{"id":"https://openalex.org/W2990474255","doi":"https://doi.org/10.1109/hpec.2019.8916468","title":"Application of Approximate Matrix Multiplication to Neural Networks and Distributed SLAM","display_name":"Application of Approximate Matrix Multiplication to Neural Networks and Distributed SLAM","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2990474255","doi":"https://doi.org/10.1109/hpec.2019.8916468","mag":"2990474255"},"language":"en","primary_location":{"id":"doi:10.1109/hpec.2019.8916468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpec.2019.8916468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE High Performance Extreme Computing Conference (HPEC)","raw_type":"proceedings-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/A5019062457","display_name":"Brian Plancher","orcid":"https://orcid.org/0000-0002-0078-3653"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian Plancher","raw_affiliation_strings":["Harvard University, Cambridge, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056317020","display_name":"Camelia D. Brumar","orcid":null},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Camelia D. Brumar","raw_affiliation_strings":["Worcester Polytechnic Institute, Worcester, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Worcester Polytechnic Institute, Worcester, Massachusetts","institution_ids":["https://openalex.org/I107077323"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014379085","display_name":"Iulian Brumar","orcid":"https://orcid.org/0000-0003-0403-856X"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iulian Brumar","raw_affiliation_strings":["Harvard University, Cambridge, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086251333","display_name":"Lillian Pentecost","orcid":"https://orcid.org/0000-0002-6204-1938"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lillian Pentecost","raw_affiliation_strings":["Harvard University, Cambridge, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053283610","display_name":"Saketh Rama","orcid":"https://orcid.org/0000-0001-9528-5966"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saketh Rama","raw_affiliation_strings":["Harvard University, Cambridge, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026496503","display_name":"David Brooks","orcid":"https://orcid.org/0000-0002-0662-7889"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Brooks","raw_affiliation_strings":["Harvard University, Cambridge, Massachusetts"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge, Massachusetts","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5019062457"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.4201,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72043441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"13","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.998199999332428,"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/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mnist-database","display_name":"MNIST database","score":0.8261508941650391},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.7526717782020569},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7389655113220215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6757681369781494},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5461387634277344},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5397911667823792},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5329654216766357},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4344313144683838},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4137979745864868},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39550554752349854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17977765202522278}],"concepts":[{"id":"https://openalex.org/C190502265","wikidata":"https://www.wikidata.org/wiki/Q17069496","display_name":"MNIST database","level":3,"score":0.8261508941650391},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7526717782020569},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7389655113220215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6757681369781494},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5461387634277344},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5397911667823792},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5329654216766357},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4344313144683838},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4137979745864868},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39550554752349854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17977765202522278},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/hpec.2019.8916468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/hpec.2019.8916468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE High Performance Extreme Computing Conference (HPEC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1490092700","https://openalex.org/W1509443229","https://openalex.org/W1551209770","https://openalex.org/W1841592590","https://openalex.org/W1929593512","https://openalex.org/W1970576574","https://openalex.org/W1981364618","https://openalex.org/W2003690406","https://openalex.org/W2004026774","https://openalex.org/W2014620461","https://openalex.org/W2035080386","https://openalex.org/W2042465463","https://openalex.org/W2044610104","https://openalex.org/W2045390367","https://openalex.org/W2058512713","https://openalex.org/W2103318769","https://openalex.org/W2117756735","https://openalex.org/W2127578024","https://openalex.org/W2133157266","https://openalex.org/W2142883190","https://openalex.org/W2146881125","https://openalex.org/W2169661502","https://openalex.org/W2201600774","https://openalex.org/W2332909542","https://openalex.org/W2513554817","https://openalex.org/W2606722458","https://openalex.org/W2733069997","https://openalex.org/W2745584882","https://openalex.org/W2752031649","https://openalex.org/W2767260595","https://openalex.org/W2803140585","https://openalex.org/W2809188712","https://openalex.org/W2963048316","https://openalex.org/W2963098024","https://openalex.org/W2963374099","https://openalex.org/W2963576971","https://openalex.org/W2964299589","https://openalex.org/W4211087647","https://openalex.org/W4243341520","https://openalex.org/W4252174618","https://openalex.org/W4256299577","https://openalex.org/W4300772464","https://openalex.org/W6629082412","https://openalex.org/W6630562399","https://openalex.org/W6638783484","https://openalex.org/W6640454944","https://openalex.org/W6679667936","https://openalex.org/W6684754188","https://openalex.org/W6751282562"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W2995605830","https://openalex.org/W4206811032","https://openalex.org/W2086123442","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2093666864"],"abstract_inverted_index":{"Computational":[0],"efficiency":[1],"is":[2,172],"a":[3,7,108],"critical":[4],"constraint":[5],"for":[6,49,72,112,132],"variety":[8],"of":[9,26,57,94,101,163],"cutting-edge":[10],"real-time":[11],"applications.":[12],"In":[13],"this":[14],"work,":[15],"we":[16,39,75],"identify":[17],"an":[18,81,153],"opportunity":[19],"to":[20,44,53,156],"speed":[21,100],"up":[22],"the":[23,54,92,99,116,121,133,158],"end-to-end":[24],"runtime":[25],"two":[27],"such":[28],"compute":[29],"bound":[30],"applications":[31,103,138],"by":[32,104],"incorporating":[33],"approximate":[34,41],"linear":[35],"algebra":[36],"techniques.":[37],"Particularly,":[38],"apply":[40,88],"matrix":[42,73,149],"multiplication":[43,150],"artificial":[45],"Neural":[46],"Networks":[47],"(NNs)":[48],"image":[50],"classification":[51,110],"and":[52,61,80,96,119,160],"robotics":[55],"problem":[56],"Distributed":[58],"Simultaneous":[59],"Localization":[60],"Mapping":[62],"(DSLAM).":[63],"Expanding":[64],"upon":[65],"recent":[66],"sampling-based":[67],"Monte":[68,147],"Carlo":[69,148],"approximation":[70],"strategies":[71],"multiplication,":[74],"develop":[76],"updated":[77],"theoretical":[78],"bounds,":[79],"adaptive":[82],"error":[83,125],"prediction":[84],"strategy.":[85],"We":[86],"then":[87],"these":[89,175],"techniques":[90,176],"in":[91,141,181],"context":[93],"NNs":[95,113],"DSLAM":[97],"increasing":[98],"both":[102,137],"15-20%":[105],"while":[106],"maintaining":[107],"97%":[109],"accuracy":[111],"running":[114],"on":[115],"MNIST":[117],"dataset":[118],"keeping":[120],"average":[122],"robot":[123],"position":[124],"under":[126],"1":[127],"meter":[128],"(vs":[129],"0.32":[130],"meters":[131],"exact":[134],"solution).":[135],"However,":[136],"experience":[139],"variance":[140],"their":[142],"results.":[143],"This":[144],"suggests":[145],"that":[146],"may":[151],"be":[152,178],"effective":[154],"technique":[155],"reduce":[157],"memory":[159],"computational":[161],"burden":[162],"certain":[164],"algorithms":[165],"when":[166],"used":[167,180],"carefully,":[168],"but":[169],"more":[170],"research":[171],"needed":[173],"before":[174],"can":[177],"widely":[179],"practice.":[182]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
