Projector operators in clustering
Functional Analysis
2017-07-12 v1
Abstract
In a recent paper the notion of {\em quantum perceptron} has been introduced in connection with projection operators. Here we extend this idea, using these kind of operators to produce a {\em clustering machine}, i.e. a framework which generates different clusters from a set of input data. Also, we consider what happens when the orthonormal bases first used in the definition of the projectors are replaced by frames, and how these can be useful when trying to connect some noised signal to a given cluster.
Keywords
Cite
@article{arxiv.1605.03093,
title = {Projector operators in clustering},
author = {Fabio Bagarello and Marco Cinà and Francesco Gargano},
journal= {arXiv preprint arXiv:1605.03093},
year = {2017}
}