We tackle the problem of separating two finite sets of samples by means of a spherical surface, focusing on the case where the center of the sphere is fixed. Such approach reduces to the minimization of a convex and nonsmooth function of just one variable (the radius), revealing very effective in terms of computational time. In particular, we analyze the case where the center of the sphere is selected far from both the two sets, embedding the grossone idea and obtaining a kind of linear separation. Some numerical results are presented on classical binary data sets drawn from the literature.

Spherical separation with infinitely far center

Astorino A.;Fuduli A.
2020

Abstract

We tackle the problem of separating two finite sets of samples by means of a spherical surface, focusing on the case where the center of the sphere is fixed. Such approach reduces to the minimization of a convex and nonsmooth function of just one variable (the radius), revealing very effective in terms of computational time. In particular, we analyze the case where the center of the sphere is selected far from both the two sets, embedding the grossone idea and obtaining a kind of linear separation. Some numerical results are presented on classical binary data sets drawn from the literature.
Classification
Grossone
Spherical separation
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/308483
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