entropic vector or entropic function is a concept arising in information theory. It represents the possible values of Shannon's information entropy that...

In special relativity, a four-vector (or 4-vector, sometimes Lorentz vector) is an object with four components, which transform in a specific way under...

Entropic gravity, also known as emergent gravity, is a theory in modern physics that describes gravity as an entropic force—a force with macro-scale homogeneity...

concept of relative entropy. Because of its connection with the VaR and the relative entropy, this risk measure is called "entropic value at risk". The...

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

h_{I}=H(X_{i}\colon i\in I)} is their joint entropy, for each subset I {\displaystyle I} . The set of entropic vectors is denoted Γ n ∗ {\displaystyle \Gamma...

220-222 Hand, pp. 197-198 Robert D. Handscombe, Eann A. Patterson, The Entropy Vector: Connecting Science and Business, p134, World Scientific, 2004, ISBN 981-238-571-1...

Further inequalities for the entropy function are known to hold, see entropic vector. Matroid rank functions Let Ω = { e 1 , e 2 , … , e n } {\displaystyle...

In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space R n {\displaystyle...

normal distribution to higher dimensions. One definition is that a random vector is said to be k-variate normally distributed if every linear combination...

lossy compression or lossless compression. For graphic design applications, vector formats are often used. Some image file formats support transparency. Raster...

the sample entropy to be S a m p E n = − ln ⁡ A B {\displaystyle SampEn=-\ln {A \over B}} Where A {\displaystyle A} = number of template vector pairs having...

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

vector to another random vector with same dimension Y = m ( X ) {\displaystyle \mathbf {Y} =m\left(\mathbf {X} \right)} , the corresponding entropies...

entropy is not the only reasonable entanglement measure. Some of the other measures are also entropic in character. For example, the relative entropy...

Applications often exploit the following relation between the Rényi entropy and the α-norm of the vector of probabilities: H α ( X ) = α 1 − α log ⁡ ( ‖ P ‖ α ) ...

Y}=I(Y_{t};X_{t-1:t-L}\mid Y_{t-1:t-L}).} Transfer entropy reduces to Granger causality for vector auto-regressive processes. Hence, it is advantageous...

described mathematically by a function assigning a vector to each point of space, called a vector field (more precisely, a pseudovector field). In electromagnetics...

maximum entropy principle is in discrete and continuous density estimation. Similar to support vector machine estimators, the maximum entropy principle...

type; the base flow of a random dynamical system; the flow of a Hamiltonian vector field on the tangent bundle of a closed connected smooth manifold is measure-preserving...

Vector quantization (VQ) is a classical quantization technique from signal processing that allows the modeling of probability density functions by the...

In cryptography, an initialization vector (IV) or starting variable is an input to a cryptographic primitive being used to provide the initial state. The...

which means that this force necessarily stems from a purely entropic effect. This entropic force is very similar to the pressure experienced by the walls...

statistical ensemble, phase space, chemical potential, Gibbs entropy, Gibbs paradox Mathematics: Vector Analysis, convex analysis, Gibbs phenomenon Electromagnetism:...

-dimensional vector that contains the run of data starting with u ( i ) {\displaystyle u(i)} . Define the distance between two vectors x ( i ) {\displaystyle...

in natural language processing (NLP) for obtaining vector representations of words. These vectors capture information about the meaning of the word based...

2007.913132 Costa, J.A.; Hero, A.O. (2004), Geodesic entropic graphs for dimension and entropy estimation in manifold learning. In Signal Processing...

their transformation properties (i.e. whether the quantity is a scalar, vector, matrix or tensor), and whether the quantity is conserved. List of photometric...

Because the magnitude and direction of a force are both important, force is a vector quantity. The SI unit of force is the newton (N), and force is often represented...

its originator Erhard Schmidt) refers to a particular way of expressing a vector in the tensor product of two inner product spaces. It has numerous applications...