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Strict Maximum Separability of Two Finite Sets: An Algorithmic Approach

Cendrowska D.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 2

295-304

The paper presents a recursive algorithm for the investigation of a strict, linear separation in the Euclidean space. In the case when sets are linearly separable, it allows us to determine the coefficients of the hyperplanes. An example of using this algorithm as well as its drawbacks are shown. Then the algorithm of determining an optimal separation (in the sense of maximizing the distance between the two sets) is presented.