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 distance measure for probability distributions. It is an example of a statistical distance metric...

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...

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,...

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...

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...

the total variation distance between probability distributions. Given a pair of probability distributions P , Q {\displaystyle P,Q} , their total variation...

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...

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

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

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

Teetotalism is the practice or promotion of total personal abstinence from the consumption of alcohol, specifically in alcoholic drinks. A person who...

{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...

case, it is zero, since the mean is the same for each group. So the total variation is Var ⁡ ( Y ) = E ⁡ [ Var ⁡ ( Y | X ) ] + Var ⁡ ( E ⁡ [ Y | X ] )...

{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...

of optimization procedure. Algorithms include wavelet methods, and total variation denoising which uses methods from convex optimization. Where the steps...

\|\|\nu \|} where the norm is the total variation of a measure. Because the space of measures of bounded variation is a Banach space, convolution of measures...

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

|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...

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

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...

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'...

Genetic variation is the difference in DNA among individuals or the differences between populations among the same species. The multiple sources of genetic...

the variance is at its maximum. Ehm has determined bounds for the total variation distance of P B {\displaystyle PB} and B {\displaystyle B} , in effect...

together with an appropriate high resolution scheme, make the solutions total variation diminishing (TVD). Note that flux limiters are also referred to as...

high-frequency artifact, which can be suppressed by adding the total variation to the total loss. Compared to VGGNet, AlexNet does not work well for neural...