{"id":"https://openalex.org/W4410393722","doi":"https://doi.org/10.1109/access.2025.3570420","title":"Cauchy-Lanczos Algorithm for Effective Dimension Reduction","display_name":"Cauchy-Lanczos Algorithm for Effective Dimension Reduction","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4410393722","doi":"https://doi.org/10.1109/access.2025.3570420"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3570420","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3570420","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3570420","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090939607","display_name":"Xuansheng Wang","orcid":"https://orcid.org/0000-0002-1790-524X"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuansheng Wang","raw_affiliation_strings":["Shenzhen Institute of Information Technology, Shenzhen, China","Shenzhen Institute of Information Technology, Shenzhen, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, China","institution_ids":["https://openalex.org/I158809036"]},{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, P. R. China","institution_ids":["https://openalex.org/I158809036"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112328178","display_name":"Linzhong Xia","orcid":"https://orcid.org/0009-0006-4132-5954"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linzhong Xia","raw_affiliation_strings":["Shenzhen Institute of Information Technology, Shenzhen, China","Shenzhen Institute of Information Technology, Shenzhen, P. R. China"],"raw_orcid":"https://orcid.org/0009-0006-4132-5954","affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, China","institution_ids":["https://openalex.org/I158809036"]},{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, P. R. China","institution_ids":["https://openalex.org/I158809036"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073031851","display_name":"Changwei Lv","orcid":"https://orcid.org/0000-0003-3585-2003"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changwei Lv","raw_affiliation_strings":["Shenzhen Institute of Information Technology, Shenzhen, China","Shenzhen Institute of Information Technology, Shenzhen, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-3585-2003","affiliations":[{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, China","institution_ids":["https://openalex.org/I158809036"]},{"raw_affiliation_string":"Shenzhen Institute of Information Technology, Shenzhen, P. R. China","institution_ids":["https://openalex.org/I158809036"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090939607"],"corresponding_institution_ids":["https://openalex.org/I158809036"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10604848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"95173","last_page":"95183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.8891000151634216,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.8891000151634216,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.7577999830245972,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.748199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.6906389594078064},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6611081957817078},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.606945812702179},{"id":"https://openalex.org/keywords/lanczos-algorithm","display_name":"Lanczos algorithm","score":0.5477119088172913},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.49182796478271484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46754565834999084},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4566144347190857},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4444458484649658},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41799402236938477},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3729585111141205},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15566542744636536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12241241335868835},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11029919981956482},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0836847722530365}],"concepts":[{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.6906389594078064},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6611081957817078},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.606945812702179},{"id":"https://openalex.org/C20501136","wikidata":"https://www.wikidata.org/wiki/Q366640","display_name":"Lanczos algorithm","level":4,"score":0.5477119088172913},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.49182796478271484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46754565834999084},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4566144347190857},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4444458484649658},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41799402236938477},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3729585111141205},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15566542744636536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12241241335868835},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11029919981956482},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0836847722530365},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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":2,"locations":[{"id":"doi:10.1109/access.2025.3570420","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3570420","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:dbfd4f77d81747859573c30a7d191ccb","is_oa":true,"landing_page_url":"https://doaj.org/article/dbfd4f77d81747859573c30a7d191ccb","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 95173-95183 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3570420","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3570420","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G158778666","display_name":null,"funder_award_id":"(Grant No. 92467204)","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1726264658","display_name":null,"funder_award_id":"pdjh2020a1189","funder_id":"https://openalex.org/F4320336627","funder_display_name":"Special Fund Project for Science and Technology Innovation Strategy of Guangdong Province"},{"id":"https://openalex.org/G2207478274","display_name":null,"funder_award_id":"JCYJ20220530155603007","funder_id":"https://openalex.org/F4320335778","funder_display_name":"National Science and Technology Infrastructure Program"},{"id":"https://openalex.org/G4264659296","display_name":null,"funder_award_id":"92467204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335778","display_name":"National Science and Technology Infrastructure Program","ror":null},{"id":"https://openalex.org/F4320336627","display_name":"Special Fund Project for Science and Technology Innovation Strategy of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1968767189","https://openalex.org/W1976798627","https://openalex.org/W1979688372","https://openalex.org/W1993393543","https://openalex.org/W1996375718","https://openalex.org/W2030995892","https://openalex.org/W2058280509","https://openalex.org/W2059029453","https://openalex.org/W2059586807","https://openalex.org/W2060015399","https://openalex.org/W2102988735","https://openalex.org/W2117686912","https://openalex.org/W2125426869","https://openalex.org/W2131347209","https://openalex.org/W2138451337","https://openalex.org/W2963760051","https://openalex.org/W3047335002","https://openalex.org/W3150295303","https://openalex.org/W3169263889","https://openalex.org/W3171726921","https://openalex.org/W3174813034","https://openalex.org/W3197266947","https://openalex.org/W3200490011","https://openalex.org/W3211498338","https://openalex.org/W4312258136","https://openalex.org/W4316021958","https://openalex.org/W4388838998","https://openalex.org/W4392024490","https://openalex.org/W4393140912","https://openalex.org/W4398185390","https://openalex.org/W4401588741","https://openalex.org/W4403918425","https://openalex.org/W6697647204","https://openalex.org/W6794472309"],"related_works":["https://openalex.org/W2156009096","https://openalex.org/W3176451595","https://openalex.org/W2027838537","https://openalex.org/W1970812947","https://openalex.org/W2058241770","https://openalex.org/W1980579360","https://openalex.org/W4248073715","https://openalex.org/W4243541541","https://openalex.org/W2095282848","https://openalex.org/W89920542"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,18,33,40,52,61,83,142],"dimension":[3,23,39,152],"reduction":[4,24],"techniques":[5,25],"is":[6],"to":[7,78,90,113],"eliminate":[8],"unnecessary":[9],"information":[10],"from":[11],"extensive":[12],"datasets,":[13],"thereby":[14],"enhancing":[15],"the":[16,38,41,47,53,58,70,75,80,92,114,128,137,148],"effectiveness":[17,150],"data":[19],"analysis.":[20],"Some":[21],"linear":[22],"can":[26,56,104],"be":[27],"formulated":[28],"using":[29],"an":[30,133],"appropriate":[31],"pair":[32],"symmetric":[34,63,85],"matrices.":[35],"To":[36],"identify":[37],"signal":[42,48],"subspace":[43],"and":[44,49,110,131],"distinguish":[45],"between":[46],"noise":[50],"components":[51],"data,":[54],"one":[55],"employ":[57],"eigenvalue":[59,81],"decomposition":[60,82],"a":[62,119],"matrix.":[64],"In":[65],"this":[66,102],"paper,":[67],"we":[68,88,126],"implement":[69],"Cauchy":[71],"interlace":[72],"theorem":[73],"within":[74],"Lanczos":[76,115],"algorithm":[77,94],"compute":[79],"large":[84],"matrices,":[86],"which":[87],"refer":[89],"as":[91,96],"Cauchy-Lanczos":[93],"(abbreviated":[95],"C-Lanczos":[97,138],"algorithm).":[98],"We":[99],"demonstrate":[100],"that":[101],"method":[103],"yield":[105],"more":[106],"accurate":[107],"approximate":[108],"eigenvalues":[109],"eigenvectors":[111],"compared":[112],"algorithm,":[116],"with":[117],"only":[118],"minor":[120],"increase":[121],"in":[122,151],"computational":[123],"cost.":[124],"Furthermore,":[125],"outline":[127],"convergence":[129],"characteristics":[130],"provide":[132],"error":[134],"analysis":[135],"for":[136],"algorithm.":[139],"A":[140],"series":[141],"experiments":[143],"are":[144],"also":[145],"presented,":[146],"illustrating":[147],"algorithm\u2019s":[149],"reduction.":[153]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}