{"id":"https://openalex.org/W4389311747","doi":"https://doi.org/10.1137/22m1520311","title":"Identifiability in Continuous Lyapunov Models","display_name":"Identifiability in Continuous Lyapunov Models","publication_year":2023,"publication_date":"2023-12-04","ids":{"openalex":"https://openalex.org/W4389311747","doi":"https://doi.org/10.1137/22m1520311"},"language":"en","primary_location":{"id":"doi:10.1137/22m1520311","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1520311","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://researchprofiles.ku.dk/da/publications/0b2de65a-2c09-42fa-8363-78a3908ad0c2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057746644","display_name":"Philipp Dettling","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Philipp Dettling","raw_affiliation_strings":["TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073728821","display_name":"Roser Homs","orcid":"https://orcid.org/0000-0002-6207-158X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roser Homs","raw_affiliation_strings":["TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090113681","display_name":"Carlos Am\u00e9ndola","orcid":"https://orcid.org/0000-0003-1945-8874"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Carlos Am\u00e9ndola","raw_affiliation_strings":["Institute of Mathematics, Technical University of Berlin, 10623 Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Technical University of Berlin, 10623 Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037160280","display_name":"Mathias Drton","orcid":"https://orcid.org/0000-0001-5614-3025"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mathias Drton","raw_affiliation_strings":["Munich Data Science Institute, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany","TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Munich Data Science Institute, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"TUM School of Computation, Information and Technology, and Department of Mathematics, Technical University of Munich, 85748 Garching bei M\u00fcnchen, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082624229","display_name":"Niels Richard Hansen","orcid":"https://orcid.org/0000-0003-3883-365X"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Niels Richard Hansen","raw_affiliation_strings":["Department of Mathematical Sciences, University of Copenhagen, Copenhagen 2100, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Copenhagen, Copenhagen 2100, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057746644"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4771,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68558194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"44","issue":"4","first_page":"1799","last_page":"1821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9789999723434448,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9757999777793884,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/identifiability","display_name":"Identifiability","score":0.8726783990859985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6824707984924316},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5332376956939697},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5112812519073486},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.48049938678741455},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4606606364250183},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45577219128608704},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4157645106315613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40627455711364746},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3404620885848999},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1790623664855957},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0741044282913208}],"concepts":[{"id":"https://openalex.org/C122770356","wikidata":"https://www.wikidata.org/wiki/Q1656753","display_name":"Identifiability","level":2,"score":0.8726783990859985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6824707984924316},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5332376956939697},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5112812519073486},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.48049938678741455},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4606606364250183},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45577219128608704},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4157645106315613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40627455711364746},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3404620885848999},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1790623664855957},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0741044282913208},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1520311","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1520311","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1729673","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1729673","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/0b2de65a-2c09-42fa-8363-78a3908ad0c2","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/0b2de65a-2c09-42fa-8363-78a3908ad0c2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dettling , P , Homs , R , Amendola , C , Drton , M & Hansen , N R 2023 , ' Identifiability in Continuous Lyapunov Models ' , SIAM Journal on Matrix Analysis and Applications , vol. 44 , no. 4 , pp. 1799-1821 . https://doi.org/10.1137/22M1520311","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/0b2de65a-2c09-42fa-8363-78a3908ad0c2","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/0b2de65a-2c09-42fa-8363-78a3908ad0c2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Dettling , P , Homs , R , Amendola , C , Drton , M & Hansen , N R 2023 , ' Identifiability in Continuous Lyapunov Models ' , SIAM Journal on Matrix Analysis and Applications , vol. 44 , no. 4 , pp. 1799-1821 . https://doi.org/10.1137/22M1520311","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8674586986","display_name":null,"funder_award_id":"883818","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W316798226","https://openalex.org/W1488435683","https://openalex.org/W1965037262","https://openalex.org/W2073307618","https://openalex.org/W2077632385","https://openalex.org/W2082373165","https://openalex.org/W2124852332","https://openalex.org/W2143891888","https://openalex.org/W2201599271","https://openalex.org/W2579294630","https://openalex.org/W2809492091","https://openalex.org/W2903807795","https://openalex.org/W2990138404","https://openalex.org/W3010831251","https://openalex.org/W3098606038","https://openalex.org/W4240788980","https://openalex.org/W4256619042","https://openalex.org/W4302423442"],"related_works":["https://openalex.org/W2724847603","https://openalex.org/W2034041141","https://openalex.org/W2184661725","https://openalex.org/W2573470972","https://openalex.org/W112856298","https://openalex.org/W2105626102","https://openalex.org/W2023017666","https://openalex.org/W2886934452","https://openalex.org/W1489099099","https://openalex.org/W2024369332"],"abstract_inverted_index":{"The":[0,18,35],"recently":[1],"introduced":[2],"graphical":[3],"continuous":[4,46],"Lyapunov":[5,47],"models":[6,19,65],"provide":[7,154],"a":[8,24,29,45,77,83,147,155],"new":[9],"approach":[10],"to":[11,80,89,163],"statistical":[12,64],"modeling":[13],"of":[14,28,56,100,158],"correlated":[15],"multivariate":[16,30],"data.":[17,102],"view":[20],"each":[21],"observation":[22],"as":[23],"one-time":[25],"cross-sectional":[26],"snapshot":[27],"dynamic":[31,58],"process":[32],"in":[33,70],"equilibrium.":[34],"covariance":[36,98],"matrix":[37,55,94,99,122],"for":[38,132,150],"the":[39,53,57,71,92,97,101,120,130,133],"data":[40],"is":[41,50,123,136],"obtained":[42],"by":[43,52,108,112],"solving":[44],"equation":[48],"that":[49,119],"parametrized":[51],"drift":[54,72,93,121],"process.":[59],"In":[60],"this":[61,105],"context,":[62],"different":[63,67],"postulate":[66],"sparsity":[68,85,110,134],"patterns":[69,111],"matrix,":[73],"and":[74,127,153],"it":[75],"becomes":[76],"crucial":[78],"problem":[79,107],"clarify":[81],"whether":[82],"given":[84],"assumption":[86],"allows":[87],"one":[88],"uniquely":[90],"recover":[91],"parameters":[95],"from":[96],"We":[103],"study":[104],"identifiability":[106,152],"representing":[109],"directed":[113,142],"graphs.":[114],"Our":[115],"main":[116],"result":[117],"proves":[118],"globally":[124],"identifiable":[125],"if":[126,129],"only":[128],"graph":[131],"pattern":[135],"simple":[137],"(i.e.,":[138],"does":[139],"not":[140],"contain":[141],"2-cycles).":[143],"Moreover,":[144],"we":[145],"present":[146],"necessary":[148],"condition":[149],"generic":[151],"computational":[156],"classification":[157],"small":[159],"graphs":[160],"with":[161],"up":[162],"5":[164],"nodes.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
