{"id":"https://openalex.org/W7150934238","doi":"https://doi.org/10.1007/s00607-026-01656-7","title":"Adaptive mixed-precision Monte Carlo integration on GPUs","display_name":"Adaptive mixed-precision Monte Carlo integration on GPUs","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7150934238","doi":"https://doi.org/10.1007/s00607-026-01656-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-026-01656-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-026-01656-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-026-01656-7.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00607-026-01656-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133032907","display_name":"Ferhat Onur \u00d6zgan","orcid":null},"institutions":[{"id":"https://openalex.org/I149218525","display_name":"Ankara University","ror":"https://ror.org/01wntqw50","country_code":"TR","type":"education","lineage":["https://openalex.org/I149218525"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ferhat Onur \u00d6zgan","raw_affiliation_strings":["Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey","institution_ids":["https://openalex.org/I149218525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133001276","display_name":"Berke Kabasakal","orcid":null},"institutions":[{"id":"https://openalex.org/I149218525","display_name":"Ankara University","ror":"https://ror.org/01wntqw50","country_code":"TR","type":"education","lineage":["https://openalex.org/I149218525"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Berke Kabasakal","raw_affiliation_strings":["Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey","institution_ids":["https://openalex.org/I149218525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026736773","display_name":"F. Sukru Torun","orcid":"https://orcid.org/0000-0002-6662-2502"},"institutions":[{"id":"https://openalex.org/I149218525","display_name":"Ankara University","ror":"https://ror.org/01wntqw50","country_code":"TR","type":"education","lineage":["https://openalex.org/I149218525"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Fahreddin \u015e\u00fckr\u00fc Torun","raw_affiliation_strings":["Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t University, 06020, Ankara, Turkey","institution_ids":["https://openalex.org/I149218525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026736773"],"corresponding_institution_ids":["https://openalex.org/I149218525"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.6573399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"108","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.2134999930858612,"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":0.2134999930858612,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.1738000065088272,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.13979999721050262,"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/cuda","display_name":"CUDA","score":0.7315999865531921},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5946999788284302},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5867999792098999},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5728999972343445},{"id":"https://openalex.org/keywords/double-precision-floating-point-format","display_name":"Double-precision floating-point format","score":0.5081999897956848},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4724000096321106},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.4251999855041504}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8043000102043152},{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.7315999865531921},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5946999788284302},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5867999792098999},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5728999972343445},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5324000120162964},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.5081999897956848},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49320000410079956},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4832000136375427},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4724000096321106},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.4251999855041504},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4081000089645386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3772999942302704},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.33880001306533813},{"id":"https://openalex.org/C50630238","wikidata":"https://www.wikidata.org/wiki/Q971505","display_name":"General-purpose computing on graphics processing units","level":3,"score":0.3050000071525574},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.28049999475479126},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C133095886","wikidata":"https://www.wikidata.org/wiki/Q1307173","display_name":"Single-precision floating-point format","level":3,"score":0.26100000739097595},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.2587999999523163},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.25440001487731934}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00607-026-01656-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-026-01656-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-026-01656-7.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00607-026-01656-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00607-026-01656-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00607-026-01656-7.pdf","source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320328664","display_name":"Ankara Y\u0131ld\u0131r\u0131m Beyaz\u0131t \u00dcniversitesi","ror":"https://ror.org/05ryemn72"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7150934238.pdf","grobid_xml":"https://content.openalex.org/works/W7150934238.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2004971474","https://openalex.org/W2019920001","https://openalex.org/W2103340675","https://openalex.org/W2119880784","https://openalex.org/W2151084831","https://openalex.org/W4255299209","https://openalex.org/W4285260966","https://openalex.org/W4387461179","https://openalex.org/W4407497842"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Monte":[1],"Carlo":[2],"integration":[3,135],"(MCI)":[4],"is":[5],"widely":[6],"used":[7],"for":[8,148],"evaluating":[9],"high-dimensional":[10],"or":[11],"non-analytic":[12],"functions,":[13],"but":[14],"its":[15],"large":[16],"number":[17],"of":[18,99,104],"function":[19],"evaluations":[20],"can":[21],"make":[22],"it":[23],"computationally":[24],"demanding.":[25],"As":[26],"modern":[27],"scientific":[28],"applications":[29],"increasingly":[30],"rely":[31],"on":[32,60,95,137],"GPU":[33,91],"acceleration,":[34],"balancing":[35],"numerical":[36,62,131],"accuracy":[37],"and":[38,70,81,130,142],"performance":[39],"has":[40],"become":[41],"a":[42,50,124],"key":[43],"challenge.":[44],"To":[45],"address":[46],"this,":[47],"we":[48],"present":[49],"GPU-accelerated":[51],"mixed-precision":[52],"MCI":[53],"framework":[54,122],"that":[55],"adaptively":[56],"selects":[57],"precision":[58,75,146],"based":[59],"local":[61],"behavior":[63],"using":[64],"heuristics":[65],"derived":[66],"from":[67],"gradient,":[68],"variance,":[69],"average":[71],"value":[72],"analysis.":[73],"Two":[74],"allocation":[76],"strategies":[77],"are":[78],"explored:":[79],"term-wise":[80],"region-wise,":[82],"both":[83],"implemented":[84],"with":[85],"CUDA":[86],"batch":[87],"processing":[88],"to":[89,106,111,139,143],"maximize":[90],"efficiency.":[92],"Experimental":[93],"results":[94],"representative":[96],"test":[97],"functions":[98],"varying":[100],"dimensionality":[101],"demonstrate":[102],"speedups":[103],"up":[105],"4.9":[107],"$$\\times":[108],"$$":[109],"compared":[110],"full":[112],"double":[113],"precision,":[114],"while":[115],"maintaining":[116],"controlled":[117],"relative":[118],"error.":[119],"The":[120],"proposed":[121],"achieves":[123],"practical":[125],"balance":[126],"between":[127],"computational":[128],"efficiency":[129],"reliability.":[132],"It":[133],"allows":[134],"tasks":[136],"GPUs":[138],"run":[140],"accurately":[141],"adapt":[144],"their":[145],"automatically":[147],"higher":[149],"performance.":[150]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2026-04-07T00:00:00"}