Projector operators in clustering

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In a recent paper, the notion of quantum perceptron has been introduced in connection with projection operators. Here, we extend this idea, using these kind of operators to produce a clustering machine, that is, a framework that 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.
Original languageEnglish
Pages (from-to)49-59
Number of pages11
JournalMathematical Methods in the Applied Sciences
Volume40
Publication statusPublished - 2017

Fingerprint

Projector
Clustering
Neural networks
Orthonormal basis
Projection Operator
Operator
Perceptron
Framework

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

Projector operators in clustering. / Gargano, Francesco; Bagarello, Fabio; Bagarello, Fabio.

In: Mathematical Methods in the Applied Sciences, Vol. 40, 2017, p. 49-59.

Research output: Contribution to journalArticle

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