{"id":"https://openalex.org/W1971582061","doi":"https://doi.org/10.1137/060656759","title":"Jump Diffusion over Feature Space for Object Recognition","display_name":"Jump Diffusion over Feature Space for Object Recognition","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1971582061","doi":"https://doi.org/10.1137/060656759","mag":"1971582061"},"language":"en","primary_location":{"id":"doi:10.1137/060656759","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060656759","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/A5048605667","display_name":"S\u00e9bastien Gadat","orcid":"https://orcid.org/0000-0003-1623-8550"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S\u00e9bastien Gadat","raw_affiliation_strings":["Institut Math\u00e9matiques de Toulouse, Universit\u00e9 Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Math\u00e9matiques de Toulouse, Universit\u00e9 Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France","institution_ids":["https://openalex.org/I134560555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048605667"],"corresponding_institution_ids":["https://openalex.org/I134560555"],"apc_list":null,"apc_paid":null,"fwci":0.6773,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82159521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"2","first_page":"904","last_page":"935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9980999827384949,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9980999827384949,"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/T10885","display_name":"Gene expression and cancer classification","score":0.9962999820709229,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/mathematics","display_name":"Mathematics","score":0.6664775013923645},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.5804969668388367},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.5484262108802795},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5438057780265808},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.532583475112915},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4790397882461548},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4722763001918793},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4598795473575592},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.430412232875824},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42498356103897095},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.4248505234718323},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41250312328338623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2481895387172699},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13653257489204407}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6664775013923645},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.5804969668388367},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.5484262108802795},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5438057780265808},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.532583475112915},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4790397882461548},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4722763001918793},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4598795473575592},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.430412232875824},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42498356103897095},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.4248505234718323},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41250312328338623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2481895387172699},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13653257489204407},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/060656759","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060656759","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1484011201","https://openalex.org/W1484267881","https://openalex.org/W1499021337","https://openalex.org/W1508280906","https://openalex.org/W1523471994","https://openalex.org/W1588228676","https://openalex.org/W1601741105","https://openalex.org/W1996355918","https://openalex.org/W2007615926","https://openalex.org/W2009349041","https://openalex.org/W2019125032","https://openalex.org/W2032836743","https://openalex.org/W2041459929","https://openalex.org/W2062908542","https://openalex.org/W2067885219","https://openalex.org/W2097839764","https://openalex.org/W2106596127","https://openalex.org/W2109363337","https://openalex.org/W2110298216","https://openalex.org/W2117662942","https://openalex.org/W2120240539","https://openalex.org/W2124722975","https://openalex.org/W2146653490","https://openalex.org/W2149454242","https://openalex.org/W2158001550","https://openalex.org/W2620898487","https://openalex.org/W2735648619","https://openalex.org/W2802739963","https://openalex.org/W3143625801","https://openalex.org/W4242344947"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W3031039437","https://openalex.org/W183202219","https://openalex.org/W3095877357","https://openalex.org/W2072565696","https://openalex.org/W1964286703","https://openalex.org/W2169866437"],"abstract_inverted_index":{"We":[0,87],"present":[1],"a":[2,6,14,18,23,32,46,51,76,122],"dynamical":[3],"model":[4],"for":[5],"population":[7],"of":[8,17,59,83,94,118],"tests":[9],"in":[10],"pattern":[11],"recognition.":[12],"Taking":[13],"preprocessed":[15],"initialization":[16],"feature":[19,41,85],"set,":[20],"we":[21,69,113],"apply":[22],"stochastic":[24],"algorithm":[25,44,101],"based":[26],"on":[27,56,91],"an":[28],"efficiency":[29],"criterion":[30],"and":[31,38,68,109],"Gaussian":[33],"noise":[34],"to":[35,79,102],"recursively":[36],"build":[37],"improve":[39],"the":[40,57,81,84,92,95,115,127],"space.":[42],"This":[43],"simulates":[45],"Markov":[47],"chain":[48],"which":[49],"estimates":[50],"probability":[52],"distribution":[53],"${\\mathbb":[54],"P}$":[55],"set":[58],"features.":[60],"The":[61],"features":[62,96],"are":[63,75],"structured":[64],"as":[65,106,121],"binary":[66],"trees":[67],"show":[70],"that":[71],"such":[72,105],"random":[73],"forests":[74],"good":[77],"way":[78],"represent":[80],"evolution":[82],"set.":[86],"then":[88],"obtain":[89],"properties":[90],"dynamic":[93],"space":[97],"before":[98],"applying":[99],"this":[100],"practical":[103],"examples":[104],"face":[107],"detection":[108],"microarray":[110],"analysis.":[111],"Lastly,":[112],"identify":[114],"weak":[116],"limit":[117],"our":[119],"process":[120,124],"jump-diffusion":[123],"defined":[125],"using":[126],"Skorokhod":[128],"map":[129],"over":[130],"simplices.":[131]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
