We show that half-integral polytopes obtained as the convex hull of a random set of half-integral points of the 0/1 cube have rank as high as Ω(log n/ log log n) with positive pr...
A d-dimensional polycube is a facet-connected set of cubes in d dimensions. Fixed polycubes are considered distinct if they differ in their shape or orientation. A proper d-dimens...
A d-dimensional polycube of size n is a connected set of n cubes in d dimensions, where connectivity is through (d−1)-dimensional faces. Enumeration of polycubes, and, in particu...
Andrei Asinowski, Gill Barequet, Ronnie Barequet, ...
In this article we present a visualisation algorithm based on image warping. A source data for the algorithm is a set of images with colour and depth information rendered for the ...
I consider the problem of finding all the modes of a mixture of multivariate Gaussian distributions, which has applications in clustering and regression. I derive exact formulas f...