{"id":"https://openalex.org/W2383139705","doi":null,"title":"A note on the primal-dual method for the semi-metric labeling problem","display_name":"A note on the primal-dual method for the semi-metric labeling problem","publication_year":2007,"publication_date":"2007-06-14","ids":{"openalex":"https://openalex.org/W2383139705","mag":"2383139705"},"language":"en","primary_location":{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:3849","doi":null,"is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/3849/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"University College London: London, UK.","raw_type":"Report"},"volume":null,"type":"report","is_traditional":false,"indexed_in":[],"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/A5021390142","display_name":"Vladimir Kolmogorov","orcid":"https://orcid.org/0000-0002-7625-8986","observed_orcids":["https://orcid.org/0000-0002-7625-8986"]},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Vladimir Kolmogorov","raw_affiliation_strings":["University College London\u2020"],"raw_orcid":"https://orcid.org/0000-0002-7625-8986","affiliations":[{"raw_affiliation_string":"University College London\u2020","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021390142"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.6435999870300293,"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"}},"topics":[{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.6435999870300293,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.047600001096725464,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.037300001829862595,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/primal-dual-algorithm","display_name":"primal-dual algorithm","score":0.9580000042915344},{"id":"https://openalex.org/keywords/graph-cuts","display_name":"graph cuts","score":0.7540000081062317},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"image segmentation","score":0.6299999952316284},{"id":"https://openalex.org/keywords/energy-minimization","display_name":"energy minimization","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6113382577896118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5321295261383057},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.43445637822151184},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.41103190183639526},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40926486253738403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40563198924064636},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3531303405761719},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3273746371269226},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08389508724212646},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:3849","doi":null,"is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/3849/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"University College London: London, UK.","raw_type":"Report"},{"id":"mag:2383139705","doi":null,"is_oa":false,"landing_page_url":"https://discovery.ucl.ac.uk/3849/1/3849.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W102370327","https://openalex.org/W1964669037","https://openalex.org/W2074078071","https://openalex.org/W2108619558","https://openalex.org/W2119867409","https://openalex.org/W2135414191","https://openalex.org/W2143516773","https://openalex.org/W2144306116","https://openalex.org/W2149203124"],"related_works":["https://openalex.org/W7095864729","https://openalex.org/W2511341399","https://openalex.org/W7099761694","https://openalex.org/W7095223115","https://openalex.org/W2167592058","https://openalex.org/W2119402945","https://openalex.org/W2120339839","https://openalex.org/W1964669037","https://openalex.org/W2186631444","https://openalex.org/W1749183249"],"abstract_inverted_index":{"Recently,":[0],"Komodakis":[1],"et":[2,22],"al.":[3,23],"[6]":[4],"developed":[5],"the":[6,10,32],"FastPD":[7,33],"\\nalgorithm":[8],"for":[9],"semi-metric":[11],"labeling":[12],"problem,":[13],"which":[14],"extends":[15],"\\nthe":[16],"expansion":[17],"move":[18],"algorithm":[19],"of":[20,31],"Boykov":[21],"[2].":[24],"We":[25],"\\npresent":[26],"a":[27],"slightly":[28],"different":[29],"derivation":[30],"method.":[34]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}