{"id":"https://openalex.org/W4214641456","doi":"https://doi.org/10.1109/taes.2022.3153886","title":"Stiffness Mitigation in Stochastic Particle Flow Filters","display_name":"Stiffness Mitigation in Stochastic Particle Flow Filters","publication_year":2022,"publication_date":"2022-02-25","ids":{"openalex":"https://openalex.org/W4214641456","doi":"https://doi.org/10.1109/taes.2022.3153886"},"language":"en","primary_location":{"id":"doi:10.1109/taes.2022.3153886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2022.3153886","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic Systems","raw_type":"journal-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/A5023131084","display_name":"Liyi Dai","orcid":"https://orcid.org/0000-0003-1386-4070"},"institutions":[{"id":"https://openalex.org/I1306686416","display_name":"RTX (United States)","ror":"https://ror.org/0354t7b78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306686416"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Liyi Dai","raw_affiliation_strings":["Raytheon Missiles and Defense, Woburn, MA, USA"],"affiliations":[{"raw_affiliation_string":"Raytheon Missiles and Defense, Woburn, MA, USA","institution_ids":["https://openalex.org/I1306686416"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026005917","display_name":"Fred L. Daum","orcid":"https://orcid.org/0000-0002-3231-8000"},"institutions":[{"id":"https://openalex.org/I1306686416","display_name":"RTX (United States)","ror":"https://ror.org/0354t7b78","country_code":"US","type":"company","lineage":["https://openalex.org/I1306686416"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fred Daum","raw_affiliation_strings":["Raytheon Missiles and Defense, Woburn, MA, USA"],"affiliations":[{"raw_affiliation_string":"Raytheon Missiles and Defense, Woburn, MA, USA","institution_ids":["https://openalex.org/I1306686416"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023131084"],"corresponding_institution_ids":["https://openalex.org/I1306686416"],"apc_list":null,"apc_paid":null,"fwci":0.3388,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.55555384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"4","first_page":"3563","last_page":"3577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.958299994468689,"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/T11220","display_name":"Water Systems and Optimization","score":0.9416000247001648,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/mathematics","display_name":"Mathematics","score":0.7471625804901123},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.6450976133346558},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5440217852592468},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5427636504173279},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5247150659561157},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.47213226556777954},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10066202282905579}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7471625804901123},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6450976133346558},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5440217852592468},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5427636504173279},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5247150659561157},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.47213226556777954},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10066202282905579},{"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:10.1109/taes.2022.3153886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2022.3153886","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W97864957","https://openalex.org/W650307822","https://openalex.org/W1509923322","https://openalex.org/W1579485993","https://openalex.org/W1864720896","https://openalex.org/W1967447998","https://openalex.org/W1980347605","https://openalex.org/W1983097489","https://openalex.org/W1995070510","https://openalex.org/W2002594585","https://openalex.org/W2040294062","https://openalex.org/W2055140741","https://openalex.org/W2069963355","https://openalex.org/W2071506645","https://openalex.org/W2095230945","https://openalex.org/W2109628201","https://openalex.org/W2122512809","https://openalex.org/W2155809947","https://openalex.org/W2317926736","https://openalex.org/W2398764461","https://openalex.org/W2589025393","https://openalex.org/W2611660948","https://openalex.org/W2798500587","https://openalex.org/W2805910867","https://openalex.org/W2891895381","https://openalex.org/W2921782823","https://openalex.org/W3012320752","https://openalex.org/W3015903291","https://openalex.org/W3107202282","https://openalex.org/W3138840489","https://openalex.org/W3155218109","https://openalex.org/W3210825051","https://openalex.org/W3214006188","https://openalex.org/W4205258408","https://openalex.org/W4235566839","https://openalex.org/W4255478066","https://openalex.org/W4302769929","https://openalex.org/W6621496574","https://openalex.org/W6635255427","https://openalex.org/W6726108735","https://openalex.org/W6726354970","https://openalex.org/W6734797129","https://openalex.org/W6760300928","https://openalex.org/W6784742443","https://openalex.org/W6792924117","https://openalex.org/W6796633843","https://openalex.org/W6803993044"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W1704347466","https://openalex.org/W4283017538","https://openalex.org/W1545275724","https://openalex.org/W2076935033","https://openalex.org/W781002220","https://openalex.org/W4298171390","https://openalex.org/W2054913407","https://openalex.org/W2790537288","https://openalex.org/W2046497254"],"abstract_inverted_index":{"The":[0,88,131],"linear":[1,36],"convex":[2],"log-homotopy":[3,39],"has":[4],"been":[5],"used":[6],"in":[7,127],"the":[8,48,56,64,76,80,84,119,123,134],"derivation":[9],"of":[10,26,38,50,58,66,79,83,122,133],"particle":[11,44,59,128],"flow":[12,45,129],"filters.":[13,130],"One":[14],"natural":[15],"question":[16,31],"is":[17,20,137],"whether":[18],"it":[19],"beneficial":[21],"to":[22,111],"consider":[23],"other":[24],"forms":[25],"homotopy.":[27],"We":[28,61],"revisit":[29],"this":[30,115],"by":[32,74,95,139],"considering":[33],"a":[34,97],"general":[35],"form":[37],"for":[40,55],"which":[41],"we":[42],"derive":[43],"filters,":[46],"validate":[47],"distribution":[49],"flows,":[51],"and":[52],"obtain":[53],"conditions":[54],"stability":[57],"flows.":[60],"then":[62],"formulate":[63],"problem":[65,73],"stiffness":[67],"mitigation":[68],"as":[69],"an":[70],"optimal":[71,89],"control":[72],"minimizing":[75],"condition":[77,113],"number":[78],"Hessian":[81],"matrix":[82,107],"posterior":[85],"density":[86],"function.":[87],"homotopy":[90],"can":[91],"be":[92],"efficiently":[93],"obtained":[94],"solving":[96],"1-D":[98],"second-order":[99],"two-point":[100],"boundary":[101],"value":[102],"problem.":[103],"Compared":[104],"with":[105],"traditional":[106],"analysis":[108],"based":[109],"approaches":[110],"improving":[112],"numbers,":[114],"approach":[116,136],"explicitly":[117],"exploits":[118],"special":[120],"structure":[121],"stochastic":[124],"differential":[125],"equations":[126],"effectiveness":[132],"proposed":[135],"demonstrated":[138],"numerical":[140],"examples.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-04T09:10:02.777135","created_date":"2025-10-10T00:00:00"}
