{"id":"https://openalex.org/W2151234109","doi":"https://doi.org/10.1109/acc.2005.1470699","title":"On consistency of stochastic gradient algorithms for ARMAX models with disturbances","display_name":"On consistency of stochastic gradient algorithms for ARMAX models with disturbances","publication_year":2005,"publication_date":"2005-08-10","ids":{"openalex":"https://openalex.org/W2151234109","doi":"https://doi.org/10.1109/acc.2005.1470699","mag":"2151234109"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2005.1470699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","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/A5100637638","display_name":"Feng Ding","orcid":"https://orcid.org/0000-0002-2721-2025"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Feng Ding","raw_affiliation_strings":["Control Science and Engineering Research Center, Southern Yangtze University, Wuxi, China","Research Associate, University of Alberta, Edmonton, Canada"],"affiliations":[{"raw_affiliation_string":"Control Science and Engineering Research Center, Southern Yangtze University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]},{"raw_affiliation_string":"Research Associate, University of Alberta, Edmonton, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037989105","display_name":"Tongwen Chen","orcid":"https://orcid.org/0000-0002-1699-7947"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tongwen Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100637638"],"corresponding_institution_ids":["https://openalex.org/I111599522","https://openalex.org/I154425047"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14387712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4464","last_page":"4469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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/T11236","display_name":"Control Systems and Identification","score":0.9980999827384949,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.7388402223587036},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6866210699081421},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.6103600263595581},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6071653366088867},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5712915658950806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5467761754989624},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5346794128417969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47350719571113586},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.45600947737693787},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44943463802337646},{"id":"https://openalex.org/keywords/strong-consistency","display_name":"Strong consistency","score":0.44179296493530273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41909247636795044},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23227769136428833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15360668301582336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09166434407234192}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7388402223587036},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6866210699081421},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.6103600263595581},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6071653366088867},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5712915658950806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5467761754989624},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5346794128417969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47350719571113586},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.45600947737693787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44943463802337646},{"id":"https://openalex.org/C31388003","wikidata":"https://www.wikidata.org/wiki/Q7624548","display_name":"Strong consistency","level":3,"score":0.44179296493530273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41909247636795044},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23227769136428833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15360668301582336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09166434407234192},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2005.1470699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W105751747","https://openalex.org/W1569320505","https://openalex.org/W1998319784","https://openalex.org/W2000352206","https://openalex.org/W2019451808","https://openalex.org/W2033207252","https://openalex.org/W2043265117","https://openalex.org/W2075136968","https://openalex.org/W2082302101","https://openalex.org/W2102071424","https://openalex.org/W2106983679","https://openalex.org/W2118980532","https://openalex.org/W2130059151","https://openalex.org/W2137819704","https://openalex.org/W2146586049","https://openalex.org/W2147807198","https://openalex.org/W2150730071"],"related_works":["https://openalex.org/W2560215812","https://openalex.org/W2949601986","https://openalex.org/W2788972299","https://openalex.org/W2521347458","https://openalex.org/W2498789492","https://openalex.org/W2729981612","https://openalex.org/W2925692864","https://openalex.org/W4233449973","https://openalex.org/W2768526084","https://openalex.org/W2090422802"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"a":[5],"new":[6],"method":[7],"to":[8,70],"prove":[9],"in":[10],"detail":[11],"the":[12,15,37,40,46,60],"consistency":[13],"of":[14,36],"residual":[16],"based":[17,20],"and":[18,45,67],"innovation":[19],"stochastic":[21],"gradient":[22],"algorithms":[23],"for":[24],"identifying":[25],"CARMA/ARMAX":[26],"models":[27],"with":[28],"disturbances":[29],"under":[30,72],"weaker":[31],"conditions":[32],"on":[33],"statistical":[34],"properties":[35],"noise,":[38],"e.g.,":[39],"mean":[41],"value":[42],"is":[43,48,64],"non-zero,":[44],"variance":[47],"time-varying,":[49],"and/or":[50],"high-order":[51],"moments":[52],"are":[53],"possibly":[54],"nonexistent.":[55],"The":[56],"analysis":[57],"indicates":[58],"that":[59],"parameter":[61],"estimation":[62],"error":[63],"consistently":[65,68],"bounded,":[66],"converges":[69],"zero":[71],"persistent":[73],"excitation":[74],"conditions.":[75]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}