{"id":"https://openalex.org/W2127414027","doi":"https://doi.org/10.1155/2012/926358","title":"Hyperspherical Manifold for EEG Signals of Epileptic Seizures","display_name":"Hyperspherical Manifold for EEG Signals of Epileptic Seizures","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2127414027","doi":"https://doi.org/10.1155/2012/926358","mag":"2127414027"},"language":"en","primary_location":{"id":"doi:10.1155/2012/926358","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/926358","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/926358.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/926358.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060404379","display_name":"Tahir Ahmad","orcid":"https://orcid.org/0000-0003-2675-7952"},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Tahir Ahmad","raw_affiliation_strings":["Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia","Department of Mathematical Sciences"],"affiliations":[{"raw_affiliation_string":"Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia","institution_ids":["https://openalex.org/I4576418"]},{"raw_affiliation_string":"Department of Mathematical Sciences","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025168514","display_name":"Vinod Ramachandran","orcid":"https://orcid.org/0000-0002-9369-1239"},"institutions":[{"id":"https://openalex.org/I4576418","display_name":"University of Technology Malaysia","ror":"https://ror.org/026w31v75","country_code":"MY","type":"education","lineage":["https://openalex.org/I4576418"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Vinod Ramachandran","raw_affiliation_strings":["Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia","UniversitI Teknologi Malaysia"],"affiliations":[{"raw_affiliation_string":"Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia","institution_ids":["https://openalex.org/I4576418"]},{"raw_affiliation_string":"UniversitI Teknologi Malaysia","institution_ids":["https://openalex.org/I4576418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060404379"],"corresponding_institution_ids":["https://openalex.org/I4576418"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.1345,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.53623985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9793000221252441,"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/manifold","display_name":"Manifold (fluid mechanics)","score":0.7093155384063721},{"id":"https://openalex.org/keywords/electroencephalography","display_name":"Electroencephalography","score":0.7038722038269043},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6874511241912842},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.675570011138916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.53641676902771},{"id":"https://openalex.org/keywords/epileptic-seizure","display_name":"Epileptic seizure","score":0.5202959179878235},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.48329809308052063},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.48195120692253113},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.4550411105155945},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4505782425403595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39812031388282776},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.2507787346839905},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.18717214465141296},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.1437869668006897},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.12542939186096191},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.09352678060531616}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.7093155384063721},{"id":"https://openalex.org/C522805319","wikidata":"https://www.wikidata.org/wiki/Q179965","display_name":"Electroencephalography","level":2,"score":0.7038722038269043},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6874511241912842},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.675570011138916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.53641676902771},{"id":"https://openalex.org/C2779334592","wikidata":"https://www.wikidata.org/wiki/Q6279182","display_name":"Epileptic seizure","level":3,"score":0.5202959179878235},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.48329809308052063},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.48195120692253113},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.4550411105155945},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4505782425403595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39812031388282776},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.2507787346839905},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.18717214465141296},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.1437869668006897},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.12542939186096191},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.09352678060531616},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/926358","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/926358","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/926358.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495232","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495232","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:926358","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/926358.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:1502184cd2944b22bea676c1072611a3","is_oa":true,"landing_page_url":"https://doaj.org/article/1502184cd2944b22bea676c1072611a3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/926358","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/926358","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/926358.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321992","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Inova\u00e7\u00e3o","ror":"https://ror.org/050zdnc69"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2127414027.pdf","grobid_xml":"https://content.openalex.org/works/W2127414027.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W21683520","https://openalex.org/W628898729","https://openalex.org/W655267970","https://openalex.org/W1482160971","https://openalex.org/W1504510381","https://openalex.org/W1513052367","https://openalex.org/W1573082642","https://openalex.org/W1586692934","https://openalex.org/W1966802112","https://openalex.org/W1975669925","https://openalex.org/W1979070273","https://openalex.org/W1979819271","https://openalex.org/W1980066605","https://openalex.org/W1991801921","https://openalex.org/W2003409024","https://openalex.org/W2004274357","https://openalex.org/W2004481850","https://openalex.org/W2007919714","https://openalex.org/W2010395789","https://openalex.org/W2016371147","https://openalex.org/W2023360438","https://openalex.org/W2025059256","https://openalex.org/W2029192201","https://openalex.org/W2035254988","https://openalex.org/W2041317503","https://openalex.org/W2048372336","https://openalex.org/W2067138351","https://openalex.org/W2069671647","https://openalex.org/W2072149862","https://openalex.org/W2074942081","https://openalex.org/W2075713787","https://openalex.org/W2076238138","https://openalex.org/W2082921893","https://openalex.org/W2084671524","https://openalex.org/W2088222765","https://openalex.org/W2101117375","https://openalex.org/W2129828248","https://openalex.org/W2135874888","https://openalex.org/W2145001205","https://openalex.org/W2148799153","https://openalex.org/W2155143074","https://openalex.org/W2183859495","https://openalex.org/W2611159029","https://openalex.org/W3142026388","https://openalex.org/W3146195181","https://openalex.org/W4210280599","https://openalex.org/W4229633200","https://openalex.org/W4230450987","https://openalex.org/W4300827817"],"related_works":["https://openalex.org/W117517268","https://openalex.org/W2383239174","https://openalex.org/W2362829263","https://openalex.org/W3159953198","https://openalex.org/W49725993","https://openalex.org/W2380477800","https://openalex.org/W2347974653","https://openalex.org/W2766342722","https://openalex.org/W2380996235","https://openalex.org/W2573981081"],"abstract_inverted_index":{"The":[0,143],"mathematical":[1],"modelling":[2],"of":[3,6,50,78,97,103,128,135,145],"EEG":[4,69,79],"signals":[5,147],"epileptic":[7,85],"seizures":[8,39,86,136],"presents":[9],"a":[10,27,30,63,129,155],"challenge":[11],"as":[12],"seizure":[13,146],"data":[14,52,70,80,124],"is":[15,87,118,151],"erratic,":[16],"often":[17],"with":[18],"no":[19],"visible":[20],"trend.":[21],"Limitations":[22],"in":[23,94,101],"existing":[24],"models":[25],"indicate":[26],"need":[28,42],"for":[29,43],"generalized":[31],"model":[32],"that":[33,67,106],"can":[34],"be":[35,154],"used":[36],"to":[37,54,61,108,120,153,161],"analyze":[38],"without":[40,71],"the":[41,48,90,104,113,122,126,133,149],"apriori":[44],"information,":[45],"whilst":[46],"minimizing":[47],"loss":[49],"signal":[51],"due":[53],"smoothing.":[55],"This":[56],"paper":[57],"utilizes":[58],"measure":[59,66,123],"theory":[60],"design":[62],"discrete":[64],"probability":[65],"reformats":[68],"altering":[72],"its":[73],"geometric":[74],"structure.":[75],"An":[76],"analysis":[77,134],"from":[81],"three":[82],"patients":[83],"experiencing":[84],"made":[88],"using":[89,137],"developed":[91],"measure,":[92],"resulting":[93],"successful":[95],"identification":[96],"increased":[98],"potential":[99],"difference":[100],"portions":[102],"brain":[105],"correspond":[107],"physical":[109],"symptoms":[110],"demonstrated":[111],"by":[112],"patients.":[114],"A":[115],"mapping":[116],"then":[117],"devised":[119],"transport":[121],"onto":[125],"surface":[127],"high\u2010dimensional":[130],"manifold,":[131],"enabling":[132],"directional":[138],"statistics":[139],"and":[140],"manifold":[141,150],"theory.":[142],"subset":[144],"on":[148],"shown":[152],"topological":[156,163],"space,":[157],"verifying":[158],"Ahmad\u2032s":[159],"approach":[160],"use":[162],"modelling.":[164]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}