{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1573950402121410176.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"NAID","@value":"110003197178"}}],"dc:title":[{"@language":"ja","@value":"統計的モデル選択問題における選択誤り確率に関する一考察"},{"@language":"en","@value":"A Study on Error Probability of Statistical Model Selection"}],"dc:language":"ja","description":[{"type":"abstract","notation":[{"@language":"ja","@value":"学習データを発生する情報源の確率的構造を推定する問題の1つとして、統計的モデル選択問題がある. 統計的モデル選択問題は真の確率構造を含む複数のモデル候補の中から1つのモデルを選択するという問題で、モデルを選択する基準としてAIC, MDL, BICなどの情報量基準がある. 本論文では問題を情報源の確率構造が優先順のついた属性に応じ分岐する2進木で表される場合について考察する. 統計学における分散分析など, 属性に対応する判別因子を必要とするか否かがモデル選択の良さを示している. したがってモデル選択問題で通常使われる損失関数である0-1損失のみでは不十分であることを示し新しい損失関数を必要とする. そこで, モデル間の距離を測る損失とこれを最小にするベイズ基準に基づいてモデルを選択するアルゴリズムを提案し、このときの選択誤り率, モデルの平均距離を他の基準に基づいて選択した場合と比べて優れていることを示す."},{"@language":"en","@value":"The statistical model selection is an important problem in the data analysis and learning theory AIC, MDL and BIC are the convensional information criteria for model selection. In this paper, we shall consider the model selection for the binary tree models which represents the relation between the attributes and class, and apply Bayes decision theory to the model selection. The convensional loss function is 0-1 loss and the Bayes risk of this loss represents the error probability of model selection. We propose the new loss function which define the distance between models. This criterion has the asymptotic property of consistency same as the maximum posterior probability criterion. We show the property of the proposed algorithm through the simulation experiment."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1583950402121410178","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000004774359"}],"foaf:name":[{"@language":"ja","@value":"中尾 峰"},{"@language":"en","@value":"NAKAO Takashi"}],"jpcoar:affiliationName":[{"@language":"ja","@value":"早稲田大学理工学部経営システム工学科"},{"@language":"en","@value":"School of Science and Engineering, Waseda 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