{"id":"https://openalex.org/W7214892286","doi":"https://doi.org/10.48550/arxiv.2609.37944","title":"Identifiability Guarantees for Drivers and Dynamics of Delayed Physical Systems","display_name":"Identifiability Guarantees for Drivers and Dynamics of Delayed Physical Systems","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214892286","doi":"https://doi.org/10.48550/arxiv.2609.37944"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37944","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37944","pdf_url":"https://arxiv.org/pdf/2609.37944","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37944","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139690692","display_name":"Julien Boussard","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]},{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Boussard, Julien","raw_affiliation_strings":["Mila -Quebec AI Institute , Canada","School of Computer Science , McGill University , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mila -Quebec AI Institute , Canada","institution_ids":["https://openalex.org/I4210164802"]},{"raw_affiliation_string":"School of Computer Science , McGill University , Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114619807","display_name":"Antoine Debouchage","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4387153769","display_name":"Laboratoire de Math\u00e9matiques et Mod\u00e9lisation d'\u00c9vry","ror":"https://ror.org/03jca6281","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I4210097372","https://openalex.org/I4387153769","https://openalex.org/I88467170"]},{"id":"https://openalex.org/I88467170","display_name":"Universit\u00e9 d'\u00c9vry Val-d'Essonne","ror":"https://ror.org/00e96v939","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Debouchage, Antoine","raw_affiliation_strings":["LaMMe , Universit\u00e9 \u00c9vry Paris-Saclay , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LaMMe , Universit\u00e9 \u00c9vry Paris-Saclay , France","institution_ids":["https://openalex.org/I4387153769","https://openalex.org/I88467170"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104435509","display_name":"Th\u00e9o Saulus","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]},{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Saulus, Th\u00e9o","raw_affiliation_strings":["DIRO , Universit\u00e9 de Montr\u00e9al , Canada","Mila -Quebec AI Institute , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DIRO , Universit\u00e9 de Montr\u00e9al , Canada","institution_ids":["https://openalex.org/I70931966"]},{"raw_affiliation_string":"Mila -Quebec AI Institute , Canada","institution_ids":["https://openalex.org/I4210164802"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.6718999743461609,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.6718999743461609,"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/T11236","display_name":"Control Systems and Identification","score":0.26759999990463257,"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/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.027499999850988388,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parameter-identifiability","display_name":"parameter identifiability","score":0.843999981880188},{"id":"https://openalex.org/keywords/delay-differential-equations","display_name":"delay differential equations","score":0.8420000076293945},{"id":"https://openalex.org/keywords/structural-dynamics","display_name":"structural dynamics","score":0.34700000286102295},{"id":"https://openalex.org/keywords/physical-consistency","display_name":"physical consistency","score":0.5410000085830688},{"id":"https://openalex.org/keywords/causal-discovery","display_name":"causal discovery","score":0.5009999871253967},{"id":"https://openalex.org/keywords/physics-informed-neural-networks","display_name":"physics-informed neural networks","score":0.8100000023841858},{"id":"https://openalex.org/keywords/symbolic-regression","display_name":"symbolic regression","score":0.7519999742507935}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8321999907493591},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.765500009059906},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6625000238418579},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6347000002861023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6200000047683716},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5737000107765198},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.5171999931335449},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.40549999475479126},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3862999975681305},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37070000171661377},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.36559998989105225},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.325300008058548},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.31540000438690186},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.28189998865127563},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2784999907016754},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.2712000012397766},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37944","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37944","pdf_url":"https://arxiv.org/pdf/2609.37944","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,"listed_in":[],"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":"doi:10.48550/arxiv.2609.37944","doi":"https://doi.org/10.48550/arxiv.2609.37944","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37944","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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37944","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37944","pdf_url":"https://arxiv.org/pdf/2609.37944","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,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309949","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214892286.pdf","grobid_xml":"https://content.openalex.org/works/W7214892286.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1473730842","https://openalex.org/W1494628843","https://openalex.org/W1575978816","https://openalex.org/W1579485993","https://openalex.org/W1607633954","https://openalex.org/W1668392187","https://openalex.org/W1966397236","https://openalex.org/W1985514943","https://openalex.org/W2007700189","https://openalex.org/W2020925091","https://openalex.org/W2046390050","https://openalex.org/W2059826328","https://openalex.org/W2083278075","https://openalex.org/W2094547532","https://openalex.org/W2096020040","https://openalex.org/W2100967164","https://openalex.org/W2126770432","https://openalex.org/W2127143993","https://openalex.org/W2239232218","https://openalex.org/W2766357476","https://openalex.org/W2908623803","https://openalex.org/W2969708557","https://openalex.org/W3046602060","https://openalex.org/W3122349497","https://openalex.org/W3133777397","https://openalex.org/W3174822621","https://openalex.org/W3213654397","https://openalex.org/W4390833865","https://openalex.org/W4403577906","https://openalex.org/W4416078624","https://openalex.org/W7133193843"],"related_works":["https://openalex.org/W7204018036","https://openalex.org/W7165988334","https://openalex.org/W2083656691","https://openalex.org/W4415295896","https://openalex.org/W7172280130","https://openalex.org/W2340945608","https://openalex.org/W4392539647","https://openalex.org/W4240241781","https://openalex.org/W1970892228","https://openalex.org/W2097931318"],"abstract_inverted_index":{"A":[0],"wide":[1],"range":[2],"of":[3,20,29,64,72,98],"methods":[4],"have":[5],"been":[6],"proposed,":[7],"including":[8],"physics-informed":[9],"neural":[10],"networks,":[11],"which":[12,25,35],"are":[13,77],"powerful":[14],"but":[15,39],"do":[16],"not":[17],"guarantee":[18],"identifiability":[19],"the":[21,67,99],"dynamics,":[22],"symbolic":[23],"regression,":[24],"requires":[26],"a":[27,55,62,84,91],"set":[28,63],"precomputed":[30],"operations,":[31],"and":[32,58,70,89],"causal":[33],"discovery,":[34],"is":[36],"more":[37],"principled":[38],"usually":[40],"relies":[41],"on":[42,83,90],"strong":[43],"assumptions":[44],"that":[45,60],"physical":[46,96],"systems":[47],"may":[48],"violate.":[49],"In":[50],"this":[51],"work,":[52],"we":[53],"develop":[54],"theory-grounded":[56],"method":[57,80],"prove":[59],"under":[61],"permissive":[65],"assumptions,":[66],"structural":[68],"drivers":[69],"drift":[71],"stochastic":[73],"delayed":[74],"differential":[75],"equations":[76],"identifiable.":[78],"Our":[79],"outperforms":[81],"others":[82],"benchmark":[85,93],"for":[86],"driver":[87],"identifiability,":[88],"second":[92],"to":[94],"evaluate":[95],"consistency":[97],"learned":[100],"dynamics.":[101]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}