{"id":"https://openalex.org/W4385292318","doi":"https://doi.org/10.48550/arxiv.2307.13147","title":"Extending Path-Dependent NJ-ODEs to Noisy Observations and a Dependent Observation Framework","display_name":"Extending Path-Dependent NJ-ODEs to Noisy Observations and a Dependent Observation Framework","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385292318","doi":"https://doi.org/10.48550/arxiv.2307.13147"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2307.13147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/2307.13147","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031211380","display_name":"William Andersson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andersson, William","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010858034","display_name":"Jakob Heiss","orcid":"https://orcid.org/0000-0003-1447-6782"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Heiss, Jakob","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049192596","display_name":"Florian Krach","orcid":"https://orcid.org/0000-0002-4506-8792"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Krach, Florian","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5084818994","display_name":"Josef Teichmann","orcid":"https://orcid.org/0000-0003-0125-7484"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Teichmann, Josef","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"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":{"min":0,"max":67},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9443,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.9443,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7214579}],"concepts":[{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7214579},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.62405795},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45935822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37126485},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.21489313},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16976148}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2307.13147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2307.13147","pdf_url":"http://arxiv.org/pdf/2307.13147","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.2307.13147","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2307.13147","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":["Cornell University"],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W625783435","https://openalex.org/W4391375266","https://openalex.org/W4256082577","https://openalex.org/W3134495997","https://openalex.org/W2748952813","https://openalex.org/W2384641672","https://openalex.org/W2376428685","https://openalex.org/W2371448224","https://openalex.org/W2363680170","https://openalex.org/W2048742619"],"abstract_inverted_index":{"The":[0],"Path-Dependent":[1],"Neural":[2],"Jump":[3],"Ordinary":[4],"Differential":[5],"Equation":[6],"(PD-NJ-ODE)":[7],"is":[8],"a":[9,112,136],"model":[10],"for":[11,79],"predicting":[12],"continuous-time":[13],"stochastic":[14],"processes":[15],"with":[16,121],"irregular":[17],"and":[18,42,52,70,124],"incomplete":[19,34],"observations.":[20,36],"In":[21,59,81],"particular,":[22,82],"the":[23,39,43,86,92,107,127],"method":[24],"learns":[25],"optimal":[26],"forecasts":[27],"given":[28],"irregularly":[29],"sampled":[30],"time":[31],"series":[32],"of":[33,88,99],"past":[35],"So":[37],"far":[38],"process":[40],"itself":[41],"coordinate-wise":[44],"observation":[45],"times":[46],"were":[47,54],"assumed":[48,55],"to":[49,56,66,94,105,119,135],"be":[50,57],"independent":[51],"observations":[53,123],"noiseless.":[58],"this":[60],"work":[61],"we":[62,83,110],"discuss":[63],"two":[64],"extensions":[65],"lift":[67,85],"these":[68],"restrictions":[69],"provide":[71],"theoretical":[72],"guarantees":[73],"as":[74,76],"well":[75],"empirical":[77],"examples":[78],"them.":[80],"can":[84],"assumption":[87],"independence":[89,101],"by":[90],"extending":[91],"theory":[93],"much":[95],"more":[96],"realistic":[97],"settings":[98],"conditional":[100],"without":[102],"any":[103],"need":[104],"change":[106],"algorithm.":[108],"Moreover,":[109],"introduce":[111],"new":[113],"loss":[114,130],"function,":[115],"which":[116],"allows":[117],"us":[118],"deal":[120],"noisy":[122],"explain":[125],"why":[126],"previously":[128],"used":[129],"function":[131],"did":[132],"not":[133],"lead":[134],"consistent":[137],"estimator.":[138]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4385292318","counts_by_year":[],"updated_date":"2025-01-04T17:40:24.542851","created_date":"2023-07-27"}