{"id":"https://openalex.org/W1989941145","doi":"https://doi.org/10.1137/100788987","title":"Particle Approximation of the Intensity Measures of a Spatial Branching Point Process Arising in Multitarget Tracking","display_name":"Particle Approximation of the Intensity Measures of a Spatial Branching Point Process Arising in Multitarget Tracking","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1989941145","doi":"https://doi.org/10.1137/100788987","mag":"1989941145"},"language":"en","primary_location":{"id":"doi:10.1137/100788987","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100788987","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5080037745","display_name":"Fran\u00e7ois Caron","orcid":"https://orcid.org/0000-0002-3952-224X"},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Francois Caron","raw_affiliation_strings":["Advanced Learning Evolutionary Algorithms"],"affiliations":[{"raw_affiliation_string":"Advanced Learning Evolutionary Algorithms","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044731110","display_name":"Pierre Del Moral","orcid":"https://orcid.org/0000-0003-1151-6662"},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Pierre Del Moral","raw_affiliation_strings":["Advanced Learning Evolutionary Algorithms"],"affiliations":[{"raw_affiliation_string":"Advanced Learning Evolutionary Algorithms","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091677854","display_name":"Randal Douc","orcid":"https://orcid.org/0000-0003-3910-9495"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arnaud Doucet","raw_affiliation_strings":["Dept of Statistics & Dept of Computer Science"],"affiliations":[{"raw_affiliation_string":"Dept of Statistics & Dept of Computer Science","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001991811","display_name":"Michele Pace","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Michele Pace","raw_affiliation_strings":["Advanced Learning Evolutionary Algorithms"],"affiliations":[{"raw_affiliation_string":"Advanced Learning Evolutionary Algorithms","institution_ids":["https://openalex.org/I4210099593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080037745"],"corresponding_institution_ids":["https://openalex.org/I4210099593"],"apc_list":null,"apc_paid":null,"fwci":0.7985,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.70402486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"4","first_page":"1766","last_page":"1792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.806746780872345},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7061478495597839},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.6533496379852295},{"id":"https://openalex.org/keywords/branching-process","display_name":"Branching process","score":0.6119738817214966},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5932114124298096},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4759485423564911},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.4533906579017639},{"id":"https://openalex.org/keywords/intensity","display_name":"Intensity (physics)","score":0.4312908351421356},{"id":"https://openalex.org/keywords/limit-of-a-sequence","display_name":"Limit of a sequence","score":0.411874383687973},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3739689290523529},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34546661376953125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33172857761383057},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3313005864620209},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15191376209259033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13182571530342102}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.806746780872345},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7061478495597839},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.6533496379852295},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.6119738817214966},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5932114124298096},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4759485423564911},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.4533906579017639},{"id":"https://openalex.org/C93038891","wikidata":"https://www.wikidata.org/wiki/Q1061524","display_name":"Intensity (physics)","level":2,"score":0.4312908351421356},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.411874383687973},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3739689290523529},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34546661376953125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33172857761383057},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3313005864620209},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15191376209259033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13182571530342102},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/100788987","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100788987","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:inria-00464130v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00464130","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2011, 49 (4), pp.1766-1792. &#x27E8;10.1137/100788987&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/115859","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/115859","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/165762","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/165762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W70609629","https://openalex.org/W201155865","https://openalex.org/W277831955","https://openalex.org/W646279166","https://openalex.org/W1483307070","https://openalex.org/W1971263133","https://openalex.org/W2000187726","https://openalex.org/W2014787937","https://openalex.org/W2079034501","https://openalex.org/W2096359977","https://openalex.org/W2125431514","https://openalex.org/W2136472099","https://openalex.org/W2137585588","https://openalex.org/W2148006895","https://openalex.org/W2156686797","https://openalex.org/W2161435744","https://openalex.org/W2207540142","https://openalex.org/W2950543536","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W2032876129","https://openalex.org/W4246768271","https://openalex.org/W1980756862","https://openalex.org/W4237486913","https://openalex.org/W2529022842","https://openalex.org/W4231405256","https://openalex.org/W2016440067","https://openalex.org/W2952330198","https://openalex.org/W1981774787"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,12,15,41,81,95],"this":[3,93],"paper":[4],"is":[5],"twofold.":[6],"First":[7],"we":[8,48,66],"analyze":[9,51],"the":[10,79,86],"sequence":[11],"intensity":[13,60],"measures":[14],"a":[16,23,39,73],"spatial":[17,96],"branching":[18,97],"point":[19,98],"process":[20],"arising":[21],"in":[22],"multiple-target":[24],"tracking":[25],"context.":[26],"We":[27],"study":[28],"its":[29,33],"stability":[30],"properties,":[31],"characterize":[32],"long":[34],"time":[35],"behavior,":[36],"and":[37,50,69,72],"provide":[38],"series":[40],"weak":[42],"Lipschitz-type":[43],"functional":[44,74],"contraction":[45],"inequalities.":[46],"Second":[47],"design":[49],"an":[52],"original":[53],"particle":[54],"scheme":[55],"to":[56],"approximate":[57],"numerically":[58],"these":[59,84],"measures.":[61],"Under":[62],"appropriate":[63],"regularity":[64],"conditions,":[65],"obtain":[67],"uniform":[68],"nonasymptotic":[70],"estimates":[71],"central":[75],"limit":[76],"theorem.":[77],"To":[78],"best":[80],"our":[82],"knowledge,":[83],"are":[85],"first":[87],"sharp":[88],"theoretical":[89],"results":[90],"available":[91],"for":[92],"class":[94],"processes.":[99]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}
