{"id":"https://openalex.org/W4297964751","doi":"https://doi.org/10.1109/tvcg.2022.3209437","title":"Constrained Dynamic Mode Decomposition","display_name":"Constrained Dynamic Mode Decomposition","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4297964751","doi":"https://doi.org/10.1109/tvcg.2022.3209437","pmid":"https://pubmed.ncbi.nlm.nih.gov/36170398"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2022.3209437","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvcg.2022.3209437","pdf_url":"https://ieeexplore.ieee.org/ielx7/2945/4359476/09904965.pdf","source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/2945/4359476/09904965.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040374842","display_name":"Tim Krake","orcid":"https://orcid.org/0009-0004-7084-3633"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tim Krake","raw_affiliation_strings":["University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062939867","display_name":"Daniel Kl\u00f6tzl","orcid":"https://orcid.org/0000-0002-4222-3320"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Klotzl","raw_affiliation_strings":["University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022425320","display_name":"Bernhard Eberhardt","orcid":"https://orcid.org/0000-0001-6428-4610"},"institutions":[{"id":"https://openalex.org/I1283220839","display_name":"Stuttgart Media University","ror":"https://ror.org/022r03w28","country_code":"DE","type":"education","lineage":["https://openalex.org/I1283220839"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernhard Eberhardt","raw_affiliation_strings":["Hochschule der Medien, Germany"],"affiliations":[{"raw_affiliation_string":"Hochschule der Medien, Germany","institution_ids":["https://openalex.org/I1283220839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073619125","display_name":"Daniel Weiskopf","orcid":"https://orcid.org/0000-0003-1174-1026"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Weiskopf","raw_affiliation_strings":["University of Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"University of Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040374842"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":2.4906,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89423273,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"29","issue":"1","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.984499990940094,"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"}},{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.8505066633224487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7308987975120544},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6495247483253479},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6352896094322205},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.46533268690109253},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.44845834374427795},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.42922189831733704},{"id":"https://openalex.org/keywords/data-visualization","display_name":"Data visualization","score":0.41993460059165955},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39830613136291504},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2998008131980896},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.27265483140945435},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.12039485573768616}],"concepts":[{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.8505066633224487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7308987975120544},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6495247483253479},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6352896094322205},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.46533268690109253},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.44845834374427795},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.42922189831733704},{"id":"https://openalex.org/C172367668","wikidata":"https://www.wikidata.org/wiki/Q6504956","display_name":"Data visualization","level":3,"score":0.41993460059165955},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39830613136291504},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2998008131980896},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.27265483140945435},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.12039485573768616},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2022.3209437","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvcg.2022.3209437","pdf_url":"https://ieeexplore.ieee.org/ielx7/2945/4359476/09904965.pdf","source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:36170398","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36170398","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null}],"best_oa_location":{"id":"doi:10.1109/tvcg.2022.3209437","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvcg.2022.3209437","pdf_url":"https://ieeexplore.ieee.org/ielx7/2945/4359476/09904965.pdf","source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1181036220","display_name":null,"funder_award_id":"51654672","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1616605873","display_name":null,"funder_award_id":"TRR 161","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4530576994","display_name":null,"funder_award_id":"270852890","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5106512922","display_name":null,"funder_award_id":"Deutsche Forschungsgemeinschaft (DFG","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6401459825","display_name":null,"funder_award_id":"251654672","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7682765093","display_name":null,"funder_award_id":"Project-ID 251654672","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297964751.pdf","grobid_xml":"https://content.openalex.org/works/W4297964751.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1549386224","https://openalex.org/W1575701986","https://openalex.org/W1576209423","https://openalex.org/W1723433682","https://openalex.org/W1953684276","https://openalex.org/W1963822838","https://openalex.org/W1976518098","https://openalex.org/W1992878451","https://openalex.org/W2009662901","https://openalex.org/W2013884425","https://openalex.org/W2014356541","https://openalex.org/W2040690030","https://openalex.org/W2066724685","https://openalex.org/W2078898317","https://openalex.org/W2097236039","https://openalex.org/W2105399656","https://openalex.org/W2111263072","https://openalex.org/W2127062614","https://openalex.org/W2147353820","https://openalex.org/W2168222921","https://openalex.org/W2280708764","https://openalex.org/W2300445845","https://openalex.org/W2318823087","https://openalex.org/W2395051244","https://openalex.org/W2399353195","https://openalex.org/W2405892775","https://openalex.org/W2466552579","https://openalex.org/W2583408446","https://openalex.org/W2613314665","https://openalex.org/W2809330745","https://openalex.org/W2904306684","https://openalex.org/W2904953812","https://openalex.org/W2905587373","https://openalex.org/W2939040230","https://openalex.org/W2945447901","https://openalex.org/W2959752065","https://openalex.org/W2981825520","https://openalex.org/W2986244508","https://openalex.org/W2997320470","https://openalex.org/W2998505465","https://openalex.org/W3006362898","https://openalex.org/W3033022890","https://openalex.org/W3099803807","https://openalex.org/W3113027085","https://openalex.org/W3176354740","https://openalex.org/W3194482401","https://openalex.org/W3208907594","https://openalex.org/W4213454721","https://openalex.org/W4238160257","https://openalex.org/W4297709905","https://openalex.org/W4301014558","https://openalex.org/W6695242017","https://openalex.org/W6802847111","https://openalex.org/W6944180162"],"related_works":["https://openalex.org/W4225274103","https://openalex.org/W2013728941","https://openalex.org/W2154046714","https://openalex.org/W2579659702","https://openalex.org/W2189613078","https://openalex.org/W1574055964","https://openalex.org/W2923661510","https://openalex.org/W3003759491","https://openalex.org/W2542318691","https://openalex.org/W2547096368"],"abstract_inverted_index":{"Frequency-based":[0],"decomposition":[1,15,55,75,174],"of":[2,13,98,129,154,165],"time":[3,155],"series":[4,156],"data":[5],"is":[6,48],"used":[7],"in":[8],"many":[9],"visualization":[10,151],"applications.":[11],"Most":[12],"these":[14],"methods":[16],"(such":[17],"as":[18],"Fourier":[19],"transform":[20],"or":[21],"singular":[22],"spectrum":[23],"analysis)":[24],"only":[25],"provide":[26],"interaction":[27],"via":[28],"pre-":[29],"and":[30,152,168],"post-processing,":[31],"but":[32],"no":[33],"means":[34],"to":[35,45,78,83,104,109,122,135,148,171],"influence":[36],"the":[37,88,105,110,127,163],"core":[38,140],"algorithm.":[39],"A":[40],"method":[41,56],"that":[42,57,76,100],"also":[43],"belongs":[44],"this":[46,64,139],"class":[47],"Dynamic":[49],"Mode":[50],"Decomposition":[51],"(DMD),":[52],"a":[53,117],"spectral":[54],"extracts":[58],"spatio-temporal":[59],"patterns":[60],"from":[61],"data.":[62,157],"In":[63],"paper,":[65],"we":[66,93,124,161],"incorporate":[67],"frequency-based":[68,173],"constraints":[69],"into":[70,87],"DMD":[71,99,147,167],"for":[72,145],"an":[73,95],"adaptive":[74],"leads":[77],"user-controllable":[79],"visualizations,":[80],"allowing":[81],"analysts":[82],"include":[84],"their":[85],"knowledge":[86],"process.":[89],"To":[90],"accomplish":[91],"this,":[92],"derive":[94],"equivalent":[96],"reformulation":[97],"implicitly":[101],"provides":[102],"access":[103],"eigenvalues":[106],"(and":[107],"therefore":[108],"frequencies)":[111],"identified":[112],"by":[113,132,142],"DMD.":[114,136],"By":[115],"utilizing":[116],"constrained":[118,146,166],"minimization":[119],"problem":[120],"customized":[121],"DMD,":[123],"can":[125],"guarantee":[126],"existence":[128],"desired":[130],"frequencies":[131],"minimal":[133],"changes":[134],"We":[137],"complement":[138],"approach":[141],"additional":[143],"techniques":[144],"facilitate":[149],"explorative":[150],"investigation":[153],"With":[158],"several":[159],"examples,":[160],"demonstrate":[162],"usefulness":[164],"compare":[169],"it":[170],"conventional":[172],"methods.":[175]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}