Počet záznamů: 1
On the Relation between Generalized Entropy and the Bayes Decision Error
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SYSNO ASEP 0351622 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Ostatní články Název On the Relation between Generalized Entropy and the Bayes Decision Error Tvůrce(i) Horáček, Martin (UIVT-O) Zdroj.dok. European Journal for Biomedical Informatics. - : Pulsus Group - ISSN 1801-5603
Roč. 6, č. 1 (2010), s. 38-42Poč.str. 5 s. Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova generalized entropy ; f-entropy ; Bayes error ; average inaccuracy ; power entropy ; quadratic entropy ; Shannon’s entropy ; Emlen’s index ; Ferreri’s index ; Good’s index Vědní obor RIV BB - Aplikovaná statistika, operační výzkum CEP 1M06014 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z10300504 - UIVT-O (2005-2011) DOI 10.24105/ejbi.2010.06.1.8 Anotace We deal with the relation between generalized entropies (f-entropies) of a discrete random variable and the minimal posterior probability of error (Bayes error) when the value of the random variable is estimated. The tightness of their relation is studied by the means of recently introduced measure called the average inaccuracy. This measure is defined as a standardized average difference between the upper and the lower bound for the Bayes error under given entropy. It can be applied to any strictly concave f-entropy and used to evaluate its relation to the Bayes error. However, due to a complex form of the formula of the average inaccuracy, it is difficult to compare the average inaccuracies of most f-entropies analytically. We propose a smooth approximation of the lower bound for the Bayes error under given f-entropy that simplifies the formula. We show that under this approximation, the quadratic entropy has the tightest relation to the Bayes error among f-entropies. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
Počet záznamů: 1