{"id":"https://openalex.org/W1978492924","doi":"https://doi.org/10.1109/acc.2013.6580001","title":"Sparse approximation based Gaussian mixture model approach for uncertainty propagation for nonlinear systems","display_name":"Sparse approximation based Gaussian mixture model approach for uncertainty propagation for nonlinear systems","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W1978492924","doi":"https://doi.org/10.1109/acc.2013.6580001","mag":"1978492924"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","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/A5100746738","display_name":"Vishwajeet Kumar","orcid":"https://orcid.org/0000-0002-5783-5207"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kumar Vishwajeet","raw_affiliation_strings":["University at Buffalo, The State University of New York, Amherst, NY, USA","SUNY - Univ. at Buffalo, Amherst, NY, USA"],"affiliations":[{"raw_affiliation_string":"University at Buffalo, The State University of New York, Amherst, NY, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"SUNY - Univ. at Buffalo, Amherst, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022429401","display_name":"Puneet Singla","orcid":"https://orcid.org/0000-0002-2441-2531"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Puneet Singla","raw_affiliation_strings":["University at Buffalo, The State University of New York, Amherst, NY, USA","SUNY - Univ. at Buffalo, Amherst, NY, USA"],"affiliations":[{"raw_affiliation_string":"University at Buffalo, The State University of New York, Amherst, NY, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"SUNY - Univ. at Buffalo, Amherst, NY, USA","institution_ids":["https://openalex.org/I63190737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100746738"],"corresponding_institution_ids":["https://openalex.org/I63190737"],"apc_list":null,"apc_paid":null,"fwci":0.4809,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74416029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1213","last_page":"1218"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.994700014591217,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9939000010490417,"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/gaussian","display_name":"Gaussian","score":0.5591713190078735},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5298091173171997},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4737623333930969},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4060512185096741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4002435803413391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3437460660934448},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3397878408432007},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09325456619262695}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5591713190078735},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5298091173171997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4737623333930969},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4060512185096741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4002435803413391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3437460660934448},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3397878408432007},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09325456619262695},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6580001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1963763873","https://openalex.org/W1964849905","https://openalex.org/W1974774078","https://openalex.org/W1981936413","https://openalex.org/W2070898270","https://openalex.org/W2099867508","https://openalex.org/W2105934661","https://openalex.org/W2107861471","https://openalex.org/W2114759290","https://openalex.org/W2115193912","https://openalex.org/W2118292158","https://openalex.org/W2121075403","https://openalex.org/W2123487311","https://openalex.org/W2134494829","https://openalex.org/W2139168396","https://openalex.org/W2323833242","https://openalex.org/W2326599878","https://openalex.org/W2782953637","https://openalex.org/W3016005719","https://openalex.org/W6678340930","https://openalex.org/W6747835017"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537","https://openalex.org/W2052122378","https://openalex.org/W2544423928"],"abstract_inverted_index":{"A":[0],"new":[1],"method":[2,30,93],"is":[3,31,98],"proposed":[4,94],"to":[5,14,54,80,84],"determine":[6],"the":[7,16,34,56,61,64,68,73,82,92],"number":[8,69],"of":[9,20,36,60,63,70],"components":[10],"that":[11],"are":[12],"sufficient":[13],"estimate":[15],"probability":[17],"density":[18],"function":[19],"a":[21],"non-linear":[22],"dynamic":[23],"system":[24],"using":[25],"Gaussian":[26],"sum":[27],"filter.":[28],"This":[29],"based":[32],"upon":[33],"combination":[35],"L":[37,42,48,74],"<sub":[38,43,49,75],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,44,50,76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[40,51],"and":[41,100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[45,77],"norm.":[46],"While":[47],"norm":[52,78],"tries":[53,79],"shift":[55],"solution":[57],"towards":[58],"one":[59],"vertices":[62],"simplex,":[65],"thus,":[66],"minimizing":[67],"non-zero":[71],"quantities,":[72],"reduce":[81],"error":[83],"as":[85,87],"low":[86],"possible.":[88],"Unlike":[89],"previous":[90],"methods,":[91],"in":[95],"this":[96],"paper":[97],"simple":[99],"computationally":[101],"less":[102],"expensive.":[103]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
