{"id":"https://openalex.org/W2317943859","doi":"https://doi.org/10.1109/tkde.2016.2545664","title":"The Gamma Matrix to Summarize Dense and Sparse Data Sets for Big Data Analytics","display_name":"The Gamma Matrix to Summarize Dense and Sparse Data Sets for Big Data Analytics","publication_year":2016,"publication_date":"2016-03-23","ids":{"openalex":"https://openalex.org/W2317943859","doi":"https://doi.org/10.1109/tkde.2016.2545664","mag":"2317943859"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2016.2545664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2016.2545664","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031610238","display_name":"Carlos Ordo\u0144\u1ebdz","orcid":"https://orcid.org/0009-0005-1135-9726"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carlos Ordonez","raw_affiliation_strings":["Department of Computer Science, University of Houston, Houston, TX"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Houston, Houston, TX","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100329232","display_name":"Yiqun Zhang","orcid":"https://orcid.org/0000-0002-0328-987X"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yiqun Zhang","raw_affiliation_strings":["Department of Computer Science, University of Houston, Houston, TX"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Houston, Houston, TX","institution_ids":["https://openalex.org/I44461941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005852825","display_name":"Wellington Cabrera","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wellington Cabrera","raw_affiliation_strings":["Department of Computer Science, University of Houston, Houston, TX"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Houston, Houston, TX","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031610238"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":7.2527,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.97545608,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"28","issue":"7","first_page":"1905","last_page":"1918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9954000115394592,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/automatic-summarization","display_name":"Automatic summarization","score":0.8556630611419678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8431957960128784},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5889528393745422},{"id":"https://openalex.org/keywords/spark","display_name":"SPARK (programming language)","score":0.5766958594322205},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5229295492172241},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.5051191449165344},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.45444828271865845},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4487548768520355},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.429605096578598},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3968527019023895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35971856117248535},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33614566922187805},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.2522715926170349},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17903339862823486}],"concepts":[{"id":"https://openalex.org/C170858558","wikidata":"https://www.wikidata.org/wiki/Q1394144","display_name":"Automatic summarization","level":2,"score":0.8556630611419678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8431957960128784},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5889528393745422},{"id":"https://openalex.org/C2781215313","wikidata":"https://www.wikidata.org/wiki/Q3493345","display_name":"SPARK (programming language)","level":2,"score":0.5766958594322205},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5229295492172241},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.5051191449165344},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.45444828271865845},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4487548768520355},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.429605096578598},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3968527019023895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35971856117248535},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33614566922187805},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.2522715926170349},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17903339862823486},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tkde.2016.2545664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2016.2545664","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W147860157","https://openalex.org/W1480376833","https://openalex.org/W1552224009","https://openalex.org/W1602551265","https://openalex.org/W1760551737","https://openalex.org/W1791587242","https://openalex.org/W1964477602","https://openalex.org/W1966901553","https://openalex.org/W1980147176","https://openalex.org/W1986844835","https://openalex.org/W1997120656","https://openalex.org/W1997200791","https://openalex.org/W2028045344","https://openalex.org/W2043804332","https://openalex.org/W2044490410","https://openalex.org/W2044849727","https://openalex.org/W2065607954","https://openalex.org/W2088083083","https://openalex.org/W2089908605","https://openalex.org/W2095897464","https://openalex.org/W2117211970","https://openalex.org/W2119370163","https://openalex.org/W2121737596","https://openalex.org/W2123824212","https://openalex.org/W2132087961","https://openalex.org/W2152372455","https://openalex.org/W2169251528","https://openalex.org/W2189465200","https://openalex.org/W2950615391","https://openalex.org/W3106161546","https://openalex.org/W3138367763","https://openalex.org/W3139361274","https://openalex.org/W4232383088","https://openalex.org/W4245019076","https://openalex.org/W4301491118","https://openalex.org/W6606145560","https://openalex.org/W6638231387","https://openalex.org/W6641446191","https://openalex.org/W6682181441","https://openalex.org/W6687322159"],"related_works":["https://openalex.org/W2366403280","https://openalex.org/W1495108544","https://openalex.org/W2091301346","https://openalex.org/W3148229873","https://openalex.org/W2150160875","https://openalex.org/W4312905869","https://openalex.org/W4308507533","https://openalex.org/W2407107767","https://openalex.org/W2901787049","https://openalex.org/W2792181990"],"abstract_inverted_index":{"Data":[0],"summarization":[1,50,59,72,84,93,137,161],"is":[2,123,239],"an":[3,199],"essential":[4,96],"mechanism":[5],"to":[6,65,108,171],"accelerate":[7],"analytic":[8],"algorithms":[9,107],"on":[10,38,57,163],"large":[11,24],"data":[12,49,75,101,121,194],"sets.":[13],"On":[14],"the":[15,58,74,83,100,116,120,128,156,160,164,175,248],"other":[16],"hand,":[17],"array":[18,35,167,188],"DBMSs":[19],"enable":[20],"scalable":[21,244],"computation":[22,158],"with":[23,224],"matrices.":[25],"With":[26],"that":[27,45],"motivation":[28],"in":[29,67,77,86,111,174],"mind,":[30],"we":[31,134,153,184],"propose":[32],"a":[33,39,47,150,205],"parallel":[34,166],"operator,":[36],"based":[37,56],"specific":[40],"form":[41],"of":[42,73,99,118,130,159],"matrix":[43,85,94,138,162],"multiplication,":[44],"computes":[46],"comprehensive":[48],"matrix.":[51],"By":[52],"deriving":[53],"equivalent":[54],"equations":[55],"matrix,":[60],"statistical":[61,97,140,178],"methods":[62],"are":[63],"adapted":[64],"work":[66,109],"two":[68,186],"phases:":[69],"(1)":[70],"Parallel":[71],"set":[76,102,122],"one":[78],"pass;":[79],"(2)":[80],"Iteration":[81],"exploiting":[82],"many":[87],"intermediate":[88],"computations.":[89],"We":[90,197],"prove":[91],"our":[92,136,236],"captures":[95],"properties":[98],"and":[103,125,146,169,192,212,229,242,247],"it":[104,173],"allows":[105],"iterative":[106],"faster":[110,241],"main":[112,227],"memory,":[113],"by":[114,126],"decreasing":[115],"number":[117,129],"times":[119],"scanned,":[124],"reducing":[127],"CPU":[131],"operations.":[132],"Specifically,":[133],"show":[135,220],"benefits":[139],"models,":[141],"including":[142],"PCA,":[143],"linear":[144],"regression,":[145],"variable":[147],"selection.":[148],"From":[149],"systems":[151],"perspective,":[152],"carefully":[154],"study":[155],"efficient":[157],"SciDB":[165,225],"DBMS":[168,207],"how":[170],"exploit":[172],"R":[176,221],"language":[177],"system.":[179],"To":[180],"achieve":[181],"best":[182],"performance,":[183],"introduce":[185],"specialized":[187],"operators":[189],"for":[190],"dense":[191],"sparse":[193],"sets,":[195],"respectively.":[196],"present":[198],"experimental":[200],"evaluation":[201],"comparing":[202],"SciDB,":[203],"R,":[204],"columnar":[206,249],"(a":[208,214],"fast":[209],"SQL":[210],"engine),":[211],"Spark":[213,246],"popular":[215],"Hadoop":[216],"system).":[217],"Our":[218],"experiments":[219],"working":[222],"together":[223],"eliminates":[226],"memory":[228],"performance":[230],"limitations":[231],"from":[232],"R.":[233],"More":[234],"importantly,":[235],"R+SciDB":[237],"prototype":[238],"significantly":[240],"more":[243],"than":[245],"DBMS.":[250]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}