{"id":"https://openalex.org/W4221057986","doi":"https://doi.org/10.1109/tac.2022.3162154","title":"Transient Growth of Accelerated Optimization Algorithms","display_name":"Transient Growth of Accelerated Optimization Algorithms","publication_year":2022,"publication_date":"2022-03-24","ids":{"openalex":"https://openalex.org/W4221057986","doi":"https://doi.org/10.1109/tac.2022.3162154"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3162154","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3162154","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5047399398","display_name":"Hesameddin Mohammadi","orcid":"https://orcid.org/0000-0003-3030-1536"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hesameddin Mohammadi","raw_affiliation_strings":["Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3030-1536","affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012567706","display_name":"Samantha Samuelson","orcid":"https://orcid.org/0000-0003-4797-6302"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samantha Samuelson","raw_affiliation_strings":["Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4797-6302","affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087790067","display_name":"Mihailo R. Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4181-2924"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mihailo R. Jovanovi\u0107","raw_affiliation_strings":["Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-4181-2924","affiliations":[{"raw_affiliation_string":"Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047399398"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":null,"apc_paid":null,"fwci":1.1098,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8094432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"68","issue":"3","first_page":"1823","last_page":"1830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9965000152587891,"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":0.9943000078201294,"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/transient","display_name":"Transient (computer programming)","score":0.6579375267028809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.508660614490509},{"id":"https://openalex.org/keywords/transient-analysis","display_name":"Transient analysis","score":0.4526207447052002},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4460596740245819},{"id":"https://openalex.org/keywords/transient-response","display_name":"Transient response","score":0.36031514406204224},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.353087455034256},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.211998850107193},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1586051881313324},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11608228087425232},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09063839912414551}],"concepts":[{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.6579375267028809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.508660614490509},{"id":"https://openalex.org/C2989121073","wikidata":"https://www.wikidata.org/wiki/Q1309019","display_name":"Transient analysis","level":3,"score":0.4526207447052002},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4460596740245819},{"id":"https://openalex.org/C85761212","wikidata":"https://www.wikidata.org/wiki/Q1974593","display_name":"Transient response","level":2,"score":0.36031514406204224},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.353087455034256},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.211998850107193},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1586051881313324},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11608228087425232},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09063839912414551},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3162154","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3162154","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2094589411","display_name":null,"funder_award_id":"ECCS-1809833","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G6947971317","display_name":null,"funder_award_id":"ECCS-1708906","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W104184427","https://openalex.org/W149522324","https://openalex.org/W164887593","https://openalex.org/W1972552174","https://openalex.org/W1980183459","https://openalex.org/W1988720110","https://openalex.org/W2030161963","https://openalex.org/W2097460613","https://openalex.org/W2097944741","https://openalex.org/W2100556411","https://openalex.org/W2101159990","https://openalex.org/W2123705108","https://openalex.org/W2124541940","https://openalex.org/W2124768887","https://openalex.org/W2127447444","https://openalex.org/W2154338503","https://openalex.org/W2210084516","https://openalex.org/W2496350169","https://openalex.org/W2532703171","https://openalex.org/W2536673720","https://openalex.org/W2765203333","https://openalex.org/W2810138448","https://openalex.org/W2901838001","https://openalex.org/W2913357890","https://openalex.org/W2914211548","https://openalex.org/W2936995161","https://openalex.org/W2963007855","https://openalex.org/W2963040514","https://openalex.org/W2963433607","https://openalex.org/W2964102336","https://openalex.org/W2973208168","https://openalex.org/W3011830603","https://openalex.org/W3012894137","https://openalex.org/W3042135496","https://openalex.org/W3045725788","https://openalex.org/W3097133297","https://openalex.org/W3101190453","https://openalex.org/W3102961917","https://openalex.org/W3104429825","https://openalex.org/W3104821291","https://openalex.org/W3106429777","https://openalex.org/W3108573827","https://openalex.org/W3212964373","https://openalex.org/W6604254268","https://openalex.org/W6758704138","https://openalex.org/W6761030284","https://openalex.org/W6775393332","https://openalex.org/W6803348770"],"related_works":["https://openalex.org/W2758798772","https://openalex.org/W2081338125","https://openalex.org/W4239924455","https://openalex.org/W2001630809","https://openalex.org/W777979701","https://openalex.org/W2014796125","https://openalex.org/W4244925124","https://openalex.org/W2669128877","https://openalex.org/W1985471711","https://openalex.org/W2377879397"],"abstract_inverted_index":{"Optimization":[0],"algorithms":[1],"are":[2,155],"increasingly":[3],"being":[4],"used":[5,31],"in":[6,35,86],"applications":[7],"with":[8,171],"limited":[9],"time":[10,150],"budgets.":[11],"In":[12,39],"many":[13],"real-time":[14],"and":[15,25,89,143,147],"embedded":[16],"scenarios,":[17],"only":[18],"a":[19],"few":[20],"iterations":[21,88],"can":[22],"be":[23,30],"performed":[24],"traditional":[26],"convergence":[27],"metrics":[28],"cannot":[29],"to":[32,63,116,151,157,185],"evaluate":[33],"performance":[34],"these":[36,100],"nonasymptotic":[37],"regimes.":[38],"this":[40],"article,":[41],"we":[42,56,108,175,182],"examine":[43],"the":[44,70,77,91,95,110,122,125,136,140,144,148,152,158,162,166,179],"transient":[45,66,92,126,153],"behavior":[46],"of":[47,72,79,112,124,128,161,165,178],"accelerated":[48,130],"first-order":[49],"optimization":[50,106,141],"algorithms.":[51],"For":[52,102],"convex":[53,104],"quadratic":[54,114],"problems,":[55,107],"employ":[57],"tools":[58],"from":[59,69,94],"linear":[60],"systems":[61],"theory":[62,111],"show":[64,133],"that":[65,81,134,181],"growth":[67,85],"arises":[68],"presence":[71],"nonnormal":[73],"dynamics.":[74],"We":[75,132],"identify":[76],"existence":[78],"modes":[80],"yield":[82],"an":[83,118],"algebraic":[84],"early":[87],"quantify":[90],"excursion":[93],"optimal":[96],"solution":[97],"caused":[98],"by":[99],"modes.":[101],"strongly":[103],"smooth":[105],"utilize":[109],"integral":[113],"constraints":[115],"establish":[117],"upper":[119],"bound":[120],"on":[121],"magnitude":[123],"response":[127],"Nesterov\u2019s":[129],"algorithm.":[131],"both":[135],"Euclidean":[137],"distance":[138],"between":[139],"variable":[142],"global":[145],"minimizer":[146],"rise":[149],"peak":[154],"proportional":[156],"square":[159],"root":[160],"condition":[163,173],"number":[164],"problem.":[167],"Finally,":[168],"for":[169],"problems":[170],"large":[172],"numbers,":[174],"demonstrate":[176],"tightness":[177],"bounds":[180],"derive":[183],"up":[184],"constant":[186],"factors.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}