In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable Y {\displaystyle...

The conditional quantum entropy is an entropy measure used in quantum information theory. It is a generalization of the conditional entropy of classical...

In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential...

Despite similar notation, joint entropy should not be confused with cross-entropy. The conditional entropy or conditional uncertainty of X given random...

Shannon entropy and its quantum generalization, the von Neumann entropy, one can define a conditional version of min-entropy. The conditional quantum...

to a stochastic process. For a strongly stationary process, the conditional entropy for latest random variable eventually tend towards this rate value...

statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted D KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel...

{H} (X_{1})+\ldots +\mathrm {H} (X_{n})} Joint entropy is used in the definition of conditional entropy: 22  H ( X | Y ) = H ( X , Y ) − H ( Y ) {\displaystyle...

{\displaystyle (x,y)} . Expressed in terms of the entropy H ( ⋅ ) {\displaystyle H(\cdot )} and the conditional entropy H ( ⋅ | ⋅ ) {\displaystyle H(\cdot |\cdot...

In information theory, the cross-entropy between two probability distributions p {\displaystyle p} and q {\displaystyle q} , over the same underlying...

y,z)dxdydz} . Alternatively, we may write in terms of joint and conditional entropies as I ( X ; Y | Z ) = H ( X , Z ) + H ( Y , Z ) − H ( X , Y , Z )...

In physics, the von Neumann entropy, named after John von Neumann, is a measure of the statistical uncertainty within a description of a quantum system...

for example, differential entropy may be negative. The differential analogies of entropy, joint entropy, conditional entropy, and mutual information are...

joint, conditional differential entropy, and relative entropy are defined in a similar fashion. Unlike the discrete analog, the differential entropy has...

( Y ∣ X ) {\displaystyle H(Y\mid X)} are the entropy of the output signal Y and the conditional entropy of the output signal given the input signal, respectively:...

Neumann entropy, S(ρ) the joint quantum entropy and S(ρA|ρB) a quantum generalization of conditional entropy (not to be confused with conditional quantum...

X)\end{aligned}}} where H ( Y ∣ X ) {\displaystyle H(Y\mid X)} is the conditional entropy and D KL {\displaystyle D_{\text{KL}}} is the Kullback–Leibler divergence...

of random variables and a measure over sets. Namely the joint entropy, conditional entropy, and mutual information can be considered as the measure of a...

the joint entropy. This is equivalent to the fact that the conditional quantum entropy may be negative, while the classical conditional entropy may never...

of Secrecy Systems conditional entropy conditional quantum entropy confusion and diffusion cross-entropy data compression entropic uncertainty (Hirchman...

In statistics, a maximum-entropy Markov model (MEMM), or conditional Markov model (CMM), is a graphical model for sequence labeling that combines features...

variable e in terms of its entropy. One can then subtract the content of e that is irrelevant to h (given by its conditional entropy conditioned on h) from...

H(X\mid Y)=-\sum _{i,j}P(x_{i},y_{j})\log P(x_{i}\mid y_{j})} is the conditional entropy, P ( e ) = P ( X ≠ X ~ ) {\displaystyle P(e)=P(X\neq {\tilde {X}})}...

Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The...

identically-distributed random variable, and the operational meaning of the Shannon entropy. Named after Claude Shannon, the source coding theorem shows that, in the...

script, and noting that the Indus script appears to have a similar conditional entropy to Old Tamil. These scholars have proposed readings of many signs;...

interpreted within the context of information theory. Bayes factor Conditional entropy Conditional probability Empirical likelihood Likelihood principle Likelihood-ratio...

relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. Information diagrams are a useful...

quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog of relative entropy. For simplicity...

Information theory Entropy Differential entropy Conditional entropy Joint entropy Mutual information Directed information Conditional mutual information...