### Abstract

Original language | English |
---|---|

Pages (from-to) | 49-59 |

Number of pages | 11 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 40 |

Publication status | Published - 2017 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

### Cite this

*Mathematical Methods in the Applied Sciences*,

*40*, 49-59.

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

Research output: Contribution to journal › Article

*Mathematical Methods in the Applied Sciences*, vol. 40, pp. 49-59.

}

TY - JOUR

T1 - Projector operators in clustering

AU - Gargano, Francesco

AU - Bagarello, Fabio

AU - Bagarello, Fabio

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/194963

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476

M3 - Article

VL - 40

SP - 49

EP - 59

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

ER -