Fano's inequality

GPTKB entity
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Statements (22)
Predicate Object
gptkbp:instanceOf information theory inequality
gptkbp:appliesTo classification problems
discrete random variables
gptkbp:describes lower bound on probability of error
gptkbp:field gptkb:information_theory
gptkbp:form H(X|Y) \\leq h(P_e) + P_e \\log(|X|-1)
https://www.w3.org/2000/01/rdf-schema#label Fano's inequality
gptkbp:location H(X|Y) is conditional entropy
P_e is probability of error
h(p) is binary entropy function
|X| is the number of possible values of X
gptkbp:namedAfter gptkb:Robert_Fano
gptkbp:publishedIn 1952
gptkbp:relatedTo gptkb:organization
conditional entropy
probability of error
gptkbp:usedIn gptkb:machine_learning
coding theory
hypothesis testing
statistical estimation
gptkbp:bfsParent gptkb:Robert_Fano
gptkbp:bfsLayer 4