Strict maximum separability of two finite sets: an algorithmic approach
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, p. 295.

Voir la notice de l'article dans European Digital Mathematics Library

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.
Classification : 68T10
Mots-clés : binary classifiers, optimal separability, recursive methods 
@article{IJAMCS_2005__15_2_207744,
     author = {Dorota Cendrowska},
     title = {Strict maximum separability of two finite sets: an algorithmic approach},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {295},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2005},
     zbl = {1085.68146},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207744/}
}
TY  - JOUR
AU  - Dorota Cendrowska
TI  - Strict maximum separability of two finite sets: an algorithmic approach
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2005
SP  - 295
VL  - 15
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207744/
LA  - en
ID  - IJAMCS_2005__15_2_207744
ER  - 
%0 Journal Article
%A Dorota Cendrowska
%T Strict maximum separability of two finite sets: an algorithmic approach
%J International Journal of Applied Mathematics and Computer Science
%D 2005
%P 295
%V 15
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207744/
%G en
%F IJAMCS_2005__15_2_207744
Dorota Cendrowska. Strict maximum separability of two finite sets: an algorithmic approach. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 2, p. 295. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_2_207744/