{"id":"https://openalex.org/W3204296272","doi":"https://doi.org/10.1145/3470566","title":"Querying a Matrix through Matrix-Vector Products","display_name":"Querying a Matrix through Matrix-Vector Products","publication_year":2021,"publication_date":"2021-10-04","ids":{"openalex":"https://openalex.org/W3204296272","doi":"https://doi.org/10.1145/3470566","mag":"3204296272"},"language":"en","primary_location":{"id":"doi:10.1145/3470566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3470566","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3470566","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3470566","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000241520","display_name":"Xiaoming Sun","orcid":"https://orcid.org/0000-0002-0281-1670"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoming Sun","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China and University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China and University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102861589","display_name":"David P. Woodruff","orcid":"https://orcid.org/0000-0002-2158-1380"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David P. Woodruff","raw_affiliation_strings":["Carnegie Mellon University, Pennsylvania, USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pennsylvania, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100616292","display_name":"Guang Yang","orcid":"https://orcid.org/0000-0002-2991-9737"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang Yang","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China and Conflux, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China and Conflux, Beijing, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333626","display_name":"Jialin Zhang","orcid":"https://orcid.org/0000-0002-6245-1013"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I4210090176","display_name":"Institute of Computing Technology","ror":"https://ror.org/0090r4d87","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210090176"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jialin Zhang","raw_affiliation_strings":["Institute of Computing Technology, Chinese Academy of Sciences, China and University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Computing Technology, Chinese Academy of Sciences, China and University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000241520"],"corresponding_institution_ids":["https://openalex.org/I4210090176","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":1.356,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83917186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"17","issue":"4","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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":0.9994000196456909,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9994000196456909,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6119564175605774},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.569105863571167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5403602123260498},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49410775303840637},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.48073720932006836},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4717325270175934},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.46492648124694824},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4228183329105377},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.4220055937767029},{"id":"https://openalex.org/keywords/incidence-matrix","display_name":"Incidence matrix","score":0.41794902086257935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4062490165233612},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3525567650794983},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.32624295353889465}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6119564175605774},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.569105863571167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5403602123260498},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49410775303840637},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.48073720932006836},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4717325270175934},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.46492648124694824},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4228183329105377},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.4220055937767029},{"id":"https://openalex.org/C85136909","wikidata":"https://www.wikidata.org/wiki/Q939272","display_name":"Incidence matrix","level":3,"score":0.41794902086257935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4062490165233612},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3525567650794983},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.32624295353889465},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","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":1,"locations":[{"id":"doi:10.1145/3470566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3470566","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3470566","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3470566","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3470566","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3470566","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1263045831","display_name":null,"funder_award_id":"61832003, 61872334","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3204296272.pdf","grobid_xml":"https://content.openalex.org/works/W3204296272.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W101298592","https://openalex.org/W1970136394","https://openalex.org/W2003571173","https://openalex.org/W2028920479","https://openalex.org/W2053182026","https://openalex.org/W2057450058","https://openalex.org/W2064379477","https://openalex.org/W2100732817","https://openalex.org/W2148137544","https://openalex.org/W2157560371","https://openalex.org/W2168831133","https://openalex.org/W2225286048","https://openalex.org/W2344844563","https://openalex.org/W2591972614","https://openalex.org/W2610692559","https://openalex.org/W2761580201","https://openalex.org/W2810007934","https://openalex.org/W2949204716","https://openalex.org/W2949572027","https://openalex.org/W2950563200","https://openalex.org/W2952501021","https://openalex.org/W2963794660","https://openalex.org/W3112410551","https://openalex.org/W3145589026","https://openalex.org/W4230889046","https://openalex.org/W4241765972","https://openalex.org/W4247353359","https://openalex.org/W4253094038","https://openalex.org/W4389615622"],"related_works":["https://openalex.org/W4377019474","https://openalex.org/W4296561125","https://openalex.org/W2079771573","https://openalex.org/W2998460306","https://openalex.org/W2038143369","https://openalex.org/W4308166597","https://openalex.org/W4281939267","https://openalex.org/W4385708971","https://openalex.org/W4390722723","https://openalex.org/W2061206640"],"abstract_inverted_index":{"We":[0,106,186,219],"consider":[1,124],"algorithms":[2,191,207],"with":[3],"access":[4],"to":[5,81,101,130,143,154,174,195,253,279],"an":[6],"unknown":[7],"matrix":[8,141,245],"M":[9,164,167,181],"\u03b5":[10],"F":[11],"n\u00d7d":[12],"via":[13],"matrix-vector":[14,197,229],"products":[15,198],",":[16,24,26,29,34,36,58,60],"namely,":[17],"the":[18,41,92,95,125,132,145,204,214,217,225,228,241,244,255],"algorithm":[19],"chooses":[20],"vectors":[21,202,211],"v":[22,27,42],"1":[23,33,57],"\u20db":[25,35,59],"q":[28,38,97],"and":[30,74,87,118,137,216,265],"observes":[31],"Mv":[32,37,56,61],".":[39,63],"Here":[40],"i":[43],"can":[44,209],"be":[45,277],"randomized":[46],"as":[47,49,52,77,79,84],"well":[48,78],"chosen":[50],"adaptively":[51],"a":[53,140,177,268,280],"function":[54],"of":[55,67,94,98,127,139,147,152,243,271,282],"i-1":[62],"Motivated":[64],"by":[65,180,200],"applications":[66],"sketching":[68],"in":[69,109,163,273],"distributed":[70],"computation,":[71],"linear":[72,114],"algebra,":[73,115],"streaming":[75],"models,":[76],"connections":[80],"areas":[82],"such":[83],"communication":[85],"complexity":[86],"property":[88],"testing,":[89],"we":[90,123,236,266],"initiate":[91],"study":[93,107],"number":[96,126,281],"queries":[99,128],"needed":[100],"solve":[102],"various":[103],"fundamental":[104,263],"problems.":[105,120],"problems":[108,272],"three":[110],"broad":[111],"categories,":[112],"including":[113],"statistics":[116],"problems,":[117,235],"graph":[119,178,234],"For":[121,233],"example,":[122],"required":[129],"approximate":[131],"rank,":[133],"trace,":[134],"maximum":[135],"eigenvalue,":[136],"norms":[138],"M;":[142],"compute":[144,175],"AND/OR/Parity":[146],"each":[148],"column":[149],"or":[150,161,165,171,173,184],"row":[151],"M,":[153],"decide":[155],"whether":[156,166,176],"there":[157],"are":[158,193],"identical":[159],"columns":[160],"rows":[162],"is":[168,182],"symmetric,":[169],"diagonal,":[170],"unitary;":[172],"defined":[179],"connected":[183],"triangle-free.":[185],"also":[187,220],"show":[188,221,237],"separations":[189,222,238],"for":[190],"that":[192,208],"allowed":[194],"obtain":[196],"only":[199],"querying":[201],"on":[203,212,224,240],"right,":[205],"versus":[206,248],"query":[210],"both":[213],"left":[215],"right.":[218],"depending":[223,239],"underlying":[226],"field":[227],"product":[230],"occurs":[231],"in.":[232],"form":[242],"(bipartite":[246],"adjacency":[247],"signed":[249],"edge-vertex":[250],"incidence":[251],"matrix)":[252],"represent":[254],"graph.":[256],"Surprisingly,":[257],"very":[258],"few":[259],"works":[260],"discuss":[261],"this":[262,274],"model,":[264],"believe":[267],"thorough":[269],"investigation":[270],"model":[275],"would":[276],"beneficial":[278],"different":[283],"application":[284],"areas.":[285]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-05T09:29:38.588285","created_date":"2025-10-10T00:00:00"}
