{"id":"https://openalex.org/W2108204040","doi":"https://doi.org/10.1109/icmlc.2011.6016825","title":"The bounds on the risk for sets of unbounded nonnegative functions on possibility space","display_name":"The bounds on the risk for sets of unbounded nonnegative functions on possibility space","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2108204040","doi":"https://doi.org/10.1109/icmlc.2011.6016825","mag":"2108204040"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2011.6016825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2011.6016825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Machine Learning and Cybernetics","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/A5100629567","display_name":"Peng Wang","orcid":"https://orcid.org/0000-0003-0865-5856"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Wang","raw_affiliation_strings":["College of Physics Science and Technology, Hebei University, Baoding, China","College of Physics Science and Technology, Hebei  University,Baoding 071002,China)"],"affiliations":[{"raw_affiliation_string":"College of Physics Science and Technology, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Physics Science and Technology, Hebei  University,Baoding 071002,China)","institution_ids":["https://openalex.org/I43337087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090751944","display_name":"Chunqin Zhang","orcid":"https://orcid.org/0000-0001-5257-1268"},"institutions":[{"id":"https://openalex.org/I43337087","display_name":"Hebei University","ror":"https://ror.org/01p884a79","country_code":"CN","type":"education","lineage":["https://openalex.org/I43337087"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun-Qin Zhang","raw_affiliation_strings":["College of Mathematics and Computer Science, Hebei University, Baoding, China","College of Mathematics and Computer Science  Hebei University  Baoding 071002  China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Hebei University, Baoding, China","institution_ids":["https://openalex.org/I43337087"]},{"raw_affiliation_string":"College of Mathematics and Computer Science  Hebei University  Baoding 071002  China","institution_ids":["https://openalex.org/I43337087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100629567"],"corresponding_institution_ids":["https://openalex.org/I43337087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14613957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"881","last_page":"886"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9912999868392944,"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/generalization","display_name":"Generalization","score":0.7693984508514404},{"id":"https://openalex.org/keywords/empirical-risk-minimization","display_name":"Empirical risk minimization","score":0.7044546604156494},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6254369616508484},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.6145272850990295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5291973352432251},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5126227736473083},{"id":"https://openalex.org/keywords/meaning","display_name":"Meaning (existential)","score":0.5042821168899536},{"id":"https://openalex.org/keywords/statistical-learning-theory","display_name":"Statistical learning theory","score":0.486451119184494},{"id":"https://openalex.org/keywords/structural-risk-minimization","display_name":"Structural risk minimization","score":0.4834233522415161},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4331556558609009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4278413951396942},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41525590419769287},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40384232997894287},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.38650766015052795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3571866750717163},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3053240180015564},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.12986573576927185},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1218976378440857}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7693984508514404},{"id":"https://openalex.org/C107321475","wikidata":"https://www.wikidata.org/wiki/Q5374254","display_name":"Empirical risk minimization","level":2,"score":0.7044546604156494},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6254369616508484},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6145272850990295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5291973352432251},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5126227736473083},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.5042821168899536},{"id":"https://openalex.org/C2779915298","wikidata":"https://www.wikidata.org/wiki/Q7604400","display_name":"Statistical learning theory","level":3,"score":0.486451119184494},{"id":"https://openalex.org/C154507838","wikidata":"https://www.wikidata.org/wiki/Q7625053","display_name":"Structural risk minimization","level":3,"score":0.4834233522415161},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4331556558609009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4278413951396942},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41525590419769287},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40384232997894287},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.38650766015052795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3571866750717163},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3053240180015564},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.12986573576927185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1218976378440857},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2011.6016825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2011.6016825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2039112049","https://openalex.org/W2063637550","https://openalex.org/W2117517910","https://openalex.org/W2128530362","https://openalex.org/W2135017202","https://openalex.org/W2156909104","https://openalex.org/W3143971390","https://openalex.org/W6677792172"],"related_works":["https://openalex.org/W2441672559","https://openalex.org/W2350427391","https://openalex.org/W2351269980","https://openalex.org/W2155195660","https://openalex.org/W2067749867","https://openalex.org/W2348333359","https://openalex.org/W2955314574","https://openalex.org/W3152289670","https://openalex.org/W2166579659","https://openalex.org/W2366261136"],"abstract_inverted_index":{"Statistical":[0],"learning":[1,33],"theory":[2],"on":[3,14,47,56],"probability":[4],"space":[5,58],"is":[6,67],"an":[7],"important":[8],"part":[9],"of":[10,20,31,52,64],"Machine":[11],"Learning.":[12],"Based":[13],"the":[15,18,32,36,45,48,62],"key":[16],"theorem,":[17],"bounds":[19,27,46],"uniform":[21,65],"convergence":[22,66],"have":[23],"significant":[24],"meaning.":[25],"These":[26],"determine":[28],"generalization":[29],"ability":[30],"machines":[34],"utilizing":[35],"empirical":[37],"risk":[38,49],"minimization":[39],"induction":[40],"principle.":[41],"In":[42],"this":[43],"paper,":[44],"for":[50],"sets":[51],"unbounded":[53],"nonnegative":[54],"functions":[55],"possibility":[57],"are":[59],"discussed,":[60],"and":[61],"rate":[63],"estimated.":[68]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
