{"id":"https://openalex.org/W2590958412","doi":null,"title":"A Rate of Convergence for Learning Theory with Consensus","display_name":"A Rate of Convergence for Learning Theory with Consensus","publication_year":2015,"publication_date":"2015-02-04","ids":{"openalex":"https://openalex.org/W2590958412","mag":"2590958412"},"language":"en","primary_location":{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/51263","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/51263","pdf_url":"https://vtechworks.lib.vt.edu/bitstream/10919/51263/1/Gregory_JG_T_2015.pdf","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vtechworks.lib.vt.edu/bitstream/10919/51263/1/Gregory_JG_T_2015.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023649872","display_name":"Jessica Gregory","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jessica Gregory","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5023649872"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.6093999743461609,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.6093999743461609,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.15360000729560852,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.14319999516010284,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/sensor-networks","display_name":"sensor networks","score":0.7919999957084656},{"id":"https://openalex.org/keywords/consensus","display_name":"consensus","score":0.5839999914169312},{"id":"https://openalex.org/keywords/convergence-rate","display_name":"convergence rate","score":0.847000002861023},{"id":"https://openalex.org/keywords/distribution-free-learning","display_name":"distribution-free learning","score":0.8640000224113464},{"id":"https://openalex.org/keywords/saddle-point-problems","display_name":"saddle point problems","score":0.9359999895095825},{"id":"https://openalex.org/keywords/least-squares-estimation","display_name":"least squares estimation","score":0.6079999804496765},{"id":"https://openalex.org/keywords/wavelet-approximation","display_name":"wavelet approximation","score":0.9810000061988831},{"id":"https://openalex.org/keywords/probability-bounds","display_name":"probability bounds","score":0.6790000200271606},{"id":"https://openalex.org/keywords/communication-topology","display_name":"communication topology","score":0.6340000033378601},{"id":"https://openalex.org/keywords/lagrange-multiplier-method","display_name":"Lagrange multipliers","score":0.8109999895095825},{"id":"https://openalex.org/keywords/distributed-estimation","display_name":"distributed estimation","score":0.48399999737739563},{"id":"https://openalex.org/keywords/distributed-control","display_name":"distributed control","score":0.8069999814033508}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48328450322151184},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4114045798778534},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.33184802532196045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.306704044342041},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3030582070350647},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.09019693732261658}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/51263","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/51263","pdf_url":"https://vtechworks.lib.vt.edu/bitstream/10919/51263/1/Gregory_JG_T_2015.pdf","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":"Thesis"},{"id":"mag:2590958412","doi":null,"is_oa":false,"landing_page_url":"https://vtechworks.lib.vt.edu/handle/10919/51263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:vtechworks.lib.vt.edu:10919/51263","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10919/51263","pdf_url":"https://vtechworks.lib.vt.edu/bitstream/10919/51263/1/Gregory_JG_T_2015.pdf","source":{"id":"https://openalex.org/S4306400248","display_name":"VTechWorks (Virginia Tech)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I859038795","host_organization_name":"Virginia Tech","host_organization_lineage":["https://openalex.org/I859038795"],"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":"Thesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314997","display_name":"Strong","ror":"https://ror.org/041vyzr56"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2590958412.pdf","grobid_xml":"https://content.openalex.org/works/W2590958412.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1534416612","https://openalex.org/W1969983559","https://openalex.org/W1977507229","https://openalex.org/W1979384859","https://openalex.org/W1993436019","https://openalex.org/W1998545452","https://openalex.org/W2017630905","https://openalex.org/W2021469018","https://openalex.org/W2033736734","https://openalex.org/W2040870580","https://openalex.org/W2045155163","https://openalex.org/W2047278710","https://openalex.org/W2051735871","https://openalex.org/W2073750241","https://openalex.org/W2099901267","https://openalex.org/W2101385798","https://openalex.org/W2104602264","https://openalex.org/W2107568926","https://openalex.org/W2122948266","https://openalex.org/W2129293958","https://openalex.org/W2129390569","https://openalex.org/W2131484267","https://openalex.org/W2134353465","https://openalex.org/W2134910113","https://openalex.org/W2148603752","https://openalex.org/W2158781299","https://openalex.org/W2164523573","https://openalex.org/W2166344854","https://openalex.org/W2535756153","https://openalex.org/W2799004609","https://openalex.org/W3100788044","https://openalex.org/W4238452917"],"related_works":["https://openalex.org/W2131484267","https://openalex.org/W1968882379","https://openalex.org/W7096936701","https://openalex.org/W2163649281","https://openalex.org/W2134353465","https://openalex.org/W1899340896","https://openalex.org/W3189220107","https://openalex.org/W4234814275","https://openalex.org/W3115044420","https://openalex.org/W1986043184"],"abstract_inverted_index":{"This":[0,155],"thesis":[1,156],"poses":[2],"and":[3,19,44,110,178],"solves":[4],"a":[5,96,145,158],"distribution":[6,136],"free":[7,137],"learning":[8,138,161,199],"problem":[9,139,148],"with":[10,118,140,183],"consensus":[11,141],"that":[12,69],"arises":[13],"in":[14],"the":[15,39,73,93,124,129,135,151,184,188,196],"study":[16],"of":[17,38,92,98,134,187,193,213],"estimation":[18,165],"control":[20],"strategies":[21],"for":[22,29,83,128,195,210],"distributed":[23,46],"sensor":[24,40],"networks.":[25],"Each":[26,80],"node":[27,81],"i":[28,30,53,57,77,82,84,101],"=":[31,85],"1,":[32,86],".":[33,34,35,87,88,89],",":[36,59,90],"n":[37,91],"network":[41,94],"collects":[42],"independent":[43],"identically":[45],"local":[47,106,164,170],"measurements":[48,107],"{z":[49,52,108],"i}":[50,109],":=":[51,55,67],"j}j\u2208N":[54],"{(x":[56],"j":[58,61],"yi":[60],")}j\u2208N":[62],"\u2286":[63],"X":[64],"\u00d7":[65],"Y":[66],"Z":[68],"are":[70,116,201],"generated":[71],"by":[72,123],"probability":[74],"measure":[75],"\u03c1":[76],"on":[78,175,204],"Z.":[79],"constructs":[95],"sequence":[97],"estimates":[99],"{f":[100],"k":[102],"}k\u2208N":[103],"from":[104,111],"its":[105],"information":[112,179],"functionals":[113],"whose":[114],"values":[115],"exchanged":[117],"other":[119],"nodes":[120],"as":[121,144],"specified":[122],"communication":[125],"graph":[126],"G":[127],"network.":[130],"The":[131],"optimal":[132,153],"estimate":[133],"is":[142,166,181],"cast":[143],"saddle":[146,189],"point":[147,190],"which":[149],"characterizes":[150],"consensus-constrained":[152],"estimate.":[154],"introduces":[157],"two":[159,197],"stage":[160,198],"dynamic":[162,200],"wherein":[163],"carried":[167],"out":[168],"via":[169],"least":[171],"square":[172],"approximations":[173],"based":[174,203],"wavelet":[176,211],"constructions":[177],"exchange":[180],"associated":[182],"Lagrange":[185],"multipliers":[186],"problem.":[191],"Rates":[192],"convergence":[194],"derived":[202,209],"certain":[205],"recent":[206],"probabilistic":[207],"bounds":[208],"approximation":[212],"regressor":[214],"functions.":[215]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-03-03T00:00:00"}
