{"id":"https://openalex.org/W4415367286","doi":"https://doi.org/10.1109/isit63088.2025.11195238","title":"Asymptotics of Spiked Covariance Model with Random Projection","display_name":"Asymptotics of Spiked Covariance Model with Random Projection","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415367286","doi":"https://doi.org/10.1109/isit63088.2025.11195238"},"language":"en","primary_location":{"id":"doi:10.1109/isit63088.2025.11195238","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195238","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","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/A5111247578","display_name":"Zeyan Zhuang","orcid":"https://orcid.org/0009-0003-8717-7465"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Zeyan Zhuang","raw_affiliation_strings":["The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100327619","display_name":"Xin Zhang","orcid":"https://orcid.org/0000-0003-4236-7436"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xin Zhang","raw_affiliation_strings":["The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003865839","display_name":"Dongfang Xu","orcid":"https://orcid.org/0000-0001-6562-8470"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Dongfang Xu","raw_affiliation_strings":["The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025467937","display_name":"Shenghui Song","orcid":"https://orcid.org/0000-0001-6316-8415"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Shenghui Song","raw_affiliation_strings":["The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong"],"affiliations":[{"raw_affiliation_string":"The Hong Kong University of Science and Technology,Dept. of ECE,Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111247578"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36404692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.7452999949455261,"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"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.7452999949455261,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7793999910354614},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.7276999950408936},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.718500018119812},{"id":"https://openalex.org/keywords/estimation-of-covariance-matrices","display_name":"Estimation of covariance matrices","score":0.560699999332428},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5232999920845032},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.4950000047683716},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4609000086784363},{"id":"https://openalex.org/keywords/sample-mean-and-sample-covariance","display_name":"Sample mean and sample covariance","score":0.4422000050544739},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.43650001287460327}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7793999910354614},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.7276999950408936},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.718500018119812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6988999843597412},{"id":"https://openalex.org/C180877172","wikidata":"https://www.wikidata.org/wiki/Q5401390","display_name":"Estimation of covariance matrices","level":3,"score":0.560699999332428},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5232999920845032},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4950000047683716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46299999952316284},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4609000086784363},{"id":"https://openalex.org/C181243257","wikidata":"https://www.wikidata.org/wiki/Q1693522","display_name":"Sample mean and sample covariance","level":3,"score":0.4422000050544739},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.43650001287460327},{"id":"https://openalex.org/C129759605","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance mapping","level":5,"score":0.4275999963283539},{"id":"https://openalex.org/C126372606","wikidata":"https://www.wikidata.org/wiki/Q6503511","display_name":"Law of total covariance","level":5,"score":0.4081000089645386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3921000063419342},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3824000060558319},{"id":"https://openalex.org/C137250428","wikidata":"https://www.wikidata.org/wiki/Q5178897","display_name":"Covariance function","level":3,"score":0.3538999855518341},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C148893098","wikidata":"https://www.wikidata.org/wiki/Q7295778","display_name":"Rational quadratic covariance function","level":5,"score":0.32760000228881836},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.3228999972343445},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.3095000088214874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2980000078678131},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.265500009059906},{"id":"https://openalex.org/C2777036070","wikidata":"https://www.wikidata.org/wiki/Q18393452","display_name":"Random projection","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit63088.2025.11195238","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195238","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-167018","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-167018","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W650759447","https://openalex.org/W1482572935","https://openalex.org/W1520752838","https://openalex.org/W1901790663","https://openalex.org/W1971523416","https://openalex.org/W1994231597","https://openalex.org/W2011892826","https://openalex.org/W2017304912","https://openalex.org/W2066459155","https://openalex.org/W2086323639","https://openalex.org/W2106084579","https://openalex.org/W2106553657","https://openalex.org/W2137924030","https://openalex.org/W2285319343","https://openalex.org/W2884552970","https://openalex.org/W2951032685","https://openalex.org/W3088225146","https://openalex.org/W3127939736","https://openalex.org/W3152110893","https://openalex.org/W3201018963","https://openalex.org/W4211192810","https://openalex.org/W4244670803","https://openalex.org/W4250954493","https://openalex.org/W4283736357","https://openalex.org/W4323076473","https://openalex.org/W4375809560","https://openalex.org/W4378469883","https://openalex.org/W4399427196","https://openalex.org/W4408861256"],"related_works":[],"abstract_inverted_index":{"The":[0],"spiked":[1,53,104],"covariance":[2,8,43,54,105],"model,":[3],"characterized":[4],"by":[5,11],"a":[6,12,16,179],"population":[7],"matrix":[9,44],"perturbed":[10],"low-rank":[13,26],"matrix,":[14],"plays":[15],"crucial":[17],"role":[18],"in":[19],"data":[20],"analysis.":[21,199],"In":[22,89],"this":[23,90],"context,":[24],"the":[25,30,35,41,49,52,82,94,97,103,113,118,125,129,134,138,144,147,155,162,166,169,174,194,197],"deformation":[27],"typically":[28],"signifies":[29],"underlying":[31],"signal":[32,156],"composition,":[33],"while":[34],"extreme":[36,98],"eigenvalues":[37,99,120],"and":[38,100,161,186],"eigenvectors":[39,101,164],"of":[40,96,102,124,128,137,146,168,196],"sample":[42],"contain":[45],"valuable":[46],"information":[47,167],"about":[48],"signal.":[50,171],"While":[51],"model":[55,106],"has":[56],"been":[57],"extensively":[58],"studied,":[59],"its":[60,188],"behavior":[61,95],"under":[62,159],"dimension":[63,74],"reduction":[64,75],"techniques,":[65],"such":[66],"as":[67,141,143],"random":[68,108],"projection,":[69,160],"remains":[70],"largely":[71],"unexplored.":[72],"These":[73],"methods":[76],"are":[77],"commonly":[78],"employed":[79],"to":[80,121],"manage":[81],"computational":[83],"complexity":[84],"associated":[85],"with":[86,107],"high-dimensional":[87],"data.":[88],"work,":[91],"we":[92,111,132,177],"study":[93],"projection.":[109],"Specifically,":[110],"identify":[112],"exact":[114],"critical":[115],"threshold":[116],"for":[117,183],"empirical":[119],"be":[122],"out":[123],"main":[126],"bulk":[127],"spectrum.":[130],"Additionally,":[131],"determine":[133],"asymptotic":[135],"positions":[136],"isolated":[139,148,163],"eigenvalues,":[140],"well":[142],"projections":[145],"eigenvectors.":[149],"It":[150],"is":[151],"quantitatively":[152],"shown":[153],"that":[154],"strength":[157],"decreases":[158],"carry":[165],"projected":[170],"Based":[172],"on":[173],"above":[175],"results,":[176],"propose":[178],"linear":[180],"detection":[181],"method":[182],"strong":[184],"signals":[185],"analyze":[187],"performance":[189],"limits.":[190],"Simulation":[191],"results":[192],"validate":[193],"accuracy":[195],"theoretical":[198]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-21T00:00:00"}