mathematical theory of probability, the entropy rate or source information rate is a function assigning an entropy to a stochastic process. For a strongly...

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

} where H b {\displaystyle H_{b}} denotes the binary entropy function. Plot of the rate-distortion function for p = 0.5 {\displaystyle p=0.5} : Suppose...

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

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

Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse...

information theory. Information rate is the average entropy per symbol. For memoryless sources, this is merely the entropy of each symbol, while, in the...

information theory, joint entropy is a measure of the uncertainty associated with a set of variables. The joint Shannon entropy (in bits) of two discrete...

exactly 2 for no redundancy), the Y chromosome's entropy rate is only 0.84. From the definition of entropy rate, the Y chromosome has a much lower information...

for lossless data compression is the source information rate, also known as the entropy rate. The bitrates in this section are approximately the minimum...

In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of...

Entropy production (or generation) is the amount of entropy which is produced during heat process to evaluate the efficiency of the process. Entropy is...

Maximum entropy spectral estimation is a method of spectral density estimation. The goal is to improve the spectral quality based on the principle of...

h(X)} with probability 1. Here h ( X ) {\textstyle h(X)} is the entropy rate of the source. Similar theorems apply to other versions of LZ algorithm...

Differential entropy (also referred to as continuous entropy) is a concept in information theory that began as an attempt by Claude Shannon to extend...

it is synonymous with net bit rate or useful bit rate exclusive of error-correction codes. Entropy rate Information rate Punctured code Huffman, W. Cary...

distribution of outgoing edges, locally maximizing entropy rate, MERW maximizes it globally (average entropy production) by sampling a uniform probability...

( X ) {\displaystyle H(X)} or simply H {\displaystyle H} denotes the entropy rate of X {\displaystyle X} , which must exist for all discrete-time stationary...

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

variable. The concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies...

where H b {\displaystyle H_{b}} is the binary entropy function (not to be confused with the entropy rate). The Kolmogorov complexity function is equivalent...

contributions to the entropy are always present, because crystals always grow at a finite rate and at temperature. However, the residual entropy is often quite...

signal. Entropy Entropy production Entropy rate History of entropy Entropy of mixing Entropy (information theory) Entropy (computing) Entropy (energy dispersal)...

of raw data, the rate of a source of information is the average entropy per symbol. For memoryless sources, this is merely the entropy of each symbol,...

Look up entropy in Wiktionary, the free dictionary. Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness...

compress such data such that the code rate (average number of bits per symbol) is less than the Shannon entropy of the source, without it being virtually...

crucial role in the construction of the measure-theoretic entropy of a dynamical system. The entropy of a partition Q {\displaystyle {\mathcal {Q}}} is defined...

wavelet entropies are obtained using the definition of entropy given by Shannon. Given the complexity of the mechanisms regulating heart rate, it is reasonable...

High-entropy alloys (HEAs) are alloys that are formed by mixing equal or relatively large proportions of (usually) five or more elements. Prior to the...

[citation needed] The multiagent random walk. Random walk chosen to maximize entropy rate, has much stronger localization properties. Random walks where the direction...