Abstract—The k-means method is a simple and fast clustering technique that exhibits the problem of specifying the optimal number of clusters preliminarily. We address the problem...
In the p-Set Splitting problem we are given a universe U, a family F of subsets of U and a positive integer k and the objective is to find a partition of U into W and B such that...
The stationary set splitting game is a game of perfect information of length 1 between two players, unsplit and split, in which unsplit chooses stationarily many countable ordinal...
The binary set splitting with k-d trees (BISK) algorithm is introduced. An embedded wavelet-based image coder based on the popular bitplane-coding paradigm, BISK is designed speci...
We show that a set is m-autoreducible if and only if it is m-mitotic. This solves a long standing open question in a surprising way. As a consequence of this unconditional result a...