We explore in arbitrary Banach spaces the Fréchet type ε-subdifferentials and the limiting subdifferentials for the perturbed distance function dS(·) determined by a closed subset S and a lower semicontinuous function J defined on S. In particular, upper and lower estimates for the Fréchet type ε-subdifferentials and for the limiting subdifferentials are provided in terms of the corresponding s...

We consider the Fréchet distance between two curves which are given as a sequence of m + n curved pieces. If these pieces are sufficiently wellbehaved, we can compute the Fréchet distance in O(mn log(mn)) time. The decision version of the problem can be solved in O(mn) time. The results are based on an analysis of the possible intersection patterns between circles and arcs of bounded curvature.

ESTIMATING THE CONDITION NUMBER OF THE FRÉCHET DERIVATIVE OF A MATRIX FUNCTION∗ NICHOLAS J. HIGHAM† AND SAMUEL D. RELTON† Abstract. The Fréchet derivative Lf of a matrix function f : C n×n → Cn×n is used in a variety of applications and several algorithms are available for computing it. We define a condition number for the Fréchet derivative and derive upper and lower bounds for it that differ ...

We propose a novel, language-neutral approach for searching online handwritten text using Fréchet distance. Online handwritten data, which is available as a time series (x,y,t), is treated as representing a parameterized curve in two-dimensions and the problem of searching online handwritten text is posed as a problem of matching two curves in a two-dimensional Euclidean space. Fréchet distance...

1. Non-Banach limits C(R), C∞(R) of Banach spaces C[a, b] 2. Banach completion C o (R) of C c (R) 3. Rapid-decay functions, Schwartz functions 4. Non-Fréchet colimit C∞ c (R) of Fréchet spaces 5. LF-spaces of moderate-growth functions 6. Strong operator topology 7. Generalized functions (distributions) on R 8. Tempered distributions and Fourier transforms on R 9. Test functions and Paley-Wiener...

The official data in relation to salaries paid in Spain from 1999 to 2014 has been analyzed. The inadequate data format does not reflect the whole salary distribution. Fréchet distributions have been fitted to the data. This simple distribution has similar accuracy in relation to the data when compared to other distributions (Log-Normal, Gamma, Dagum, GB2). Analysis of the data through the fitt...

Computing the Fréchet distance between two polygonal curves H Alt, M Godau International Journal of Computational Geometry & ..., 1995 World Scientific As a measure for the resemblance of curves in arbitrary dimensions we consider the socalled Fréchet-distance, which is compatible with parametrizations of the curves. For polygonal chains P and Q consisting of p and q edges an algorithm of runti...