{"id":"https://openalex.org/W7161277474","doi":"https://doi.org/10.48550/arxiv.2605.14852","title":"An integration-free approach for particle flow filtering","display_name":"An integration-free approach for particle flow filtering","publication_year":2026,"publication_date":"2026-05-14","ids":{"openalex":"https://openalex.org/W7161277474","doi":"https://doi.org/10.48550/arxiv.2605.14852"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.14852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14852","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.14852","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037300214","display_name":"Domonkos Csuzdi","orcid":"https://orcid.org/0000-0003-4774-3330"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Csuzdi, Domonkos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136264729","display_name":"Tam\u00e1s B\u00e9csi","orcid":"https://orcid.org/0000-0002-1487-9672"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B\u00e9csi, Tam\u00e1s","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024105150","display_name":"Oliv\u00e9r T\u00f6r\u0151","orcid":"https://orcid.org/0000-0002-7288-5229"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T\u00f6r\u0151, Oliv\u00e9r","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":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.6146000027656555,"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":0.6146000027656555,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.0714000016450882,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.05290000140666962,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/particle-filter","display_name":"Particle filter","score":0.6452000141143799},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5618000030517578},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.5213000178337097},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5062000155448914},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4788999855518341},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.454800009727478},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4546000063419342},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.450300008058548},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.44679999351501465},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4090999960899353}],"concepts":[{"id":"https://openalex.org/C52421305","wikidata":"https://www.wikidata.org/wiki/Q1151499","display_name":"Particle filter","level":3,"score":0.6452000141143799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5870000123977661},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5618000030517578},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5465999841690063},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.5213000178337097},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5062000155448914},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4788999855518341},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.454800009727478},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4546000063419342},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.450300008058548},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4090999960899353},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.37869998812675476},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3677999973297119},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.358599990606308},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3580999970436096},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.34880000352859497},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.34439998865127563},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.33869999647140503},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32989999651908875},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.319599986076355},{"id":"https://openalex.org/C41614226","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering problem","level":4,"score":0.3167000114917755},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2971000075340271},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.26080000400543213},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.2599000036716461},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.14852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14852","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.14852","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.14852","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6624740362167358}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Log-homotopy":[0],"particle":[1,66,157,185],"flow":[2,67,186],"filters":[3,36],"realize":[4],"nonlinear":[5,123,161],"Bayesian":[6],"estimation":[7],"by":[8,23],"continuously":[9],"migrating":[10],"samples":[11],"from":[12,45],"the":[13,16,38,62,75,88,94,107,137,141,147,171,175],"prior":[14],"to":[15,51,106,183],"posterior":[17],"distribution.":[18],"This":[19,53],"transport":[20],"is":[21,37,104,153],"governed":[22],"a":[24,78,129,154,165,179],"pseudo-time":[25],"ordinary":[26],"differential":[27],"equation":[28],"(ODE).":[29],"A":[30],"major":[31],"practical":[32],"challenge":[33],"of":[34,143],"these":[35],"need":[39],"for":[40,61,86,122,159],"numerical":[41],"integration,":[42],"which":[43],"suffers":[44],"high":[46],"computational":[47],"cost":[48,181],"and":[49,93,188],"susceptibility":[50],"stiffness.":[52],"paper":[54],"develops":[55],"an":[56,118],"exact,":[57],"integration-free":[58,156],"closed-form":[59,83,115],"solution":[60,103],"exact":[63,108],"Daum--Huang":[64],"deterministic":[65,184],"under":[68],"vector":[69],"linear":[70],"Gaussian":[71],"measurements.":[72],"By":[73],"transforming":[74],"ODE":[76],"into":[77],"specific":[79],"eigenspace,":[80],"we":[81],"derive":[82],"algebraic":[84],"expressions":[85],"both":[87],"homogeneous":[89],"state":[90],"transition":[91],"matrix":[92],"inhomogeneous":[95],"forcing":[96],"term.":[97],"We":[98,112,126],"prove":[99],"that":[100,135],"this":[101,114],"analytic":[102],"equivalent":[105],"Kalman":[109],"measurement":[110,124,162],"update.":[111],"embed":[113],"evaluation":[116],"within":[117],"$N$-step":[119],"piecewise":[120],"method":[121],"models.":[125,163],"further":[127],"propose":[128],"constant":[130],"contraction":[131,139],"rate":[132],"substep":[133],"schedule":[134],"equalizes":[136],"per-step":[138],"along":[140],"eigendirection":[142],"$D$":[144],"associated":[145],"with":[146],"largest":[148],"eigenvalue":[149],"$\u03b1_{\\max}$.":[150],"The":[151],"result":[152],"stiffness-mitigating,":[155],"update":[158],"highly":[160],"On":[164],"bearings-only":[166],"tracking":[167],"benchmark,":[168],"it":[169],"achieves":[170],"lowest":[172],"error":[173],"among":[174],"compared":[176],"filters,":[177],"at":[178],"per-update":[180],"comparable":[182],"baselines":[187],"substantially":[189],"lower":[190],"than":[191],"stochastic":[192],"flows.":[193]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-16T00:00:00"}
