{"id":"https://openalex.org/W1498611611","doi":"https://doi.org/10.1007/978-3-642-15558-1_53","title":"MRF Inference by k-Fan Decomposition and Tight Lagrangian Relaxation","display_name":"MRF Inference by k-Fan Decomposition and Tight Lagrangian Relaxation","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1498611611","doi":"https://doi.org/10.1007/978-3-642-15558-1_53","mag":"1498611611"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-15558-1_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15558-1_53","pdf_url":null,"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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002861126","display_name":"J\u00f6rg Hendrik Kappes","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Hendrik Kappes","raw_affiliation_strings":["Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101837550","display_name":"Stefan Schmidt","orcid":"https://orcid.org/0000-0003-2450-9795"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Schmidt","raw_affiliation_strings":["Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088815590","display_name":"Christoph Schn\u00f6rr","orcid":"https://orcid.org/0000-0002-8999-2338"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Schn\u00f6rr","raw_affiliation_strings":["Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Image and Pattern Analysis Group & HCI, University of Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.5652,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90125987,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"735","last_page":"747"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9932000041007996,"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":0.9932000041007996,"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/T10142","display_name":"Formal Methods in Verification","score":0.9800000190734863,"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"}},{"id":"https://openalex.org/T10222","display_name":"Genomics and Chromatin Dynamics","score":0.9599000215530396,"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/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.7935581207275391},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.712082028388977},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.7118027210235596},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.704910933971405},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6703621745109558},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6240065097808838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6086881160736084},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.5875130891799927},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5820296406745911},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5322323441505432},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5210351943969727},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5147371292114258},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49953413009643555},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44142985343933105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31609460711479187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31088173389434814},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2335866391658783},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17052015662193298}],"concepts":[{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.7935581207275391},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.712082028388977},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.7118027210235596},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.704910933971405},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6703621745109558},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6240065097808838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6086881160736084},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.5875130891799927},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5820296406745911},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5322323441505432},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5210351943969727},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5147371292114258},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49953413009643555},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44142985343933105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31609460711479187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31088173389434814},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2335866391658783},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17052015662193298},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-15558-1_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-15558-1_53","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W132374903","https://openalex.org/W295110577","https://openalex.org/W1601035521","https://openalex.org/W1762430620","https://openalex.org/W1965865731","https://openalex.org/W2059050877","https://openalex.org/W2091604953","https://openalex.org/W2107884096","https://openalex.org/W2108825216","https://openalex.org/W2114741181","https://openalex.org/W2116877738","https://openalex.org/W2120340025","https://openalex.org/W2128221187","https://openalex.org/W2130517245","https://openalex.org/W2137117160","https://openalex.org/W2143516773","https://openalex.org/W2161246326","https://openalex.org/W2164918853","https://openalex.org/W2169066680","https://openalex.org/W2171675680","https://openalex.org/W2171675999","https://openalex.org/W2296319761","https://openalex.org/W2793848520","https://openalex.org/W2798766386","https://openalex.org/W4250589301","https://openalex.org/W4254313632"],"related_works":["https://openalex.org/W3149469165","https://openalex.org/W4379933114","https://openalex.org/W4313484281","https://openalex.org/W4252122881","https://openalex.org/W181997498","https://openalex.org/W1984467068","https://openalex.org/W2027845496","https://openalex.org/W3126007678","https://openalex.org/W134055995","https://openalex.org/W2009796757"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}