{"id":"https://openalex.org/W2094268929","doi":"https://doi.org/10.1137/080716980","title":"OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions","display_name":"OrthoMADS: A Deterministic MADS Instance with Orthogonal Directions","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2094268929","doi":"https://doi.org/10.1137/080716980","mag":"2094268929"},"language":"en","primary_location":{"id":"doi:10.1137/080716980","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080716980","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"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 Optimization","raw_type":"journal-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/A5006822558","display_name":"Mark A. Abramson","orcid":"https://orcid.org/0000-0002-2556-2654"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mark A. Abramson","raw_affiliation_strings":["Mark.A.Abramson@boeing.com and http://www.gerad.ca/NOMAD/Abramson/abramson.html#TAB#"],"affiliations":[{"raw_affiliation_string":"Mark.A.Abramson@boeing.com and http://www.gerad.ca/NOMAD/Abramson/abramson.html#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089929904","display_name":"Charles Audet","orcid":"https://orcid.org/0000-0002-3043-5393"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Charles Audet","raw_affiliation_strings":["Charles.Audet@gerad.ca and http://www.gerad.ca/Charles.Audet and Sebastien.Le.Digabel@gerad.ca and http://www.gerad.ca/Sebastien.Le.Digabel#TAB#"],"affiliations":[{"raw_affiliation_string":"Charles.Audet@gerad.ca and http://www.gerad.ca/Charles.Audet and Sebastien.Le.Digabel@gerad.ca and http://www.gerad.ca/Sebastien.Le.Digabel#TAB#","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109961247","display_name":"J. E. Dennis","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. E. Dennis,","raw_affiliation_strings":["dennis@caam.rice.edu and http://www.caam.rice.edu/$\\\\!_{^{\\\\sim}}\\\\!$dennis#TAB#"],"affiliations":[{"raw_affiliation_string":"dennis@caam.rice.edu and http://www.caam.rice.edu/$\\\\!_{^{\\\\sim}}\\\\!$dennis#TAB#","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022173011","display_name":"S\u00e9bastien Le Digabel","orcid":"https://orcid.org/0000-0003-3148-5090"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Le Digabel","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006822558"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.2441,"has_fulltext":false,"cited_by_count":219,"citation_normalized_percentile":{"value":0.99337143,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"20","issue":"2","first_page":"948","last_page":"966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.6998763680458069},{"id":"https://openalex.org/keywords/polling","display_name":"Polling","score":0.6740161180496216},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6298362016677856},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5579763054847717},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5384582877159119},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4416022300720215},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35327285528182983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3360942006111145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13092026114463806}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6998763680458069},{"id":"https://openalex.org/C204854418","wikidata":"https://www.wikidata.org/wiki/Q1362921","display_name":"Polling","level":2,"score":0.6740161180496216},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6298362016677856},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5579763054847717},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5384582877159119},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4416022300720215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35327285528182983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3360942006111145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13092026114463806},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080716980","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080716980","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:20062","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/20062/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W181733065","https://openalex.org/W1493249195","https://openalex.org/W1551360398","https://openalex.org/W1971953595","https://openalex.org/W1982087768","https://openalex.org/W1985412770","https://openalex.org/W1990599485","https://openalex.org/W1994895518","https://openalex.org/W1998855065","https://openalex.org/W2006575733","https://openalex.org/W2016770622","https://openalex.org/W2017001763","https://openalex.org/W2024948279","https://openalex.org/W2026258334","https://openalex.org/W2026977976","https://openalex.org/W2054875385","https://openalex.org/W2062926156","https://openalex.org/W2068480996","https://openalex.org/W2085137170","https://openalex.org/W2091849172","https://openalex.org/W2092590148","https://openalex.org/W2097273628","https://openalex.org/W2144809990","https://openalex.org/W2162737890","https://openalex.org/W2603102878","https://openalex.org/W2603962680","https://openalex.org/W3004540582","https://openalex.org/W3145128584"],"related_works":["https://openalex.org/W2076641224","https://openalex.org/W2987499578","https://openalex.org/W4205624458","https://openalex.org/W2462076241","https://openalex.org/W4230797417","https://openalex.org/W4386075345","https://openalex.org/W2511501630","https://openalex.org/W2392717539","https://openalex.org/W2164895946","https://openalex.org/W1499408262"],"abstract_inverted_index":{"The":[0,24,107],"purpose":[1],"of":[2,11,22,26,31,45,63],"this":[3,27],"paper":[4],"is":[5,98],"to":[6,56],"introduce":[7],"a":[8,46,73],"new":[9,28],"way":[10],"choosing":[12],"directions":[13,37,65],"for":[14,78,86,101,114],"the":[15,35,43,99,103],"mesh":[16],"adaptive":[17],"direct":[18],"search":[19],"(Mads)":[20],"class":[21],"algorithms.":[23],"advantages":[25],"OrthoMads":[29,79],"instantiation":[30],"Mads":[32,105],"are":[33,38,49,54,70,111],"that":[34,42,52,69],"polling":[36],"chosen":[39],"deterministically,":[40,91],"ensuring":[41],"results":[44,77,110],"given":[47],"run":[48],"repeatable,":[50],"and":[51,88,117,119,121],"they":[53,89],"orthogonal":[55],"each":[57,67],"other,":[58],"which":[59],"yields":[60],"convex":[61],"cones":[62],"missed":[64],"at":[66],"iteration":[68],"minimal":[71],"in":[72],"reasonable":[74],"measure.":[75],"Convergence":[76],"follow":[80],"directly":[81],"from":[82],"those":[83],"already":[84],"published":[85],"Mads,":[87],"hold":[90],"rather":[92],"than":[93],"with":[94],"probability":[95],"one,":[96],"as":[97],"case":[100],"LtMads,":[102],"first":[104],"instance.":[106],"initial":[108],"numerical":[109],"quite":[112],"good":[113],"both":[115],"smooth":[116],"nonsmooth":[118],"constrained":[120],"unconstrained":[122],"problems":[123],"considered":[124],"here.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":19},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":22},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":21},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}