{"id":"https://openalex.org/W3210102012","doi":"https://doi.org/10.1137/1.9781611977073.107","title":"Computing Lewis Weights to High Precision","display_name":"Computing Lewis Weights to High Precision","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3210102012","doi":"https://doi.org/10.1137/1.9781611977073.107","mag":"3210102012"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611977073.107","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611977073.107","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2110.15563","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102886973","display_name":"Maryam Fazel","orcid":"https://orcid.org/0000-0001-5329-4522"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Maryam Fazel","raw_affiliation_strings":["University of Washington ;"],"affiliations":[{"raw_affiliation_string":"University of Washington ;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024980585","display_name":"Yin Tat Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yin Tat Lee","raw_affiliation_strings":["University of Washington ;"],"affiliations":[{"raw_affiliation_string":"University of Washington ;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042979350","display_name":"Swati Padmanabhan","orcid":"https://orcid.org/0000-0002-4834-2136"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Swati Padmanabhan","raw_affiliation_strings":["University of Washington ;"],"affiliations":[{"raw_affiliation_string":"University of Washington ;","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086787265","display_name":"Aaron Sidford","orcid":"https://orcid.org/0000-0003-2675-7610"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aaron Sidford","raw_affiliation_strings":["Stanford University ()"],"affiliations":[{"raw_affiliation_string":"Stanford University ()","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102886973"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0135646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2723","last_page":"2742"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9993000030517578,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/combinatorics","display_name":"Combinatorics","score":0.6169867515563965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6150593757629395},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5225919485092163},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.44247299432754517},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.43249964714050293},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3314450979232788},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14150726795196533}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6169867515563965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6150593757629395},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5225919485092163},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.44247299432754517},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.43249964714050293},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3314450979232788},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14150726795196533}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/1.9781611977073.107","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1.9781611977073.107","pdf_url":null,"source":{"id":"https://openalex.org/S4306463922","display_name":"Society for Industrial and Applied Mathematics eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:2110.15563","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.15563","pdf_url":"https://arxiv.org/pdf/2110.15563","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"","raw_type":"text"},{"id":"mag:3210102012","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2110.15563.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2110.15563","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2110.15563","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2110.15563","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.15563","pdf_url":"https://arxiv.org/pdf/2110.15563","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3210102012.pdf","grobid_xml":"https://content.openalex.org/works/W3210102012.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W182005662","https://openalex.org/W1508384000","https://openalex.org/W1509154951","https://openalex.org/W1632601927","https://openalex.org/W2012329067","https://openalex.org/W2043804332","https://openalex.org/W2056124912","https://openalex.org/W2064380440","https://openalex.org/W2069291005","https://openalex.org/W2096908304","https://openalex.org/W2138663260","https://openalex.org/W2145089782","https://openalex.org/W2158713176","https://openalex.org/W2296319761","https://openalex.org/W2556595593","https://openalex.org/W2616345629","https://openalex.org/W2741825000","https://openalex.org/W2888080453","https://openalex.org/W2891971595","https://openalex.org/W2962682298","https://openalex.org/W2962877742","https://openalex.org/W2963085207","https://openalex.org/W2963098024","https://openalex.org/W2964082786","https://openalex.org/W2964271537","https://openalex.org/W2965790996","https://openalex.org/W2965813500","https://openalex.org/W2980475696","https://openalex.org/W3034195006","https://openalex.org/W3035237169","https://openalex.org/W3035679231","https://openalex.org/W3083490943","https://openalex.org/W3093409560","https://openalex.org/W3110918953","https://openalex.org/W3127364649","https://openalex.org/W3170692334"],"related_works":["https://openalex.org/W3209193315","https://openalex.org/W2970810162","https://openalex.org/W2995213998","https://openalex.org/W3211881610","https://openalex.org/W2186894090","https://openalex.org/W2397017720","https://openalex.org/W2012923506","https://openalex.org/W1496909474","https://openalex.org/W3043639563","https://openalex.org/W3174488419","https://openalex.org/W2947447690","https://openalex.org/W1527447383","https://openalex.org/W3102960332","https://openalex.org/W2233334349","https://openalex.org/W2563899981","https://openalex.org/W2950499766","https://openalex.org/W1555903671","https://openalex.org/W2884723172","https://openalex.org/W2246418696","https://openalex.org/W2950326154"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"algorithm":[3,32,99,129],"for":[4,64,82,100,111,130,137],"computing":[5,58,104,131],"approximate":[6],"\u2113p":[7,35,105],"Lewis":[8,36,106],"weights":[9,37,107],"to":[10,72,108],"high":[11,109],"precision.":[12],"Given":[13],"a":[14,26,76,132,138],"full-rank":[15],"A":[16,39],"\u220a":[17,67,84],"\u211dm":[18,68],"\u00d7":[19,69],"n":[20,24],"with":[21,89],"m":[22],"\u2265":[23],"and":[25,87],"scalar":[27],"p":[28,83,114],">":[29,115],"2,":[30],"our":[31,73,92],"computes":[33],"\u220a-approximate":[34],"of":[38,45,57,62,103,120],"in":[40,50],"\u00d5p(log(1/\u220a))":[41],"iterations;":[42],"the":[43,51,55,59,95,101,125],"cost":[44,56],"each":[46],"iteration":[47],"is":[48,123],"linear":[49],"input":[52],"size":[53],"plus":[54],"leverage":[60],"scores":[61],"DA":[63],"diagonal":[65],"D":[66],"m.":[70],"Prior":[71],"work,":[74],"such":[75],"computational":[77],"complexity":[78],"was":[79],"known":[80],"only":[81],"(0,4)":[85],"[CP15],":[86],"combined":[88],"this":[90,121],"result,":[91],"work":[93],"yields":[94],"first":[96,126],"polylogarithmic-depth":[97,127],"polynomial-work":[98,128],"problem":[102],"precision":[110],"all":[112],"constant":[113],"0.":[116],"An":[117],"important":[118],"consequence":[119],"result":[122],"also":[124],"nearly":[133],"optimal":[134],"self-concordant":[135],"barrier":[136],"polytope.":[139]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}