{"id":"https://openalex.org/W3184235422","doi":"https://doi.org/10.23919/acc50511.2021.9482622","title":"Nonparametric Reconstruction of Vector Fields From Noisy Observations of Their Flow Curves","display_name":"Nonparametric Reconstruction of Vector Fields From Noisy Observations of Their Flow Curves","publication_year":2021,"publication_date":"2021-05-25","ids":{"openalex":"https://openalex.org/W3184235422","doi":"https://doi.org/10.23919/acc50511.2021.9482622","mag":"3184235422"},"language":"en","primary_location":{"id":"doi:10.23919/acc50511.2021.9482622","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9482622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","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/A5047615636","display_name":"T.J. Sneed","orcid":null},"institutions":[{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Terry-Ann Sneed","raw_affiliation_strings":["School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA","institution_ids":["https://openalex.org/I110378019"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006445734","display_name":"Arash Komaee","orcid":"https://orcid.org/0000-0002-1964-643X"},"institutions":[{"id":"https://openalex.org/I110378019","display_name":"Southern Illinois University Carbondale","ror":"https://ror.org/049kefs16","country_code":"US","type":"education","lineage":["https://openalex.org/I110378019","https://openalex.org/I2801502357"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arash Komaee","raw_affiliation_strings":["School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical, Computer, and Biomedical Engineering, Southern Illinois University, Carbondale, IL, USA","institution_ids":["https://openalex.org/I110378019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047615636"],"corresponding_institution_ids":["https://openalex.org/I110378019"],"apc_list":null,"apc_paid":null,"fwci":0.3895,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.59478766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3969","last_page":"3974"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11486","display_name":"Micro and Nano Robotics","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/T12405","display_name":"Characterization and Applications of Magnetic Nanoparticles","score":0.9635999798774719,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/vector-field","display_name":"Vector field","score":0.7182984352111816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5543618202209473},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5148217082023621},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5011782646179199},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.48645493388175964},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.42839664220809937},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20368632674217224},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19693931937217712},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.11509519815444946},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.10921025276184082}],"concepts":[{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7182984352111816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5543618202209473},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5148217082023621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5011782646179199},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.48645493388175964},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42839664220809937},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20368632674217224},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19693931937217712},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.11509519815444946},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.10921025276184082},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc50511.2021.9482622","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9482622","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G4625534941","display_name":null,"funder_award_id":"ECCS-1941944","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1549179911","https://openalex.org/W1574514837","https://openalex.org/W1605322973","https://openalex.org/W1773703924","https://openalex.org/W1964262460","https://openalex.org/W1964360919","https://openalex.org/W1980125759","https://openalex.org/W1980619755","https://openalex.org/W1986339804","https://openalex.org/W1997656130","https://openalex.org/W2001490481","https://openalex.org/W2001646560","https://openalex.org/W2015705868","https://openalex.org/W2038024531","https://openalex.org/W2051194933","https://openalex.org/W2054579949","https://openalex.org/W2090480913","https://openalex.org/W2094904022","https://openalex.org/W2099960264","https://openalex.org/W2104004838","https://openalex.org/W2107560398","https://openalex.org/W2116427719","https://openalex.org/W2117918852","https://openalex.org/W2131507345","https://openalex.org/W2136290525","https://openalex.org/W2147904646","https://openalex.org/W2163252428","https://openalex.org/W2323913943","https://openalex.org/W2509445763","https://openalex.org/W2768748954","https://openalex.org/W2883305343","https://openalex.org/W2892208363","https://openalex.org/W2972892069","https://openalex.org/W2981906852","https://openalex.org/W3045544846","https://openalex.org/W3048235196","https://openalex.org/W3100769368","https://openalex.org/W3145476386","https://openalex.org/W6780915970"],"related_works":["https://openalex.org/W2592405099","https://openalex.org/W2938786841","https://openalex.org/W2012002054","https://openalex.org/W2551845725","https://openalex.org/W2783536463","https://openalex.org/W2045588195","https://openalex.org/W2041424614","https://openalex.org/W2888156545","https://openalex.org/W3093584180","https://openalex.org/W2003404947"],"abstract_inverted_index":{"Any":[0,23],"state-space":[1,27],"equation":[2,28],"is":[3,29,65,81,112,128,142],"identified":[4],"by":[5,56,144],"a":[6,26,31,45,57,69,84,90,118,151,158],"vector":[7,16,37,46,70,110,126],"field":[8,47,71,111,127],"that":[9],"maps":[10],"the":[11,14,18,95,109,125,136,147,154,163],"values":[12,19],"of":[13,20,34,44,51,74,97,146,157],"state":[15],"into":[17],"its":[21,35,52,75],"derivative.":[22],"solution":[24,93],"to":[25,67],"called":[30],"flow":[32,53,77,107,137],"curve":[33],"associated":[36],"field.":[38,165],"This":[39,79],"paper":[40],"focuses":[41],"on":[42,135],"reconstruction":[43,145],"from":[48,94,153],"noisy":[49],"measurements":[50],"curves":[54],"generated":[55],"physical":[58],"process.":[59],"A":[60],"nonparametric":[61],"least":[62],"squares":[63],"scheme":[64,80],"developed":[66],"estimate":[68],"along":[72,114],"each":[73],"empirical":[76,106],"curves.":[78,138],"formulated":[82],"as":[83],"linear":[85],"quadratic":[86],"tracking":[87],"problem":[88,103],"with":[89],"well":[91],"known":[92],"theory":[96],"optimal":[98],"control.":[99],"By":[100],"solving":[101],"this":[102],"for":[104],"several":[105],"curves,":[108],"constructed":[113],"them,":[115],"and":[116],"using":[117],"nearest":[119],"neighbor":[120],"interpolation":[121],"method":[122],"presented":[123],"here,":[124],"estimated":[129],"at":[130],"those":[131],"points":[132],"not":[133],"lying":[134],"The":[139],"overall":[140],"procedure":[141],"demonstrated":[143],"magnetic":[148,159,164],"force":[149],"around":[150],"magnet":[152],"motion":[155],"trajectories":[156],"particle":[160],"moving":[161],"inside":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}