{"id":"https://openalex.org/W4399711037","doi":"https://doi.org/10.23919/ecc64448.2024.10590954","title":"A Weighted Linearization Approach to Gradient Descent Optimization","display_name":"A Weighted Linearization Approach to Gradient Descent Optimization","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4399711037","doi":"https://doi.org/10.23919/ecc64448.2024.10590954"},"language":"en","primary_location":{"id":"doi:10.23919/ecc64448.2024.10590954","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/ecc64448.2024.10590954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","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/A5087236557","display_name":"Damiano Rotondo","orcid":"https://orcid.org/0000-0002-8855-5582"},"institutions":[{"id":"https://openalex.org/I92008406","display_name":"University of Stavanger","ror":"https://ror.org/02qte9q33","country_code":"NO","type":"education","lineage":["https://openalex.org/I92008406"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Damiano Rotondo","raw_affiliation_strings":["University of Stavanger,Department of Electrical and Computer Engineering (IDE),Stavanger,Norway"],"affiliations":[{"raw_affiliation_string":"University of Stavanger,Department of Electrical and Computer Engineering (IDE),Stavanger,Norway","institution_ids":["https://openalex.org/I92008406"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003606353","display_name":"Mayank Jha","orcid":"https://orcid.org/0000-0002-6926-1386"},"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/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mayank Shekhar Jha","raw_affiliation_strings":["Universit&#x00E9; de Lor-raine,CRAN, UMR 7039, CNRS,Vandoeuvre-l&#x00E8;s-Nancy Cedex,France,54506"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; de Lor-raine,CRAN, UMR 7039, CNRS,Vandoeuvre-l&#x00E8;s-Nancy Cedex,France,54506","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087236557"],"corresponding_institution_ids":["https://openalex.org/I92008406"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08214251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3606","last_page":"3611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.37400001287460327,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.37400001287460327,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/gradient-descent","display_name":"Gradient descent","score":0.6858670711517334},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6036361455917358},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5278807878494263},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5062824487686157},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.4758833944797516},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.4744861125946045},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.41184574365615845},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36236193776130676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3432389497756958},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3248964846134186},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2291160225868225},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16231998801231384},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.08419325947761536},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0826345682144165}],"concepts":[{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6858670711517334},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6036361455917358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5278807878494263},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5062824487686157},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.4758833944797516},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4744861125946045},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.41184574365615845},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36236193776130676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3432389497756958},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3248964846134186},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2291160225868225},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16231998801231384},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.08419325947761536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0826345682144165},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc64448.2024.10590954","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/ecc64448.2024.10590954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04613005v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04613005","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"22nd European Control Conference, ECC 2024, Jun 2024, Stochholm, Sweden","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W15095876","https://openalex.org/W1522301498","https://openalex.org/W1971583973","https://openalex.org/W1987503368","https://openalex.org/W1991378199","https://openalex.org/W2020657791","https://openalex.org/W2030006024","https://openalex.org/W2048250719","https://openalex.org/W2095867310","https://openalex.org/W2146342888","https://openalex.org/W2154347068","https://openalex.org/W2155027007","https://openalex.org/W2545460640","https://openalex.org/W2550039210","https://openalex.org/W2965941388","https://openalex.org/W3004577623","https://openalex.org/W3028233350","https://openalex.org/W3100645411","https://openalex.org/W3111569753","https://openalex.org/W3114382308","https://openalex.org/W3120559996","https://openalex.org/W4205970120","https://openalex.org/W4226007303","https://openalex.org/W4302585512","https://openalex.org/W4320488099","https://openalex.org/W4388917818","https://openalex.org/W6631190155","https://openalex.org/W6662592195","https://openalex.org/W6683204974"],"related_works":["https://openalex.org/W263682811","https://openalex.org/W2098528027","https://openalex.org/W2356977358","https://openalex.org/W3199158697","https://openalex.org/W3197592642","https://openalex.org/W2564172750","https://openalex.org/W2005717169","https://openalex.org/W2069731254","https://openalex.org/W2846499288","https://openalex.org/W2393217814"],"abstract_inverted_index":{"The":[0,81],"weighted":[1,61,77],"linearization":[2,62],"is":[3,23,83],"a":[4,37,72],"generalization":[5],"of":[6,14,21,28,31,46,91,99],"the":[7,12,15,19,26,29,32,47,55,60,64,87,100],"first-order":[8],"Taylor":[9],"approximation":[10],"where":[11],"computation":[13,27],"Jacobian":[16,33],"matrices":[17],"at":[18],"point":[20],"interest":[22],"replaced":[24],"by":[25,36],"integral":[30],"matrix":[34],"function":[35,39],"weighting":[38],"that":[40,109],"expresses":[41],"how":[42],"much":[43],"different":[44],"parts":[45],"domain":[48],"should":[49],"be":[50],"taken":[51],"into":[52],"account":[53],"during":[54],"linearization.":[56],"This":[57],"paper":[58],"blends":[59],"with":[63],"existing":[65],"gradient":[66,78],"descent":[67,79],"(GD)":[68],"method":[69],"to":[70,85,105],"develop":[71],"novel":[73],"optimization":[74],"technique":[75],"named":[76],"(WGD).":[80],"WGD":[82,101],"shown":[84],"outperform":[86],"GD":[88],"in":[89,112],"terms":[90],"mean":[92],"absolute":[93],"error,":[94],"given":[95],"an":[96],"appropriate":[97],"tuning":[98],"hyper-parameters,":[102],"when":[103],"applied":[104],"various":[106],"nonlinear":[107],"functions":[108],"are":[110],"multi-modal":[111],"nature,":[113],"thus":[114],"exhibiting":[115],"several":[116],"optima.":[117]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
