{"id":"https://openalex.org/W2122983882","doi":"https://doi.org/10.1109/asap.2008.4580163","title":"Low discrepancy sequences for Monte Carlo simulations on reconfigurable platforms","display_name":"Low discrepancy sequences for Monte Carlo simulations on reconfigurable platforms","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W2122983882","doi":"https://doi.org/10.1109/asap.2008.4580163","mag":"2122983882"},"language":"en","primary_location":{"id":"doi:10.1109/asap.2008.4580163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asap.2008.4580163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Application-Specific Systems, Architectures and Processors","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/A5088693384","display_name":"Ishaan L. Dalal","orcid":null},"institutions":[{"id":"https://openalex.org/I8031829","display_name":"Cooper Union","ror":"https://ror.org/05pbkcd34","country_code":"US","type":"education","lineage":["https://openalex.org/I8031829"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ishaan L. Dalal","raw_affiliation_strings":["Cooper Union for Advancement of Science and Art, New York, NY, USA","Cooper Union for the Advancement of Sci. & Art, New York, NY"],"affiliations":[{"raw_affiliation_string":"Cooper Union for Advancement of Science and Art, New York, NY, USA","institution_ids":["https://openalex.org/I8031829"]},{"raw_affiliation_string":"Cooper Union for the Advancement of Sci. & Art, New York, NY","institution_ids":["https://openalex.org/I8031829"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082723061","display_name":"Deian Stefan","orcid":"https://orcid.org/0000-0002-7041-7464"},"institutions":[{"id":"https://openalex.org/I8031829","display_name":"Cooper Union","ror":"https://ror.org/05pbkcd34","country_code":"US","type":"education","lineage":["https://openalex.org/I8031829"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deian Stefan","raw_affiliation_strings":["Cooper Union for Advancement of Science and Art, New York, NY, USA","Cooper Union for the Advancement of Sci. & Art, New York, NY"],"affiliations":[{"raw_affiliation_string":"Cooper Union for Advancement of Science and Art, New York, NY, USA","institution_ids":["https://openalex.org/I8031829"]},{"raw_affiliation_string":"Cooper Union for the Advancement of Sci. & Art, New York, NY","institution_ids":["https://openalex.org/I8031829"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021865349","display_name":"Jared Harwayne-Gidansky","orcid":null},"institutions":[{"id":"https://openalex.org/I8031829","display_name":"Cooper Union","ror":"https://ror.org/05pbkcd34","country_code":"US","type":"education","lineage":["https://openalex.org/I8031829"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jared Harwayne-Gidansky","raw_affiliation_strings":["Cooper Union for Advancement of Science and Art, New York, NY, USA","Cooper Union for the Advancement of Sci. & Art, New York, NY"],"affiliations":[{"raw_affiliation_string":"Cooper Union for Advancement of Science and Art, New York, NY, USA","institution_ids":["https://openalex.org/I8031829"]},{"raw_affiliation_string":"Cooper Union for the Advancement of Sci. & Art, New York, NY","institution_ids":["https://openalex.org/I8031829"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088693384"],"corresponding_institution_ids":["https://openalex.org/I8031829"],"apc_list":null,"apc_paid":null,"fwci":2.0536,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.86659168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"108","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9624000191688538,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9537000060081482,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/monte-carlo-method","display_name":"Monte Carlo method","score":0.8551421165466309},{"id":"https://openalex.org/keywords/sobol-sequence","display_name":"Sobol sequence","score":0.7848105430603027},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.647477388381958},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.6462003588676453},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6202453970909119},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.5240997076034546},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.500446081161499},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4760068356990814},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.4721001982688904},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.45363953709602356},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4329236149787903},{"id":"https://openalex.org/keywords/equidistributed-sequence","display_name":"Equidistributed sequence","score":0.42838168144226074},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.4168826639652252},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.37075942754745483},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.314738392829895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20660611987113953},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.09168216586112976},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08717486262321472}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.8551421165466309},{"id":"https://openalex.org/C49740808","wikidata":"https://www.wikidata.org/wiki/Q7550116","display_name":"Sobol sequence","level":3,"score":0.7848105430603027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.647477388381958},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.6462003588676453},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6202453970909119},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.5240997076034546},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.500446081161499},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4760068356990814},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.4721001982688904},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.45363953709602356},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4329236149787903},{"id":"https://openalex.org/C50742451","wikidata":"https://www.wikidata.org/wiki/Q1530388","display_name":"Equidistributed sequence","level":2,"score":0.42838168144226074},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.4168826639652252},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.37075942754745483},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.314738392829895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20660611987113953},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.09168216586112976},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08717486262321472},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/asap.2008.4580163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asap.2008.4580163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Application-Specific Systems, Architectures and Processors","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.672.5803","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.672.5803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scs.stanford.edu/%7Edeian/pubs/dalal%3A2008%3Alow.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.4300000071525574,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W45313460","https://openalex.org/W2009231757","https://openalex.org/W2016770622","https://openalex.org/W2017001763","https://openalex.org/W2042925520","https://openalex.org/W2043419861","https://openalex.org/W2084937640","https://openalex.org/W2110930696","https://openalex.org/W2114254569","https://openalex.org/W2166249186","https://openalex.org/W2228579993","https://openalex.org/W4300580367","https://openalex.org/W6601835974"],"related_works":["https://openalex.org/W2010380803","https://openalex.org/W4327852309","https://openalex.org/W590971457","https://openalex.org/W4297105707","https://openalex.org/W3565757","https://openalex.org/W1510139796","https://openalex.org/W2954556241","https://openalex.org/W4300764195","https://openalex.org/W72011800","https://openalex.org/W2166282503"],"abstract_inverted_index":{"Low-discrepancy":[0],"sequences,":[1,6],"also":[2],"known":[3],"as":[4,30,32,36,81],"ldquoquasi-randomrdquo":[5],"are":[7,10,66,74],"numbers":[8,50],"that":[9],"better":[11,56],"equidistributed":[12],"in":[13,27,108],"a":[14,148],"given":[15],"volume":[16],"than":[17,58],"pseudo-random":[18,62],"numbers.":[19,63],"Evaluation":[20],"of":[21,138,152,161],"high-dimensional":[22],"integrals":[23],"is":[24,39],"commonly":[25],"required":[26],"scientific":[28],"fields":[29],"well":[31],"other":[33],"areas":[34],"(such":[35],"finance),":[37],"and":[38,55,125],"performed":[40],"by":[41],"stochastic":[42],"Monte":[43,71],"Carlo":[44,72,96,165],"simulations.":[45],"Simulations":[46],"which":[47],"use":[48],"quasi-random":[49],"can":[51,144],"achieve":[52],"faster":[53],"convergence":[54],"accuracy":[57],"simulations":[59,65,73,97],"using":[60],"conventional":[61],"Such":[64],"called":[67],"Quasi-Monte":[68,95,164],"Carlo.":[69],"Conventional":[70],"increasingly":[75],"implemented":[76],"on":[77,132],"reconfigurable":[78],"devices":[79],"such":[80],"FPGAs":[82,134],"due":[83],"to":[84,99,116,147],"their":[85],"inherently":[86],"parallel":[87],"nature.":[88],"This":[89],"has":[90],"not":[91],"been":[92,106],"possible":[93],"for":[94,167],"because,":[98],"our":[100,142],"knowledge,":[101],"no":[102],"low-discrepancy":[103,121],"sequences":[104],"have":[105],"generated":[107],"hardware":[109],"before.":[110],"We":[111,127,154],"present":[112],"FPGA-optimized":[113],"scalable":[114],"designs":[115],"generate":[117],"three":[118,130],"different":[119],"common":[120],"sequences:":[122],"Sobol,":[123],"Niederreiter":[124],"Halton.":[126],"implement":[128],"these":[129],"generators":[131],"Virtex-4":[133],"with":[135,156],"varying":[136],"degrees":[137],"fine-grained":[139],"parallelization,":[140],"although":[141],"ideas":[143],"be":[145],"applied":[146],"far":[149],"broader":[150],"class":[151],"sequences.":[153],"conclude":[155],"results":[157],"from":[158,171],"the":[159],"implementation":[160],"an":[162],"actual":[163],"simulation":[166],"extracting":[168],"partial":[169],"inductances":[170],"integrated":[172],"circuits.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}