{"id":"https://openalex.org/W4402474581","doi":"https://doi.org/10.1109/ccece59415.2024.10667091","title":"Reducing the Computational Complexity of the Volterra Series Using Permutation/Product Maps","display_name":"Reducing the Computational Complexity of the Volterra Series Using Permutation/Product Maps","publication_year":2024,"publication_date":"2024-08-06","ids":{"openalex":"https://openalex.org/W4402474581","doi":"https://doi.org/10.1109/ccece59415.2024.10667091"},"language":"en","primary_location":{"id":"doi:10.1109/ccece59415.2024.10667091","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ccece59415.2024.10667091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)","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/A5108984123","display_name":"Aaron J. Fonseca","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aaron J. Fonseca","raw_affiliation_strings":["Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States"],"affiliations":[{"raw_affiliation_string":"Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076683183","display_name":"Andrew Bolstad","orcid":"https://orcid.org/0000-0002-7638-1327"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew K. Bolstad","raw_affiliation_strings":["Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States"],"affiliations":[{"raw_affiliation_string":"Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077949687","display_name":"Julie Dickerson","orcid":"https://orcid.org/0000-0003-4973-5641"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julie A. Dickerson","raw_affiliation_strings":["Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States"],"affiliations":[{"raw_affiliation_string":"Iowa State University,Dept. of Electrical and Computer Engineering,Ames,United States","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108984123"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16720206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"718","last_page":"723"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9944000244140625,"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"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9944000244140625,"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/T11236","display_name":"Control Systems and Identification","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6873378157615662},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6470990180969238},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6120465397834778},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5916073322296143},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5816301107406616},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.5208226442337036},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4031539559364319},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3988954722881317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3033102750778198},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1332121193408966}],"concepts":[{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6873378157615662},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6470990180969238},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6120465397834778},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5916073322296143},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5816301107406616},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.5208226442337036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4031539559364319},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3988954722881317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3033102750778198},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1332121193408966},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ccece59415.2024.10667091","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/ccece59415.2024.10667091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W583903863","https://openalex.org/W2005814756","https://openalex.org/W2120256301","https://openalex.org/W2161181093","https://openalex.org/W2592555296","https://openalex.org/W2944476973","https://openalex.org/W3011286176","https://openalex.org/W4224997952","https://openalex.org/W4309157091","https://openalex.org/W4312228506","https://openalex.org/W4387831797"],"related_works":["https://openalex.org/W2057635680","https://openalex.org/W2546454710","https://openalex.org/W2108050916","https://openalex.org/W4298415086","https://openalex.org/W2380828869","https://openalex.org/W2335353069","https://openalex.org/W2124130510","https://openalex.org/W2921220370","https://openalex.org/W1932012237","https://openalex.org/W1987772141"],"abstract_inverted_index":{"The":[0,185],"Volterra":[1,26,68,95,147,175,210],"series":[2,69],"is":[3,29,37,71,110,141,151],"often":[4],"used":[5],"to":[6,49,128,143,154,194],"model":[7],"nonlinear":[8],"systems":[9],"in":[10,47,121],"the":[11,23,43,50,54,63,74,79,84,102,122,131,138,144,156,180,189,199,208],"fields":[12],"of":[13,21,25,56,67,76,94,105,137,146,159,167,198,207],"system":[14],"identification":[15],"and":[16,87,115,171,205],"adaptive":[17],"filtering.":[18,148],"One":[19],"means":[20],"computing":[22,113],"response":[24],"series-based":[27],"filters":[28],"via":[30],"input":[31,44,57,96,125,168],"product":[32,45,97,116,126,169],"vector":[33,46,58,98,127],"generation.":[34],"This":[35,89,109],"method":[36,140,166,191],"beneficial":[38],"for":[39,202],"applications":[40],"which":[41,100,118],"utilize":[42],"addition":[48],"filter\u2019s":[51],"response.":[52],"However,":[53],"problem":[55,66],"generation":[59,99,170],"as":[60,62],"well":[61],"more":[64],"general":[65],"filtering":[70],"computationally":[72],"complex\u2014as":[73],"number":[75,104],"terms":[77,120,129],"within":[78,130],"kernel":[80],"grows":[81],"exponentially":[82],"with":[83],"model\u2019s":[85],"memory":[86],"order.":[88],"paper":[90],"proposes":[91],"a":[92,160,173],"process":[93],"utilizes":[101],"minimal":[103],"multiplication":[106,165],"instructions":[107],"required.":[108],"done":[111],"by":[112],"permutation":[114],"maps":[117],"relate":[119],"current":[123],"iteration\u2019s":[124],"previous":[132],"iteration.":[133],"A":[134],"MATLAB":[135,157,181],"implementation":[136,158],"proposed":[139,190],"applied":[142],"task":[145],"Its":[149],"performance":[150],"then":[152],"compared":[153],"(a)":[155],"similar,":[161],"reduced":[162],"(though":[163],"not-minimal)":[164],"(b)":[172],"\"Fast":[174],"Filtering\"":[176],"script":[177],"listed":[178],"at":[179],"Central":[182],"File":[183],"Exchange.":[184],"results":[186],"show":[187],"that":[188],"performs":[192],"comparably":[193],"or":[195],"outperforms":[196],"both":[197],"other":[200],"methods":[201],"increasing":[203],"memories":[204],"orders":[206],"underlying":[209],"kernel.":[211]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
