{"id":"https://openalex.org/W3208684185","doi":"https://doi.org/10.1137/20m1350923","title":"Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation","display_name":"Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3208684185","doi":"https://doi.org/10.1137/20m1350923","mag":"3208684185"},"language":"en","primary_location":{"id":"doi:10.1137/20m1350923","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1350923","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101846915","display_name":"Aaron George","orcid":"https://orcid.org/0000-0001-6792-9058"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Erin George","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-6792-9058","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028993377","display_name":"Colleen Chan","orcid":"https://orcid.org/0000-0001-6323-5673"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Colleen E. Chan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018504489","display_name":"Gal Dimand","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gal Dimand","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053786048","display_name":"Ryan M. Chakmak","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryan M. Chakmak","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056452633","display_name":"Claudia Falcon","orcid":"https://orcid.org/0000-0001-6356-8216"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Claudia Falcon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087939515","display_name":"Daniel Eckhardt","orcid":"https://orcid.org/0000-0002-8172-0899"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Daniel Eckhardt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5050635455","display_name":"Robert Martin","orcid":"https://orcid.org/0000-0003-1727-9557"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Martin","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1727-9557","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3938,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61152078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"4","first_page":"2236","last_page":"2260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9951000213623047,"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/T10244","display_name":"Chaos control and synchronization","score":0.9951000213623047,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9790999889373779,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9621999859809875,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.7113014459609985},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6992620229721069},{"id":"https://openalex.org/keywords/shadow","display_name":"Shadow (psychology)","score":0.6765326857566833},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5806465148925781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5747397541999817},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5519374012947083},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4714523255825043},{"id":"https://openalex.org/keywords/invariant-manifold","display_name":"Invariant manifold","score":0.4623177647590637},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.42488616704940796},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4176003336906433},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3849782943725586},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.38072049617767334},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3739253878593445},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3470481336116791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3146034777164459},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.241580069065094},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14612779021263123},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.08569332957267761},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07802489399909973}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.7113014459609985},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6992620229721069},{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.6765326857566833},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5806465148925781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5747397541999817},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5519374012947083},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4714523255825043},{"id":"https://openalex.org/C20483540","wikidata":"https://www.wikidata.org/wiki/Q4200516","display_name":"Invariant manifold","level":2,"score":0.4623177647590637},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.42488616704940796},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4176003336906433},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3849782943725586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.38072049617767334},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3739253878593445},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3470481336116791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3146034777164459},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.241580069065094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14612779021263123},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.08569332957267761},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07802489399909973},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1350923","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1350923","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Applied Dynamical Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2930921307","display_name":null,"funder_award_id":"DMS-0931852","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G6570198819","display_name":null,"funder_award_id":"FA9550-20RQCOR098","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G991407398","display_name":null,"funder_award_id":"DGE-1650604","funder_id":"https://openalex.org/F4320337368","funder_display_name":"Division of Graduate Education"}],"funders":[{"id":"https://openalex.org/F4320337368","display_name":"Division of Graduate Education","ror":"https://ror.org/00whkrf32"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1965357685","https://openalex.org/W1974116894","https://openalex.org/W1975964493","https://openalex.org/W1976620978","https://openalex.org/W1998367480","https://openalex.org/W1999198553","https://openalex.org/W2010461070","https://openalex.org/W2014324598","https://openalex.org/W2018622258","https://openalex.org/W2030084176","https://openalex.org/W2031365860","https://openalex.org/W2040704490","https://openalex.org/W2044257293","https://openalex.org/W2056651346","https://openalex.org/W2069436097","https://openalex.org/W2083278075","https://openalex.org/W2083951084","https://openalex.org/W2087829358","https://openalex.org/W2088667464","https://openalex.org/W2089245375","https://openalex.org/W2132427836","https://openalex.org/W2149261709","https://openalex.org/W2798093494","https://openalex.org/W2917768729","https://openalex.org/W3115111999"],"related_works":["https://openalex.org/W2230606337","https://openalex.org/W3217574331","https://openalex.org/W4250831671","https://openalex.org/W2032227660","https://openalex.org/W1980855435","https://openalex.org/W2529467364","https://openalex.org/W2139555684","https://openalex.org/W2950257836","https://openalex.org/W2089869689","https://openalex.org/W2006002535"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"7":[17],"July":[18,21],"2020Accepted:":[19],"16":[20],"2021Published":[22],"online:":[23],"28":[24],"October":[25],"2021Keywordssignal":[26],"decomposition,":[27],"dynamical":[28],"systems,":[29],"manifold":[30],"reconstruction,":[31],"chaotic":[32],"signals,":[33],"shadow":[34],"manifoldsAMS":[35],"Subject":[36],"Headings37M10,":[37],"94A12Publication":[38],"DataISSN":[39],"(online):":[40],"1536-0040Publisher:":[41],"Society":[42],"for":[43],"Industrial":[44],"and":[45],"Applied":[46],"MathematicsCODEN:":[47],"sjaday":[48]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
