{"id":"https://openalex.org/W4384573303","doi":"https://doi.org/10.1007/978-3-031-37703-7_7","title":"Rounding Meets Approximate Model Counting","display_name":"Rounding Meets Approximate Model Counting","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4384573303","doi":"https://doi.org/10.1007/978-3-031-37703-7_7"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-37703-7_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035483620","display_name":"Jiong Yang","orcid":"https://orcid.org/0000-0002-4141-5398"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Jiong Yang","raw_affiliation_strings":["National University of Singapore, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041528950","display_name":"Kuldeep S. Meel","orcid":"https://orcid.org/0000-0001-9423-5270"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Kuldeep S. Meel","raw_affiliation_strings":["National University of Singapore, Singapore, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035483620"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":1.6453,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86161199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"132","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9994000196456909,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9994000196456909,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9984999895095825,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/scalability","display_name":"Scalability","score":0.6436423659324646},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.5989382266998291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.524715781211853},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.49656134843826294},{"id":"https://openalex.org/keywords/counting-problem","display_name":"Counting problem","score":0.45931342244148254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44612473249435425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4401235580444336},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.43908652663230896},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.43561404943466187},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3422545790672302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22161725163459778},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20424813032150269}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6436423659324646},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.5989382266998291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.524715781211853},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.49656134843826294},{"id":"https://openalex.org/C16592021","wikidata":"https://www.wikidata.org/wiki/Q5177154","display_name":"Counting problem","level":2,"score":0.45931342244148254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44612473249435425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4401235580444336},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.43908652663230896},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.43561404943466187},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3422545790672302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22161725163459778},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20424813032150269},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-37703-7_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-37703-7_7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-37703-7_7","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-37703-7_7.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384573303.pdf","grobid_xml":"https://content.openalex.org/works/W4384573303.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1758913682","https://openalex.org/W2094878426","https://openalex.org/W2115826669","https://openalex.org/W2118547397","https://openalex.org/W2151536080","https://openalex.org/W2169660454","https://openalex.org/W2236948976","https://openalex.org/W2275461604","https://openalex.org/W2398191148","https://openalex.org/W2604440257","https://openalex.org/W2953089152","https://openalex.org/W2964396926","https://openalex.org/W2989358546","https://openalex.org/W3028996067","https://openalex.org/W3043665946","https://openalex.org/W3193877711","https://openalex.org/W3204797423","https://openalex.org/W4290052184","https://openalex.org/W4312121151","https://openalex.org/W4312721948"],"related_works":["https://openalex.org/W4220780102","https://openalex.org/W2410881844","https://openalex.org/W3196334750","https://openalex.org/W1502401885","https://openalex.org/W2004257129","https://openalex.org/W2116281088","https://openalex.org/W2357551824","https://openalex.org/W2019368960","https://openalex.org/W2016668641","https://openalex.org/W4686056"],"abstract_inverted_index":{"Abstract":[0],"The":[1,126,166],"problem":[2,32],"of":[3,16,21,40,76,97,109,129,138,162,204],"model":[4,57],"counting,":[5],"also":[6],"known":[7],"as":[8],"$$\\#\\textsf{SAT}$$":[9],",":[10,62,100,112,215],"is":[11,29,70,103,132,175],"to":[12,133,152],"compute":[13],"the":[14,67,77,135,188],"number":[15],"models":[17],"or":[18],"satisfying":[19],"assignments":[20],"a":[22,30,37,48,72,143,154,182,200,218],"given":[23],"Boolean":[24],"formula":[25],"F.":[26],"Model":[27],"counting":[28,58],"fundamental":[31],"in":[33,51,117,157],"computer":[34],"science":[35],"with":[36,80,123],"wide":[38],"range":[39],"applications.":[41],"In":[42,194],"recent":[43],"years,":[44],"there":[45],"has":[46],"been":[47],"growing":[49],"interest":[50],"using":[52],"hashing-based":[53,88,139],"techniques":[54,89],"for":[55,93,106,159],"approximate":[56],"that":[59,120,149],"provide":[60],"$$(\\varepsilon":[61],"\\delta":[63],")$$":[64,74],"-guarantees:":[65],"i.e.,":[66],"count":[68,79],"returned":[69],"within":[71],"$$(1+\\varepsilon":[73],"-factor":[75],"exact":[78],"confidence":[81],"at":[82,178],"least":[83],"$$1-\\delta":[84],"$$":[85,99,111,164,220],".":[86,165,193,224],"While":[87],"attain":[90],"reasonable":[91],"scalability":[92,102],"large":[94],"enough":[95],"values":[96,108,161],"$$\\delta":[98,110,163],"their":[101,115],"severely":[104],"impacted":[105],"smaller":[107,160],"thereby":[113],"preventing":[114],"adoption":[116],"application":[118],"domains":[119],"require":[121],"estimates":[122],"high":[124],"confidence.":[125],"primary":[127],"contribution":[128],"this":[130],"paper":[131],"address":[134],"Achilles":[136],"heel":[137],"techniques:":[140],"we":[141],"propose":[142],"novel":[144],"approach":[145],"based":[146],"on":[147],"rounding":[148],"allows":[150],"us":[151],"achieve":[153],"significant":[155],"reduction":[156],"runtime":[158,184],"resulting":[167,172],"counter,":[168,191],"called":[169],"$$\\textsf{ApproxMC6}$$":[170,174,208],"(The":[171],"tool":[173],"available":[176],"open-source":[177],"https://github.com/meelgroup/approxmc":[179],"),":[180],"achieves":[181,217],"substantial":[183],"performance":[185],"improvement":[186],"over":[187,199,222],"current":[189],"state-of-the-art":[190],"$$\\textsf{ApproxMC}$$":[192,214,223],"particular,":[195],"our":[196],"extensive":[197],"evaluation":[198],"benchmark":[201],"suite":[202],"consisting":[203],"1890":[205],"instances":[206,212],"shows":[207],"solves":[209],"204":[210],"more":[211],"than":[213],"and":[216],"$$4\\times":[219],"speedup":[221]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
