{"id":"https://openalex.org/W2293666000","doi":"https://doi.org/10.1145/1143844.1143935","title":"CN = CPCN","display_name":"CN = CPCN","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2293666000","doi":"https://doi.org/10.1145/1143844.1143935","mag":"2293666000"},"language":"en","primary_location":{"id":"doi:10.1145/1143844.1143935","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1143844.1143935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 23rd international conference on Machine learning  - ICML '06","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/A5018614433","display_name":"Liva Ralaivola","orcid":"https://orcid.org/0000-0002-4571-1119"},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Liva Ralaivola","raw_affiliation_strings":["Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France","institution_ids":["https://openalex.org/I4210115196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108423452","display_name":"Fran\u00e7ois Denis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Denis","raw_affiliation_strings":["Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France","institution_ids":["https://openalex.org/I4210115196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085024037","display_name":"Chr\u0300istophe Magnan","orcid":"https://orcid.org/0000-0002-7044-2571"},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe N. Magnan","raw_affiliation_strings":["Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale de Marseille, rue F. Joliot-Curie, Marseille, France","institution_ids":["https://openalex.org/I4210115196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8651,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8829012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"721","last_page":"728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11652","display_name":"Imbalanced Data Classification Techniques","score":0.9853000044822693,"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":0.9848999977111816,"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/learnability","display_name":"Learnability","score":0.9559463262557983},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5725199580192566},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5634816288948059},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.554885745048523},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4897801876068115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45266351103782654},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44664084911346436},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42416298389434814},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4163578748703003},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4004436731338501},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3848353922367096},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2488269805908203}],"concepts":[{"id":"https://openalex.org/C2777723229","wikidata":"https://www.wikidata.org/wiki/Q4367921","display_name":"Learnability","level":2,"score":0.9559463262557983},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5725199580192566},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5634816288948059},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.554885745048523},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4897801876068115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45266351103782654},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44664084911346436},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42416298389434814},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4163578748703003},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4004436731338501},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3848353922367096},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2488269805908203},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1143844.1143935","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1143844.1143935","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 23rd international conference on Machine learning  - ICML '06","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1520252399","https://openalex.org/W1581219065","https://openalex.org/W2019363670","https://openalex.org/W2089933214","https://openalex.org/W2107189314","https://openalex.org/W2143362693","https://openalex.org/W2148360652","https://openalex.org/W2171574551"],"related_works":["https://openalex.org/W2728224919","https://openalex.org/W2951521427","https://openalex.org/W2963114048","https://openalex.org/W2783654391","https://openalex.org/W2031004667","https://openalex.org/W2970673251","https://openalex.org/W2963905608","https://openalex.org/W3134888950","https://openalex.org/W2512446543","https://openalex.org/W2913145454"],"abstract_inverted_index":{"We":[0,68],"address":[1],"the":[2,5,16,23,31,34,53,75,78,87,96],"issue":[3],"of":[4,7,33,36,80,89],"learnability":[6,35],"concept":[8,37,47,81,90],"classes":[9,38,48,82,91],"under":[10,39,52],"three":[11],"classification":[12,56],"noise":[13,57],"models":[14],"in":[15,95,104],"probably":[17],"approximately":[18],"correct":[19],"framework.":[20],"After":[21],"introducing":[22],"Class-Conditional":[24],"Classification":[25,99],"Noise":[26,100],"(CCCN)":[27],"model,":[28],"we":[29,44,107],"investigate":[30],"problem":[32],"this":[40,71],"particular":[41],"setting":[42,59],"and":[43,86],"show":[45,108],"that":[46,49,83,92,109],"are":[50,60,84,93],"learnable":[51,94],"well-known":[54],"uniform":[55],"(CN)":[58],"also":[61],"CCCN-learnable,":[62],"which":[63],"gives":[64],"CN":[65,110],"=":[66,111],"CCCN.":[67],"then":[69],"use":[70],"result":[72],"to":[73],"prove":[74],"equality":[76],"between":[77],"set":[79,88],"CN-learnable":[85],"Constant":[97],"Partition":[98],"(CPCN)":[101],"setting,":[102],"or,":[103],"other":[105],"words,":[106],"CPCN.":[112]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
