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Distance Functions, Critical Points, and Topology for Some Random Complexes
Distance function critical points Morse index Cech complex Poisson process central limit theorem Betti numbers
2011/9/20
Abstract: For a finite set of points $P$ in $R^d$, the function $d_P:R^d \to R_+$ measures Euclidean distance to the set $P$. We study the number of critical points of $d_P$ when $P$ is random. In par...
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance Functions
2011/2/25
We present a novel modulation level classification (MLC) method based on probability distribution distance functions.
On the computation of edit distance functions
edit distance hereditary properties localization split graphs
2011/2/22
The edit distance between two graphs on the same labeled vertex set is the symmetric di erence of the edge sets. The edit distance function of hereditary property, H, is a function of p 2 [0; 1] and i...
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance
2011/1/4
We present a novel modulation level classification (MLC) method based on probability distribution distance functions. The proposed method uses modified Kuiper and Kolmogorov- Smirnov (KS) distances to...
Image Inpainting Based On Coherence Transport With Adapted Distance Functions
Image Processing Image Inpainting Distance Functions
2010/11/26
We discuss an extension of our method Image Inpainting Based on Coherence Transport. For the
latter method the pixels of the inpainting domain have to be serialized into an ordered list. Up till now,...
Subdifferentials of distance functions, approximations and enlargements
Distance function Normal cone Regularization Subdifferential
2007/12/11
In this work, we study some subdifferentials of the distance function to a nonempty nonconvex closed subset of a general Banach space. We relate them to the normal cone of the enlargements of the set ...