{"id":"https://openalex.org/W2964050352","doi":"https://doi.org/10.1109/lcsys.2019.2951093","title":"Asymptotically Exact Unweighted Particle Filter for Manifold-Valued Hidden States and Point Process Observations","display_name":"Asymptotically Exact Unweighted Particle Filter for Manifold-Valued Hidden States and Point Process Observations","publication_year":2019,"publication_date":"2019-11-05","ids":{"openalex":"https://openalex.org/W2964050352","doi":"https://doi.org/10.1109/lcsys.2019.2951093","mag":"2964050352"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2019.2951093","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2951093","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/8755526/08890670.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/7782633/8755526/08890670.pdf","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":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Simone Carlo Surace","raw_affiliation_strings":["Department of Physiology, University of Bern, Bern, Switzerland","UNIVERSITY OF BERN"],"raw_orcid":"https://orcid.org/0000-0001-9321-6481","affiliations":[{"raw_affiliation_string":"Department of Physiology, University of Bern, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"UNIVERSITY OF BERN","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064784555","display_name":"Anna Kutschireiter","orcid":"https://orcid.org/0000-0002-7592-3286"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]},{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Anna Kutschireiter","raw_affiliation_strings":["Department of Neurobiology, Harvard Medical School, Boston, USA","Department of Physiology, University of Bern, Bern, Switzerland","Department of Physiology, University of Bern Bern Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-7592-3286","affiliations":[{"raw_affiliation_string":"Department of Neurobiology, Harvard Medical School, Boston, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Department of Physiology, University of Bern, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Department of Physiology, University of Bern Bern Switzerland","institution_ids":["https://openalex.org/I118564535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061157913","display_name":"Jean-Pascal Pfister","orcid":"https://orcid.org/0000-0002-1847-3389"},"institutions":[{"id":"https://openalex.org/I118564535","display_name":"University of Bern","ror":"https://ror.org/02k7v4d05","country_code":"CH","type":"education","lineage":["https://openalex.org/I118564535"]},{"id":"https://openalex.org/I12708293","display_name":"SIB Swiss Institute of Bioinformatics","ror":"https://ror.org/002n09z45","country_code":"CH","type":"nonprofit","lineage":["https://openalex.org/I12708293"]},{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]},{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jean-Pascal Pfister","raw_affiliation_strings":["Department of Physiology, University of Bern, Bern, Switzerland","Institute of Neuroinformatics, University of Zurich and ETH Zurich, Z\u00fcrich, Switzerland","Department of Physiology, University of Bern Bern Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-1847-3389","affiliations":[{"raw_affiliation_string":"Department of Physiology, University of Bern, Bern, Switzerland","institution_ids":["https://openalex.org/I118564535"]},{"raw_affiliation_string":"Institute of Neuroinformatics, University of Zurich and ETH Zurich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I12708293","https://openalex.org/I202697423","https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Physiology, University of Bern Bern Switzerland","institution_ids":["https://openalex.org/I118564535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08421553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"2","first_page":"480","last_page":"485"},"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":0.9979000091552734,"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":0.9979000091552734,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9708999991416931,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9380999803543091,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6301278471946716},{"id":"https://openalex.org/keywords/conditional-probability-distribution","display_name":"Conditional probability distribution","score":0.6053338646888733},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5214342474937439},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5106390118598938},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.4535658061504364},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43481001257896423},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4333825707435608},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42758461833000183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3032369017601013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13505160808563232},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13171356916427612}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6301278471946716},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.6053338646888733},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5214342474937439},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5106390118598938},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.4535658061504364},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43481001257896423},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4333825707435608},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42758461833000183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3032369017601013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13505160808563232},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13171356916427612},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1109/lcsys.2019.2951093","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2951093","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/8755526/08890670.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.10143","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.10143","pdf_url":"https://arxiv.org/pdf/1907.10143","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2964050352","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.10143.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:boris.unibe.ch:144041","is_oa":true,"landing_page_url":"https://boris.unibe.ch/144041/","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 (2020). Asymptotically Exact Unweighted Particle Filter for Manifold-Valued Hidden States and Point Process Observations. IEEE Control Systems Letters, 4(2), pp. 480-485. 10.1109/LCSYS.2019.2951093 <http://dx.doi.org/10.1109/LCSYS.2019.2951093>","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/391812","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/391812","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":"IEEE Control Systems Letters, 4 (2)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1907.10143","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.10143","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"},{"id":"doi:10.3929/ethz-b-000391812","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000391812","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"},{"id":"doi:10.7892/boris.144041","is_oa":true,"landing_page_url":"https://doi.org/10.7892/boris.144041","pdf_url":null,"source":{"id":"https://openalex.org/S7407053152","display_name":"Open Access CRIS of the University of Bern","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"JournalArticle"}],"best_oa_location":{"id":"doi:10.1109/lcsys.2019.2951093","is_oa":true,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2951093","pdf_url":"https://ieeexplore.ieee.org/ielx7/7782633/8755526/08890670.pdf","source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G289943086","display_name":null,"funder_award_id":"PP00P3","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/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964050352.pdf","grobid_xml":"https://content.openalex.org/works/W2964050352.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1573874356","https://openalex.org/W2002594585","https://openalex.org/W2004247736","https://openalex.org/W2058490559","https://openalex.org/W2101015373","https://openalex.org/W2157666753","https://openalex.org/W2162155934","https://openalex.org/W2263980889","https://openalex.org/W2570176783","https://openalex.org/W2571463739","https://openalex.org/W2609924459","https://openalex.org/W2767432956","https://openalex.org/W2793337242","https://openalex.org/W2886133390","https://openalex.org/W2963752762","https://openalex.org/W6675449963","https://openalex.org/W6682936401"],"related_works":["https://openalex.org/W2986492373","https://openalex.org/W3101274747","https://openalex.org/W2811378426","https://openalex.org/W2397582694","https://openalex.org/W2067116300","https://openalex.org/W2784871382","https://openalex.org/W2043714360","https://openalex.org/W2621998531","https://openalex.org/W3047409223","https://openalex.org/W1980604781","https://openalex.org/W3104251110","https://openalex.org/W3003489564","https://openalex.org/W2949562843","https://openalex.org/W309545686","https://openalex.org/W2128266125","https://openalex.org/W2913932550","https://openalex.org/W2953382313","https://openalex.org/W2159882399","https://openalex.org/W2973093530","https://openalex.org/W3176024915"],"abstract_inverted_index":{"The":[0,191],"filtering":[1],"of":[2,30,37,76,107,147,150,164,188,198,204],"a":[3,8,28,74,81,91,95,98,104],"Markov":[4],"diffusion":[5],"process":[6,12,133],"on":[7,90,94],"manifold":[9],"from":[10,61,117],"counting":[11],"observations":[13],"leads":[14],"to":[15,27,53,103,139,175,180],"`large'":[16],"changes":[17],"in":[18],"the":[19,31,34,38,62,78,108,111,118,148,151,161,165,167,181,186,189],"conditional":[20],"distribution":[21,43],"upon":[22],"an":[23,86,125],"observed":[24],"event,":[25],"corresponding":[26],"multiplication":[29],"density":[32],"by":[33,46,73,80],"intensity":[35],"function":[36],"observation":[39],"process.":[40],"If":[41],"that":[42,58,144],"is":[44,88],"represented":[45],"unweighted":[47],"samples":[48],"or":[49],"particles,":[50],"they":[51,59],"need":[52],"be":[54],"jointly":[55],"transformed":[56],"such":[57,85],"sample":[60],"modified":[63],"distribution.":[64],"In":[65],"previous":[66],"work,":[67],"this":[68],"transformation":[69],"has":[70],"been":[71],"approximated":[72],"translation":[75],"all":[77],"particles":[79,136],"common":[82],"vector.":[83],"However,":[84],"operation":[87],"ill-defined":[89],"manifold,":[92],"and":[93],"vector":[96],"space,":[97],"constant":[99],"gain":[100,187],"can":[101,194],"lead":[102],"wrong":[105],"estimate":[106],"uncertainty":[109],"over":[110],"hidden":[112,152],"state.":[113],"Here,":[114],"taking":[115],"inspiration":[116],"feedback":[119],"particle":[120],"filter":[121,128,193],"(FPF),":[122],"we":[123],"derive":[124],"asymptotically":[126],"exact":[127],"(called":[129],"ppFPF)":[130],"for":[131,185,202],"point":[132],"observations,":[134],"whose":[135],"evolve":[137],"according":[138],"intrinsic":[140],"(i.e.,":[141],"parametrization-invariant)":[142],"dynamics":[143,149],"are":[145,171],"composed":[146],"state":[153],"plus":[154],"additional":[155],"control":[156,169],"terms.":[157],"While":[158],"not":[159],"sharing":[160],"gain-times-error":[162],"structure":[163],"FPF,":[166],"optimal":[168],"terms":[170],"expressed":[172],"as":[173],"solutions":[174,203],"partial":[176],"differential":[177],"equations":[178],"analogous":[179],"weighted":[182,205],"Poisson":[183,206],"equation":[184],"FPF.":[190],"proposed":[192],"therefore":[195],"make":[196],"use":[197],"existing":[199],"approximation":[200],"algorithms":[201],"equations.":[207]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}