{"id":"https://openalex.org/W1980241579","doi":"https://doi.org/10.1109/adprl.2011.5967355","title":"Parametric value function approximation: A unified view","display_name":"Parametric value function approximation: A unified view","publication_year":2011,"publication_date":"2011-04-01","ids":{"openalex":"https://openalex.org/W1980241579","doi":"https://doi.org/10.1109/adprl.2011.5967355","mag":"1980241579"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/adprl.2011.5967355","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-00618112/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110482875","display_name":"Matthieu Geist","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1288283403","display_name":"Georgia Tech Lorraine","ror":"https://ror.org/02m5dy175","country_code":"FR","type":"education","lineage":["https://openalex.org/I1288283403"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Matthieu Geist","raw_affiliation_strings":["Georgia Tech Lorraine [Metz] (Metz Technop\u00f4le 2-3 rue Marconi 57070 METZ - France)","SUPELEC-Campus Metz (2 rue Edouard Belin 57070 Metz - France)"],"affiliations":[{"raw_affiliation_string":"SUPELEC-Campus Metz (2 rue Edouard Belin 57070 Metz - France)","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Georgia Tech Lorraine [Metz] (Metz Technop\u00f4le 2-3 rue Marconi 57070 METZ - France)","institution_ids":["https://openalex.org/I1288283403"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065100569","display_name":"Olivier Pietquin","orcid":"https://orcid.org/0000-0002-5386-465X"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I1288283403","display_name":"Georgia Tech Lorraine","ror":"https://ror.org/02m5dy175","country_code":"FR","type":"education","lineage":["https://openalex.org/I1288283403"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Pietquin","raw_affiliation_strings":["Georgia Tech Lorraine [Metz] (Metz Technop\u00f4le 2-3 rue Marconi 57070 METZ - France)","SUPELEC-Campus Metz (2 rue Edouard Belin 57070 Metz - France)"],"affiliations":[{"raw_affiliation_string":"SUPELEC-Campus Metz (2 rue Edouard Belin 57070 Metz - France)","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Georgia Tech Lorraine [Metz] (Metz Technop\u00f4le 2-3 rue Marconi 57070 METZ - France)","institution_ids":["https://openalex.org/I1288283403"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":25,"citation_normalized_percentile":{"value":0.957113,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":null,"issue":null,"first_page":"9","last_page":"16"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9993,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9993,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9957,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9939,"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/bootstrapping","display_name":"Bootstrapping (finance)","score":0.709324},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function Approximation","score":0.63623106},{"id":"https://openalex.org/keywords/representation","display_name":"Representation","score":0.5637387},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic Gradient Descent","score":0.5528528},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic Approximation","score":0.47640315}],"concepts":[{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.79826033},{"id":"https://openalex.org/C207609745","wikidata":"https://www.wikidata.org/wiki/Q4944086","display_name":"Bootstrapping (finance)","level":2,"score":0.709324},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6880686},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.63623106},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6218085},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6121919},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5856307},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5637387},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.5528528},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5496241},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.47640315},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.41476992},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3332116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32378173},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.18108055},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1072633},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.095813185},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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":6,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/adprl.2011.5967355","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112","pdf_url":"https://centralesupelec.hal.science/hal-00618112/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-00618112/file/ADPRL_2011_MGOP.pdf","pdf_url":"https://centralesupelec.hal.science/hal-00618112/file/ADPRL_2011_MGOP.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112/file/ADPRL_2011_MGOP.pdf","pdf_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112/file/ADPRL_2011_MGOP.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112/document","pdf_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal-supelec.archives-ouvertes.fr/hal-00618112/document","pdf_url":"https://hal-supelec.archives-ouvertes.fr/hal-00618112/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://hal-centralesupelec.archives-ouvertes.fr/hal-00618112","pdf_url":"https://centralesupelec.hal.science/hal-00618112/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":58,"referenced_works":["https://openalex.org/W13294968","https://openalex.org/W1507222174","https://openalex.org/W1514587017","https://openalex.org/W1518539242","https://openalex.org/W1547105496","https://openalex.org/W1550698229","https://openalex.org/W1569273527","https://openalex.org/W1576452626","https://openalex.org/W1646707810","https://openalex.org/W166862392","https://openalex.org/W1746819321","https://openalex.org/W2007240904","https://openalex.org/W2007655795","https://openalex.org/W2012547817","https://openalex.org/W2019172585","https://openalex.org/W2027648864","https://openalex.org/W2044271447","https://openalex.org/W2062541405","https://openalex.org/W2072931156","https://openalex.org/W2075268401","https://openalex.org/W2082997771","https://openalex.org/W2104753538","https://openalex.org/W2105934661","https://openalex.org/W2109504867","https://openalex.org/W2112264645","https://openalex.org/W2118556122","https://openalex.org/W2119567691","https://openalex.org/W2120346334","https://openalex.org/W2122945138","https://openalex.org/W2127530277","https://openalex.org/W2131600418","https://openalex.org/W2132351269","https://openalex.org/W2132849848","https://openalex.org/W2133733518","https://openalex.org/W2134042548","https://openalex.org/W2136602922","https://openalex.org/W2139418546","https://openalex.org/W2141562047","https://openalex.org/W2147839652","https://openalex.org/W2151661095","https://openalex.org/W2153290280","https://openalex.org/W2154761920","https://openalex.org/W2156974606","https://openalex.org/W2158738729","https://openalex.org/W2158984235","https://openalex.org/W2178806388","https://openalex.org/W2334782222","https://openalex.org/W2586680856","https://openalex.org/W2737668828","https://openalex.org/W2787259794","https://openalex.org/W3198350258","https://openalex.org/W4211049957","https://openalex.org/W4214717370","https://openalex.org/W4245296547","https://openalex.org/W4285719527","https://openalex.org/W4297234538","https://openalex.org/W4307347247","https://openalex.org/W86816279"],"related_works":["https://openalex.org/W4399282524","https://openalex.org/W4323366756","https://openalex.org/W4286899070","https://openalex.org/W4285259204","https://openalex.org/W4256087190","https://openalex.org/W4240668504","https://openalex.org/W3207830353","https://openalex.org/W3119329039","https://openalex.org/W2979432606","https://openalex.org/W1501190258"],"abstract_inverted_index":{"Reinforcement":[0],"learning":[1,6,16],"(RL)":[2],"is":[3,45,53],"a":[4,101,109,114],"machine":[5],"answer":[7],"to":[8,26,46,104],"the":[9,24,29,37,51,67,96],"optimal":[10,18],"control":[11,19],"problem.":[12],"It":[13],"consists":[14],"of":[15,31,66,95],"an":[17,57],"policy":[20,33],"through":[21],"interactions":[22],"with":[23],"system":[25,52],"be":[27],"controlled,":[28],"quality":[30],"this":[32,48],"being":[34],"quantified":[35],"by":[36,75,92],"so-called":[38],"value":[39,72],"function.":[40],"An":[41],"important":[42],"RL":[43],"subtopic":[44],"approximate":[47],"function":[49,73],"when":[50],"too":[54],"large":[55],"for":[56,70],"exact":[58],"representation.":[59],"This":[60],"survey":[61],"reviews":[62],"and":[63,84,100],"unifies":[64],"state":[65],"art":[68],"methods":[69],"parametric":[71],"approximation":[74],"grouping":[76],"them":[77],"into":[78],"three":[79],"main":[80],"categories:":[81],"bootstrapping,":[82],"residuals":[83],"projected":[85],"fixed-point":[86],"approaches.":[87],"Related":[88],"algorithms":[89],"are":[90],"derived":[91],"considering":[93],"one":[94],"associated":[97],"cost":[98],"functions":[99],"specific":[102],"way":[103],"minimize":[105],"it,":[106],"almost":[107],"always":[108],"stochastic":[110],"gradient":[111],"descent":[112],"or":[113],"recursive":[115],"least-squares":[116],"approach.":[117]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1980241579","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2025-01-02T06:50:09.608326","created_date":"2016-06-24"}