{"id":"https://openalex.org/W2918864170","doi":"https://doi.org/10.1007/s00498-019-00249-4","title":"Non-asymptotic error bounds for constant stepsize stochastic approximation for tracking mobile agents","display_name":"Non-asymptotic error bounds for constant stepsize stochastic approximation for tracking mobile agents","publication_year":2019,"publication_date":"2019-10-25","ids":{"openalex":"https://openalex.org/W2918864170","doi":"https://doi.org/10.1007/s00498-019-00249-4","mag":"2918864170"},"language":"en","primary_location":{"id":"doi:10.1007/s00498-019-00249-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-019-00249-4","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1802.07759","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009564646","display_name":"Bhumesh Kumar","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN","US"],"is_corresponding":true,"raw_author_name":"Bhumesh Kumar","raw_affiliation_strings":["Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India","Department of Electrical and Computer Engineering, University of Wisconsin at Madison, Madison, WI, 53706, USA"],"raw_orcid":"https://orcid.org/0000-0001-6777-8595","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India","institution_ids":["https://openalex.org/I162827531"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Wisconsin at Madison, Madison, WI, 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018541798","display_name":"Vivek S. Borkar","orcid":"https://orcid.org/0000-0003-0756-5402"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vivek Borkar","raw_affiliation_strings":["Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100622977","display_name":"Akhil Shetty","orcid":"https://orcid.org/0000-0002-6252-7671"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["IN","US"],"is_corresponding":false,"raw_author_name":"Akhil Shetty","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of California at Berkeley, Cory Hall, Hearst Avenue, Berkeley, CA, 94720, USA","Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of California at Berkeley, Cory Hall, Hearst Avenue, Berkeley, CA, 94720, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT Bombay, Mumbai, Maharashtra, 400076, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009564646"],"corresponding_institution_ids":["https://openalex.org/I135310074","https://openalex.org/I162827531"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9286,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76826735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"4","first_page":"589","last_page":"614"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9975000023841858,"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":0.9975000023841858,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9973999857902527,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9937000274658203,"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/constant","display_name":"Constant (computer programming)","score":0.7272594571113586},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7068299055099487},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6483210921287537},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6258430480957031},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.6034412384033203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6030260920524597},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5315971970558167},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.48715469241142273},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42796558141708374},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.4248265027999878},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3805280327796936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21407464146614075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16041186451911926},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1343955099582672},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07656067609786987}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7272594571113586},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7068299055099487},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6483210921287537},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6258430480957031},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.6034412384033203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6030260920524597},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5315971970558167},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.48715469241142273},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42796558141708374},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.4248265027999878},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3805280327796936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21407464146614075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16041186451911926},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1343955099582672},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07656067609786987},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00498-019-00249-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00498-019-00249-4","pdf_url":null,"source":{"id":"https://openalex.org/S88345224","display_name":"Mathematics of Control Signals and Systems","issn_l":"0932-4194","issn":["0932-4194","1435-568X"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Control, Signals, and Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1802.07759","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.07759","pdf_url":"https://arxiv.org/pdf/1802.07759","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:dsapce.library.iitb.ac.in:100/25902","is_oa":false,"landing_page_url":"http://dspace.library.iitb.ac.in/xmlui/handle/100/25902","pdf_url":null,"source":{"id":"https://openalex.org/S4306400899","display_name":"DSpace (IIT Bombay)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162827531","host_organization_name":"Indian Institute of Technology Bombay","host_organization_lineage":["https://openalex.org/I162827531"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1802.07759","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.07759","pdf_url":"https://arxiv.org/pdf/1802.07759","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2733368763","display_name":null,"funder_award_id":"RD/0115-DST0000-096","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G3609295902","display_name":null,"funder_award_id":"IFC/DST-Inria-2016-01/448","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W594357522","https://openalex.org/W1028716870","https://openalex.org/W1501203061","https://openalex.org/W1515569264","https://openalex.org/W1537842733","https://openalex.org/W1541269238","https://openalex.org/W1555711139","https://openalex.org/W1567414581","https://openalex.org/W1966308386","https://openalex.org/W1967954124","https://openalex.org/W1971289843","https://openalex.org/W1975973957","https://openalex.org/W1976738682","https://openalex.org/W1987189587","https://openalex.org/W1988702251","https://openalex.org/W1991238514","https://openalex.org/W1994616650","https://openalex.org/W2003163868","https://openalex.org/W2019544144","https://openalex.org/W2037543706","https://openalex.org/W2050725932","https://openalex.org/W2051526898","https://openalex.org/W2061412229","https://openalex.org/W2071983464","https://openalex.org/W2073361327","https://openalex.org/W2075645768","https://openalex.org/W2087594471","https://openalex.org/W2087672058","https://openalex.org/W2104811490","https://openalex.org/W2109035688","https://openalex.org/W2112971812","https://openalex.org/W2125812768","https://openalex.org/W2145708596","https://openalex.org/W2155487796","https://openalex.org/W2159930037","https://openalex.org/W2161141257","https://openalex.org/W2164022410","https://openalex.org/W2164438483","https://openalex.org/W2175964861","https://openalex.org/W2195244501","https://openalex.org/W2247602753","https://openalex.org/W2276071760","https://openalex.org/W2492766244","https://openalex.org/W2529554499","https://openalex.org/W2531891978","https://openalex.org/W2570201534","https://openalex.org/W2584405968","https://openalex.org/W2602600938","https://openalex.org/W2798579099","https://openalex.org/W2798888671","https://openalex.org/W2893647991","https://openalex.org/W2950882283","https://openalex.org/W2963982097","https://openalex.org/W2964258803","https://openalex.org/W3101307053","https://openalex.org/W3185903058","https://openalex.org/W4238021444","https://openalex.org/W4243772471","https://openalex.org/W4247879929","https://openalex.org/W4250838770","https://openalex.org/W4252952105","https://openalex.org/W4256203403","https://openalex.org/W4302033506","https://openalex.org/W4391410851"],"related_works":["https://openalex.org/W2900325930","https://openalex.org/W2996812256","https://openalex.org/W2525543468","https://openalex.org/W2026490863","https://openalex.org/W1996877595","https://openalex.org/W2366743900","https://openalex.org/W2389929639","https://openalex.org/W2369313712","https://openalex.org/W2380496977","https://openalex.org/W2351548249"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-03-11T00:00:00"}
