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sums of functions. The infimal convolution of two functions has a geometric interpretation: The (strict) epigraph of the infimal convolution of two functions...

Y whose respective distributions are μ and ν. In convex analysis, the infimal convolution of proper (not identically + ∞ {\displaystyle +\infty } ) convex...

y ) − g ( y ) {\displaystyle f(x)=\inf _{y}d(x,y)-g(y)} , making it an infimal convolution of − g {\displaystyle -g} with a cone. This implies f ( x )...

\;\forall A\in G} if and only if f* is symmetric with respect to G. The infimal convolution of two functions f and g is defined as ( f ⋆ inf g ) ( x )...

Convolution theorem Titchmarsh convolution theorem Dirichlet convolution Infimal convolution Logarithmic convolution Vandermonde convolution Convolution...

{\displaystyle \lambda } . The Moreau envelope can also be seen as the infimal convolution between f {\displaystyle f} and ( 1 / 2 ) ‖ ⋅ ‖ 2 2 {\displaystyle...

{\displaystyle x\in A} is the normal cone of that set at x {\displaystyle x} . Its infimal convolution with the Euclidean norm | | ⋅ | | 2 {\displaystyle ||\cdot...

integers ordered by divisibility. In this locally finite lattice, the infimal element denoted "0" for the lattice theory is the number 1 in the set N...

I_{A}+I_{B}} is identically equal to + ∞ . {\displaystyle +\infty .} The infimal convolution of two proper convex functions is convex but not necessarily...

possible to cover the set E. The Assouad dimension of E is defined to be the infimal α ≥ 0 {\displaystyle \alpha \geq 0} for which there exist positive constants...

function f {\displaystyle f} , let A ( f ) {\displaystyle A(f)} be the infimal A > 0 {\displaystyle A>0} for which sup Q ⊆ R n 1 | Q | ∫ Q e | f − f Q...

information complexity of a function f with respect to a distribution μ is the infimal information complexity of a protocol for f whose error (with respect to...

dimension is one less than that of its ambient space Indifference curve Infimal convolute Interval (mathematics) - a set of real numbers with the property...