{"id":"https://openalex.org/W4404037578","doi":"https://doi.org/10.1109/mlsp58920.2024.10734774","title":"A $\\mathbb{T} -\\text{Proper}$ Karhunen-Loeve Expansion and its Application to the Problem of Simulation","display_name":"A $\\mathbb{T} -\\text{Proper}$ Karhunen-Loeve Expansion and its Application to the Problem of Simulation","publication_year":2024,"publication_date":"2024-09-22","ids":{"openalex":"https://openalex.org/W4404037578","doi":"https://doi.org/10.1109/mlsp58920.2024.10734774"},"language":"en","primary_location":{"id":"doi:10.1109/mlsp58920.2024.10734774","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mlsp58920.2024.10734774","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP)","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/A5057000989","display_name":"Rosa M. Fern\u00e1ndez-Alcal\u00e1","orcid":"https://orcid.org/0000-0002-3329-6624"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. M. Fern\u00e1ndez-Alcal\u00e1","raw_affiliation_strings":["University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain"],"affiliations":[{"raw_affiliation_string":"University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088678","display_name":"Jes\u00fas Navarro-Moreno","orcid":"https://orcid.org/0000-0002-8417-8505"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Navarro-Moreno","raw_affiliation_strings":["University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain"],"affiliations":[{"raw_affiliation_string":"University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087009747","display_name":"Jos\u00e9 D. Jim\u00e9nez-L\u00f3pez","orcid":"https://orcid.org/0000-0003-1263-5508"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. D. Jim\u00e9nez-L\u00f3pez","raw_affiliation_strings":["University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain"],"affiliations":[{"raw_affiliation_string":"University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031967121","display_name":"Clive Cheong-Took","orcid":null},"institutions":[{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Cheong-Took","raw_affiliation_strings":["Royal Holloway, University of London,Department of Electronic Engineering,UK"],"affiliations":[{"raw_affiliation_string":"Royal Holloway, University of London,Department of Electronic Engineering,UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007153754","display_name":"Juan Carlos Ruiz-Molina","orcid":"https://orcid.org/0000-0002-3128-8030"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. C. Ruiz-Molina","raw_affiliation_strings":["University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain"],"affiliations":[{"raw_affiliation_string":"University of Ja&#x00E9;n,Department of Statistics and Operations Research,Spain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5057000989"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33379425,"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/T13234","display_name":"advanced mathematical theories","score":0.958299994468689,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13234","display_name":"advanced mathematical theories","score":0.958299994468689,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9569000005722046,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9505000114440918,"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/karhunen\u2013lo\u00e8ve-theorem","display_name":"Karhunen\u2013Lo\u00e8ve theorem","score":0.8679248094558716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5792511701583862},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3900662362575531},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3815966844558716},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35091519355773926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2846282720565796}],"concepts":[{"id":"https://openalex.org/C109308471","wikidata":"https://www.wikidata.org/wiki/Q2046647","display_name":"Karhunen\u2013Lo\u00e8ve theorem","level":2,"score":0.8679248094558716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5792511701583862},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3900662362575531},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3815966844558716},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35091519355773926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2846282720565796}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mlsp58920.2024.10734774","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/mlsp58920.2024.10734774","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 34th International Workshop on Machine Learning for Signal Processing (MLSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6040145802","display_name":null,"funder_award_id":"PID2021-124486NB-I00,MICIU/AEI/10.13039/501100011033","funder_id":"https://openalex.org/F4320309381","funder_display_name":"Emory University"}],"funders":[{"id":"https://openalex.org/F4320309381","display_name":"Emory University","ror":"https://ror.org/03czfpz43"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1490131134","https://openalex.org/W1965263802","https://openalex.org/W2062144489","https://openalex.org/W2069222481","https://openalex.org/W2080908214","https://openalex.org/W2114765937","https://openalex.org/W2122991641","https://openalex.org/W2468795670","https://openalex.org/W2769884427","https://openalex.org/W2884747833","https://openalex.org/W2949437887","https://openalex.org/W2969940319","https://openalex.org/W3010137181","https://openalex.org/W3047932858","https://openalex.org/W3126374782","https://openalex.org/W4283463918","https://openalex.org/W4382203173","https://openalex.org/W4388646274"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W417204388","https://openalex.org/W187821709","https://openalex.org/W1963647550","https://openalex.org/W2730780850","https://openalex.org/W2780196095","https://openalex.org/W2724312960","https://openalex.org/W2574476892"],"abstract_inverted_index":{"The":[0],"paper":[1],"addresses":[2],"the":[3,8,24,70,73],"Karhunen-Lo\u00e9ve":[4],"series":[5,50],"representation":[6,32,51],"in":[7],"tessarine":[9,16],"domain.":[10],"Based":[11],"on":[12,30],"augmented":[13],"statistics,":[14],"a":[15,37,45,54],"widely":[17],"linear":[18],"Karhunen-Lo\u00e8ve":[19,41],"expansion":[20,42],"is":[21,33,77],"defined.":[22],"Then,":[23],"impact":[25],"of":[26,72],"<tex":[27,38],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28,39],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathbb{T}$</tex>-properness":[29],"this":[31,49],"analyzed,":[34],"leading":[35],"to":[36],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathbb{T}$</tex>-proper":[40],"that":[43],"means":[44],"dimensionality":[46],"reduction.":[47],"Furthermore,":[48],"serves":[52],"as":[53],"versatile":[55],"simulation":[56,74],"tool,":[57],"valid":[58],"for":[59],"both":[60],"stationary":[61],"and":[62,65],"non-stationary,":[63],"Gaussian":[64],"non-Gaussian":[66],"random":[67],"signals.":[68],"Finally,":[69],"applicability":[71],"technique":[75],"proposed":[76],"examined":[78],"numerically.":[79]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
