6533b82ffe1ef96bd1295a4b
RESEARCH PRODUCT
Projector operators in clustering
Fabio BagarelloFrancesco GarganoMarco Cinàsubject
Theoretical computer scienceGeneral MathematicsGeneral Engineering020206 networking & telecommunications02 engineering and technologyPerceptronlaw.inventionConnection (mathematics)Set (abstract data type)ProjectorlawPattern recognition (psychology)0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingOrthonormal basisProjection (set theory)Cluster analysisMathematicsdescription
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. Copyright © 2016 John Wiley & Sons, Ltd.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-27 | Mathematical Methods in the Applied Sciences |