{"id":"https://openalex.org/W2609924459","doi":"https://doi.org/10.1137/17m1125340","title":"How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and without Importance Weights","display_name":"How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and without Importance Weights","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2609924459","doi":"https://doi.org/10.1137/17m1125340","mag":"2609924459"},"language":"en","primary_location":{"id":"doi:10.1137/17m1125340","is_oa":true,"landing_page_url":"https://doi.org/10.1137/17m1125340","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/17m1125340","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037939972","display_name":"Simone Carlo Surace","orcid":"https://orcid.org/0000-0001-9321-6481"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simone Carlo Surace","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064784555","display_name":"Anna Kutschireiter","orcid":"https://orcid.org/0000-0002-7592-3286"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anna Kutschireiter","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5061157913","display_name":"Jean-Pascal Pfister","orcid":"https://orcid.org/0000-0002-1847-3389"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Pascal Pfister","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.4871,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.93692318,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"61","issue":"1","first_page":"79","last_page":"91"},"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":0.9993000030517578,"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":0.9993000030517578,"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":0.9955000281333923,"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"}},{"id":"https://openalex.org/T11490","display_name":"Hydrological Forecasting Using AI","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.8138080835342407},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.8082998991012573},{"id":"https://openalex.org/keywords/particle-filter","display_name":"Particle filter","score":0.6644401550292969},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6265279650688171},{"id":"https://openalex.org/keywords/resampling","display_name":"Resampling","score":0.5171505808830261},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.4834514558315277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46962669491767883},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46029672026634216},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.448835551738739},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4406566023826599},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4391128420829773},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4006151556968689},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.3735309839248657},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3711177110671997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.328540176153183},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3223038911819458},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14796188473701477},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12388995289802551},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1215241551399231},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1106191873550415},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07509979605674744},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0601230263710022}],"concepts":[{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.8138080835342407},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.8082998991012573},{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.6644401550292969},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6265279650688171},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.5171505808830261},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4834514558315277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46962669491767883},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46029672026634216},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.448835551738739},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4406566023826599},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4391128420829773},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4006151556968689},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3735309839248657},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3711177110671997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.328540176153183},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3223038911819458},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14796188473701477},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12388995289802551},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1215241551399231},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1106191873550415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07509979605674744},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0601230263710022},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/17m1125340","is_oa":true,"landing_page_url":"https://doi.org/10.1137/17m1125340","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:doi:10.5167/uzh-149410","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"raw_type":"Text"},{"id":"pmh:oai:boris.unibe.ch:136719","is_oa":true,"landing_page_url":"https://boris.unibe.ch/136719/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401086","display_name":"Bern Open Repository and Information System (University of Bern)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118564535","host_organization_name":"University of Bern","host_organization_lineage":["https://openalex.org/I118564535"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Surace, Simone Carlo; Kutschireiter, Anna; Pfister, Jean-Pascal (2019). How to Avoid the Curse of Dimensionality: Scalability of Particle Filters with and without Importance Weights. SIAM review, 61(1), pp. 79-91. SIAM 10.1137/17M1125340 <http://dx.doi.org/10.1137/17M1125340>","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/328364","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/328364","pdf_url":null,"source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Siam Review, 61 (1)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.3929/ethz-b-000328364","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000328364","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1137/17m1125340","is_oa":true,"landing_page_url":"https://doi.org/10.1137/17m1125340","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4956004573","display_name":"Inference and Learning with Spiking Neurons","funder_award_id":"150637","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5106620330","display_name":"Filtering with Spiking Neurons","funder_award_id":"179060","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W186403726","https://openalex.org/W1628268552","https://openalex.org/W1670531616","https://openalex.org/W1828859704","https://openalex.org/W1992747726","https://openalex.org/W2001250891","https://openalex.org/W2002594585","https://openalex.org/W2005874252","https://openalex.org/W2036234630","https://openalex.org/W2041750361","https://openalex.org/W2058490559","https://openalex.org/W2079075738","https://openalex.org/W2081741802","https://openalex.org/W2098613108","https://openalex.org/W2104624927","https://openalex.org/W2126736494","https://openalex.org/W2134255235","https://openalex.org/W2150375101","https://openalex.org/W2150951085","https://openalex.org/W2157098139","https://openalex.org/W2162733643","https://openalex.org/W2271361270","https://openalex.org/W2606152085","https://openalex.org/W2748456849","https://openalex.org/W2951896087","https://openalex.org/W3037042468"],"related_works":["https://openalex.org/W2927378857","https://openalex.org/W2406829934","https://openalex.org/W2801696468","https://openalex.org/W2162253570","https://openalex.org/W1824810860","https://openalex.org/W2138381686","https://openalex.org/W1583020711","https://openalex.org/W1486580556","https://openalex.org/W3144709167","https://openalex.org/W2353687059"],"abstract_inverted_index":{"Particle":[0],"filters":[1,23,115],"are":[2],"a":[3,13,32,50,96,198],"popular":[4],"and":[5,119,183],"flexible":[6],"class":[7,15],"of":[8,16,42,69,72,84,110,131,162],"numerical":[9,167],"algorithms":[10],"to":[11,30,48,106,142,169],"solve":[12],"large":[14],"nonlinear":[17],"filtering":[18,60,151],"problems.":[19,61],"However,":[20],"standard":[21],"particle":[22,114,117,125,174],"with":[24,38,101],"importance":[25,85,163],"weights":[26,86],"have":[27],"been":[28],"shown":[29],"require":[31],"sample":[33],"size":[34],"that":[35,91,99,158,171],"increases":[36],"exponentially":[37],"the":[39,43,66,82,92,108,124,132,136,160],"dimension":[40],"$D$":[41],"state":[44],"space":[45],"in":[46,57,75,138],"order":[47,105,141],"achieve":[49],"certain":[51],"performance,":[52],"which":[53,78],"precludes":[54],"their":[55],"use":[56,116,161,166],"very":[58],"high-dimensional":[59],"Here,":[62],"we":[63,147],"focus":[64],"on":[65,95,154],"dynamic":[67],"aspect":[68],"this":[70,144,172],"\u201ccurse":[71],"dimensionality\u201d":[73],"(COD)":[74],"continuous-time":[76],"filtering,":[77],"is":[79],"caused":[80],"by":[81,177],"degeneracy":[83,93],"over":[87],"time.":[88],"We":[89,127,165],"show":[90,170],"occurs":[94],"time":[97],"scale":[98],"decreases":[100],"increasing":[102],"$D$.":[103],"In":[104,140],"soften":[107],"effects":[109],"weight":[111],"degeneracy,":[112],"most":[113],"resampling":[118],"improved":[120],"proposal":[121],"functions":[122],"for":[123],"motion.":[126],"explain":[128],"why":[129],"neither":[130],"two":[133],"can":[134],"prevent":[135],"COD":[137],"general.":[139],"address":[143],"fundamental":[145],"problem,":[146],"investigate":[148],"an":[149],"existing":[150],"algorithm":[152],"based":[153],"optimal":[155],"feedback":[156,173],"control":[157],"sidesteps":[159],"weights.":[164],"experiments":[168],"filter":[175],"(FPF)":[176],"[T.":[178],"Yang,":[179],"P.":[180,185],"G.":[181],"Mehta,":[182],"S.":[184],"Meyn,":[186],"IEEE":[187],"Trans.":[188],"Automat.":[189],"Control,":[190],"58":[191],"(2013),":[192],"pp.":[193],"2465--2480]":[194],"does":[195],"not":[196],"exhibit":[197],"COD.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}