Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
divergence measure |
| gptkbp:appliesTo |
continuous probability distributions
discrete probability distributions |
| gptkbp:field |
gptkb:information_theory
gptkb:probability_theory statistics |
| gptkbp:form |
D_α(P||Q) = (1/(α-1)) log(Σ P(x)^α Q(x)^{1-α})
|
| gptkbp:generalizes |
gptkb:Kullback–Leibler_divergence
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rényi divergence
|
| gptkbp:introducedIn |
1961
|
| gptkbp:isNonNegative |
true
|
| gptkbp:isZeroIff |
P = Q almost everywhere
|
| gptkbp:namedAfter |
gptkb:Alfréd_Rényi
|
| gptkbp:parameter |
order α (alpha)
|
| gptkbp:reduces |
Kullback–Leibler divergence when α→1
max-divergence when α→0 min-divergence when α→∞ |
| gptkbp:relatedTo |
gptkb:Rényi_entropy
gptkb:Tsallis_entropy |
| gptkbp:usedFor |
measuring difference between probability distributions
|
| gptkbp:bfsParent |
gptkb:Alfréd_Rényi
|
| gptkbp:bfsLayer |
6
|