{"id":"https://openalex.org/W4406612560","doi":"https://doi.org/10.1109/wsc63780.2024.10838773","title":"An Improved Halton Sequence for Implementation in Quasi-Monte Carlo Methods","display_name":"An Improved Halton Sequence for Implementation in Quasi-Monte Carlo Methods","publication_year":2024,"publication_date":"2024-12-15","ids":{"openalex":"https://openalex.org/W4406612560","doi":"https://doi.org/10.1109/wsc63780.2024.10838773"},"language":"en","primary_location":{"id":"doi:10.1109/wsc63780.2024.10838773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsc63780.2024.10838773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 Winter Simulation Conference (WSC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5018973387","display_name":"Nathan Kirk","orcid":"https://orcid.org/0000-0002-3645-9994"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I4210156386","display_name":"Actua","ror":"https://ror.org/04pcj0h26","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210156386"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nathan Kirk","raw_affiliation_strings":["University of Waterloo,Dept. of Statistics and Actuarial Sciences,ON,CANADA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Dept. of Statistics and Actuarial Sciences,ON,CANADA","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046184976","display_name":"Christiane Lemieux","orcid":"https://orcid.org/0000-0002-6711-602X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I4210156386","display_name":"Actua","ror":"https://ror.org/04pcj0h26","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210156386"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Christiane Lemieux","raw_affiliation_strings":["University of Waterloo,Dept. of Statistics and Actuarial Sciences,ON,CANADA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo,Dept. of Statistics and Actuarial Sciences,ON,CANADA","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9601,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.97701149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"431","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9017000198364258,"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":0.9017000198364258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.7776558995246887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6759005784988403},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.504052996635437},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.33494076132774353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1191626787185669},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10264378786087036}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7776558995246887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6759005784988403},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.504052996635437},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.33494076132774353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1191626787185669},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10264378786087036},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wsc63780.2024.10838773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsc63780.2024.10838773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 Winter Simulation Conference (WSC)","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":28,"referenced_works":["https://openalex.org/W39759813","https://openalex.org/W1533955387","https://openalex.org/W1564001778","https://openalex.org/W1819831867","https://openalex.org/W1977347398","https://openalex.org/W1978501336","https://openalex.org/W1990618470","https://openalex.org/W2002869412","https://openalex.org/W2003784703","https://openalex.org/W2010364416","https://openalex.org/W2017001763","https://openalex.org/W2024427751","https://openalex.org/W2027430605","https://openalex.org/W2030109021","https://openalex.org/W2078012394","https://openalex.org/W2082673699","https://openalex.org/W2083253722","https://openalex.org/W2098269688","https://openalex.org/W2103255584","https://openalex.org/W2796561236","https://openalex.org/W2807940212","https://openalex.org/W3125876763","https://openalex.org/W3216945074","https://openalex.org/W4224936497","https://openalex.org/W4281642418","https://openalex.org/W6632298270","https://openalex.org/W6739221579","https://openalex.org/W6768738679"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Despite":[0],"possessing":[1],"the":[2,5,40,74,86],"low-discrepancy":[3],"property,":[4],"classical":[6],"d-dimensional":[7],"Halton":[8,54],"sequence":[9,55],"is":[10,92],"known":[11],"to":[12,46,73],"exhibit":[13],"poorly":[14],"distributed":[15],"projections":[16],"when$d$becomes":[17],"even":[18],"moderately":[19],"large.":[20],"This,":[21],"in":[22,30,35,78],"turn,":[23],"often":[24],"implies":[25],"bad":[26],"performance":[27,70],"when":[28],"implemented":[29],"quasi-Monte":[31],"Carlo":[32],"(QMC)":[33],"methods":[34],"comparison":[36],"to,":[37],"for":[38,85,94],"example,":[39],"Sobol\u2019":[41],"sequence.":[42],"As":[43],"an":[44,52],"attempt":[45],"eradicate":[47],"this":[48],"issue,":[49],"we":[50],"propose":[51],"adapted":[53],"built":[56],"by":[57],"integer":[58],"and":[59,66,81],"irrational":[60,95],"based":[61,96],"van":[62],"der":[63],"Corput":[64],"sequences":[65],"show":[67],"empirically":[68],"improved":[69],"with":[71],"respect":[72],"accuracy":[75],"of":[76],"estimates":[77],"numerical":[79],"integration":[80],"simulation.":[82],"In":[83],"addition,":[84],"first":[87],"time,":[88],"a":[89],"scrambling":[90],"algorithm":[91],"proposed":[93],"digital":[97],"sequences.":[98]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}