{"id":"https://openalex.org/W4413392744","doi":"https://doi.org/10.23919/acc63710.2025.11107888","title":"Distributed Personalized Optimization on Riemannian Manifolds with Gradient Tracking","display_name":"Distributed Personalized Optimization on Riemannian Manifolds with Gradient Tracking","publication_year":2025,"publication_date":"2025-07-08","ids":{"openalex":"https://openalex.org/W4413392744","doi":"https://doi.org/10.23919/acc63710.2025.11107888"},"language":"en","primary_location":{"id":"doi:10.23919/acc63710.2025.11107888","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-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/A5039816926","display_name":"Yixian Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yixian Zhao","raw_affiliation_strings":["Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027"],"affiliations":[{"raw_affiliation_string":"Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022407733","display_name":"Yan Huang","orcid":"https://orcid.org/0000-0003-1891-2086"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Huang","raw_affiliation_strings":["Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027"],"affiliations":[{"raw_affiliation_string":"Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100615604","display_name":"Haowei Zhang","orcid":"https://orcid.org/0000-0003-2921-6377"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haochang Zhang","raw_affiliation_strings":["Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027"],"affiliations":[{"raw_affiliation_string":"Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016660429","display_name":"Jinming Xu","orcid":"https://orcid.org/0000-0003-3250-963X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinming Xu","raw_affiliation_strings":["Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027"],"affiliations":[{"raw_affiliation_string":"Zhejiang University,College of Control Science and Engineering,Hangzhou,China,310027","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039816926"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26932515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4172","last_page":"4177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.8867999911308289,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11115","display_name":"Topology Optimization in Engineering","score":0.8867999911308289,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.866100013256073,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10320","display_name":"Neural Networks and Applications","score":0.8597000241279602,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.592121958732605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5637858510017395},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07098391652107239}],"concepts":[{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.592121958732605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5637858510017395},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07098391652107239},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc63710.2025.11107888","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc63710.2025.11107888","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1954823950","https://openalex.org/W1993193433","https://openalex.org/W2044739225","https://openalex.org/W2156529323","https://openalex.org/W2266148951","https://openalex.org/W2291434103","https://openalex.org/W2759764766","https://openalex.org/W2962771678","https://openalex.org/W2963649943","https://openalex.org/W2964145861","https://openalex.org/W3006548771","https://openalex.org/W3150751370","https://openalex.org/W3160440378","https://openalex.org/W3216115800","https://openalex.org/W4205293427","https://openalex.org/W4226090532","https://openalex.org/W4313591702","https://openalex.org/W4315488796","https://openalex.org/W4323539420","https://openalex.org/W4384575270","https://openalex.org/W4393184581"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"In":[0],"this":[1,65],"paper,":[2],"we":[3,67,123],"consider":[4],"a":[5,22,69,130],"distributed":[6,71,87],"Riemannian":[7,72,112,160],"optimization":[8],"problem":[9,34],"with":[10,94],"personalization,":[11],"where":[12,40],"cost":[13],"functions":[14],"are":[15,146],"defined":[16],"on":[17,21,90],"manifolds":[18],"and":[19,29,104,115],"rely":[20],"decision":[23],"variable":[24],"comprising":[25],"both":[26],"global":[27,42],"(shared)":[28],"local":[30,51],"(private)":[31],"components.":[32],"This":[33,97],"structure":[35],"arises":[36],"in":[37,76],"various":[38],"contexts":[39],"the":[41,50,61,91,111,116,126,150,153,157],"part":[43,52],"encapsulates":[44],"common":[45],"characteristics":[46],"across":[47],"nodes,":[48],"while":[49,85],"represents":[53],"personalized":[54,70],"features":[55],"unique":[56],"to":[57,100,148],"individual":[58],"nodes":[59],"within":[60,156],"network.":[62],"To":[63],"solve":[64],"problem,":[66],"propose":[68],"gradient":[73,88],"tracking":[74,89],"method,":[75],"which":[77],"each":[78],"node":[79],"updates":[80],"its":[81],"private":[82],"variables":[83],"locally":[84],"performing":[86],"shared":[92],"component":[93],"neighboring":[95],"nodes.":[96],"coordination":[98],"leads":[99],"greater":[101],"algorithm":[102,128,155],"flexibility":[103],"robustness":[105],"against":[106],"data":[107],"heterogeneity.":[108],"By":[109],"leveraging":[110],"consensus":[113],"mechanism":[114],"law":[117],"of":[118,133,152,159],"cosines":[119],"for":[120,139],"non-Euclidean":[121],"geometry,":[122],"prove":[124],"that":[125],"proposed":[127,154],"achieves":[129],"suboptimality":[131],"gap":[132],"$O\\left(":[134],"{1/\\sqrt":[135],"K":[136],"}":[137],"\\right)$":[138],"geodesically":[140],"convex":[141],"objective":[142],"functions.":[143],"Numerical":[144],"experiments":[145],"conducted":[147],"verify":[149],"effectiveness":[151],"realm":[158],"optimization.":[161]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}