{"id":"https://openalex.org/W4404342155","doi":"https://doi.org/10.48550/arxiv.2410.21917","title":"Identifiability Analysis of Linear ODE Systems with Hidden Confounders","display_name":"Identifiability Analysis of Linear ODE Systems with Hidden Confounders","publication_year":2024,"publication_date":"2024-10-29","ids":{"openalex":"https://openalex.org/W4404342155","doi":"https://doi.org/10.48550/arxiv.2410.21917"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2410.21917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21917","pdf_url":"https://arxiv.org/pdf/2410.21917","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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.21917","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108117150","display_name":"Yuanyuan Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wang, Yuanyuan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071784683","display_name":"Biwei Huang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Biwei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041675012","display_name":"Huang Wei","orcid":"https://orcid.org/0000-0002-0910-993X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Wei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082099388","display_name":"Xi Geng","orcid":"https://orcid.org/0000-0003-0023-3253"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Geng, Xi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102023771","display_name":"Mingming Gong","orcid":"https://orcid.org/0000-0001-7147-5589"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gong, Mingming","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108117150"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11749","display_name":"Iterative Learning Control Systems","score":0.9257000088691711,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/identifiability","display_name":"Identifiability","score":0.8977456092834473},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.8191344738006592},{"id":"https://openalex.org/keywords/confounding","display_name":"Confounding","score":0.6280982494354248},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.5487034916877747},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4174477458000183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41705816984176636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41701897978782654},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3896465599536896}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8977456092834473},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.8191344738006592},{"id":"https://openalex.org/C77350462","wikidata":"https://www.wikidata.org/wiki/Q1125472","display_name":"Confounding","level":2,"score":0.6280982494354248},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5487034916877747},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4174477458000183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41705816984176636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41701897978782654},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3896465599536896}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2410.21917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21917","pdf_url":"https://arxiv.org/pdf/2410.21917","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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2410.21917","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.21917","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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.21917","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21917","pdf_url":"https://arxiv.org/pdf/2410.21917","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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2353027108","display_name":"Collaborative Research: ATD: Hawkes Process-Based Causal Relationship Discovery For Complex Threat Detection and Forecasting","funder_award_id":"2428058","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4464889817","display_name":"Collaborative Research: CDS&E-MSS: Community detection via covariance structures","funder_award_id":"2401020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320315885","display_name":"Australian Government","ror":"https://ror.org/0314h5y94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404342155.pdf","grobid_xml":"https://content.openalex.org/works/W4404342155.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2724847603","https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W3161724164","https://openalex.org/W2113105229","https://openalex.org/W2278691477","https://openalex.org/W2046407104","https://openalex.org/W2799696491","https://openalex.org/W2001698084","https://openalex.org/W3012277090"],"abstract_inverted_index":{"The":[0,131],"identifiability":[1,23,39,62,147,153],"analysis":[2,60,107],"of":[3,61,75,100,121,139,155,183],"linear":[4,64],"Ordinary":[5],"Differential":[6],"Equation":[7],"(ODE)":[8],"systems":[9,66],"is":[10,33],"a":[11,58,126,135,144,181],"necessary":[12],"prerequisite":[13],"for":[14,38],"making":[15],"reliable":[16],"causal":[17,86,115,119],"inferences":[18],"about":[19],"these":[20],"systems.":[21,77],"While":[22],"has":[24],"been":[25],"well":[26],"studied":[27],"in":[28,63],"scenarios":[29,110],"where":[30,111],"the":[31,36,47,79,118,140,156],"system":[32,158],"fully":[34],"observable,":[35],"conditions":[37],"remain":[40],"unexplored":[41],"when":[42],"latent":[43,82,122],"variables":[44,123],"interact":[45],"with":[46,117],"system.":[48],"This":[49],"paper":[50],"aims":[51],"to":[52,92,108],"address":[53],"this":[54,106],"gap":[55],"by":[56,125],"presenting":[57],"systematic":[59],"ODE":[65],"incorporating":[67],"hidden":[68,112],"confounders.":[69],"Specifically,":[70],"we":[71,104,150,179],"investigate":[72],"two":[73],"cases":[74],"such":[76,96],"In":[78],"first":[80,141],"case,":[81,142],"confounders":[83,113],"exhibit":[84,114],"no":[85],"relationships,":[87],"yet":[88],"their":[89],"evolution":[90],"adheres":[91],"specific":[93],"functional":[94],"forms,":[95],"as":[97],"polynomial":[98],"functions":[99],"time":[101],"$t$.":[102],"Subsequently,":[103],"extend":[105],"encompass":[109],"dependencies,":[116],"structure":[120],"described":[124],"Directed":[127],"Acyclic":[128],"Graph":[129],"(DAG).":[130],"second":[132,157],"case":[133],"represents":[134],"more":[136,145],"intricate":[137],"variation":[138],"prompting":[143],"comprehensive":[146],"analysis.":[148],"Accordingly,":[149],"conduct":[151],"detailed":[152],"analyses":[154],"under":[159],"various":[160],"observation":[161],"conditions,":[162],"including":[163],"both":[164],"continuous":[165],"and":[166,187],"discrete":[167],"observations":[168],"from":[169],"single":[170],"or":[171],"multiple":[172],"trajectories.":[173],"To":[174],"validate":[175],"our":[176,189],"theoretical":[177],"results,":[178],"perform":[180],"series":[182],"simulations,":[184],"which":[185],"support":[186],"substantiate":[188],"findings.":[190]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
