{"id":"https://openalex.org/W2170066311","doi":"https://doi.org/10.1109/case.2011.6042511","title":"Marginal analysis on binary pairwise Gibbs random fields","display_name":"Marginal analysis on binary pairwise Gibbs random fields","publication_year":2011,"publication_date":"2011-08-01","ids":{"openalex":"https://openalex.org/W2170066311","doi":"https://doi.org/10.1109/case.2011.6042511","mag":"2170066311"},"language":"en","primary_location":{"id":"doi:10.1109/case.2011.6042511","is_oa":false,"landing_page_url":"https://doi.org/10.1109/case.2011.6042511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Automation Science and Engineering","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101798089","display_name":"Tung Le","orcid":"https://orcid.org/0000-0002-9900-7047"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210091207","display_name":"Singapore Institute of Manufacturing Technology","ror":"https://ror.org/00f44np30","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I4210091207","https://openalex.org/I91275662"]}],"countries":["SG","US"],"is_corresponding":false,"raw_author_name":"Tung Le","raw_affiliation_strings":["Coordinated Science Laboratory, and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","Manufacturing Execution and Control Group, SIMTech, AStar, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Manufacturing Execution and Control Group, SIMTech, AStar, Singapore","institution_ids":["https://openalex.org/I4210091207"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030551100","display_name":"Christoforos N. Hadjicostis","orcid":"https://orcid.org/0000-0002-1706-708X"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christoforos N. Hadjicostis","raw_affiliation_strings":["Coordinated Science Laboratory, and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, and Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":null,"first_page":"316","last_page":"321"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9868999719619751,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9868999719619751,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9861999750137329,"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/T10521","display_name":"RNA and protein synthesis mechanisms","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.8916558027267456},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6181663274765015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5841220021247864},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5458264350891113},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.5179761648178101},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5093098878860474},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4532133936882019},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44929495453834534},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33541548252105713},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.186972975730896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08841937780380249}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.8916558027267456},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6181663274765015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5841220021247864},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5458264350891113},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.5179761648178101},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5093098878860474},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4532133936882019},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44929495453834534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33541548252105713},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.186972975730896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08841937780380249},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/case.2011.6042511","is_oa":false,"landing_page_url":"https://doi.org/10.1109/case.2011.6042511","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Automation Science and Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W982707038","https://openalex.org/W1507653385","https://openalex.org/W1534245967","https://openalex.org/W1581232847","https://openalex.org/W2004724832","https://openalex.org/W2020999234","https://openalex.org/W2101370939","https://openalex.org/W2137117160","https://openalex.org/W2147238273","https://openalex.org/W2807232057","https://openalex.org/W2913847058","https://openalex.org/W2963123876","https://openalex.org/W3038032317","https://openalex.org/W4205240937","https://openalex.org/W6634596974","https://openalex.org/W6681488117","https://openalex.org/W6752562311"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W4372354731","https://openalex.org/W2942366970","https://openalex.org/W2807634898","https://openalex.org/W2149931498","https://openalex.org/W4378551395","https://openalex.org/W2334602205","https://openalex.org/W173377860"],"abstract_inverted_index":{"In":[0,42],"this":[1,43,92],"paper,":[2,44],"we":[3,45],"study":[4],"marginal":[5,32,81],"problems":[6],"for":[7,33],"a":[8,18,22],"class":[9],"of":[10,24,51],"binary":[11,25],"pairwise":[12,27],"Gibbs":[13],"random":[14,35],"fields":[15],"(BPW-GRFs).":[16],"Given":[17],"BPW-GRF":[19,75],"associated":[20],"with":[21,98],"family":[23],"positive":[26],"potentials,":[28],"finding":[29],"the":[30,52,73],"exact":[31],"each":[34],"variable":[36],"is":[37,94],"typically":[38],"an":[39,64],"NP-hard":[40],"problem.":[41],"develop":[46],"upper":[47],"and":[48],"lower":[49],"bounds":[50,58,82],"true":[53],"marginals":[54],"in":[55],"BPW-GRFs.":[56],"Our":[57],"can":[59],"be":[60],"easily":[61],"computed":[62],"via":[63,89],"iteration":[65],"on":[66,96],"appropriate":[67],"trees":[68],"that":[69,79,91],"are":[70],"constructed":[71],"from":[72],"corresponding":[74],"graphs.":[76],"We":[77,86],"prove":[78],"these":[80],"outperform":[83],"existing":[84],"bounds.":[85],"also":[87],"show":[88],"simulations":[90],"improvement":[93],"significant":[95],"graphs":[97],"weak":[99],"potentials.":[100]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}