{"id":"https://openalex.org/W4319829691","doi":"https://doi.org/10.1080/03610918.2023.2170409","title":"On clustering of periodically correlated processes based on Hilbert-Schmidt inner product of Fourier transforms","display_name":"On clustering of periodically correlated processes based on Hilbert-Schmidt inner product of Fourier transforms","publication_year":2023,"publication_date":"2023-01-24","ids":{"openalex":"https://openalex.org/W4319829691","doi":"https://doi.org/10.1080/03610918.2023.2170409"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2023.2170409","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2170409","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/A5023167073","display_name":"Farzad Najafiamiri","orcid":null},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Farzad Najafiamiri","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078651460","display_name":"Mahnaz Khalafi","orcid":"https://orcid.org/0000-0001-8458-0943"},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mahnaz Khalafi","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068258799","display_name":"Masoud Golalipour","orcid":"https://orcid.org/0000-0002-3429-5519"},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]},{"id":"https://openalex.org/I4210127922","display_name":"Golestan University of Medical Sciences","ror":"https://ror.org/03mcx2558","country_code":"IR","type":"education","lineage":["https://openalex.org/I4210127922"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Masoud Golalipour","raw_affiliation_strings":["Medical Cellular and Molecular Research Center, Golestan University of Medical Sciences, Gorgan, Iran"],"affiliations":[{"raw_affiliation_string":"Medical Cellular and Molecular Research Center, Golestan University of Medical Sciences, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322","https://openalex.org/I4210127922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103101709","display_name":"Majid Azimmohseni","orcid":"https://orcid.org/0000-0002-6378-2113"},"institutions":[{"id":"https://openalex.org/I198873322","display_name":"Golestan University","ror":"https://ror.org/046nf9z89","country_code":"IR","type":"education","lineage":["https://openalex.org/I198873322"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Majid Azimmohseni","raw_affiliation_strings":["Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Science, Golestan University, Gorgan, Iran","institution_ids":["https://openalex.org/I198873322"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078651460"],"corresponding_institution_ids":["https://openalex.org/I198873322"],"apc_list":null,"apc_paid":null,"fwci":0.1748,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51044189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"53","issue":"10","first_page":"5028","last_page":"5046"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9577000141143799,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9575999975204468,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9484999775886536,"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/cluster-analysis","display_name":"Cluster analysis","score":0.8216919898986816},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.6431090831756592},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5993484258651733},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.50809645652771},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.49854159355163574},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4569639563560486},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44763100147247314},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44639620184898376},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.41941919922828674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39883214235305786},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36896973848342896},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2676810324192047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18616268038749695}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.8216919898986816},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.6431090831756592},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5993484258651733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.50809645652771},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.49854159355163574},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4569639563560486},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44763100147247314},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44639620184898376},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.41941919922828674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39883214235305786},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36896973848342896},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2676810324192047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18616268038749695},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2023.2170409","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2170409","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1544274373","https://openalex.org/W1892347395","https://openalex.org/W1980645251","https://openalex.org/W1986316936","https://openalex.org/W1995107427","https://openalex.org/W1995245587","https://openalex.org/W1996794795","https://openalex.org/W2032185337","https://openalex.org/W2032190020","https://openalex.org/W2045681526","https://openalex.org/W2056395995","https://openalex.org/W2070919512","https://openalex.org/W2097747115","https://openalex.org/W2098443537","https://openalex.org/W2100008374","https://openalex.org/W2105712639","https://openalex.org/W2128340703","https://openalex.org/W2134179844","https://openalex.org/W2134483716","https://openalex.org/W2143287534","https://openalex.org/W2145979309","https://openalex.org/W2146028646","https://openalex.org/W2152813726","https://openalex.org/W2163856173","https://openalex.org/W2163899311","https://openalex.org/W2164222385","https://openalex.org/W2167325131","https://openalex.org/W2179534833","https://openalex.org/W2188193460","https://openalex.org/W2312610496","https://openalex.org/W2401884003","https://openalex.org/W2503267194","https://openalex.org/W2523071209","https://openalex.org/W2615326604","https://openalex.org/W2950612984","https://openalex.org/W2963503333"],"related_works":["https://openalex.org/W2804364458","https://openalex.org/W4298130764","https://openalex.org/W2132641928","https://openalex.org/W4310225030","https://openalex.org/W2090259340","https://openalex.org/W2083665254","https://openalex.org/W2393816671","https://openalex.org/W1534720161","https://openalex.org/W1926736923","https://openalex.org/W2804957450"],"abstract_inverted_index":{"A":[0],"wide":[1],"variety":[2],"of":[3,10,16,36,49,69,73,91],"methods":[4,42],"have":[5],"been":[6],"proposed":[7],"for":[8,14],"clustering":[9,15],"stochastic":[11,79],"processes.":[12,38,75],"However,":[13],"periodically":[17],"correlated":[18],"processes":[19,51,80],"(PC)":[20],"it":[21],"is":[22],"demanding":[23],"to":[24,46],"introduce":[25],"some":[26],"similarity":[27,62],"measures":[28,63],"that":[29],"take":[30],"into":[31],"account":[32],"the":[33,89,92],"inherent":[34],"periodicity":[35],"these":[37],"The":[39],"frequency-domain":[40],"based":[41,64],"seem":[43],"more":[44],"desirable":[45],"determine":[47],"groups":[48],"PC":[50,74],"with":[52],"similar":[53],"frequency":[54],"characterizations.":[55],"In":[56],"this":[57],"article,":[58],"we":[59,87],"present":[60],"new":[61],"on":[65,77],"Hilbert-Schmidt":[66],"inner":[67],"product":[68],"finite":[70],"Fourier":[71],"transforms":[72],"Based":[76],"simulated":[78],"and":[81],"a":[82],"real":[83],"gene":[84],"expression":[85],"dataset":[86],"illustrate":[88],"accuracy":[90],"methods.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
