In mathematics, the total variation identifies several slightly different concepts, related to the (local or global) structure of the codomain of a function...

particularly image processing, total variation denoising, also known as total variation regularization or total variation filtering, is a noise removal...

In probability theory, the total variation distance is a statistical distance between probability distributions, and is sometimes called the statistical...

In numerical methods, total variation diminishing (TVD) is a property of certain discretization schemes used to solve hyperbolic partial differential...

total variation refers to the integral of the absolute gradient of the signal. In signal and image reconstruction, it is applied as total variation regularization...

The trace distance serves as a direct quantum generalization of the total variation distance between probability distributions. Given two probability distributions...

analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of...

observed outcomes are replicated by the model, based on the proportion of total variation of outcomes explained by the model. There are several definitions of...

Look up variation in Wiktionary, the free dictionary. Variation or Variations may refer to: Variation (astronomy), any perturbation of the mean motion...

variance can be used. The complementary part of the total variation is called unexplained or residual variation; likewise, when discussing variance as such,...

The Hellinger distance H ( P , Q ) {\displaystyle H(P,Q)} and the total variation distance (or statistical distance) δ ( P , Q ) {\displaystyle \delta...

Polish space, the total variation metric coincides with the Radon metric. If μ and ν are both probability measures, then the total variation distance is also...

x} . Theoretically, convergence can be quantified by measuring the total variation distance: d TV ( P t ( x , ⋅ ) , π ) = sup A | P t ( x , A ) − π (...

{N}}(0,1)} in the total variation distance. These two εn-close distributions have densities (in fact, log-concave densities), thus, the total variance distance...

The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...

{p}{\alpha }}} -variation. The case when p is one is called total variation, and functions with a finite 1-variation are called bounded variation functions...

produce a distribution whose total variation distance from uniform is still close to one, while seven riffles give total variation distance 0.334. This result...

inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance (or statistical distance) in terms of the Kullback–Leibler...

common divergences, such as KL-divergence, Hellinger distance, and total variation distance, are special cases of f {\displaystyle f} -divergence. These...

|μ| = μ+ + μ− is called the variation of μ, and its maximum possible value, ||μ|| = |μ|(X), is called the total variation of μ. This consequence of the...

ever thought teetotum and teetotaler were etymologically connected." A variation on the above account is found on the pages of The Charleston Observer:...

reducing noise and enhancing blurred images. This technique minimizes the total variation of an image while preserving important image details. It is effective...

asserts compactness of the space BVloc of functions locally of bounded total variation that are uniformly bounded at a point. The theorem has applications...

P_{n}\xrightarrow {TV} P,} where the latter stands for the usual convergence in total variation. Relative entropy is directly related to the Fisher information metric...

subjects or entities. Such indices, however do not account for the total variation (diversity) that can be held between subjects or entities which occurs...

was a resurgence of augmented Lagrangian methods in fields such as total variation denoising and compressed sensing. In particular, a variant of the standard...

mathematics, quadratic variation is used in the analysis of stochastic processes such as Brownian motion and other martingales. Quadratic variation is just one kind...

that under some conditions, a posterior distribution converges in total variation distance to a multivariate normal distribution centered at the maximum...

Genetics is the study of genes, genetic variation, and heredity in organisms. It is an important branch in biology because heredity is vital to organisms'...

approximately π? One variant, total variation distance mixing time, is defined as the smallest t such that the total variation distance of probability measures...