics, KTH Royal Institute of Technology, Sweden"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, KTH Royal Institute of Technology, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013286528"],"corresponding_institution_ids":["https://openalex.org/I1279596006","https://openalex.org/I187531555"],"apc_list":null,"apc_paid":null,"fwci":0.4887,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.730788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"47","issue":null,"first_page":"4469","last_page":"4473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9941999912261963,"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"}},"topics":[{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9941999912261963,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9689000248908997,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.924292802810669},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.7142711877822876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.604794442653656},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5748642683029175},{"id":"https://openalex.org/keywords/covariance-function","display_name":"Covariance function","score":0.5722669363021851},{"id":"https://openalex.org/keywords/covariance-intersection","display_name":"Covariance intersection","score":0.5273312330245972},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5156885385513306},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.515475332736969},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.5124128460884094},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.4874539375305176},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46392473578453064},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.43537068367004395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3674715459346771},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36404067277908325},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3058384358882904},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.13758516311645508},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10062152147293091},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0827559232711792},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07901713252067566},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0697193443775177}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.924292802810669},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7142711877822876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.604794442653656},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5748642683029175},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.5722669363021851},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.5273312330245972},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5156885385513306},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.515475332736969},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.5124128460884094},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.4874539375305176},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46392473578453064},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.43537068367004395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3674715459346771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36404067277908325},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3058384358882904},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.13758516311645508},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10062152147293091},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0827559232711792},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07901713252067566},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0697193443775177},{"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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2018.8462284","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2018.8462284","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},{"id":"pmh:oai:lup.lub.lu.se:41584623-5a04-4290-a7b6-383a027e498d","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/41584623-5a04-4290-a7b6-383a027e498d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":28,"referenced_works":["https://openalex.org/W45555743","https://openalex.org/W144678108","https://openalex.org/W210359992","https://openalex.org/W385466589","https://openalex.org/W1496923911","https://openalex.org/W1506558619","https://openalex.org/W1978381974","https://openalex.org/W1992511687","https://openalex.org/W1999177119","https://openalex.org/W1999640431","https://openalex.org/W2001050163","https://openalex.org/W2014509644","https://openalex.org/W2014937354","https://openalex.org/W2126250321","https://openalex.org/W2130327601","https://openalex.org/W2165941627","https://openalex.org/W2168822076","https://openalex.org/W2170060163","https://openalex.org/W2259656359","https://openalex.org/W2551461671","https://openalex.org/W2661419034","https://openalex.org/W2735418187","https://openalex.org/W2763292376","https://openalex.org/W2964282423","https://openalex.org/W3098335816","https://openalex.org/W4238253035","https://openalex.org/W4388534025","https://openalex.org/W6629474112"],"related_works":["https://openalex.org/W2022823194","https://openalex.org/W2126916073","https://openalex.org/W1987404909","https://openalex.org/W3211883524","https://openalex.org/W1627656821","https://openalex.org/W2964105278","https://openalex.org/W2508422113","https://openalex.org/W2018001152","https://openalex.org/W2109377650","https://openalex.org/W2110484224"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,25],"propose":[4],"a":[5,19,40,54,113],"novel":[6],"method":[7],"for":[8,103],"interpolation":[9],"and":[10,69,81],"extrapolation":[11],"of":[12,22,42,56,85,100],"Toeplitz":[13,23,62,73],"structured":[14],"covariance":[15,66,84],"matrices.":[16,46,63,88],"By":[17],"considering":[18],"spectral":[20,34,101],"representation":[21],"matrices,":[24],"use":[26],"an":[27],"optimal":[28,49],"mass":[29],"transport":[30,50],"problem":[31],"in":[32,36],"the":[33,72,78,82,86,91,109],"domain":[35],"order":[37],"to":[38,95],"define":[39],"notion":[41],"distance":[43],"between":[44],"such":[45],"The":[47,64],"obtained":[48],"plan":[51],"naturally":[52],"induces":[53],"way":[55],"interpolating,":[57],"as":[58,60,75,77],"well":[59,76],"extrapolating,":[61],"constructed":[65],"matrix":[67],"interpolants":[68],"ex-trapolants":[70],"preserve":[71],"structure,":[74],"positive":[79],"semi-definiteness":[80],"zeroth":[83],"original":[87],"We":[89],"demonstrate":[90],"proposed":[92],"method's":[93],"ability":[94],"model":[96],"locally":[97],"linear":[98],"shifts":[99],"power":[102],"slowly":[104],"varying":[105],"stochastic":[106],"processes,":[107],"illustrating":[108],"achievable":[110],"performance":[111],"using":[112],"simple":[114],"tracking":[115],"problem.":[116]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}