{"id":"https://openalex.org/W4406601016","doi":"https://doi.org/10.1287/moor.2023.0281","title":"New Analysis of an Away-Step Frank\u2013Wolfe Method for Minimizing Log-Homogeneous Barriers","display_name":"New Analysis of an Away-Step Frank\u2013Wolfe Method for Minimizing Log-Homogeneous Barriers","publication_year":2025,"publication_date":"2025-01-20","ids":{"openalex":"https://openalex.org/W4406601016","doi":"https://doi.org/10.1287/moor.2023.0281"},"language":"en","primary_location":{"id":"doi:10.1287/moor.2023.0281","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2023.0281","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","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/A5002868460","display_name":"Renbo Zhao","orcid":"https://orcid.org/0000-0002-8226-9243"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Renbo Zhao","raw_affiliation_strings":["Department of Business Analytics, Tippie College of Business, University of Iowa, Iowa City, Iowa 52242"],"raw_orcid":"https://orcid.org/0000-0002-8226-9243","affiliations":[{"raw_affiliation_string":"Department of Business Analytics, Tippie College of Business, University of Iowa, Iowa City, Iowa 52242","institution_ids":["https://openalex.org/I126307644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002868460"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":null,"apc_paid":null,"fwci":0.7652,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62183213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"51","issue":"1","first_page":"35","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/mathematics","display_name":"Mathematics","score":0.7994608283042908},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6735079884529114},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.42602866888046265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42411521077156067},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35383737087249756},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3510127067565918},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31038564443588257}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7994608283042908},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6735079884529114},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42602866888046265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42411521077156067},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35383737087249756},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3510127067565918},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31038564443588257},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/moor.2023.0281","is_oa":false,"landing_page_url":"https://doi.org/10.1287/moor.2023.0281","pdf_url":null,"source":{"id":"https://openalex.org/S55826652","display_name":"Mathematics of Operations Research","issn_l":"0364-765X","issn":["0364-765X","1526-5471"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1632601927","https://openalex.org/W1985240368","https://openalex.org/W1997859086","https://openalex.org/W2003146967","https://openalex.org/W2013243898","https://openalex.org/W2013850411","https://openalex.org/W2014116058","https://openalex.org/W2019120702","https://openalex.org/W2028355641","https://openalex.org/W2029236670","https://openalex.org/W2030161963","https://openalex.org/W2040676043","https://openalex.org/W2050892949","https://openalex.org/W2064380440","https://openalex.org/W2069849731","https://openalex.org/W2076095618","https://openalex.org/W2078735805","https://openalex.org/W2082366275","https://openalex.org/W2124541940","https://openalex.org/W2133629339","https://openalex.org/W2134882453","https://openalex.org/W2136885855","https://openalex.org/W2138663260","https://openalex.org/W2140180727","https://openalex.org/W2165323796","https://openalex.org/W2264518955","https://openalex.org/W2482485328","https://openalex.org/W2535496140","https://openalex.org/W2551153860","https://openalex.org/W2603538444","https://openalex.org/W2625685405","https://openalex.org/W2963663060","https://openalex.org/W3089880967","https://openalex.org/W3103871524","https://openalex.org/W3170692334","https://openalex.org/W3178749228","https://openalex.org/W4236240466","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4253029839","https://openalex.org/W4387601960"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1598955744","https://openalex.org/W2980963558","https://openalex.org/W4285167822","https://openalex.org/W2951710344","https://openalex.org/W2204136089","https://openalex.org/W1917349875","https://openalex.org/W1882246857","https://openalex.org/W2144602163","https://openalex.org/W3103304230"],"abstract_inverted_index":{"We":[0,69,133,179],"present":[1],"and":[2,42,63,72,88,146,175,186,192,200],"analyze":[3],"an":[4],"away-step":[5],"Frank\u2013Wolfe":[6,90,122,177],"method":[7,80,142,204],"for":[8,124],"the":[9,85,89,95,137,172,176,198,225],"convex":[10],"optimization":[11],"problem":[12],"[Formula:":[13,24,35,43,152],"see":[14,25,36,44,153],"text],":[15],"where":[16],"f":[17],"is":[18,27,38,46],"a":[19,28,39,47,102,120,149,156],"\u03b8-logarithmically":[20],"homogeneous":[21],"self-concordant":[22],"barrier,":[23],"text]":[26,37,45,154],"linear":[29,40,75,167],"operator":[30],"that":[31,136],"may":[32],"be":[33],"noninvertible,":[34],"function,":[41],"nonempty":[48],"polytope.":[49],"The":[50],"applications":[51],"of":[52,59,78,83,119,151,159,188,202,229],"primary":[53],"interest":[54],"include":[55],"D-optimal":[56,96,184],"design,":[57],"inference":[58,187],"multivariate":[60,189],"Hawkes":[61,190],"processes,":[62,191],"total":[64],"variation-regularized":[65],"Poisson":[66],"image":[67],"deblurring.":[68],"establish":[70],"affine-invariant":[71],"norm-independent":[73],"global":[74],"convergence":[76,118,168],"rates":[77,169],"our":[79,99,141,193,203,214],"in":[81,148],"terms":[82],"both":[84,171],"objective":[86,173],"gap":[87,174],"gap.":[91],"When":[92],"specialized":[93],"to":[94,164],"design":[97,185],"problem,":[98],"results":[100,194,216],"settle":[101],"question":[103],"left":[104],"open":[105],"since":[106],"Ahipasaoglu":[107],"et":[108],"al.":[109],"[Ahipasaoglu":[110],"SD,":[111],"Sun":[112],"P,":[113],"Todd":[114],"MJ":[115],"(2008)":[116],"Linear":[117],"modified":[121],"algorithm":[123],"computing":[125],"minimum-volume":[126],"enclosing":[127],"ellipsoids.":[128],"Optim.":[129],"Methods":[130],"Software":[131],"23(1):5\u201319].":[132],"also":[134],"show":[135],"iterates":[138],"generated":[139],"by":[140,224],"will":[143],"land":[144],"on":[145,183],"remain":[147],"face":[150],"within":[155],"bounded":[157],"number":[158],"iterations,":[160],"which":[161],"can":[162],"lead":[163],"improved":[165],"local":[166],"(for":[170],"gap).":[178],"conduct":[180],"numerical":[181],"experiments":[182],"not":[195],"only":[196],"demonstrate":[197],"efficiency":[199],"effectiveness":[201],"compared":[205],"with":[206],"other":[207],"principled":[208],"first-order":[209],"methods":[210],"but":[211],"also,":[212],"corroborate":[213],"theoretical":[215],"quite":[217],"well.":[218],"Funding:":[219],"This":[220],"work":[221],"was":[222],"supported":[223],"Air":[226],"Force":[227],"Office":[228],"Scientific":[230],"Research":[231],"[Grant":[232],"FA9550-22-1-0356].":[233]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-02-21T06:11:54.161237","created_date":"2025-10-10T00:00:00"}