{"id":"https://openalex.org/W4281480627","doi":"https://doi.org/10.3390/a15060179","title":"Bounded-Error Parameter Estimation Using Integro-Differential Equations for Hindmarsh\u2013Rose Model","display_name":"Bounded-Error Parameter Estimation Using Integro-Differential Equations for Hindmarsh\u2013Rose Model","publication_year":2022,"publication_date":"2022-05-24","ids":{"openalex":"https://openalex.org/W4281480627","doi":"https://doi.org/10.3390/a15060179"},"language":"en","primary_location":{"id":"doi:10.3390/a15060179","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15060179","pdf_url":"https://www.mdpi.com/1999-4893/15/6/179/pdf?version=1653552618","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/15/6/179/pdf?version=1653552618","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067901283","display_name":"Carine Jauberthie","orcid":"https://orcid.org/0000-0002-8481-8840"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Carine Jauberthie","raw_affiliation_strings":["LAAS-CNRS, Universit\u00e9 de Toulouse, CNRS, UPS, 7 Avenue du Colonel Roche, 31400 Toulouse, France"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, Universit\u00e9 de Toulouse, CNRS, UPS, 7 Avenue du Colonel Roche, 31400 Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I1294671590","https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038751393","display_name":"Nathalie Verdi\u00e8re","orcid":"https://orcid.org/0000-0002-7596-0941"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4392021130","display_name":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es du Havre","ror":"https://ror.org/017vnhv07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4392021130"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nathalie Verdi\u00e8re","raw_affiliation_strings":["LMAH, University of Normandie, UNIHAVRE, FR-CNRS-3335, ISCN, 76600 Le Havre, France"],"affiliations":[{"raw_affiliation_string":"LMAH, University of Normandie, UNIHAVRE, FR-CNRS-3335, ISCN, 76600 Le Havre, France","institution_ids":["https://openalex.org/I4392021130","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067901283"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I190497903"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4868,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.599637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"15","issue":"6","first_page":"179","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8063309192657471},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7081683874130249},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6550649404525757},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.581786036491394},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5455829501152039},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5224084854125977},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.45022931694984436},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4157811999320984},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.331784188747406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2865648865699768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2713210880756378}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8063309192657471},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7081683874130249},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6550649404525757},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.581786036491394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5455829501152039},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5224084854125977},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.45022931694984436},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4157811999320984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.331784188747406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2865648865699768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2713210880756378},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/a15060179","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15060179","pdf_url":"https://www.mdpi.com/1999-4893/15/6/179/pdf?version=1653552618","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03685775v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03685775","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, 2022, 15 (6), pp.179. &#x27E8;10.3390/a15060179&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:7abfa6a7ad004733a304ee91388bc454","is_oa":true,"landing_page_url":"https://doaj.org/article/7abfa6a7ad004733a304ee91388bc454","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 15, Iss 6, p 179 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/15/6/179/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a15060179","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 15; Issue 6; Pages: 179","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a15060179","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a15060179","pdf_url":"https://www.mdpi.com/1999-4893/15/6/179/pdf?version=1653552618","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281480627.pdf","grobid_xml":"https://content.openalex.org/works/W4281480627.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W166466754","https://openalex.org/W367204101","https://openalex.org/W1495754055","https://openalex.org/W1576838367","https://openalex.org/W1968010465","https://openalex.org/W1985940938","https://openalex.org/W1988535797","https://openalex.org/W1998988481","https://openalex.org/W2034801704","https://openalex.org/W2042316744","https://openalex.org/W2060336128","https://openalex.org/W2163057446","https://openalex.org/W2331837875","https://openalex.org/W2527114087","https://openalex.org/W2573470972","https://openalex.org/W2614360042","https://openalex.org/W2800843802","https://openalex.org/W2903049036","https://openalex.org/W3022116220","https://openalex.org/W3046260533","https://openalex.org/W4212920755","https://openalex.org/W4298255709","https://openalex.org/W6677586787"],"related_works":["https://openalex.org/W2315570462","https://openalex.org/W4294364856","https://openalex.org/W2164522043","https://openalex.org/W2299552569","https://openalex.org/W4361796174","https://openalex.org/W2529017546","https://openalex.org/W4311946102","https://openalex.org/W2964287305","https://openalex.org/W4383216082","https://openalex.org/W2102369687"],"abstract_inverted_index":{"A":[0],"numerical":[1,62],"parameter":[2],"estimation":[3],"method,":[4,37],"based":[5,38],"on":[6,39,84,111],"input-output":[7],"integro-differential":[8],"polynomials":[9],"in":[10,16,74],"a":[11,64],"bounded-error":[12],"framework":[13],"is":[14,44,70,115],"investigated":[15],"this":[17,36],"paper.":[18],"More":[19],"precisely,":[20],"the":[21,31,40,61,67,85,90,101,104,107,112],"measurement":[22,98,108],"noise":[23,109],"and":[24,72],"parameters":[25],"belong":[26],"to":[27,59,97],"connected":[28],"sets":[29],"(in":[30],"proposed":[32],"work,":[33],"intervals).":[34],"First,":[35],"Rosenfeld\u2013Groebner":[41],"elimination":[42],"algorithm,":[43],"presented.":[45],"The":[46,76],"latter":[47],"provides":[48],"differential":[49,68],"equations":[50],"containing":[51],"derivatives,":[52],"sometimes":[53],"of":[54,66,103,106],"high":[55],"order.":[56],"In":[57,87],"order":[58],"improve":[60],"results,":[63],"pretreatment":[65],"relations":[69,78],"done":[71],"consists":[73],"integration.":[75],"new":[77],"contain,":[79],"essentially,":[80],"integrals":[81],"depending":[82],"only":[83],"outputs.":[86],"comparison":[88],"with":[89],"initial":[91],"relations,":[92],"they":[93],"are":[94],"less":[95],"sensitive":[96],"noise.":[99],"Finally,":[100],"impact":[102],"size":[105],"domain":[110],"estimated":[113],"intervals":[114],"studied.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-05-26T00:00:00"}
