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...

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

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

} 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...

and electrical engineering. A key measure in information theory is entropy. Entropy quantifies the amount of uncertainty involved in the value of a random...

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

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

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

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...

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...

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

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...

( 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...

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...

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

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...

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

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...

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...

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...

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

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...

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

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

In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified...

generates random numbers from a physical process capable of producing entropy, unlike a pseudorandom number generator (PRNG) that utilizes a deterministic...

the topological entropy: for a system given by an iterated function, the topological entropy represents the exponential growth rate of the number of...

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

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,...