{"id":"https://openalex.org/W4391476838","doi":"https://doi.org/10.1137/22m1529907","title":"Optimization on Manifolds via Graph Gaussian Processes","display_name":"Optimization on Manifolds via Graph Gaussian Processes","publication_year":2024,"publication_date":"2024-02-02","ids":{"openalex":"https://openalex.org/W4391476838","doi":"https://doi.org/10.1137/22m1529907"},"language":"en","primary_location":{"id":"doi:10.1137/22m1529907","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1529907","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1137/22m1529907","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088820386","display_name":"Hwanwoo Kim","orcid":"https://orcid.org/0000-0001-9875-6444"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hwanwoo Kim","raw_affiliation_strings":["Committee on Computational and Applied Mathematics, University of Chicago, Chicago, IL 60637 USA"],"raw_orcid":"https://orcid.org/0000-0001-9875-6444","affiliations":[{"raw_affiliation_string":"Committee on Computational and Applied Mathematics, University of Chicago, Chicago, IL 60637 USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089991960","display_name":"Daniel Sanz-Alonso","orcid":"https://orcid.org/0000-0002-5022-864X"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Sanz-Alonso","raw_affiliation_strings":["Department of Statistics, University of Chicago, Chicago, IL 60637 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Chicago, Chicago, IL 60637 USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025921204","display_name":"Ruiyi Yang","orcid":"https://orcid.org/0000-0002-0179-6165"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ruiyi Yang","raw_affiliation_strings":["Program of Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544 USA"],"raw_orcid":"https://orcid.org/0000-0002-0179-6165","affiliations":[{"raw_affiliation_string":"Program of Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544 USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025921204"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":1.9868,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87423367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"6","issue":"1","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9911999702453613,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9911999702453613,"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":0.9848999977111816,"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"}},{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/graph","display_name":"Graph","score":0.47278356552124023},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4141431748867035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39024388790130615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3653244376182556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35562628507614136},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2544688284397125},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14994359016418457},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.11015638709068298}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47278356552124023},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4141431748867035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39024388790130615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3653244376182556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35562628507614136},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2544688284397125},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14994359016418457},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.11015638709068298}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1529907","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1529907","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/22m1529907","is_oa":true,"landing_page_url":"https://doi.org/10.1137/22m1529907","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G216502438","display_name":null,"funder_award_id":"DMS-2237628","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2719669255","display_name":null,"funder_award_id":"SC0022232","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5103245883","display_name":null,"funder_award_id":"DMS-2027056","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320309764","display_name":"Fundaci\u00f3n BBVA","ror":"https://ror.org/01jzs3b90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1480330138","https://openalex.org/W1837874438","https://openalex.org/W2040635790","https://openalex.org/W2045512849","https://openalex.org/W2095800081","https://openalex.org/W2107466517","https://openalex.org/W2126292488","https://openalex.org/W2132914434","https://openalex.org/W2963122501","https://openalex.org/W2963266525","https://openalex.org/W2972777349","https://openalex.org/W2976645955","https://openalex.org/W3014571813","https://openalex.org/W3016333069","https://openalex.org/W3033995672","https://openalex.org/W3101046454","https://openalex.org/W3107254801","https://openalex.org/W3177079778","https://openalex.org/W3183926510","https://openalex.org/W3212276908","https://openalex.org/W4205293427","https://openalex.org/W4206333827","https://openalex.org/W4206659268","https://openalex.org/W4211049957","https://openalex.org/W4213367101","https://openalex.org/W4235606958","https://openalex.org/W4280607149","https://openalex.org/W4323539420"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{".This":[0],"paper":[1],"integrates":[2],"manifold":[3,34,51],"learning":[4],"techniques":[5],"within":[6],"a":[7,20,29,47,55],"Gaussian":[8,57,114],"process":[9,58],"upper":[10],"confidence":[11],"bound":[12],"algorithm":[13],"to":[14,53],"optimize":[15],"an":[16],"objective":[17,41],"function":[18],"on":[19,46],"manifold.":[21],"Our":[22],"approach":[23],"is":[24,35,42],"motivated":[25],"by":[26],"applications":[27],"where":[28],"full":[30],"representation":[31],"of":[32,50,73,87,90,95,109],"the":[33,40,62,70,74,88,93,96,103,107],"not":[36],"available":[37],"and":[38,92,105],"querying":[39],"expensive.":[43],"We":[44,81],"rely":[45],"point":[48,97],"cloud":[49],"samples":[52],"define":[54],"graph":[56],"surrogate":[59,75],"model":[60,76],"for":[61],"objective.":[63],"Query":[64],"points":[65],"are":[66],"sequentially":[67],"chosen":[68],"using":[69],"posterior":[71],"distribution":[72],"given":[77],"all":[78],"previous":[79],"queries.":[80],"establish":[82],"regret":[83],"bounds":[84],"in":[85],"terms":[86],"number":[89],"queries":[91],"size":[94],"cloud.":[98],"Several":[99],"numerical":[100],"examples":[101],"complement":[102],"theory":[104],"illustrate":[106],"performance":[108],"our":[110],"method.KeywordsBayesian":[111],"optimizationmanifold":[112],"learninggraph":[113],"processesMSC":[115],"codes60G1562F1505C8590C26":[116]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
