{"id":"https://openalex.org/W4391215242","doi":"https://doi.org/10.1186/s12859-024-05650-8","title":"Fast computation of the eigensystem of genomic similarity matrices","display_name":"Fast computation of the eigensystem of genomic similarity matrices","publication_year":2024,"publication_date":"2024-01-25","ids":{"openalex":"https://openalex.org/W4391215242","doi":"https://doi.org/10.1186/s12859-024-05650-8","pmid":"https://pubmed.ncbi.nlm.nih.gov/38273228"},"language":"en","primary_location":{"id":"doi:10.1186/s12859-024-05650-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-024-05650-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/s12859-024-05650-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/s12859-024-05650-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010215905","display_name":"Georg Hahn","orcid":"https://orcid.org/0000-0001-6008-2720"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Georg Hahn","raw_affiliation_strings":["T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA. ghahn@hsph.harvard.edu","T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA. ghahn@hsph.harvard.edu","institution_ids":[]},{"raw_affiliation_string":"T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051019541","display_name":"Sharon M. Lutz","orcid":"https://orcid.org/0000-0002-1515-9431"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sharon M. Lutz","raw_affiliation_strings":["T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080474017","display_name":"Julian Hecker","orcid":"https://orcid.org/0000-0001-7918-089X"},"institutions":[{"id":"https://openalex.org/I1283280774","display_name":"Brigham and Women's Hospital","ror":"https://ror.org/04b6nzv94","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1283280774","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Julian Hecker","raw_affiliation_strings":["Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","institution_ids":[]},{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I1283280774"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019016063","display_name":"Dmitry Prokopenko","orcid":"https://orcid.org/0000-0002-1844-5652"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I4210087915","display_name":"Massachusetts General Hospital","ror":"https://ror.org/002pd6e78","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210087915","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dmitry Prokopenko","raw_affiliation_strings":["Massachusetts General Hospital, Harvard University, Boston, MA, 02114, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts General Hospital, Harvard University, Boston, MA, 02114, USA","institution_ids":["https://openalex.org/I4210087915","https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018495347","display_name":"Michael H. Cho","orcid":"https://orcid.org/0000-0002-4907-1657"},"institutions":[{"id":"https://openalex.org/I1283280774","display_name":"Brigham and Women's Hospital","ror":"https://ror.org/04b6nzv94","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1283280774","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael H. Cho","raw_affiliation_strings":["Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","institution_ids":[]},{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I1283280774"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035524361","display_name":"Edwin K. Silverman","orcid":"https://orcid.org/0000-0002-3641-3822"},"institutions":[{"id":"https://openalex.org/I1283280774","display_name":"Brigham and Women's Hospital","ror":"https://ror.org/04b6nzv94","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1283280774","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edwin K. Silverman","raw_affiliation_strings":["Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","institution_ids":[]},{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I1283280774"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073763243","display_name":"Scott T. Weiss","orcid":"https://orcid.org/0000-0001-7196-303X"},"institutions":[{"id":"https://openalex.org/I1283280774","display_name":"Brigham and Women's Hospital","ror":"https://ror.org/04b6nzv94","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1283280774","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott T. Weiss","raw_affiliation_strings":["Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women's Hospital, Boston, MA, 02115, USA","institution_ids":[]},{"raw_affiliation_string":"Channing Divsion of Network Medicine, Brigham and Women\u2019s Hospital, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I1283280774"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002736890","display_name":"Christoph Lange","orcid":"https://orcid.org/0000-0003-2620-1030"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christoph Lange","raw_affiliation_strings":["T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA"],"affiliations":[{"raw_affiliation_string":"T.H. Chan School of Public Health, Harvard University, Boston, MA, 02115, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5010215905"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":{"value":1690,"currency":"GBP","value_usd":2072},"apc_paid":{"value":1690,"currency":"GBP","value_usd":2072},"fwci":0.2464,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53442742,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"25","issue":"1","first_page":"43","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10885","display_name":"Gene expression and cancer classification","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.9954000115394592,"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/computational-biology","display_name":"Computational biology","score":0.6056081652641296},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5521723031997681},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5165537595748901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5158185362815857},{"id":"https://openalex.org/keywords/dna-microarray","display_name":"DNA microarray","score":0.44319912791252136},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.40934276580810547},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.40089482069015503},{"id":"https://openalex.org/keywords/bioinformatics","display_name":"Bioinformatics","score":0.32351890206336975},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2701273560523987},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2046596109867096},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.12755334377288818}],"concepts":[{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.6056081652641296},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5521723031997681},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5165537595748901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5158185362815857},{"id":"https://openalex.org/C95371953","wikidata":"https://www.wikidata.org/wiki/Q591745","display_name":"DNA microarray","level":4,"score":0.44319912791252136},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.40934276580810547},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.40089482069015503},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.32351890206336975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2701273560523987},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2046596109867096},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.12755334377288818},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016678","descriptor_name":"Genome","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D023281","descriptor_name":"Genomics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1186/s12859-024-05650-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-024-05650-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/s12859-024-05650-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},{"id":"pmid:38273228","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38273228","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC bioinformatics","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10811951","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10811951","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10811951/pdf/12859_2024_Article_5650.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Bioinformatics","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:9e85b3a4726d4c48be715654b1c4bd13","is_oa":true,"landing_page_url":"https://doaj.org/article/9e85b3a4726d4c48be715654b1c4bd13","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":"BMC Bioinformatics, Vol 25, Iss 1, Pp 1-20 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s12859-024-05650-8","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s12859-024-05650-8","pdf_url":"https://bmcbioinformatics.biomedcentral.com/counter/pdf/10.1186/s12859-024-05650-8","source":{"id":"https://openalex.org/S19032547","display_name":"BMC Bioinformatics","issn_l":"1471-2105","issn":["1471-2105"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320256","host_organization_name":"BioMed Central","host_organization_lineage":["https://openalex.org/P4310320256","https://openalex.org/P4310319965"],"host_organization_lineage_names":["BioMed Central","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.4300000071525574,"display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G1585201425","display_name":null,"funder_award_id":"P01 HL 120839","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G2087415855","display_name":null,"funder_award_id":"P01 HL 132825","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3196428062","display_name":null,"funder_award_id":"1R01 AI 154470-01","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G3432774138","display_name":null,"funder_award_id":"R21 HD 095228 008976","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G591100725","display_name":null,"funder_award_id":"2U01 HG 008685","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G6237335845","display_name":null,"funder_award_id":"P01HL132825","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G7590794737","display_name":null,"funder_award_id":"U01 HL 089856","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8344231534","display_name":null,"funder_award_id":"R21 HD 095228","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G8603020286","display_name":null,"funder_award_id":"U01 HL 089897","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320309944","display_name":"Cure Alzheimer's Fund","ror":"https://ror.org/05ewr7t48"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391215242.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1970377488","https://openalex.org/W1990512452","https://openalex.org/W2009766041","https://openalex.org/W2033151532","https://openalex.org/W2041256929","https://openalex.org/W2047923046","https://openalex.org/W2048785795","https://openalex.org/W2082704080","https://openalex.org/W2104549677","https://openalex.org/W2108169091","https://openalex.org/W2117756735","https://openalex.org/W2127553405","https://openalex.org/W2156685906","https://openalex.org/W2157752701","https://openalex.org/W2302778906","https://openalex.org/W2592682870","https://openalex.org/W2950232131","https://openalex.org/W3087003652","https://openalex.org/W3175100919","https://openalex.org/W4312113617","https://openalex.org/W4313320717","https://openalex.org/W6750968397"],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2375480909","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W2353314428","https://openalex.org/W3134658850","https://openalex.org/W2012019886"],"abstract_inverted_index":{"The":[0,16,57,110,136],"computation":[1,198],"of":[2,19,43,59,70,98,147,221,228,248,274],"a":[3,10,45,90,99,148,151,178,239],"similarity":[4,46],"measure":[5],"for":[6,27,35,95,181],"genomic":[7,83],"data":[8,271,273],"is":[9,62,104,116,154,159,169,191,199,257],"standard":[11],"tool":[12],"in":[13,37,89,132,162,259],"computational":[14],"genetics.":[15],"principal":[17,219],"components":[18,220],"such":[20],"matrices":[21,72],"are":[22,54,129],"routinely":[23],"used":[24],"to":[25,30,193],"correct":[26],"biases":[28],"due":[29],"confounding":[31],"by":[32],"population":[33],"stratification,":[34],"instance":[36],"linear":[38],"regressions.":[39],"However,":[40],"the":[41,68,74,77,82,96,107,170,182,195,208,218,222,226,234,245,254,264,275],"calculation":[42,69],"both":[44,269],"matrix":[47,134,153,165,190,224],"and":[48,81,124,142,145,215,225,243,261,272],"its":[49],"singular":[50],"value":[51],"decomposition":[52],"(SVD)":[53],"computationally":[55],"intensive.":[56],"contribution":[58],"this":[60],"article":[61],"threefold.":[63],"First,":[64],"we":[65,114,202],"demonstrate":[66],"that":[67,126,140,158,253],"three":[71],"(called":[73],"covariance":[75],"matrix,":[76,80,173],"weighted":[78],"Jaccard":[79,172,189,223,236],"relationship":[84],"matrix)":[85],"can":[86],"be":[87],"reformulated":[88],"unified":[91],"way":[92],"which":[93,103,174,194],"allows":[94],"application":[97],"randomized":[100,121],"SVD":[101,112,122,184,197],"algorithm,":[102],"faster":[105],"than":[106],"traditional":[108],"computation.":[109],"fast":[111,183,196],"algorithm":[113,123,137],"present":[115],"adapted":[117],"from":[118],"an":[119,156,187],"existing":[120],"ensures":[125],"all":[127],"computations":[128],"carried":[130],"out":[131],"sparse":[133,152,164],"algebra.":[135],"only":[138],"assumes":[139],"row-wise":[141],"column-wise":[143],"subtraction":[144],"multiplication":[146],"vector":[149],"with":[150],"available,":[155],"operation":[157],"efficiently":[160],"implemented":[161],"common":[163],"packages.":[166],"An":[167],"exception":[168],"so-called":[171],"does":[175],"not":[176],"have":[177],"structure":[179],"applicable":[180],"algorithm.":[185,250],"Second,":[186],"approximate":[188],"introduced":[192],"applicable.":[200],"Third,":[201],"establish":[203],"guaranteed":[204],"theoretical":[205,246,265],"bounds":[206],"on":[207,238,268],"accuracy":[209],"(in":[210],"[Formula:":[211],"see":[212],"text]":[213],"norm":[214],"angle)":[216],"between":[217],"ones":[227],"our":[229,249],"proposed":[230,235],"approximation,":[231],"thus":[232],"putting":[233],"approximation":[237,255],"solid":[240],"mathematical":[241],"foundation,":[242],"derive":[244],"runtime":[247,266],"We":[251],"illustrate":[252],"error":[256],"low":[258],"practice":[260],"empirically":[262],"verify":[263],"scalings":[267],"simulated":[270],"1000":[276],"Genome":[277],"Project.":[278]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
