{"id":"https://openalex.org/W7166376364","doi":"https://doi.org/10.1016/j.cnsns.2026.110464","title":"Data-driven reconstruction and characterization of stochastic dynamics via dynamical mode decomposition","display_name":"Data-driven reconstruction and characterization of stochastic dynamics via dynamical mode decomposition","publication_year":2026,"publication_date":"2026-06-27","ids":{"openalex":"https://openalex.org/W7166376364","doi":"https://doi.org/10.1016/j.cnsns.2026.110464"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110464","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110464","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cnsns.2026.110464","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081192123","display_name":"Adva Baratz","orcid":"https://orcid.org/0000-0002-5404-3335"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Adva Baratz","raw_affiliation_strings":["Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, 7610001, Israel","Institute of Artificial Intelligence, Weizmann Institute of Science, Rehovot, 7610001, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, 7610001, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"Institute of Artificial Intelligence, Weizmann Institute of Science, Rehovot, 7610001, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026710988","display_name":"Loris Maria Cangemi","orcid":"https://orcid.org/0000-0002-6827-6420"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Loris Maria Cangemi","raw_affiliation_strings":["Department of Electrical Engineering and Information Technology, Universit\u00e0 degli Studi di Napoli Federico II, via Claudio 21, Napoli, 80125, Italy"],"raw_orcid":"https://orcid.org/0000-0002-6827-6420","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Information Technology, Universit\u00e0 degli Studi di Napoli Federico II, via Claudio 21, Napoli, 80125, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041244144","display_name":"Assaf Hamo","orcid":"https://orcid.org/0000-0002-9125-9450"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Assaf Hamo","raw_affiliation_strings":["Department of Physics, Bar-Ilan University, Ramat-Gan, 52900, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Bar-Ilan University, Ramat-Gan, 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129817180","display_name":"Sivan Refaely-Abramson","orcid":null},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Sivan Refaely-Abramson","raw_affiliation_strings":["Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, 7610001, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot, 7610001, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083702273","display_name":"Amikam Levy","orcid":"https://orcid.org/0000-0003-2643-9620"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Amikam Levy","raw_affiliation_strings":["Center for Quantum Entanglement Science and Technology, Bar-Ilan University, Ramat-Gan, 52900, Israel","Department of Chemistry, Bar-Ilan University, Ramat-Gan, 52900, Israel","Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan, 52900, Israel"],"raw_orcid":"https://orcid.org/0000-0003-2643-9620","affiliations":[{"raw_affiliation_string":"Center for Quantum Entanglement Science and Technology, Bar-Ilan University, Ramat-Gan, 52900, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Department of Chemistry, Bar-Ilan University, Ramat-Gan, 52900, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan, 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081192123","https://openalex.org/A5083702273"],"corresponding_institution_ids":["https://openalex.org/I13955877","https://openalex.org/I53964585"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":{"value":3710,"currency":"USD","value_usd":3710},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.64950911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"163","issue":null,"first_page":"110464","last_page":"110464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9535999894142151,"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":0.9535999894142151,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.004000000189989805,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.5200999975204468},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5098999738693237},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.475600004196167},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.43689998984336853},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4291999936103821},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.3427000045776367}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5485000014305115},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.5200999975204468},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5098999738693237},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.475600004196167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4388999938964844},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4291999936103821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41029998660087585},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.3427000045776367},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3305000066757202},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.28130000829696655},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.27320000529289246}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110464","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110464","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2507.05797","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2507.05797","pdf_url":"https://arxiv.org/pdf/2507.05797","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"}],"best_oa_location":{"id":"doi:10.1016/j.cnsns.2026.110464","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110464","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5247047692","display_name":null,"funder_award_id":"702/22","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5358593216","display_name":null,"funder_award_id":"3105/23","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5617065420","display_name":null,"funder_award_id":"1364/21","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5762378139","display_name":null,"funder_award_id":"700/22","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F6916241136","display_name":"Islamic Scholarship Fund","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1596845954","https://openalex.org/W1723433682","https://openalex.org/W1860903952","https://openalex.org/W1972273302","https://openalex.org/W1973411962","https://openalex.org/W1992629111","https://openalex.org/W1994905225","https://openalex.org/W2002543616","https://openalex.org/W2007230191","https://openalex.org/W2014356541","https://openalex.org/W2026469894","https://openalex.org/W2029362672","https://openalex.org/W2042658282","https://openalex.org/W2050623533","https://openalex.org/W2051163841","https://openalex.org/W2064675550","https://openalex.org/W2066185646","https://openalex.org/W2078898317","https://openalex.org/W2106822551","https://openalex.org/W2107878631","https://openalex.org/W2110485445","https://openalex.org/W2111079473","https://openalex.org/W2126462093","https://openalex.org/W2164954534","https://openalex.org/W2170054433","https://openalex.org/W2310671108","https://openalex.org/W2792315573","https://openalex.org/W2884868878","https://openalex.org/W2919115771","https://openalex.org/W2952365845","https://openalex.org/W3023751135","https://openalex.org/W3203014670","https://openalex.org/W4200337039","https://openalex.org/W4205492891","https://openalex.org/W4313462484","https://openalex.org/W4392453999","https://openalex.org/W4403225521","https://openalex.org/W4404580223","https://openalex.org/W4406761124"],"related_works":[],"abstract_inverted_index":{"Noise":[0],"fundamentally":[1],"limits":[2],"the":[3,48,110,114,165,173],"performance":[4],"and":[5,10,17,35,43,52,61,124,164,192,195,209],"predictive":[6,193,210],"capabilities":[7,194],"of":[8,96,109,116,136,175,180,212],"classical":[9],"quantum":[11,181],"dynamical":[12,20],"systems":[13],"by":[14],"degrading":[15],"stability":[16],"obscuring":[18],"intrinsic":[19,137],"characteristics.":[21],"Characterizing":[22],"such":[23],"noise":[24,129,167],"accurately":[25],"is":[26],"essential":[27],"for":[28,207],"enhancing":[29],"measurement":[30],"precision,":[31],"understanding":[32],"environmental":[33],"interactions,":[34],"designing":[36],"effective":[37],"control":[38],"strategies":[39],"across":[40],"diverse":[41],"scientific":[42],"engineering":[44],"domains.":[45],"However,":[46],"extracting":[47],"environment":[49],"spectral":[50,107,169],"features":[51],"associated":[53],"characteristic":[54,138],"decay":[55,139,159],"or":[56],"coherence":[57],"times":[58,140,160],"from":[59,141,187,215],"limited":[60],"noisy":[62,217],"datasets":[63],"remains":[64],"challenging.":[65],"Here,":[66],"we":[67,151],"introduce":[68],"a":[69,101,105,153,204],"general,":[70],"data-driven":[71],"framework":[72,206],"based":[73],"on":[74],"Dynamical":[75],"Mode":[76],"Decomposition":[77],"(DMD)":[78],"to":[79,185],"analyze":[80],"system":[81,182],"dynamics":[82,183],"under":[83],"stochastic":[84,97,213],"noise.":[85,111],"We":[86,171],"reinterpret":[87],"DMD":[88,142],"modes":[89],"as":[90,131,133,161,168],"statistical":[91],"weights":[92],"over":[93],"an":[94],"ensemble":[95],"trajectories":[98],"and,":[99],"via":[100],"nonlinear":[102],"mapping,":[103],"construct":[104],"PSD-like":[106],"fingerprint":[108],"This":[112,201],"enables":[113],"identification":[115],"dominant":[117],"frequency":[118],"contributions":[119],"in":[120,147],"both":[121],"broadband":[122],"(white)":[123],"correlated":[125],"(1/":[126],"f":[127],")":[128],"environments,":[130],"well":[132],"direct":[134],"extraction":[135],"eigenvalues.":[143],"To":[144],"overcome":[145],"instability":[146],"standard":[148,199],"DMD-based":[149],"extrapolation,":[150],"develop":[152],"constrained":[154],"reconstruction":[155],"method":[156],"using":[157],"extracted":[158],"physical":[162],"bounds":[163],"learned":[166],"weights.":[170],"demonstrate":[172],"effectiveness":[174],"this":[176],"approach":[177],"through":[178],"simulations":[179],"subject":[184],"decoherence":[186],"noise,":[188],"demonstrating":[189],"its":[190],"robustness":[191],"comparing":[196],"it":[197],"with":[198],"methods.":[200],"methodology":[202],"provides":[203],"trajectory-level":[205],"diagnostic":[208],"analysis":[211],"processes":[214],"limited,":[216],"time-series":[218],"data.":[219]},"counts_by_year":[],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2026-06-28T00:00:00"}
