{"id":"https://openalex.org/W3022305391","doi":"https://doi.org/10.1109/isit50566.2022.9834683","title":"Multi-Scale Zero-Order Optimization of Smooth Functions in an RKHS","display_name":"Multi-Scale Zero-Order Optimization of Smooth Functions in an RKHS","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W3022305391","doi":"https://doi.org/10.1109/isit50566.2022.9834683","mag":"3022305391"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834683","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/6kn5398v","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109722778","display_name":"Madison Lee","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Madison Lee","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061321764","display_name":"Shubhanshu Shekhar","orcid":"https://orcid.org/0000-0002-9439-1078"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shubhanshu Shekhar","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059310658","display_name":"Tara Javidi","orcid":"https://orcid.org/0000-0001-7112-1043"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tara Javidi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109722778"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2582,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.33386243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"288","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9998999834060669,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9997000098228455,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"Reproducing kernel Hilbert space","score":0.8018187284469604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7228131294250488},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.628054141998291},{"id":"https://openalex.org/keywords/regret","display_name":"Regret","score":0.6271556615829468},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6009300351142883},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5339701771736145},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5089514255523682},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.49374446272850037},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.48822954297065735},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46290266513824463},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.45591461658477783},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4324493408203125},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.33967167139053345},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.3232930898666382},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.304718554019928},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17191317677497864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14301997423171997}],"concepts":[{"id":"https://openalex.org/C80884492","wikidata":"https://www.wikidata.org/wiki/Q3345678","display_name":"Reproducing kernel Hilbert space","level":3,"score":0.8018187284469604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7228131294250488},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.628054141998291},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.6271556615829468},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6009300351142883},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5339701771736145},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5089514255523682},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.49374446272850037},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.48822954297065735},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46290266513824463},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.45591461658477783},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4324493408203125},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.33967167139053345},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.3232930898666382},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.304718554019928},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17191317677497864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14301997423171997},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit50566.2022.9834683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834683","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt6kn5398v","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/6kn5398v","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt6kn5398v","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/6kn5398v","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W562843364","https://openalex.org/W1481631336","https://openalex.org/W1579652926","https://openalex.org/W1665719966","https://openalex.org/W1746819321","https://openalex.org/W2017437908","https://openalex.org/W2108794978","https://openalex.org/W2111241577","https://openalex.org/W2119401655","https://openalex.org/W2139805416","https://openalex.org/W2166566250","https://openalex.org/W2168405694","https://openalex.org/W2555886487","https://openalex.org/W2616619952","https://openalex.org/W2621300804","https://openalex.org/W2891810713","https://openalex.org/W2951670696","https://openalex.org/W2952353845","https://openalex.org/W2952944792","https://openalex.org/W2962839911","https://openalex.org/W2963271096","https://openalex.org/W2963659022","https://openalex.org/W2966650348","https://openalex.org/W3004408979","https://openalex.org/W3102150134","https://openalex.org/W3206923650","https://openalex.org/W3209945389","https://openalex.org/W4211049957","https://openalex.org/W4287182472","https://openalex.org/W4287667175","https://openalex.org/W4288562530","https://openalex.org/W4289659377","https://openalex.org/W4322716129","https://openalex.org/W6628685483","https://openalex.org/W6634567111","https://openalex.org/W6676817345","https://openalex.org/W6680331187","https://openalex.org/W6681821898","https://openalex.org/W6730055402","https://openalex.org/W6736246758","https://openalex.org/W6739006594","https://openalex.org/W6754790634","https://openalex.org/W6759580156","https://openalex.org/W6759846636","https://openalex.org/W6773282199","https://openalex.org/W6783657742","https://openalex.org/W6794918513","https://openalex.org/W6802204034","https://openalex.org/W6803648520","https://openalex.org/W6841151953"],"related_works":["https://openalex.org/W2971351794","https://openalex.org/W4376155396","https://openalex.org/W1947085858","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2101991911","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W3123835761","https://openalex.org/W4287899646"],"abstract_inverted_index":{"Consider":[0],"the":[1,9,12,22,34,49,60,63,71,77,85,91,125,135,146],"problem":[2],"of":[3,48,76,127,141],"optimizing":[4],"a":[5,29,39,53,119],"black-box":[6],"function":[7,13,50],"under":[8],"assumption":[10,94],"that":[11,90],"is":[14,95],"Holder":[15,92],"smooth":[16],"and":[17,81,101,109,132],"has":[18],"bounded":[19],"norm":[20],"in":[21,74],"reproducing":[23],"kernel":[24],"Hilbert":[25],"space":[26],"associated":[27],"with":[28,44],"given":[30],"kernel.":[31,86],"We":[32,65,87],"propose":[33],"LP-GP-UCB":[35,128],"algorithm":[36],"which":[37],"augments":[38],"Gaussian":[40],"process":[41],"surrogate":[42],"model":[43],"local":[45],"polynomial":[46],"estimators":[47],"to":[51,58],"construct":[52],"multi-scale":[54],"upper":[55],"confidence":[56],"bound":[57],"guide":[59],"search":[61],"for":[62,84,97,116,129,139],"optimizer.":[64],"provide":[66],"high":[67],"probability":[68],"bounds":[69,115,123,138],"on":[70],"cumulative":[72],"regret":[73,114,122],"terms":[75],"maximum":[78],"information":[79],"gain":[80],"smoothness":[82,93],"parameters":[83],"then":[88],"show":[89],"satisfied":[96],"several":[98],"commonly":[99],"used":[100],"practically":[102],"relevant":[103],"kernels\u2014the":[104],"Matern,":[105],"rational-":[106],"quadratic,":[107],"\u03b3-exponential,":[108],"piecewise-polynomial":[110],"kernels\u2014and":[111],"obtain":[112],"explicit":[113,137],"them":[117],"as":[118],"result.":[120],"These":[121],"establish":[124],"near-optimality":[126],"these":[130],"kernels":[131],"are":[133],"also":[134],"first":[136],"many":[140],"them.":[142],"Finally,":[143],"we":[144],"demonstrate":[145],"practical":[147],"benefits":[148],"experimentally.":[149]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
