{"id":"https://openalex.org/W4387608633","doi":"https://doi.org/10.15439/2023f3368","title":"L1-Norm Principal Component Analysis Using Quaternion Rotations","display_name":"L1-Norm Principal Component Analysis Using Quaternion Rotations","publication_year":2023,"publication_date":"2023-09-26","ids":{"openalex":"https://openalex.org/W4387608633","doi":"https://doi.org/10.15439/2023f3368"},"language":"en","primary_location":{"id":"doi:10.15439/2023f3368","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15439/2023f3368","pdf_url":"https://annals-csis.org/Volume_35/drp/pdf/3368.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/Volume_35/drp/pdf/3368.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054376406","display_name":"Adam Borowicz","orcid":"https://orcid.org/0000-0003-0320-5530"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Adam Borowicz","raw_affiliation_strings":["Faculty of Computer Science , Bialystok University of Technology Wiejska str. 45A , 15-351 Bialystok , Poland","Faculty of Computer Science, Bialystok University of Technology Wiejska str. 45A, 15-351 Bialystok, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science , Bialystok University of Technology Wiejska str. 45A , 15-351 Bialystok , Poland","institution_ids":["https://openalex.org/I1323121030"]},{"raw_affiliation_string":"Faculty of Computer Science, Bialystok University of Technology Wiejska str. 45A, 15-351 Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054376406"],"corresponding_institution_ids":["https://openalex.org/I1323121030"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26427406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":null,"first_page":"883","last_page":"888"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.8463000059127808,"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"}},"topics":[{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.8463000059127808,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.8818577527999878},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.7922525405883789},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5131445527076721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48397254943847656},{"id":"https://openalex.org/keywords/component-analysis","display_name":"Component analysis","score":0.42609912157058716},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.42020687460899353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3814670741558075},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3463078737258911},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32110708951950073},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.254458487033844},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22650200128555298},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14071500301361084},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09453058242797852},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06205952167510986}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8818577527999878},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.7922525405883789},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5131445527076721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48397254943847656},{"id":"https://openalex.org/C2780692498","wikidata":"https://www.wikidata.org/wiki/Q16950721","display_name":"Component analysis","level":2,"score":0.42609912157058716},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.42020687460899353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3814670741558075},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3463078737258911},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32110708951950073},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.254458487033844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22650200128555298},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14071500301361084},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09453058242797852},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06205952167510986},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15439/2023f3368","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15439/2023f3368","pdf_url":"https://annals-csis.org/Volume_35/drp/pdf/3368.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:ed93923e29d14dd1b1a48c53b2b95c2a","is_oa":true,"landing_page_url":"https://doaj.org/article/ed93923e29d14dd1b1a48c53b2b95c2a","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 35, Pp 883-888 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2023f3368","is_oa":true,"landing_page_url":"http://dx.doi.org/10.15439/2023f3368","pdf_url":"https://annals-csis.org/Volume_35/drp/pdf/3368.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387608633.pdf","grobid_xml":"https://content.openalex.org/works/W4387608633.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1539726260","https://openalex.org/W1905772121","https://openalex.org/W1992633833","https://openalex.org/W2124757684","https://openalex.org/W2167217202","https://openalex.org/W2472885885","https://openalex.org/W2529352582","https://openalex.org/W3083076520","https://openalex.org/W4229748564","https://openalex.org/W4292023222","https://openalex.org/W4298137808","https://openalex.org/W4312404818"],"related_works":["https://openalex.org/W2073510591","https://openalex.org/W1888749522","https://openalex.org/W3027745756","https://openalex.org/W1974824484","https://openalex.org/W2142308737","https://openalex.org/W2371382315","https://openalex.org/W2370389335","https://openalex.org/W2413079988","https://openalex.org/W2390662382","https://openalex.org/W2087310503"],"abstract_inverted_index":{"Principal":[0],"component":[1],"analysis":[2],"(PCA)":[3],"based":[4,88],"on":[5,89],"L1norm":[6],"has":[7],"drawn":[8],"growing":[9],"interest":[10],"in":[11,17],"recent":[12],"years.It":[13],"is":[14,63,71,142],"especially":[15],"popular":[16,61],"the":[18,59,64,68,78,118,130,133,140,148],"machine":[19],"learning":[20],"and":[21,42,112],"pattern":[22],"recognition":[23],"communities":[24],"for":[25,32,46,137],"its":[26],"robustness":[27],"to":[28],"outliers.Although":[29],"optimal":[30],"algorithms":[31],"L1-norm":[33,69],"maximization":[34,70],"exist,":[35],"they":[36],"have":[37,54],"very":[38],"high":[39,96],"computational":[40,135],"complexity":[41],"can":[43],"be":[44],"used":[45],"evaluation":[47],"purposes":[48],"only.In":[49],"practice,":[50],"only":[51],"approximate":[52,126],"techniques":[53],"been":[55],"considered":[56],"so":[57],"far.Currently,":[58],"most":[60],"method":[62,107],"bit-flipping":[65,149],"technique,":[66],"where":[67],"viewed":[72],"as":[73],"a":[74,102],"combinatorial":[75],"problem":[76],"over":[77],"binary":[79],"field.Recently,":[80],"we":[81,100],"proposed":[82,119],"exhaustive,":[83],"but":[84,128],"faster":[85],"algorithm":[86],"[1]":[87],"two-dimensional":[90],"Jacobi":[91],"rotations":[92,111],"that":[93,108,117,146],"also":[94],"offer":[95],"accuracy.In":[97],"this":[98,106],"paper,":[99],"develop":[101],"novel":[103],"variant":[104],"of":[105,132,147],"uses":[109],"three-dimensional":[110],"quaternion":[113],"algebra.Our":[114],"experiments":[115],"show":[116],"approach":[120],"offers":[121],"higher":[122],"accuracy":[123],"than":[124,145],"other":[125],"algorithms,":[127],"at":[129],"expense":[131],"additional":[134],"cost.However,":[136],"large":[138],"datasets,":[139],"cost":[141],"still":[143],"lower":[144],"technique.":[150]},"counts_by_year":[],"updated_date":"2026-03-07T13:37:22.277990","created_date":"2025-10-10T00:00:00"}
