{"id":"https://openalex.org/W2595337292","doi":"https://doi.org/10.1631/fitee.1601683","title":"Parameter estimation in exponential models by linear and nonlinear fitting methods","display_name":"Parameter estimation in exponential models by linear and nonlinear fitting methods","publication_year":2017,"publication_date":"2017-03-01","ids":{"openalex":"https://openalex.org/W2595337292","doi":"https://doi.org/10.1631/fitee.1601683","mag":"2595337292"},"language":"en","primary_location":{"id":"doi:10.1631/fitee.1601683","is_oa":false,"landing_page_url":"https://doi.org/10.1631/fitee.1601683","pdf_url":null,"source":{"id":"https://openalex.org/S4210189857","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"2095-9184","issn":["2095-9184","2095-9230"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Information Technology &amp; Electronic Engineering","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/A5101947336","display_name":"Ping Yang","orcid":"https://orcid.org/0000-0002-9249-0208"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ping Yang","raw_affiliation_strings":["School of Digital Media & Design, Hangzhou Dianzi University, Hangzhou, 310018, China"],"affiliations":[{"raw_affiliation_string":"School of Digital Media & Design, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051810023","display_name":"Chaopeng Wu","orcid":"https://orcid.org/0009-0000-3762-6443"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao-peng Wu","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079501401","display_name":"Yilu Guo","orcid":"https://orcid.org/0000-0002-5551-7053"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi-lu Guo","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007405169","display_name":"Hongbo Liu","orcid":"https://orcid.org/0000-0002-2540-9844"},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-bo Liu","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048851567","display_name":"Hui Huang","orcid":"https://orcid.org/0000-0003-1204-3684"},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Huang","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042965426","display_name":"Hangzhou Wang","orcid":"https://orcid.org/0000-0002-0683-1548"},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang-zhou Wang","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103173901","display_name":"Shuyue Zhan","orcid":"https://orcid.org/0000-0002-5961-2402"},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu-yue Zhan","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023897849","display_name":"Bangyi Tao","orcid":"https://orcid.org/0000-0001-5040-0983"},"institutions":[{"id":"https://openalex.org/I4210109544","display_name":"Second Institute of Oceanography","ror":"https://ror.org/01tkb7c15","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210109544"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bang-yi Tao","raw_affiliation_strings":["State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou, 310012, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou, 310012, China","institution_ids":["https://openalex.org/I4210109544"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002241201","display_name":"Quanquan Mu","orcid":"https://orcid.org/0000-0002-1510-5310"},"institutions":[{"id":"https://openalex.org/I4210088164","display_name":"Changchun Institute of Optics, Fine Mechanics and Physics","ror":"https://ror.org/012rct222","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210088164"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Quan-quan Mu","raw_affiliation_strings":["State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, 130033, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, 130033, China","institution_ids":["https://openalex.org/I4210088164","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367029","display_name":"Qiang Wang","orcid":"https://orcid.org/0000-0001-9875-7500"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Wang","raw_affiliation_strings":["School of Digital Media & Design, Hangzhou Dianzi University, Hangzhou, 310018, China"],"affiliations":[{"raw_affiliation_string":"School of Digital Media & Design, Hangzhou Dianzi University, Hangzhou, 310018, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100769852","display_name":"Hong Song","orcid":"https://orcid.org/0000-0002-1000-4764"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong Song","raw_affiliation_strings":["Ocean College, Zhejiang University, Zhoushan, 316021, China"],"affiliations":[{"raw_affiliation_string":"Ocean College, Zhejiang University, Zhoushan, 316021, China","institution_ids":["https://openalex.org/I31847773","https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":11,"corresponding_author_ids":["https://openalex.org/A5101947336"],"corresponding_institution_ids":["https://openalex.org/I50760025"],"apc_list":null,"apc_paid":null,"fwci":0.3528,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.67479065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"18","issue":"3","first_page":"434","last_page":"444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12697","display_name":"Water Quality Monitoring Technologies","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"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/T12697","display_name":"Water Quality Monitoring Technologies","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2312","display_name":"Water Science and Technology"},"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/T11698","display_name":"Underwater Acoustics Research","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14249","display_name":"Water Quality Monitoring and Analysis","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/2311","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7060244083404541},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6566044688224792},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5908274054527283},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5599770545959473},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5558673143386841},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5462543368339539},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5128100514411926},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46139785647392273},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4225851595401764},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4218848645687103},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3496019244194031},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3389948010444641},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2837550640106201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2606762647628784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23406848311424255},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08202049136161804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07900214195251465}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7060244083404541},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6566044688224792},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5908274054527283},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5599770545959473},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5558673143386841},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5462543368339539},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5128100514411926},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46139785647392273},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4225851595401764},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4218848645687103},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3496019244194031},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3389948010444641},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2837550640106201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2606762647628784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23406848311424255},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08202049136161804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07900214195251465},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1631/fitee.1601683","is_oa":false,"landing_page_url":"https://doi.org/10.1631/fitee.1601683","pdf_url":null,"source":{"id":"https://openalex.org/S4210189857","display_name":"Frontiers of Information Technology & Electronic Engineering","issn_l":"2095-9184","issn":["2095-9184","2095-9230"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers of Information Technology &amp; Electronic Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1482298744","https://openalex.org/W1492314380","https://openalex.org/W1543442430","https://openalex.org/W1595879724","https://openalex.org/W1966523582","https://openalex.org/W2003223885","https://openalex.org/W2044165456","https://openalex.org/W2081029895","https://openalex.org/W2082554835","https://openalex.org/W2085765714","https://openalex.org/W2087070363","https://openalex.org/W2099291917","https://openalex.org/W2135433669","https://openalex.org/W2145213600","https://openalex.org/W2197160605","https://openalex.org/W2256578114","https://openalex.org/W2269683194","https://openalex.org/W2281000252","https://openalex.org/W2297888491","https://openalex.org/W2375343425","https://openalex.org/W2418339671","https://openalex.org/W2493427051","https://openalex.org/W3145020342","https://openalex.org/W6792411458"],"related_works":["https://openalex.org/W4362710770","https://openalex.org/W2071941970","https://openalex.org/W1499618656","https://openalex.org/W1532853281","https://openalex.org/W2371479323","https://openalex.org/W3035238352","https://openalex.org/W2126324062","https://openalex.org/W2381897987","https://openalex.org/W2096761257","https://openalex.org/W2595337292"],"abstract_inverted_index":{"Estimation":[0],"of":[1,43,68,88,102,129],"unknown":[2,90],"parameters":[3,31,91],"in":[4,48,57,126],"exponential":[5],"models":[6],"by":[7,33,132],"linear":[8,35,70,80],"and":[9,21,71,92,119],"nonlinear":[10,72,95,134],"fitting":[11,36,73,104,135],"methods":[12,105],"is":[13,26,55,62,106,114],"discussed.":[14],"Based":[15],"on":[16],"the":[17,30,34,41,44,49,58,66,69,79,89,94,103,109,124,127,133],"extreme":[18],"value":[19],"theorem":[20],"Taylor":[22],"series":[23],"expansion,":[24],"it":[25],"proved":[27],"theoretically":[28],"that":[29,78,93],"estimated":[32,115],"method":[37,81,96],"alone":[38],"cannot":[39],"minimize":[40],"sum":[42],"squared":[45],"residual":[46],"errors":[47],"measurement":[50,53],"data":[51],"when":[52],"noise":[54],"involved":[56],"data.":[59],"Numerical":[60],"simulation":[61],"performed":[63],"to":[64],"compare":[65],"performance":[67],"methods.":[74],"Simulation":[75],"results":[76],"show":[77],"can":[82],"obtain":[83],"only":[84],"a":[85],"suboptimal":[86],"estimate":[87],"gives":[97],"more":[98],"accurate":[99],"results.":[100],"Application":[101],"demonstrated":[107],"where":[108],"water":[110],"spectral":[111],"attenuation":[112],"coefficient":[113],"from":[116],"underwater":[117],"images":[118],"imaging":[120],"distances,":[121],"which":[122],"supports":[123],"improvement":[125],"accuracy":[128],"parameter":[130],"estimation":[131],"method.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
