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What (who) is total variation - definition
Total variation
MEASURE OF THE LOCAL OSCILLATION BEHAVIOR OF A FUNCTION
Measure variation; Total variation measure; Total variation of a function; Total variation norm; Total variation (measure theory)
In mathematics, the total variation identifies several slightly different concepts, related to the (local or global) structure of the codomain of a function or a measure. For a real-valued continuous function f, defined on an interval [a, b] ⊂ R, its total variation on the interval of definition is a measure of the one-dimensional arclength of the curve with parametric equation x ↦ f(x), for x ∈ [a, b].
Total variation diminishing
In numerical methods, total variation diminishing (TVD) is a property of certain discretization schemes used to solve hyperbolic partial differential equations. The most notable application of this method is in computational fluid dynamics.
Total variation distance of probability measures
In probability theory, the total variation distance is a distance measure for probability distributions. It is an example of a statistical distance metric, and is sometimes called the statistical distance, statistical difference or variational distance.
Examples of use of total variation
1. Only about 5 per cent of total variation distinguishes the major races.