{"id":"https://openalex.org/W2159496808","doi":"https://doi.org/10.1109/cdc.2008.4739291","title":"Power spectral geodesics and tracking","display_name":"Power spectral geodesics and tracking","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2159496808","doi":"https://doi.org/10.1109/cdc.2008.4739291","mag":"2159496808"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4739291","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739291","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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/A5110724473","display_name":"Xianhua Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianhua Jiang","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101766226","display_name":"Zhi\u2010Quan Luo","orcid":"https://orcid.org/0000-0003-3995-914X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhi-Quan Luo","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035194316","display_name":"Tryphon T. Georgiou","orcid":"https://orcid.org/0000-0003-0012-5447"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tryphon T. Georgiou","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2265,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69288102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"1315","last_page":"1319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9437999725341797,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9199000000953674,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7559182643890381},{"id":"https://openalex.org/keywords/spectral-density","display_name":"Spectral density","score":0.7230868339538574},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6353828310966492},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5083133578300476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5025708675384521},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.48427242040634155},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46836531162261963},{"id":"https://openalex.org/keywords/spectral-line","display_name":"Spectral line","score":0.42400598526000977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3598458170890808},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35251671075820923},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3367026448249817},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32862916588783264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28815537691116333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20318466424942017},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13395288586616516},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10023239254951477},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07342180609703064}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7559182643890381},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.7230868339538574},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6353828310966492},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5083133578300476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5025708675384521},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.48427242040634155},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46836531162261963},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.42400598526000977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3598458170890808},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35251671075820923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3367026448249817},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32862916588783264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28815537691116333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20318466424942017},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13395288586616516},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10023239254951477},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07342180609703064},{"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/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4739291","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739291","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6200000047683716,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W85439921","https://openalex.org/W158030646","https://openalex.org/W1585160083","https://openalex.org/W1598517949","https://openalex.org/W1963871118","https://openalex.org/W1972044666","https://openalex.org/W2013445852","https://openalex.org/W2035446142","https://openalex.org/W2048435560","https://openalex.org/W2052424080","https://openalex.org/W2099515730","https://openalex.org/W2130327601","https://openalex.org/W2138358404","https://openalex.org/W2144221002","https://openalex.org/W2149197198","https://openalex.org/W2160709761","https://openalex.org/W2164240509","https://openalex.org/W2188563164","https://openalex.org/W2296319761","https://openalex.org/W3151807103","https://openalex.org/W4250589301","https://openalex.org/W6659324832"],"related_works":["https://openalex.org/W1978591761","https://openalex.org/W4287661821","https://openalex.org/W3133864228","https://openalex.org/W2941285539","https://openalex.org/W1579299075","https://openalex.org/W4206698794","https://openalex.org/W1683740614","https://openalex.org/W3008292135","https://openalex.org/W4366999619","https://openalex.org/W2511960118"],"abstract_inverted_index":{"It":[0],"is":[1,31,117],"often":[2],"reasonable":[3],"to":[4,14,62,115],"assume":[5],"that":[6,90,107],"a":[7,21,38,75,101,118],"power":[8,42,56,82,96],"spectral":[9,57,67,81,95,109,134],"density":[10],"can":[11],"be":[12],"used":[13],"reflect,":[15],"locally":[16],"in":[17,65,80,111,130],"time,":[18,61,84],"properties":[19],"of":[20,40,55,69,87,100,127,137],"non-stationary":[22,70,138],"time":[23,46],"series;":[24],"for":[25,77],"instance,":[26],"the":[27,66,78,85,112,125],"short-time":[28],"Fourier":[29],"transform":[30],"based":[32],"on":[33],"this":[34,49,128],"hypothesis":[35],"and":[36],"provides":[37],"succession":[39],"estimated":[41],"spectra":[43],"over":[44,83],"successive":[45],"intervals.":[47],"In":[48],"paper":[50],"we":[51,123],"consider":[52],"such":[53],"families":[54],"densities,":[58],"indexed":[59],"by":[60],"represent":[63],"changes":[64],"content":[68],"processes.":[71,139],"We":[72,105],"propose":[73],"as":[74],"model":[76,86],"drift":[79],"mass":[88],"transport;":[89],"is,":[91],"at":[92],"least":[93],"locally,":[94],"shifts":[97],"along":[98],"geodesics":[99,110],"suitable":[102],"mass-transport":[103],"metric.":[104],"show":[106],"fitting":[108],"Wasserstein":[113],"metric":[114],"data":[116],"convex":[119],"quadratic":[120],"program.":[121],"Finally,":[122],"highlight":[124],"effectiveness":[126],"proposition":[129],"tracking":[131],"features":[132],"(e.g.,":[133],"lines,":[135],"peaks)":[136]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}