{"id":"https://openalex.org/W2097973133","doi":"https://doi.org/10.1162/089976604322742092","title":"Reply to the Comments on \u201cLocal Overfitting Control via Leverages\u201d in \u201cJacobian Conditioning Analysis for Model Validation\u201d by I. Rivals and L. Personnaz","display_name":"Reply to the Comments on \u201cLocal Overfitting Control via Leverages\u201d in \u201cJacobian Conditioning Analysis for Model Validation\u201d by I. Rivals and L. Personnaz","publication_year":2004,"publication_date":"2004-02-01","ids":{"openalex":"https://openalex.org/W2097973133","doi":"https://doi.org/10.1162/089976604322742092","mag":"2097973133","pmid":"https://pubmed.ncbi.nlm.nih.gov/15006103"},"language":"en","primary_location":{"id":"doi:10.1162/089976604322742092","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976604322742092","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"letter","indexed_in":["crossref","pubmed"],"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/A5035886890","display_name":"Yacine Oussar","orcid":"https://orcid.org/0000-0002-0448-5733"},"institutions":[{"id":"https://openalex.org/I98910050","display_name":"ESPCI Paris","ror":"https://ror.org/03zx86w41","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I98910050"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Yacine Oussar","raw_affiliation_strings":["ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,","institution_ids":["https://openalex.org/I98910050"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054702908","display_name":"Ga\u00e9tan Monari","orcid":null},"institutions":[{"id":"https://openalex.org/I98910050","display_name":"ESPCI Paris","ror":"https://ror.org/03zx86w41","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I98910050"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Ga\u00e9tan Monari","raw_affiliation_strings":["ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,","institution_ids":["https://openalex.org/I98910050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034139703","display_name":"G\u00e9rard Dreyfus","orcid":"https://orcid.org/0000-0001-7500-4573"},"institutions":[{"id":"https://openalex.org/I98910050","display_name":"ESPCI Paris","ror":"https://ror.org/03zx86w41","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I98910050"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G\u00e9rard Dreyfus","raw_affiliation_strings":["ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESPCI, Laboratoire d'Electronique, F-75005 Paris, France,","institution_ids":["https://openalex.org/I98910050"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034139703","https://openalex.org/A5035886890","https://openalex.org/A5054702908"],"corresponding_institution_ids":["https://openalex.org/I98910050"],"apc_list":null,"apc_paid":null,"fwci":1.755,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8689604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"2","first_page":"419","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9933000206947327,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9933000206947327,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9420999884605408,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9261999726295471,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/overfitting","display_name":"Overfitting","score":0.8985061049461365},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.789903998374939},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7631556987762451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5960192084312439},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.49339452385902405},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4908769726753235},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4821605086326599},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43794065713882446},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.39886048436164856},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3471691608428955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26100340485572815},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.23833096027374268},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2145915925502777},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.0847974419593811}],"concepts":[{"id":"https://openalex.org/C22019652","wikidata":"https://www.wikidata.org/wiki/Q331309","display_name":"Overfitting","level":3,"score":0.8985061049461365},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.789903998374939},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7631556987762451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5960192084312439},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.49339452385902405},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4908769726753235},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4821605086326599},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43794065713882446},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.39886048436164856},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3471691608428955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26100340485572815},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.23833096027374268},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2145915925502777},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0847974419593811},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1162/089976604322742092","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976604322742092","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:15006103","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15006103","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":"Neural computation","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1985286834","https://openalex.org/W1994567799","https://openalex.org/W2039852947","https://openalex.org/W2039858964","https://openalex.org/W2070779353","https://openalex.org/W2099852124","https://openalex.org/W2129832613","https://openalex.org/W2140664758","https://openalex.org/W2151550856","https://openalex.org/W2154679345","https://openalex.org/W2641675788","https://openalex.org/W2802431120","https://openalex.org/W3021691696","https://openalex.org/W4250340903"],"related_works":["https://openalex.org/W1574414179","https://openalex.org/W4362597605","https://openalex.org/W3009056573","https://openalex.org/W2922073769","https://openalex.org/W4297676672","https://openalex.org/W4281702477","https://openalex.org/W2349952486","https://openalex.org/W4378510483","https://openalex.org/W2490526372","https://openalex.org/W4376166922"],"abstract_inverted_index":{"\"Jacobian":[0],"Conditioning":[1],"Analysis":[2],"for":[3],"Model":[4],"Validation\"":[5],"by":[6,50,54],"Rivals":[7],"and":[8,18,37,40,73],"Personnaz":[9],"in":[10,33,42],"this":[11,22],"issue":[12],"is":[13],"a":[14],"comment":[15],"on":[16,62],"Monari":[17],"Dreyfus":[19],"(2002).":[20],"In":[21],"reply,":[23],"we":[24],"disprove":[25],"their":[26],"claims.":[27],"We":[28],"point":[29],"to":[30,38,81],"flawed":[31],"reasoning":[32],"the":[34,43,60,63,66,69,76],"theoretical":[35],"comments":[36,61],"errors":[39],"inconsistencies":[41],"numerical":[44],"examples.":[45],"Our":[46],"replies":[47],"are":[48,71],"substantiated":[49],"seven":[51],"counterexamples,":[52],"inspired":[53],"actual":[55],"data,":[56],"which":[57],"show":[58],"that":[59,74],"accuracy":[64],"of":[65,68],"computation":[67],"leverages":[70],"unsupported":[72],"following":[75],"approach":[77],"they":[78],"advocate":[79],"leads":[80],"discarding":[82],"valid":[83],"models":[84],"or":[85],"validating":[86],"overfitted":[87],"models.":[88]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}