{"id":"https://openalex.org/W2478695829","doi":"https://doi.org/10.1109/acc.2016.7526660","title":"Nonlinear reduced order source identification","display_name":"Nonlinear reduced order source identification","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2478695829","doi":"https://doi.org/10.1109/acc.2016.7526660","mag":"2478695829"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7526660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-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/A5025143038","display_name":"Reza Khodayi-mehr","orcid":"https://orcid.org/0000-0002-1971-2898"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Reza Khodayi-mehr","raw_affiliation_strings":["Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067331647","display_name":"Wilkins Aquino","orcid":"https://orcid.org/0000-0001-6478-472X"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wilkins Aquino","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Duke University, Durham, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080808780","display_name":"Michael M. Zavlanos","orcid":"https://orcid.org/0000-0003-1748-8228"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael M. Zavlanos","raw_affiliation_strings":["Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025143038"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":null,"apc_paid":null,"fwci":1.1939,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78225024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":null,"first_page":"6302","last_page":"6307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9944999814033508,"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/T11220","display_name":"Water Systems and Optimization","score":0.9912999868392944,"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/hessian-matrix","display_name":"Hessian matrix","score":0.6724827289581299},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5866895914077759},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5611375570297241},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5504178404808044},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.5223525762557983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46034884452819824},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.455101877450943},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4494844377040863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4264228343963623},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42484864592552185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41236838698387146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32569438219070435},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12499180436134338}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.6724827289581299},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5866895914077759},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5611375570297241},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5504178404808044},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.5223525762557983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46034884452819824},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.455101877450943},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4494844377040863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4264228343963623},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42484864592552185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41236838698387146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32569438219070435},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12499180436134338},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2016.7526660","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7526660","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.41999998688697815,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W614384996","https://openalex.org/W1516519565","https://openalex.org/W1551480811","https://openalex.org/W1564604691","https://openalex.org/W1719686946","https://openalex.org/W2014889972","https://openalex.org/W2019680819","https://openalex.org/W2054989396","https://openalex.org/W2114712712","https://openalex.org/W2121713565","https://openalex.org/W2123811769","https://openalex.org/W2131617404","https://openalex.org/W2132698126","https://openalex.org/W2159615879","https://openalex.org/W2189261967","https://openalex.org/W2333762578","https://openalex.org/W2502336522","https://openalex.org/W2788387968","https://openalex.org/W3029645440","https://openalex.org/W4285719527","https://openalex.org/W4301909677","https://openalex.org/W6748526370"],"related_works":["https://openalex.org/W2611031068","https://openalex.org/W1704347466","https://openalex.org/W4283017538","https://openalex.org/W1996936972","https://openalex.org/W1545275724","https://openalex.org/W4312761904","https://openalex.org/W2015858121","https://openalex.org/W2281693250","https://openalex.org/W2275184629","https://openalex.org/W1970166503"],"abstract_inverted_index":{"In":[0],"this":[1,52],"paper":[2],"we":[3,54,80,122,162],"propose":[4],"a":[5,20,47,61,104,114,152],"novel":[6],"approach":[7],"to":[8,41,92,103,113,139,165],"the":[9,27,38,43,70,75,82,94,97,127,142,159],"problem":[10,28,32,53,98],"of":[11,22,51,64,96,101,106],"model-based":[12],"source":[13,83,144],"identification":[14],"in":[15,33,73,155,170],"steady-state":[16],"transport":[17],"phenomena":[18],"given":[19],"set":[21],"noisy":[23],"measurements.":[24],"We":[25,146],"formulate":[26],"as":[29],"an":[30],"optimization":[31,118,137],"function":[34,71,77,84],"space":[35,72],"and":[36,129],"utilize":[37],"adjoint":[39],"method":[40],"calculate":[42],"gradient.":[44],"To":[45],"obtain":[46],"finite":[48],"dimensional":[49,116],"representation":[50],"employ":[55],"proper":[56],"orthogonal":[57],"decomposition,":[58],"which":[59,74,89,121],"provides":[60],"small":[62],"number":[63],"basis":[65],"functions":[66],"that":[67,131,150],"best":[68],"approximate":[69],"concentration":[76],"lives.":[78],"Similarly,":[79],"parametrize":[81],"by":[85],"nonlinear":[86,117],"tower":[87],"functions,":[88],"allow":[90],"us":[91],"reduce":[93],"size":[95],"from":[99],"thousands":[100],"unknowns":[102],"handful":[105],"variables.":[107],"The":[108],"above":[109],"approximations":[110],"give":[111],"rise":[112],"low":[115],"problem,":[119],"for":[120,126,141],"provide":[123,147],"explicit":[124],"expressions":[125],"gradient":[128],"Hessian":[130],"can":[132],"be":[133],"used":[134],"with":[135],"available":[136],"techniques":[138],"solve":[140,166],"desired":[143],"function.":[145],"simulation":[148],"results":[149],"demonstrate":[151],"drastic":[153],"reduction":[154],"computation":[156],"time.":[157],"At":[158],"same":[160],"time":[161],"are":[163],"able":[164],"complex":[167],"advection-diffusion":[168],"problems":[169],"non-convex":[171],"environments.":[172]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
