{"id":"https://openalex.org/W4406458756","doi":"https://doi.org/10.1109/bigdata62323.2024.10825010","title":"Faster Sampling Algorithms for Polytopes with Small Treewidth","display_name":"Faster Sampling Algorithms for Polytopes with Small Treewidth","publication_year":2024,"publication_date":"2024-12-15","ids":{"openalex":"https://openalex.org/W4406458756","doi":"https://doi.org/10.1109/bigdata62323.2024.10825010"},"language":"en","primary_location":{"id":"doi:10.1109/bigdata62323.2024.10825010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bigdata62323.2024.10825010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Conference on Big Data (BigData)","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/A5105662636","display_name":"Yang Ke","orcid":"https://orcid.org/0000-0003-4394-8814"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yekun Ke","raw_affiliation_strings":["University of Washington,Department of Computer Science,Seattle,WA"],"affiliations":[{"raw_affiliation_string":"University of Washington,Department of Computer Science,Seattle,WA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083084103","display_name":"Xiaoyu Li","orcid":"https://orcid.org/0009-0007-3006-3060"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoyu Li","raw_affiliation_strings":["Stevens Institute of Technology,Department of Computer Science,Hoboken,NJ"],"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology,Department of Computer Science,Hoboken,NJ","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103280080","display_name":"Zhao Song","orcid":"https://orcid.org/0000-0003-4589-5234"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhao Song","raw_affiliation_strings":["The Simons Institute for the Theory of Computing University of California, Berkeley,Berkeley,CA"],"affiliations":[{"raw_affiliation_string":"The Simons Institute for the Theory of Computing University of California, Berkeley,Berkeley,CA","institution_ids":["https://openalex.org/I4210107338","https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039076312","display_name":"Tianyi Zhou","orcid":"https://orcid.org/0000-0001-5348-0632"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tianyi Zhou","raw_affiliation_strings":["University of Southern California,Department of Computer Science,Los Angeles,CA"],"affiliations":[{"raw_affiliation_string":"University of Southern California,Department of Computer Science,Los Angeles,CA","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5105662636"],"corresponding_institution_ids":["https://openalex.org/I201448701"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.50890067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"44","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9977999925613403,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.7711824774742126},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.680932879447937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5977498292922974},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5047234296798706},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5031065344810486},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2988399863243103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2558043599128723},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23340487480163574},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.17964649200439453},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.1111234724521637},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.06504127383232117},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06405273079872131}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7711824774742126},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.680932879447937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5977498292922974},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5047234296798706},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5031065344810486},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2988399863243103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2558043599128723},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23340487480163574},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.17964649200439453},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1111234724521637},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.06504127383232117},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06405273079872131},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bigdata62323.2024.10825010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bigdata62323.2024.10825010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Conference on Big Data (BigData)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":148,"referenced_works":["https://openalex.org/W398859631","https://openalex.org/W1520511539","https://openalex.org/W1592423241","https://openalex.org/W1996999318","https://openalex.org/W2022004112","https://openalex.org/W2027562075","https://openalex.org/W2049825392","https://openalex.org/W2069291005","https://openalex.org/W2069691149","https://openalex.org/W2101043704","https://openalex.org/W2121689290","https://openalex.org/W2134342155","https://openalex.org/W2145089782","https://openalex.org/W2151717357","https://openalex.org/W2184196663","https://openalex.org/W2249739104","https://openalex.org/W2408897693","https://openalex.org/W2464637846","https://openalex.org/W2479585433","https://openalex.org/W2562438252","https://openalex.org/W2765848362","https://openalex.org/W2782853928","https://openalex.org/W2885880010","https://openalex.org/W2898324627","https://openalex.org/W2944079414","https://openalex.org/W2945554113","https://openalex.org/W2946840143","https://openalex.org/W2947461788","https://openalex.org/W2948046738","https://openalex.org/W2949804919","https://openalex.org/W2950987997","https://openalex.org/W2962857086","https://openalex.org/W2962921664","https://openalex.org/W2963559717","https://openalex.org/W2963758424","https://openalex.org/W2964137844","https://openalex.org/W2964229241","https://openalex.org/W2971043187","https://openalex.org/W2971130120","https://openalex.org/W2975935587","https://openalex.org/W2986773320","https://openalex.org/W3016390036","https://openalex.org/W3017378904","https://openalex.org/W3021189130","https://openalex.org/W3036165826","https://openalex.org/W3085590022","https://openalex.org/W3093860203","https://openalex.org/W3098047114","https://openalex.org/W3098560605","https://openalex.org/W3101014297","https://openalex.org/W3126188815","https://openalex.org/W3160597273","https://openalex.org/W3172082352","https://openalex.org/W4200630731","https://openalex.org/W4230551286","https://openalex.org/W4252213128","https://openalex.org/W4283318615","https://openalex.org/W4289436733","https://openalex.org/W4309044967","https://openalex.org/W4310285840","https://openalex.org/W4310413662","https://openalex.org/W4313227168","https://openalex.org/W4317464013","https://openalex.org/W4321448320","https://openalex.org/W4321649021","https://openalex.org/W4361230827","https://openalex.org/W4361806691","https://openalex.org/W4366735484","https://openalex.org/W4367694567","https://openalex.org/W4379539416","https://openalex.org/W4384390036","https://openalex.org/W4385965866","https://openalex.org/W4386081455","https://openalex.org/W4393160370","https://openalex.org/W4399115608","https://openalex.org/W4402426819","https://openalex.org/W4402699832","https://openalex.org/W4402701877","https://openalex.org/W4403564681","https://openalex.org/W4403573649","https://openalex.org/W4403573651","https://openalex.org/W4403573665","https://openalex.org/W4403580695","https://openalex.org/W4405622284","https://openalex.org/W4406059550","https://openalex.org/W6607770795","https://openalex.org/W6683227944","https://openalex.org/W6686628627","https://openalex.org/W6694887333","https://openalex.org/W6730038592","https://openalex.org/W6738415150","https://openalex.org/W6743870702","https://openalex.org/W6745371223","https://openalex.org/W6751752744","https://openalex.org/W6753918066","https://openalex.org/W6755150206","https://openalex.org/W6755938841","https://openalex.org/W6756091659","https://openalex.org/W6758902322","https://openalex.org/W6761496057","https://openalex.org/W6762441359","https://openalex.org/W6762509329","https://openalex.org/W6762665240","https://openalex.org/W6763047453","https://openalex.org/W6763304541","https://openalex.org/W6763368363","https://openalex.org/W6763681727","https://openalex.org/W6767244023","https://openalex.org/W6767849677","https://openalex.org/W6768178264","https://openalex.org/W6773538819","https://openalex.org/W6776542292","https://openalex.org/W6780897730","https://openalex.org/W6782948483","https://openalex.org/W6783457755","https://openalex.org/W6784955064","https://openalex.org/W6785560693","https://openalex.org/W6790787854","https://openalex.org/W6795491883","https://openalex.org/W6796340207","https://openalex.org/W6805703236","https://openalex.org/W6839379429","https://openalex.org/W6839673144","https://openalex.org/W6846303937","https://openalex.org/W6846446373","https://openalex.org/W6846737073","https://openalex.org/W6846885728","https://openalex.org/W6847176114","https://openalex.org/W6848617712","https://openalex.org/W6850341263","https://openalex.org/W6851096460","https://openalex.org/W6851409614","https://openalex.org/W6851978508","https://openalex.org/W6852307388","https://openalex.org/W6853081871","https://openalex.org/W6855278203","https://openalex.org/W6855345277","https://openalex.org/W6855836303","https://openalex.org/W6856125226","https://openalex.org/W6871571102","https://openalex.org/W6872490206","https://openalex.org/W6872829819","https://openalex.org/W6872943007","https://openalex.org/W6873160360","https://openalex.org/W6873336637","https://openalex.org/W6873776458","https://openalex.org/W6875731143","https://openalex.org/W6876316728"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4280529077","https://openalex.org/W1493684871","https://openalex.org/W2886567582","https://openalex.org/W4390962314","https://openalex.org/W4289703404","https://openalex.org/W2999175164","https://openalex.org/W4387265813"],"abstract_inverted_index":{"Sampling":[0],"is":[1,20,24,35],"a":[2,27,83,87],"fundamental":[3],"problem":[4],"in":[5,64,69],"optimization,":[6],"machine":[7],"learning":[8],"and":[9,49,119],"theoretical":[10],"computer":[11],"science.":[12],"A":[13,89],"common":[14],"region":[15],"of":[16,29,67,102,136],"interest":[17],"for":[18,73,105,110],"sampling":[19,36,68,108],"the":[21,60,65,74,99,132,137],"polytope,":[22],"which":[23],"defined":[25,85],"by":[26,86,130],"set":[28],"linear":[30,71],"inequalities.":[31],"The":[32],"algorithm":[33],"that":[34,76],"from":[37,122],"polytopes":[38,111],"usually":[39],"requires":[40],"heavy":[41,61],"matrix":[42,45,47,50,62,88],"algebra,":[43],"including":[44],"multiplication,":[46],"inversion":[48],"determinant.":[51],"In":[52,80],"this":[53],"work,":[54],"we":[55,97],"show":[56],"how":[57],"to":[58,126],"implement":[59],"algebra":[63],"area":[66],"nearly":[70],"time":[72,101],"polytope":[75,84],"has":[77],"small":[78,133],"treewidth.":[79],"particular,":[81],"given":[82],"\u2208":[90],"\u211d<sup":[91],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[92,124,128],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n\u00d7d</sup>":[93],"with":[94],"treewidth":[95,134],"\u03c4,":[96],"improve":[98],"running":[100],"each":[103],"iteration":[104],"three":[106],"typical":[107],"algorithms":[109],"such":[112],"as":[113],"Dikin":[114,117],"Walk,":[115],"Soft-Threshold":[116],"Walk":[118,121],"Vaidya":[120],"O(nd<sup":[123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>)":[125,129],"O(n\u03c4<sup":[127],"exploiting":[131],"structures":[135],"matrices.":[138]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}