{"id":"https://openalex.org/W2516285675","doi":"https://doi.org/10.1007/s11554-016-0655-2","title":"Compressed dynamic mode decomposition for background modeling","display_name":"Compressed dynamic mode decomposition for background modeling","publication_year":2016,"publication_date":"2016-11-29","ids":{"openalex":"https://openalex.org/W2516285675","doi":"https://doi.org/10.1007/s11554-016-0655-2","mag":"2516285675"},"language":"en","primary_location":{"id":"doi:10.1007/s11554-016-0655-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11554-016-0655-2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11554-016-0655-2.pdf","source":{"id":"https://openalex.org/S11282291","display_name":"Journal of Real-Time Image Processing","issn_l":"1861-8200","issn":["1861-8200","1861-8219"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Real-Time Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs11554-016-0655-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"N. Benjamin Erichson","orcid":"https://orcid.org/0000-0003-0667-3516"},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"N. Benjamin Erichson","raw_affiliation_strings":["School of Mathematics and Statistics, University of St Andrews, St Andrews, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of St Andrews, St Andrews, United Kingdom","institution_ids":["https://openalex.org/I16835326"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Steven L. Brunton","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven L. Brunton","raw_affiliation_strings":["Department of Mechanical Engineering, University of Washington, Seattle, WA, 98195, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Washington, Seattle, WA, 98195, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":null,"display_name":"J. Nathan Kutz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138199","display_name":"University of Washington Applied Physics Laboratory","ror":"https://ror.org/03d17d270","country_code":"US","type":"facility","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210138199"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Nathan Kutz","raw_affiliation_strings":["Department of Applied Mathematics, University of Washington, Seattle, WA, 98195-2420, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Washington, Seattle, WA, 98195-2420, USA","institution_ids":["https://openalex.org/I4210138199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16835326"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":7.5796,"has_fulltext":true,"cited_by_count":101,"citation_normalized_percentile":{"value":0.97448558,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"16","issue":"5","first_page":"1479","last_page":"1492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.2741999924182892,"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"}},"topics":[{"id":"https://openalex.org/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.2741999924182892,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.13449999690055847,"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"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.08980000019073486,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6639000177383423},{"id":"https://openalex.org/keywords/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.6468999981880188},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5146999955177307},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.5011000037193298},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.45159998536109924},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4417000114917755},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4316999912261963},{"id":"https://openalex.org/keywords/compressed-sensing","display_name":"Compressed sensing","score":0.4027999937534332},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.3977000117301941},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.3837999999523163}],"concepts":[{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6639000177383423},{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.6468999981880188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6270999908447266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5299999713897705},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5146999955177307},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.5011000037193298},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4417000114917755},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4316999912261963},{"id":"https://openalex.org/C124851039","wikidata":"https://www.wikidata.org/wiki/Q2665459","display_name":"Compressed sensing","level":2,"score":0.4027999937534332},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.3977000117301941},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.3837999999523163},{"id":"https://openalex.org/C103275481","wikidata":"https://www.wikidata.org/wiki/Q6787889","display_name":"Matrix representation","level":3,"score":0.3675999939441681},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.3619999885559082},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.3531999886035919},{"id":"https://openalex.org/C2779851693","wikidata":"https://www.wikidata.org/wiki/Q183484","display_name":"Graphics processing unit","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C90199385","wikidata":"https://www.wikidata.org/wiki/Q6692777","display_name":"Low-rank approximation","level":3,"score":0.3264999985694885},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.31220000982284546},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.310699999332428},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.3091999888420105},{"id":"https://openalex.org/C2778192920","wikidata":"https://www.wikidata.org/wiki/Q16874989","display_name":"Signal compression","level":4,"score":0.29989999532699585},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.29420000314712524},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C180016635","wikidata":"https://www.wikidata.org/wiki/Q2712821","display_name":"Compression (physics)","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2842999994754791},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2840000092983246},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26260000467300415},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.25679999589920044},{"id":"https://openalex.org/C65483669","wikidata":"https://www.wikidata.org/wiki/Q3536669","display_name":"Video processing","level":2,"score":0.2542000114917755},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.25099998712539673}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11554-016-0655-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11554-016-0655-2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11554-016-0655-2.pdf","source":{"id":"https://openalex.org/S11282291","display_name":"Journal of Real-Time Image Processing","issn_l":"1861-8200","issn":["1861-8200","1861-8219"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Real-Time Image Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1512.04205","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.04205","pdf_url":"https://arxiv.org/pdf/1512.04205","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},{"id":"pmh:oai:osti.gov:1333753","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1333753","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:osti.gov:1799246","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1799246","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:research-repository.st-andrews.ac.uk:10023/9981","is_oa":true,"landing_page_url":"https://hdl.handle.net/10023/9981","pdf_url":null,"source":{"id":"https://openalex.org/S4306400230","display_name":"St Andrews Research Repository (St Andrews Research Repository)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16835326","host_organization_name":"University of St Andrews","host_organization_lineage":["https://openalex.org/I16835326"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal article"}],"best_oa_location":{"id":"doi:10.1007/s11554-016-0655-2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11554-016-0655-2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs11554-016-0655-2.pdf","source":{"id":"https://openalex.org/S11282291","display_name":"Journal of Real-Time Image Processing","issn_l":"1861-8200","issn":["1861-8200","1861-8219"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Real-Time Image Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1934935867","display_name":null,"funder_award_id":"Engineering and Physical Sciences R","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5226986101","display_name":null,"funder_award_id":"DE-EE0006785","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8628693919","display_name":"DTA - University of St Andrews","funder_award_id":"EP/L505079/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2516285675.pdf","grobid_xml":"https://content.openalex.org/works/W2516285675.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W964105995","https://openalex.org/W1513013675","https://openalex.org/W1573546770","https://openalex.org/W1874745161","https://openalex.org/W1988061476","https://openalex.org/W2010286849","https://openalex.org/W2014356541","https://openalex.org/W2037757210","https://openalex.org/W2047614366","https://openalex.org/W2071860582","https://openalex.org/W2080914886","https://openalex.org/W2088424151","https://openalex.org/W2091741383","https://openalex.org/W2100234160","https://openalex.org/W2104266187","https://openalex.org/W2117756735","https://openalex.org/W2119667497","https://openalex.org/W2127271355","https://openalex.org/W2145962650","https://openalex.org/W2151693816","https://openalex.org/W2164954534","https://openalex.org/W2190894170","https://openalex.org/W2234725626","https://openalex.org/W2341174028","https://openalex.org/W2405892775","https://openalex.org/W2963780177","https://openalex.org/W3112410551","https://openalex.org/W3138798301","https://openalex.org/W4213311204","https://openalex.org/W4234552385","https://openalex.org/W4244670803","https://openalex.org/W4248936881","https://openalex.org/W4250955649","https://openalex.org/W6605571479","https://openalex.org/W6631035194"],"related_works":[],"abstract_inverted_index":{"We":[0],"introduce":[1],"the":[2,25,49,64,73,77,82,86,90,93,100,104,118,121,129,146,150],"method":[3],"of":[4,24,52,59,72,85,92,99,120,149],"compressed":[5,42,69],"dynamic":[6,14],"mode":[7,15],"decomposition":[8,16,65],"(cDMD)":[9],"for":[10],"background":[11,105,123],"modeling.":[12],"The":[13,56],"is":[17,61,106,125,140],"a":[18,67,109],"regression":[19],"technique":[20],"that":[21,117],"integrates":[22],"two":[23],"leading":[26],"data":[27],"analysis":[28],"methods":[29],"in":[30],"use":[31],"today:":[32],"Fourier":[33],"transforms":[34],"and":[35,44,132],"singular":[36],"value":[37],"decomposition.":[38],"Borrowing":[39],"ideas":[40],"from":[41],"sensing":[43],"matrix":[45,70],"sketching,":[46],"cDMD":[47,60,78],"eases":[48],"computational":[50,147],"workload":[51],"high-resolution":[53],"video":[54,74,95],"processing.":[55],"key":[57],"principal":[58],"to":[62],"obtain":[63],"on":[66],"(small)":[68],"representation":[71],"feed.":[75],"Hence,":[76],"algorithm":[79],"scales":[80],"with":[81],"intrinsic":[83],"rank":[84],"matrix,":[87],"rather":[88],"than":[89],"size":[91],"actual":[94],"(data)":[96],"matrix.":[97],"Selection":[98],"optimal":[101],"modes":[102],"characterizing":[103],"formulated":[107],"as":[108],"sparsity-constrained":[110],"sparse":[111],"coding":[112],"problem.":[113],"Our":[114],"results":[115],"show":[116],"quality":[119],"resulting":[122],"model":[124],"competitive,":[126],"quantified":[127],"by":[128],"F-measure,":[130],"recall":[131],"precision.":[133],"A":[134],"graphics":[135],"processing":[136],"unit":[137],"accelerated":[138],"implementation":[139],"also":[141],"presented":[142],"which":[143],"further":[144],"boosts":[145],"performance":[148],"algorithm.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-09-16T00:00:00"}
