Centers and Nearest Points of Sets

Convex Sets and Nearest Points. Ip

Convex Sets and Nearest Points1

Some points on generalized open sets

The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.

Nearest Points on Toric Varieties

We determine the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the A-discriminant in terms of Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point.

Finding and evaluating sets of nearest neighbours

In this paper, we consider two applications of distributional similarity measures, probability estimation and prediction of semantic similarity. We investigate whether high performance in one application area is correlated with high performance in the other. This work also provides an evaluation of two state-of-the-art distributional similarity measures and introduces a variant of one. Further,...