{"id":"https://openalex.org/W3208687780","doi":"https://doi.org/10.1109/icassp43922.2022.9746105","title":"Multiplication-Avoiding Variant of Power Iteration with Applications","display_name":"Multiplication-Avoiding Variant of Power Iteration with Applications","publication_year":2022,"publication_date":"2022-04-27","ids":{"openalex":"https://openalex.org/W3208687780","doi":"https://doi.org/10.1109/icassp43922.2022.9746105","mag":"3208687780"},"language":"en","primary_location":{"id":"doi:10.1109/icassp43922.2022.9746105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9746105","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5002608156","display_name":"Hongyi Pan","orcid":"https://orcid.org/0000-0001-9421-3936"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongyi Pan","raw_affiliation_strings":["University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058826860","display_name":"Diaa Badawi","orcid":"https://orcid.org/0000-0003-4979-5572"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Diaa Badawi","raw_affiliation_strings":["University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024136836","display_name":"Runxuan Miao","orcid":"https://orcid.org/0000-0003-0140-8967"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Runxuan Miao","raw_affiliation_strings":["University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046275838","display_name":"Erdem Koyuncu","orcid":"https://orcid.org/0000-0002-6238-0470"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Erdem Koyuncu","raw_affiliation_strings":["University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080469744","display_name":"Ahmet Enis \u00c7etin","orcid":"https://orcid.org/0000-0002-3449-1958"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmet Enis Cetin","raw_affiliation_strings":["University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago,Department of Electrical and Computer Engineering,Chicago,IL","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5608","last_page":"5612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9984999895095825,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6132480502128601},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6108525395393372},{"id":"https://openalex.org/keywords/power-iteration","display_name":"Power iteration","score":0.558247983455658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5248710513114929},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.46548429131507874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45173180103302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35326480865478516},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3257412910461426},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1875559389591217},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15801772475242615}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6132480502128601},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6108525395393372},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.558247983455658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5248710513114929},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.46548429131507874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45173180103302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35326480865478516},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3257412910461426},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1875559389591217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15801772475242615},{"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/icassp43922.2022.9746105","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp43922.2022.9746105","pdf_url":null,"source":{"id":"https://openalex.org/S4363607702","display_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP 2022 - 2022 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9200000166893005}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320316514","display_name":"Arm","ror":"https://ror.org/04mmhzs81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1483508733","https://openalex.org/W1539726260","https://openalex.org/W1587559447","https://openalex.org/W1854214752","https://openalex.org/W1965718192","https://openalex.org/W1972023071","https://openalex.org/W2017014096","https://openalex.org/W2055486545","https://openalex.org/W2064177240","https://openalex.org/W2097820631","https://openalex.org/W2099585902","https://openalex.org/W2103914106","https://openalex.org/W2107096139","https://openalex.org/W2109035688","https://openalex.org/W2138428649","https://openalex.org/W2140095548","https://openalex.org/W2149861038","https://openalex.org/W2529352582","https://openalex.org/W2625898145","https://openalex.org/W2732618413","https://openalex.org/W2735441098","https://openalex.org/W2760395571","https://openalex.org/W2892104683","https://openalex.org/W2894994225","https://openalex.org/W2972397192","https://openalex.org/W2985488694","https://openalex.org/W3015205897","https://openalex.org/W3090986099","https://openalex.org/W3141650351","https://openalex.org/W3164847655","https://openalex.org/W3208687780","https://openalex.org/W6628989521","https://openalex.org/W6639055396","https://openalex.org/W6674539747","https://openalex.org/W6744527518","https://openalex.org/W6784041521","https://openalex.org/W6796110215"],"related_works":["https://openalex.org/W1242461565","https://openalex.org/W2516748375","https://openalex.org/W2164136545","https://openalex.org/W2141849896","https://openalex.org/W3023273287","https://openalex.org/W4248759904","https://openalex.org/W4309047765","https://openalex.org/W2363016166","https://openalex.org/W4293861650","https://openalex.org/W2161448262"],"abstract_inverted_index":{"Power":[0],"iteration":[1,53,71],"is":[2],"a":[3,19,112],"fundamental":[4],"algorithm":[5],"in":[6,127],"data":[7],"analysis.":[8],"It":[9],"extracts":[10],"the":[11,15,57,68,83,116],"eigenvector":[12],"corresponding":[13],"to":[14,124,137,144,150],"largest":[16],"eigenvalue":[17],"of":[18,115,118,129,135],"given":[20],"matrix.":[21],"Applications":[22],"include":[23],"ranking":[24,146],"algorithms,":[25],"principal":[26],"component":[27],"analysis":[28],"(PCA),":[29],"among":[30],"many":[31],"others.":[32],"Certain":[33],"use":[34],"cases":[35],"may":[36],"benefit":[37],"from":[38],"alternate,":[39],"non-linear":[40],"power":[41,52,70],"methods":[42],"with":[43,73],"low":[44],"complexity.":[45],"In":[46],"this":[47],"paper,":[48],"we":[49],"introduce":[50],"multiplication-avoiding":[51],"(MAPI).":[54],"MAPI":[55,95,110,136,152],"replaces":[56],"standard":[58],"\u2113":[59,84],"<inf":[60,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[61,86,104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[62],"inner":[63],"products":[64],"that":[65,81],"appear":[66],"at":[67],"regular":[69],"(RPI)":[72],"multiplication-free":[74],"vector":[75],"products,":[76],"which":[77,121],"are":[78,122],"Mercer-type":[79],"kernels":[80],"induce":[82],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</inf>":[87],"norm.":[88],"For":[89],"an":[90],"n":[91,93,97,102],"\u00d7":[92],"matrix,":[94],"requires":[96],"multiplications,":[98],"while":[99],"RPI":[100],"needs":[101],"<sup":[103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[105],"multiplications":[106],"per":[107],"iteration.":[108],"Therefore,":[109],"provides":[111,161],"significant":[113],"reduction":[114],"number":[117],"multiplication":[119],"operations,":[120],"known":[123],"be":[125],"costly":[126],"terms":[128],"energy":[130],"consumption.":[131],"We":[132],"provide":[133],"applications":[134],"PCA-based":[138],"image":[139],"reconstruction":[140],"as":[141,143],"well":[142],"graph-based":[145],"algorithms.":[147],"When":[148],"compared":[149],"RPI,":[151],"not":[153],"only":[154],"typically":[155],"converges":[156],"much":[157],"faster,":[158],"but":[159],"also":[160],"superior":[162],"performance.":[163]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
