{"id":"https://openalex.org/W4294691572","doi":"https://doi.org/10.1109/tit.2022.3204355","title":"Random or Nonrandom Signal in High-Dimensional Regimes","display_name":"Random or Nonrandom Signal in High-Dimensional Regimes","publication_year":2022,"publication_date":"2022-09-05","ids":{"openalex":"https://openalex.org/W4294691572","doi":"https://doi.org/10.1109/tit.2022.3204355"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3204355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3204355","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5100449909","display_name":"Yiming Liu","orcid":"https://orcid.org/0000-0002-3208-9877"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yiming Liu","raw_affiliation_strings":["Department of Statistics, School of Economics, Jinan University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, School of Economics, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007832415","display_name":"Ying\u2010Chang Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I3018263800","display_name":"Huzhou University","ror":"https://ror.org/04mvpxy20","country_code":"CN","type":"education","lineage":["https://openalex.org/I3018263800"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying-Chang Liang","raw_affiliation_strings":["Center for Intelligent Networking and Communications (CINC), University of Electronic Science and Technology of China (UESTC), Chengdu, China","Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou, China"],"affiliations":[{"raw_affiliation_string":"Center for Intelligent Networking and Communications (CINC), University of Electronic Science and Technology of China (UESTC), Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou, China","institution_ids":["https://openalex.org/I3018263800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018386336","display_name":"Guangming Pan","orcid":"https://orcid.org/0000-0002-9807-1178"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Guangming Pan","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Jurong West, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Jurong West, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100626933","display_name":"Zhi-Xiang Zhang","orcid":"https://orcid.org/0000-0002-2419-6875"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zhixiang Zhang","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Jurong West, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Jurong West, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100449909"],"corresponding_institution_ids":["https://openalex.org/I159948400"],"apc_list":null,"apc_paid":null,"fwci":0.74,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72427184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"1","first_page":"298","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9927999973297119,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.6436038613319397},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.623919665813446},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5681055784225464},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5675597786903381},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.559481143951416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5523220896720886},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.5353719592094421},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5271764993667603},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5206307768821716},{"id":"https://openalex.org/keywords/cyclostationary-process","display_name":"Cyclostationary process","score":0.4925468862056732},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4875304400920868},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.43761885166168213},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4171648323535919},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.39749616384506226},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38833802938461304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3697974681854248},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20517176389694214},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08885109424591064}],"concepts":[{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.6436038613319397},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.623919665813446},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5681055784225464},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5675597786903381},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.559481143951416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5523220896720886},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.5353719592094421},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5271764993667603},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5206307768821716},{"id":"https://openalex.org/C178351263","wikidata":"https://www.wikidata.org/wiki/Q3922399","display_name":"Cyclostationary process","level":3,"score":0.4925468862056732},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4875304400920868},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.43761885166168213},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4171648323535919},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.39749616384506226},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38833802938461304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3697974681854248},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20517176389694214},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08885109424591064},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3204355","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3204355","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1050289048","display_name":null,"funder_award_id":"2022M711342","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G1418244083","display_name":null,"funder_award_id":"U1801261","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3738287161","display_name":null,"funder_award_id":"2018YFB1801105","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4517290006","display_name":null,"funder_award_id":"B20064","funder_id":"https://openalex.org/F4320335785","funder_display_name":"Project 211"},{"id":"https://openalex.org/G5609797358","display_name":null,"funder_award_id":"21BTJ030","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7000009495","display_name":null,"funder_award_id":"61631005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7576054145","display_name":null,"funder_award_id":"MOE2018-T2-2-112","funder_id":"https://openalex.org/F4320311687","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G7763006810","display_name":null,"funder_award_id":"ZYGX2019Z022","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320311687","display_name":"Ministry of Education","ror":"https://ror.org/03m01yf64"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335785","display_name":"Project 211","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1482572935","https://openalex.org/W1586554030","https://openalex.org/W1901790663","https://openalex.org/W1960920821","https://openalex.org/W1965748679","https://openalex.org/W1969097180","https://openalex.org/W1970576574","https://openalex.org/W1971523416","https://openalex.org/W1981874544","https://openalex.org/W1995703368","https://openalex.org/W1997834106","https://openalex.org/W2005553562","https://openalex.org/W2017262500","https://openalex.org/W2078966899","https://openalex.org/W2079985400","https://openalex.org/W2091717040","https://openalex.org/W2098502158","https://openalex.org/W2106495366","https://openalex.org/W2109378630","https://openalex.org/W2111811190","https://openalex.org/W2113387206","https://openalex.org/W2119000519","https://openalex.org/W2119137700","https://openalex.org/W2130693290","https://openalex.org/W2132657058","https://openalex.org/W2140455169","https://openalex.org/W2148541040","https://openalex.org/W2149903352","https://openalex.org/W2162491638","https://openalex.org/W2164955529","https://openalex.org/W2165903157","https://openalex.org/W2890952928","https://openalex.org/W2951642911","https://openalex.org/W2962723202","https://openalex.org/W2962946304","https://openalex.org/W2963270653","https://openalex.org/W2963975913","https://openalex.org/W3006143078","https://openalex.org/W3042668581","https://openalex.org/W3084542906","https://openalex.org/W3101562111","https://openalex.org/W3101939483","https://openalex.org/W3166911968","https://openalex.org/W4234585325"],"related_works":["https://openalex.org/W943561131","https://openalex.org/W1490820195","https://openalex.org/W2360821999","https://openalex.org/W2364216765","https://openalex.org/W2533983735","https://openalex.org/W2002970502","https://openalex.org/W2363371188","https://openalex.org/W2358225852","https://openalex.org/W2492622281","https://openalex.org/W2397904024"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,21,28,104],"new":[4],"hypothesis":[5],"test":[6],"to":[7,30,42],"check":[8],"the":[9,14,33,44,47,65,68,73,87],"randomness":[10],"and":[11,75,80,89],"nonrandomness":[12],"of":[13,46,67,72,84,86,106],"contaminated":[15],"high":[16],"dimensional":[17],"signal.":[18],"Specifically,":[19],"for":[20,56],"signal":[22,35,57],"plus":[23,58],"noise":[24,59],"model,":[25],"we":[26,50],"propose":[27],"statistic":[29],"distinguish":[31],"whether":[32],"corresponding":[34],"is":[36],"random":[37],"or":[38],"not.":[39],"In":[40],"order":[41],"analyze":[43],"performance":[45],"proposed":[48,99],"method,":[49],"also":[51],"prove":[52],"two":[53],"important":[54],"results":[55],"models:":[60],"1)":[61],"No":[62],"eigenvalues":[63,85],"outside":[64],"support":[66],"limiting":[69],"spectral":[70],"distribution":[71],"noncentered":[74,88],"centered":[76,90],"sample":[77,91],"covariance":[78,92],"matrix;":[79],"2)":[81],"Exact":[82],"separation":[83],"matrix.":[93],"Simulation":[94],"studies":[95],"demonstrate":[96],"that":[97],"our":[98],"method":[100],"works":[101],"well":[102],"under":[103],"variety":[105],"settings.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}