{"id":"https://openalex.org/W2794887289","doi":"https://doi.org/10.1186/s13634-018-0596-y","title":"FROST\u2014Fast row-stochastic optimization with uncoordinated step-sizes","display_name":"FROST\u2014Fast row-stochastic optimization with uncoordinated step-sizes","publication_year":2019,"publication_date":"2019-01-14","ids":{"openalex":"https://openalex.org/W2794887289","doi":"https://doi.org/10.1186/s13634-018-0596-y","mag":"2794887289"},"language":"en","primary_location":{"id":"doi:10.1186/s13634-018-0596-y","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0596-y","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0596-y","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0596-y","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Ran Xin","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ran Xin","raw_affiliation_strings":["Electrical and Computer Engineering, Tufts University, Medford, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Chenguang Xi","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]},{"id":"https://openalex.org/I4210099336","display_name":"Menlo School","ror":"https://ror.org/01240pn49","country_code":"US","type":"education","lineage":["https://openalex.org/I4210099336"]},{"id":"https://openalex.org/I4210114444","display_name":"Meta (United States)","ror":"https://ror.org/01zbnvs85","country_code":"US","type":"company","lineage":["https://openalex.org/I4210114444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chenguang Xi","raw_affiliation_strings":["Electrical and Computer Engineering, Tufts University, Medford, MA, USA","Facebook Inc., Menlo Park, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]},{"raw_affiliation_string":"Facebook Inc., Menlo Park, CA, USA","institution_ids":["https://openalex.org/I4210114444","https://openalex.org/I4210099336"]}]},{"author_position":"last","author":{"id":null,"display_name":"Usman A. Khan","orcid":"https://orcid.org/0000-0002-0853-6518"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Usman A. Khan","raw_affiliation_strings":["Electrical and Computer Engineering, Tufts University, Medford, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0853-6518","affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I121934306"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":7.805,"has_fulltext":true,"cited_by_count":79,"citation_normalized_percentile":{"value":0.97639501,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2019","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9513000249862671,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9513000249862671,"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"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.004800000227987766,"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/T11031","display_name":"Game Theory and Applications","score":0.00430000014603138,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5256999731063843},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.487199991941452},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46239998936653137},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4544999897480011},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.4058000147342682},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.384799987077713}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6819000244140625},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5256999731063843},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5223000049591064},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.487199991941452},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46239998936653137},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4544999897480011},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.4058000147342682},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.384799987077713},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3499999940395355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3098999857902527},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.3057999908924103},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2953999936580658},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27219998836517334},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.2583000063896179}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1186/s13634-018-0596-y","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0596-y","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0596-y","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1803.09169","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.09169","pdf_url":"https://arxiv.org/pdf/1803.09169","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:967166c53c6f410bbe25f1501052ba87","is_oa":true,"landing_page_url":"https://doaj.org/article/967166c53c6f410bbe25f1501052ba87","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2019, Iss 1, Pp 1-14 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13634-018-0596-y","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13634-018-0596-y","pdf_url":"https://asp-eurasipjournals.springeropen.com/track/pdf/10.1186/s13634-018-0596-y","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1919964776","display_name":null,"funder_award_id":"CCF-1350264","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6915539883","display_name":null,"funder_award_id":"1350264","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8889074256","display_name":null,"funder_award_id":"1350264","funder_id":"https://openalex.org/F4320332169","funder_display_name":"Directorate for Computer and Information Science and Engineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332169","display_name":"Directorate for Computer and Information Science and Engineering","ror":"https://ror.org/025kzpk63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2794887289.pdf","grobid_xml":"https://content.openalex.org/works/W2794887289.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1571416372","https://openalex.org/W1616857247","https://openalex.org/W1954823950","https://openalex.org/W1982243808","https://openalex.org/W1982545958","https://openalex.org/W1994860969","https://openalex.org/W1999363437","https://openalex.org/W2044212084","https://openalex.org/W2046387702","https://openalex.org/W2063403497","https://openalex.org/W2071607622","https://openalex.org/W2084044206","https://openalex.org/W2108924122","https://openalex.org/W2110100895","https://openalex.org/W2123705108","https://openalex.org/W2129122308","https://openalex.org/W2135674292","https://openalex.org/W2137435346","https://openalex.org/W2151565294","https://openalex.org/W2154834860","https://openalex.org/W2165744313","https://openalex.org/W2222512263","https://openalex.org/W2266148951","https://openalex.org/W2291434103","https://openalex.org/W2343897292","https://openalex.org/W2399392159","https://openalex.org/W2476071355","https://openalex.org/W2491705961","https://openalex.org/W2590635385","https://openalex.org/W2659643337","https://openalex.org/W2737743075","https://openalex.org/W2763533254","https://openalex.org/W2792751837","https://openalex.org/W2804346170","https://openalex.org/W2885464805","https://openalex.org/W2962840086","https://openalex.org/W2963090384","https://openalex.org/W2963157432","https://openalex.org/W2963649943","https://openalex.org/W2963724567","https://openalex.org/W2964017936","https://openalex.org/W2964103300","https://openalex.org/W2964165783","https://openalex.org/W2964280898","https://openalex.org/W2973303672","https://openalex.org/W4292363360","https://openalex.org/W6602531520"],"related_works":[],"abstract_inverted_index":{"In":[0,57],"this":[1,23],"paper,":[2],"we":[3,59],"discuss":[4],"distributed":[5],"optimization":[6,68],"over":[7],"directed":[8,72],"graphs,":[9],"where":[10],"doubly":[11],"stochastic":[12],"weights":[13,37,93],"cannot":[14],"be":[15,49],"constructed.":[16],"Most":[17],"of":[18,35,80,84],"the":[19,78,82,95,111,122],"existing":[20],"algorithms":[21],"overcome":[22],"issue":[24],"by":[25],"applying":[26],"push-sum":[27],"consensus,":[28],"which":[29,47,85],"utilizes":[30],"column-stochastic":[31,36],"weights.":[32],"The":[33],"formulation":[34],"requires":[38],"each":[39,89],"agent":[40,90],"to":[41,71,94,110],"know":[42],"(at":[43],"least)":[44],"its":[45],"out-degree,":[46],"may":[48],"impractical":[50],"in,":[51],"for":[52,114],"example,":[53],"broadcast-based":[54],"communication":[55],"protocols.":[56],"contrast,":[58],"describe":[60],"FROST":[61,107],"(Fast":[62],"Row-stochastic-Optimization":[63],"with":[64],"uncoordinated":[65],"STep-sizes),":[66],"an":[67],"algorithm":[69],"applicable":[70],"graphs":[73],"that":[74,106,121],"does":[75],"not":[76],"require":[77],"knowledge":[79],"out-degrees,":[81],"implementation":[83],"is":[86,125],"straightforward":[87],"as":[88],"locally":[91,99],"assigns":[92],"incoming":[96],"information":[97],"and":[98,116,127],"chooses":[100],"a":[101],"suitable":[102],"step-size.":[103],"We":[104],"show":[105],"converges":[108],"linearly":[109],"optimal":[112],"solution":[113],"smooth":[115],"strongly":[117],"convex":[118],"functions":[119],"given":[120],"largest":[123],"step-size":[124],"positive":[126],"sufficiently":[128],"small.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":10}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2018-04-06T00:00:00"}