{"id":"https://openalex.org/W1987600269","doi":"https://doi.org/10.1109/cdc.2013.6760841","title":"Least squares estimates and the coverage of least squares costs","display_name":"Least squares estimates and the coverage of least squares costs","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W1987600269","doi":"https://doi.org/10.1109/cdc.2013.6760841","mag":"1987600269"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5041504448","display_name":"Algo Car\u00e8","orcid":"https://orcid.org/0000-0002-5658-8988"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Algo Care","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italia","Dipt. di Ing. dell'Inf., Univ. di Brescia, Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italia","institution_ids":["https://openalex.org/I79940851"]},{"raw_affiliation_string":"Dipt. di Ing. dell'Inf., Univ. di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080248970","display_name":"Simone Garatti","orcid":"https://orcid.org/0000-0002-5451-6892"},"institutions":[{"id":"https://openalex.org/I4210139705","display_name":"Ingegneria dei Sistemi (Italy)","ror":"https://ror.org/03spsm219","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210139705"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Simone Garatti","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italia","Dipt. di Elettron., Inf. e Bioingegneria, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Milano, Italia","institution_ids":[]},{"raw_affiliation_string":"Dipt. di Elettron., Inf. e Bioingegneria, Milan, Italy","institution_ids":["https://openalex.org/I4210139705"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068752903","display_name":"Marco C. Campi","orcid":"https://orcid.org/0000-0002-5209-3312"},"institutions":[{"id":"https://openalex.org/I79940851","display_name":"University of Brescia","ror":"https://ror.org/02q2d2610","country_code":"IT","type":"education","lineage":["https://openalex.org/I79940851"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco C. Campi","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italia","Dipt. di Ing. dell'Inf., Univ. di Brescia, Brescia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Brescia, Brescia, Italia","institution_ids":["https://openalex.org/I79940851"]},{"raw_affiliation_string":"Dipt. di Ing. dell'Inf., Univ. di Brescia, Brescia, Italy","institution_ids":["https://openalex.org/I79940851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3527,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61266605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"6025","last_page":"6030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/computer-science","display_name":"Computer science","score":0.40287014842033386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39272159337997437},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.33863821625709534}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40287014842033386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39272159337997437},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.33863821625709534}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2013.6760841","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unibs.it:11379/501556","is_oa":false,"landing_page_url":"http://hdl.handle.net/11379/501556","pdf_url":null,"source":{"id":"https://openalex.org/S4306400804","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Brescia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W178056938","https://openalex.org/W391578156","https://openalex.org/W1480376833","https://openalex.org/W1522531528","https://openalex.org/W1585638233","https://openalex.org/W1965324089","https://openalex.org/W1974201025","https://openalex.org/W1976466849","https://openalex.org/W1987600269","https://openalex.org/W1991235533","https://openalex.org/W2002362019","https://openalex.org/W2047489298","https://openalex.org/W2048679451","https://openalex.org/W2058232556","https://openalex.org/W2065595207","https://openalex.org/W2066778083","https://openalex.org/W2107825213","https://openalex.org/W2122759946","https://openalex.org/W2125107769","https://openalex.org/W2167412190","https://openalex.org/W2174883827","https://openalex.org/W2488349373","https://openalex.org/W2491360013","https://openalex.org/W2610857016","https://openalex.org/W2787894218","https://openalex.org/W3212877690","https://openalex.org/W4213040019","https://openalex.org/W4231426332","https://openalex.org/W4237986390","https://openalex.org/W4243923642","https://openalex.org/W4302561155"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"The":[0],"least":[1],"squares":[2],"estimate":[3],"x\u0302":[4,35,47],"<sub":[5,23,28,36,44,48,52,78,105,110],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,24,29,37,45,49,53,57,79,83,106,111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sub>":[7,38,50,80],"minimizes":[8],"the":[9,12,40,61,65,71,75,98,102,131,135,146,155,163,168,179],"sum":[10],"of":[11,20,74,93,130],"squared":[13,41],"residuals":[14,42],"equation":[15],"over":[16],"a":[17,127,160],"finite":[18],"set":[19,120],"observations":[21,103,164],"(A":[22,104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</sub>":[25,30,46,54,107,112],",":[26,39,108],"b":[27,109],").":[31,113],"At":[32],"x":[33],"=":[34],"\u2225A":[43],"-b":[51],"\u2225":[55],"<sup":[56,82],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[58,84],"are":[59,143,151,157,165],"called":[60,152],"\u201cempirical":[62],"costs\u201d.":[63],"Intuitively,":[64],"empirical":[66,147],"costs":[67],"carry":[68],"information":[69],"on":[70,121],"probability":[72,181],"distribution":[73],"cost":[76,136],"\u2225Ax\u0302":[77],"-b\u2225":[81],"that":[85,142,174],"is":[86,119,170,185],"paid":[87],"for":[88,182],"other,":[89],"yet":[90],"unseen,":[91],"values":[92],"(A,":[94,183],"b)":[95,184],"taken":[96],"from":[97,145],"same":[99],"population":[100],"as":[101],"In":[114],"this":[115,117],"work,":[116],"intuition":[118],"solid":[122],"theoretical":[123],"grounds.":[124],"We":[125],"provide":[126],"precise":[128],"characterization":[129],"probabilities":[132,150],"with":[133],"which":[134],"does":[137],"not":[138],"exceed":[139],"certain":[140],"thresholds":[141],"constructed":[144],"costs.":[148],"These":[149],"\u201ccoverages\u201d.":[153],"All":[154],"results":[156],"derived":[158],"in":[159,173],"setting":[161],"where":[162],"independent,":[166],"while":[167],"framework":[169],"otherwise":[171],"\u201cagnostic\u201d":[172],"no":[175],"a-priori":[176],"assumptions":[177],"about":[178],"underlying":[180],"made.":[186]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
