{"id":"https://openalex.org/W3209041198","doi":"https://doi.org/10.3233/faia210212","title":"Multi-Step Low-Rank Decomposition of Large PageRank Matrices","display_name":"Multi-Step Low-Rank Decomposition of Large PageRank Matrices","publication_year":2021,"publication_date":"2021-10-14","ids":{"openalex":"https://openalex.org/W3209041198","doi":"https://doi.org/10.3233/faia210212","mag":"3209041198"},"language":"en","primary_location":{"id":"doi:10.3233/faia210212","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia210212","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA210212","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA210212","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091827568","display_name":"Zhao\u2010Li Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I37574244","display_name":"Sichuan Agricultural University","ror":"https://ror.org/0388c3403","country_code":"CN","type":"education","lineage":["https://openalex.org/I37574244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao-Li Shen","raw_affiliation_strings":["College of Science, Sichuan Agricultural University, Ya\u2019an, Sichuan 625000, P.R. China","College of Science, Sichuan Agricultural University, Ya'an, Sichuan 625000, P.R. China"],"affiliations":[{"raw_affiliation_string":"College of Science, Sichuan Agricultural University, Ya\u2019an, Sichuan 625000, P.R. China","institution_ids":["https://openalex.org/I37574244"]},{"raw_affiliation_string":"College of Science, Sichuan Agricultural University, Ya'an, Sichuan 625000, P.R. China","institution_ids":["https://openalex.org/I37574244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051748763","display_name":"Bruno Carpentieri","orcid":"https://orcid.org/0000-0002-0516-0033"},"institutions":[{"id":"https://openalex.org/I171543936","display_name":"Free University of Bozen-Bolzano","ror":"https://ror.org/012ajp527","country_code":"IT","type":"education","lineage":["https://openalex.org/I171543936"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Bruno Carpentieri","raw_affiliation_strings":["Faculty of Computer Science, Free University of Bozen-Bolzano, 39100 Bolzano, Italy"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science, Free University of Bozen-Bolzano, 39100 Bolzano, Italy","institution_ids":["https://openalex.org/I171543936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051748763"],"corresponding_institution_ids":["https://openalex.org/I171543936"],"apc_list":null,"apc_paid":null,"fwci":0.9561,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78810854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11273","display_name":"Advanced Graph Neural Networks","score":0.9440000057220459,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9207000136375427,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.9669542908668518},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.7145159840583801},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7037429809570312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6919626593589783},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6013784408569336},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5470392107963562},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5392718315124512},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.532446026802063},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5287967324256897},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4181225597858429},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.41333746910095215},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.32076209783554077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28272056579589844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1863410472869873},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06886124610900879},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05972355604171753},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.053938716650009155}],"concepts":[{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.9669542908668518},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.7145159840583801},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7037429809570312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6919626593589783},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6013784408569336},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5470392107963562},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5392718315124512},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.532446026802063},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5287967324256897},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4181225597858429},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.41333746910095215},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.32076209783554077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28272056579589844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1863410472869873},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06886124610900879},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05972355604171753},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.053938716650009155},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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":4,"locations":[{"id":"doi:10.3233/faia210212","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia210212","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA210212","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},{"id":"pmh:oai:alma.39UBZ_INST:11292788470001241","is_oa":true,"landing_page_url":"https://doi.org/10.3233/FAIA210212","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:unibz.it:11292788470001241","is_oa":true,"landing_page_url":"https://bia.unibz.it/esploro/outputs/conferenceProceeding/Multi-Step-Low-Rank-Decomposition-of-Large-PageRank/991006490597301241","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:zenodo.org:122133","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/122133","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"doi:10.3233/faia210212","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia210212","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA210212","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.4399999976158142,"display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G7275596941","display_name":null,"funder_award_id":"Progetti di Ricerca 2020","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3209041198.pdf","grobid_xml":"https://content.openalex.org/works/W3209041198.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1854214752","https://openalex.org/W2000273502","https://openalex.org/W2017374514","https://openalex.org/W2035080386","https://openalex.org/W2048509145","https://openalex.org/W2066636486","https://openalex.org/W2143516113","https://openalex.org/W2417956450","https://openalex.org/W2549877740","https://openalex.org/W2610700150","https://openalex.org/W2883327543","https://openalex.org/W2884654161","https://openalex.org/W4295115623","https://openalex.org/W4307763745","https://openalex.org/W6649339461","https://openalex.org/W6662249760"],"related_works":["https://openalex.org/W2417956450","https://openalex.org/W2098335221","https://openalex.org/W3092698439","https://openalex.org/W3004461998","https://openalex.org/W2481254286","https://openalex.org/W2060828039","https://openalex.org/W2899213905","https://openalex.org/W3122282426","https://openalex.org/W2952700941","https://openalex.org/W3209041198"],"abstract_inverted_index":{"The":[0],"PageRank":[1,74],"model,":[2],"initially":[3],"proposed":[4],"by":[5],"Google":[6],"for":[7,72],"search":[8],"engine":[9],"rankings,":[10],"provides":[11],"a":[12,56],"useful":[13],"network":[14],"centrality":[15],"measure":[16],"to":[17,38,65],"identify":[18],"the":[19,39,43,46,51,67],"most":[20],"important":[21],"nodes":[22],"within":[23],"large":[24],"graphs":[25],"arising":[26],"in":[27],"several":[28],"applications.":[29],"However,":[30],"its":[31],"computation":[32],"is":[33],"often":[34],"very":[35],"difficult":[36],"due":[37],"huge":[40,68],"sizes":[41],"of":[42,50,81],"networks":[44],"and":[45],"unfavourable":[47],"spectral":[48],"properties":[49],"associated":[52],"matrices.":[53],"We":[54],"present":[55,78],"novel":[57],"multi-step":[58],"low-rank":[59],"factorization":[60],"that":[61],"can":[62],"be":[63],"used":[64],"reduce":[66],"memory":[69],"cost":[70],"demanded":[71],"realistic":[73],"calculations.":[75],"Finally,":[76],"we":[77],"some":[79],"directions":[80],"future":[82],"research.":[83]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2021-11-08T00:00:00"}