{"id":"https://openalex.org/W2519868173","doi":"https://doi.org/10.1080/03610918.2015.1096373","title":"Stochastic estimates for the trace of functions of matrices via Hadamard matrices","display_name":"Stochastic estimates for the trace of functions of matrices via Hadamard matrices","publication_year":2015,"publication_date":"2015-12-07","ids":{"openalex":"https://openalex.org/W2519868173","doi":"https://doi.org/10.1080/03610918.2015.1096373","mag":"2519868173"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2015.1096373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1096373","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-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/A5001559897","display_name":"Paraskevi Fika","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Paraskevi Fika","raw_affiliation_strings":["Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001849682","display_name":"Christos Koukouvinos","orcid":"https://orcid.org/0000-0003-1907-2031"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Christos Koukouvinos","raw_affiliation_strings":["Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Technical University of Athens, Zografou, Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5001849682"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":null,"apc_paid":null,"fwci":0.5831,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73860507,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11797","display_name":"graph theory and CDMA systems","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9728999733924866,"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/trace","display_name":"TRACE (psycholinguistics)","score":0.7579492330551147},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.7422018647193909},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.7344609498977661},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.7083711624145508},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6244171857833862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5966259241104126},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5241770148277283},{"id":"https://openalex.org/keywords/hadamard-product","display_name":"Hadamard product","score":0.46447670459747314},{"id":"https://openalex.org/keywords/hadamards-maximal-determinant-problem","display_name":"Hadamard's maximal determinant problem","score":0.4368899464607239},{"id":"https://openalex.org/keywords/sample-mean-and-sample-covariance","display_name":"Sample mean and sample covariance","score":0.4305289089679718},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41321861743927},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35103100538253784},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25272607803344727},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19072049856185913},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10708951950073242},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07438230514526367}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7579492330551147},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.7422018647193909},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.7344609498977661},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.7083711624145508},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6244171857833862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5966259241104126},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5241770148277283},{"id":"https://openalex.org/C90230998","wikidata":"https://www.wikidata.org/wiki/Q3406746","display_name":"Hadamard product","level":3,"score":0.46447670459747314},{"id":"https://openalex.org/C121334634","wikidata":"https://www.wikidata.org/wiki/Q5637579","display_name":"Hadamard's maximal determinant problem","level":5,"score":0.4368899464607239},{"id":"https://openalex.org/C181243257","wikidata":"https://www.wikidata.org/wiki/Q1693522","display_name":"Sample mean and sample covariance","level":3,"score":0.4305289089679718},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41321861743927},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35103100538253784},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25272607803344727},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19072049856185913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10708951950073242},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07438230514526367},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2015.1096373","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2015.1096373","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323294","display_name":"Foundation for Education and European Culture","ror":"https://ror.org/03hvemf42"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W105839681","https://openalex.org/W200741540","https://openalex.org/W401986301","https://openalex.org/W603018635","https://openalex.org/W1483804921","https://openalex.org/W1965258535","https://openalex.org/W1990457366","https://openalex.org/W2016170913","https://openalex.org/W2034594981","https://openalex.org/W2057450058","https://openalex.org/W2082479178","https://openalex.org/W2083513696","https://openalex.org/W2108214478","https://openalex.org/W2137636417","https://openalex.org/W2139873872","https://openalex.org/W2187960357","https://openalex.org/W2217466820","https://openalex.org/W2964321151","https://openalex.org/W3144983105","https://openalex.org/W4244155866"],"related_works":["https://openalex.org/W2355675451","https://openalex.org/W2138472192","https://openalex.org/W2026768906","https://openalex.org/W2124522323","https://openalex.org/W1976224891","https://openalex.org/W1520310287","https://openalex.org/W2072949187","https://openalex.org/W817253933","https://openalex.org/W3160788939","https://openalex.org/W4297817872"],"abstract_inverted_index":{"Let":[0],"be":[1],"a":[2,18,43,60,95],"symmetric":[3],"matrix.":[4],"Stochastic":[5],"estimates":[6],"have":[7],"been":[8],"introduced":[9],"in":[10],"the":[11,15,21,26,30,40,50,53,57,66,69,73,76,89,100,103],"literature":[12],"for":[13,72,99],"estimating":[14],"trace":[16],"of":[17,20,29,42,52,59,68,75,91,102],"function":[19],"matrix":[22,45,62,78,105],"A":[23],"by":[24],"computing":[25],"mean":[27],"value":[28],"quantities":[31],"xTif(A)xi,":[32],"where":[33],"xi":[34,55],"are":[35],"appropriate":[36],"sample":[37,44,77,104],"vectors":[38,54],"forming":[39],"columns":[41,58],"X.":[46],"In":[47,87],"this":[48],"work,":[49],"selection":[51],"from":[56],"Hadamard":[61,70,92],"is":[63,80,107],"discussed":[64],"and":[65,82],"employment":[67],"matrices":[71,93],"construction":[74,101],"X":[79,106],"studied":[81],"tested":[83],"throughout":[84],"several":[85],"experiments.":[86],"addition,":[88],"combination":[90],"with":[94],"central-composite":[96],"design":[97],"(CCD)":[98],"introduced.":[108]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}