6533b86ffe1ef96bd12cdcf0
RESEARCH PRODUCT
Projector operators in clustering
Fabio BagarelloM. CinàFrancesco Garganosubject
Mathematics - Functional AnalysisEngineering (all)FOS: MathematicsCluster analysis harmonic analysis on Euclidean spaces pattern recognitionMathematics (all)Settore MAT/07 - Fisica MatematicaFunctional Analysis (math.FA)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-04-06 |