{"id":"https://openalex.org/W1996425101","doi":"https://doi.org/10.1145/2501221.2501227","title":"Solving combinatorial optimization problems using relaxed linear programming","display_name":"Solving combinatorial optimization problems using relaxed linear programming","publication_year":2013,"publication_date":"2013-07-30","ids":{"openalex":"https://openalex.org/W1996425101","doi":"https://doi.org/10.1145/2501221.2501227","mag":"1996425101"},"language":"en","primary_location":{"id":"doi:10.1145/2501221.2501227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2501221.2501227","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications","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":null,"display_name":"Chen Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chen Jin","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101992907","display_name":"Qiang Fu","orcid":"https://orcid.org/0009-0004-7159-6515"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Fu","raw_affiliation_strings":["University of Minnesota, Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota, Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103109594","display_name":"Huahua Wang","orcid":"https://orcid.org/0009-0007-7624-4895"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huahua Wang","raw_affiliation_strings":["University of Minnesota, Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota, Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004659592","display_name":"Ankit Agrawal","orcid":"https://orcid.org/0000-0002-5519-0302"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankit Agrawal","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113712125","display_name":"William Hendrix","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Hendrix","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047602285","display_name":"Wei\u2010keng Liao","orcid":"https://orcid.org/0009-0008-9411-2543"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei-keng Liao","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041039212","display_name":"Md. Mostofa Ali Patwary","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Md. Mostofa Ali Patwary","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014459472","display_name":"Arindam Banerjee","orcid":"https://orcid.org/0000-0002-7856-5699"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arindam Banerjee","raw_affiliation_strings":["University of Minnesota, Twin Cities"],"affiliations":[{"raw_affiliation_string":"University of Minnesota, Twin Cities","institution_ids":["https://openalex.org/I4210101327","https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113432214","display_name":"Alok Choudhary","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alok Choudhary","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":[]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111979921"],"apc_list":null,"apc_paid":null,"fwci":0.377,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65074023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"39","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computer-science","display_name":"Computer science","score":0.7517697215080261},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.7154232263565063},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5385090112686157},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.5080158710479736},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4981398582458496},{"id":"https://openalex.org/keywords/approximate-inference","display_name":"Approximate inference","score":0.49069106578826904},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45635417103767395},{"id":"https://openalex.org/keywords/message-passing","display_name":"Message passing","score":0.4527554512023926},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44266051054000854},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"Maximum a posteriori estimation","score":0.43795472383499146},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.4258864223957062},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief propagation","score":0.4158879816532135},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.40099743008613586},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36763203144073486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3631807267665863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17744240164756775},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14024505019187927}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7517697215080261},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.7154232263565063},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5385090112686157},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.5080158710479736},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4981398582458496},{"id":"https://openalex.org/C2777472644","wikidata":"https://www.wikidata.org/wiki/Q16968992","display_name":"Approximate inference","level":3,"score":0.49069106578826904},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45635417103767395},{"id":"https://openalex.org/C854659","wikidata":"https://www.wikidata.org/wiki/Q1859284","display_name":"Message passing","level":2,"score":0.4527554512023926},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44266051054000854},{"id":"https://openalex.org/C9810830","wikidata":"https://www.wikidata.org/wiki/Q635384","display_name":"Maximum a posteriori estimation","level":3,"score":0.43795472383499146},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.4258864223957062},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.4158879816532135},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.40099743008613586},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36763203144073486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3631807267665863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17744240164756775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14024505019187927},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2501221.2501227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2501221.2501227","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2nd International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2271679307","display_name":null,"funder_award_id":"IIS-1029711, IIS-0916750, IIS-0812183, IIS-0953274, CCF-0833131, CNS-0830927, IIS-0905205, CCF-0938000, CCF-1029166, OCI-1144061","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G2493686073","display_name":null,"funder_award_id":"IIS-1029711, IIS-0916750, IIS-0812183, IIS-0953274, CCF-0833131, CNS-0830927, IIS-0905205, CCF-0938000, CCF-1029166, OCI-1144061","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G432147687","display_name":null,"funder_award_id":"NNX-12AQ39A","funder_id":"https://openalex.org/F4320306101","funder_display_name":"National Aeronautics and Space Administration"},{"id":"https://openalex.org/G5249168579","display_name":null,"funder_award_id":"FA9550-12-1-0458","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7090262182","display_name":null,"funder_award_id":"IIS-1029711, IIS-0916750, IIS-0812183, IIS-0953274, CCF-0833131, CNS-0830927, IIS-0905205, CCF-0938000, CCF-1029166, OCI-1144061","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G759381100","display_name":null,"funder_award_id":"IIS-1029711, IIS-0916750, IIS-0812183, IIS-0953274, CCF-0833131, CNS-0830927, IIS-0905205, CCF-0938000, CCF-1029166, OCI-1144061","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"},{"id":"https://openalex.org/G8154012772","display_name":null,"funder_award_id":"DE-FG02-08ER25848, DE-SC0001283, DE-SC0005309, DESC0005340, DESC0007456","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320337377","display_name":"Office of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"},{"id":"https://openalex.org/F4320337389","display_name":"Division of Information and Intelligent Systems","ror":"https://ror.org/053a2cp42"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W16591383","https://openalex.org/W646223716","https://openalex.org/W1569098853","https://openalex.org/W1606878652","https://openalex.org/W1996540180","https://openalex.org/W2022191808","https://openalex.org/W2065030431","https://openalex.org/W2100726809","https://openalex.org/W2107628405","https://openalex.org/W2108619558","https://openalex.org/W2120340025","https://openalex.org/W2137813581","https://openalex.org/W2164278908","https://openalex.org/W2164918853","https://openalex.org/W2170616854","https://openalex.org/W2189013859","https://openalex.org/W2197670072","https://openalex.org/W2229674747","https://openalex.org/W2402011568","https://openalex.org/W2525721411","https://openalex.org/W2949483514","https://openalex.org/W4292363360","https://openalex.org/W4293052541","https://openalex.org/W4388279027","https://openalex.org/W6835722348","https://openalex.org/W6903468449"],"related_works":["https://openalex.org/W2129270363","https://openalex.org/W2612895134","https://openalex.org/W2163364417","https://openalex.org/W1614580364","https://openalex.org/W3104486738","https://openalex.org/W3208681360","https://openalex.org/W2077621940","https://openalex.org/W2978729728","https://openalex.org/W4286892381","https://openalex.org/W2129340397"],"abstract_inverted_index":{"Several":[0],"important":[1],"combinatorial":[2],"optimization":[3],"problems":[4],"can":[5],"be":[6],"formulated":[7],"as":[8],"maximum":[9],"a":[10],"posteriori":[11],"(MAP)":[12],"inference":[13,25],"in":[14],"discrete":[15],"graphical":[16],"models.":[17],"We":[18],"adopt":[19],"the":[20,39,44],"recently":[21],"proposed":[22],"parallel":[23,57],"MAP":[24],"algorithm":[26],"Bethe-ADMM":[27],"and":[28],"implement":[29],"it":[30],"using":[31],"message":[32],"passing":[33],"interface":[34],"(MPI)":[35],"to":[36],"fully":[37],"utilize":[38],"computing":[40],"power":[41],"provided":[42],"by":[43],"modern":[45],"supercomputers":[46],"with":[47,63],"thousands":[48,64],"of":[49,65],"cores.":[50,66],"The":[51],"empirical":[52],"results":[53],"show":[54],"that":[55],"our":[56],"implementation":[58],"scales":[59],"almost":[60],"linearly":[61],"even":[62]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}