{"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":"book-chapter","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":2,"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":3.538,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.93575513,"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":"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":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4384573303.pdf"},"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":[1,127,167],"problem":[2,33],"of":[3,16,21,41,77,98,110,130,139,163,205],"model":[4,58],"counting,":[5],"also":[6],"known":[7],"as":[8],"$$\\#\\textsf{SAT}$$":[9],",":[10,63,101,113,216],"is":[11,30,71,104,133,176],"to":[12,134,153],"compute":[13],"the":[14,68,78,136,189],"number":[15],"models":[17],"or":[18],"satisfying":[19],"assignments":[20],"a":[22,31,38,49,73,144,155,183,201,219],"given":[23],"Boolean":[24],"formula":[25],"F":[26],".":[27,87,166,194,225],"Model":[28],"counting":[29,59],"fundamental":[32],"in":[34,52,118,158],"computer":[35],"science":[36],"with":[37,81,124],"wide":[39],"range":[40],"applications.":[42],"In":[43,195],"recent":[44],"years,":[45],"there":[46],"has":[47],"been":[48],"growing":[50],"interest":[51],"using":[53],"hashing-based":[54,89,140],"techniques":[55,90],"for":[56,94,107,160],"approximate":[57],"that":[60,121,150],"provide":[61],"$$(\\varepsilon":[62],"\\delta":[64],")$$":[65,75],"-guarantees:":[66],"i.e.,":[67],"count":[69,80],"returned":[70],"within":[72],"$$(1+\\varepsilon":[74],"-factor":[76],"exact":[79],"confidence":[82],"at":[83,179],"least":[84],"$$1-\\delta":[85],"$$":[86,100,112,165,221],"While":[88],"attain":[91],"reasonable":[92],"scalability":[93,103],"large":[95],"enough":[96],"values":[97,109,162],"$$\\delta":[99,111,164],"their":[102,116],"severely":[105],"impacted":[106],"smaller":[108,161],"thereby":[114],"preventing":[115],"adoption":[117],"application":[119],"domains":[120],"require":[122],"estimates":[123],"high":[125],"confidence.":[126],"primary":[128],"contribution":[129],"this":[131],"paper":[132],"address":[135],"Achilles":[137],"heel":[138],"techniques:":[141],"we":[142],"propose":[143],"novel":[145],"approach":[146],"based":[147],"on":[148],"rounding":[149],"allows":[151],"us":[152],"achieve":[154],"significant":[156],"reduction":[157],"runtime":[159,185],"resulting":[168,173],"counter,":[169,192],"called":[170],"$$\\textsf{ApproxMC6}$$":[171,175,209],"(The":[172],"tool":[174],"available":[177],"open-source":[178],"https://github.com/meelgroup/approxmc":[180],"),":[181],"achieves":[182,218],"substantial":[184],"performance":[186],"improvement":[187],"over":[188,200,223],"current":[190],"state-of-the-art":[191],"$$\\textsf{ApproxMC}$$":[193,215,224],"particular,":[196],"our":[197],"extensive":[198],"evaluation":[199],"benchmark":[202],"suite":[203],"consisting":[204],"1890":[206],"instances":[207,213],"shows":[208],"solves":[210],"204":[211],"more":[212],"than":[214],"and":[217],"$$4\\times":[220],"speedup":[222]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}