{"id":"https://openalex.org/W2021466611","doi":"https://doi.org/10.1109/fpt.2013.6718401","title":"Revisiting the reduction circuit: A case study for simultaneous architecture and precision optimisation","display_name":"Revisiting the reduction circuit: A case study for simultaneous architecture and precision optimisation","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2021466611","doi":"https://doi.org/10.1109/fpt.2013.6718401","mag":"2021466611"},"language":"en","primary_location":{"id":"doi:10.1109/fpt.2013.6718401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpt.2013.6718401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Field-Programmable Technology (FPT)","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/A5040792997","display_name":"David Boland","orcid":"https://orcid.org/0000-0001-5370-4464"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"David Boland","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029829952","display_name":"George A. Constantinides","orcid":"https://orcid.org/0000-0002-0201-310X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"George Constantinides","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial College London, London, United Kingdom","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Eng., Imperial Coll., London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.3173,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59996556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"410","last_page":"413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/datapath","display_name":"Datapath","score":0.908937931060791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7496709227561951},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6188881397247314},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.603893518447876},{"id":"https://openalex.org/keywords/word-length","display_name":"Word length","score":0.5768581032752991},{"id":"https://openalex.org/keywords/design-flow","display_name":"Design flow","score":0.4990112781524658},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.46398451924324036},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4418538808822632},{"id":"https://openalex.org/keywords/computer-architecture","display_name":"Computer architecture","score":0.44035786390304565},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.43442240357398987},{"id":"https://openalex.org/keywords/high-level-synthesis","display_name":"High-level synthesis","score":0.42994844913482666},{"id":"https://openalex.org/keywords/architecture","display_name":"Architecture","score":0.42765557765960693},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4159303903579712},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.32949602603912354},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.27124661207199097},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.2505519390106201},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14499995112419128}],"concepts":[{"id":"https://openalex.org/C2781198647","wikidata":"https://www.wikidata.org/wiki/Q1633673","display_name":"Datapath","level":2,"score":0.908937931060791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7496709227561951},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6188881397247314},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.603893518447876},{"id":"https://openalex.org/C3019641298","wikidata":"https://www.wikidata.org/wiki/Q625642","display_name":"Word length","level":2,"score":0.5768581032752991},{"id":"https://openalex.org/C37135326","wikidata":"https://www.wikidata.org/wiki/Q931942","display_name":"Design flow","level":2,"score":0.4990112781524658},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.46398451924324036},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4418538808822632},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.44035786390304565},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.43442240357398987},{"id":"https://openalex.org/C58013763","wikidata":"https://www.wikidata.org/wiki/Q5754574","display_name":"High-level synthesis","level":3,"score":0.42994844913482666},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.42765557765960693},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4159303903579712},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.32949602603912354},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.27124661207199097},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.2505519390106201},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14499995112419128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fpt.2013.6718401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpt.2013.6718401","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 International Conference on Field-Programmable Technology (FPT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1527834376","https://openalex.org/W1656620728","https://openalex.org/W2020804487","https://openalex.org/W2077428505","https://openalex.org/W2083682931","https://openalex.org/W2091059698","https://openalex.org/W2106854617","https://openalex.org/W2106942255","https://openalex.org/W2124408528","https://openalex.org/W2125385721","https://openalex.org/W2152567198","https://openalex.org/W2153220642","https://openalex.org/W2164261830","https://openalex.org/W2169941994","https://openalex.org/W6631726797","https://openalex.org/W6636910806"],"related_works":["https://openalex.org/W2119527718","https://openalex.org/W2166021916","https://openalex.org/W1903431847","https://openalex.org/W2070693700","https://openalex.org/W1994884893","https://openalex.org/W1839177134","https://openalex.org/W2004001588","https://openalex.org/W2135482679","https://openalex.org/W2084005807","https://openalex.org/W2137686989"],"abstract_inverted_index":{"Word-length":[0],"optimisation":[1,30,131],"techniques":[2,31,132],"have":[3],"traditionally":[4],"been":[5],"used":[6],"to":[7,17,32,73,133],"minimise":[8],"the":[9,42,55,111,137,145],"precision":[10],"in":[11,39],"a":[12,18,34,78,93,102],"fixed":[13,79],"hardware":[14,35],"datapath":[15,36,117],"subject":[16],"given":[19,69],"error":[20,80],"tolerance.":[21],"In":[22],"this":[23,75,99,127],"paper,":[24],"we":[25,53,84,125],"discuss":[26],"how":[27,72],"using":[28],"word-length":[29,130],"structure":[33],"can":[37,85],"result":[38],"designs":[40],"achieving":[41],"same":[43,138],"functionality":[44],"with":[45],"even":[46],"less":[47],"silicon":[48,88],"area.":[49],"To":[50],"demonstrate":[51],"this,":[52],"revisit":[54],"addition":[56],"reduction":[57],"circuit":[58],"and":[59,81],"its":[60],"use":[61],"within":[62,144],"matrix-vector":[63],"multiplication.":[64],"Our":[65],"results":[66],"show":[67],"that":[68],"freedom":[70,115],"over":[71,116],"parallelise":[74],"circuit,":[76],"for":[77,121],"latency":[82],"budget":[83],"obtain":[86],"mean":[87],"area":[89],"savings":[90],"of":[91,109,148],"58%":[92],"typical":[94],"fixed-point":[95],"design.":[96,113],"We":[97],"achieve":[98],"by":[100],"creating":[101],"more":[103],"numerically":[104],"stable":[105],"parallel":[106],"architecture":[107],"instead":[108],"replicating":[110],"initial":[112],"Since":[114],"design":[118,146],"is":[119],"common":[120],"high-level":[122],"synthesis":[123],"tools,":[124],"hope":[126],"will":[128],"inspire":[129],"be":[134],"applied":[135],"at":[136],"time":[139],"as":[140],"making":[141],"structural":[142],"decisions":[143],"flow":[147],"these":[149],"tools.":[150]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}