Strict maximum separability of two finite sets: an algorithmic approach

Dorota Cendrowska

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 2, page 295-304
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Cendrowska, Dorota. "Strict maximum separability of two finite sets: an algorithmic approach." International Journal of Applied Mathematics and Computer Science 15.2 (2005): 295-304. <http://eudml.org/doc/207744>.

@article{Cendrowska2005,
abstract = {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.},
author = {Cendrowska, Dorota},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {binary classifiers; optimal separability; recursive methods},
language = {eng},
number = {2},
pages = {295-304},
title = {Strict maximum separability of two finite sets: an algorithmic approach},
url = {http://eudml.org/doc/207744},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Cendrowska, Dorota
TI - Strict maximum separability of two finite sets: an algorithmic approach
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 2
SP - 295
EP - 304
AB - 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.
LA - eng
KW - binary classifiers; optimal separability; recursive methods
UR - http://eudml.org/doc/207744
ER -

References

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