In the present paper, we treat the problem of learning averages out of a set of unitary matrices. We discuss a possible learning technique based on the differential geometrical properties of the Lie group of unitary matrices. We first recall some relevant notions from differential geometry, mainly related to Lie group theory, and then we propose a scheme for learning averages. Some numerical experiments will illustrate the features of the learnt averages. © 2009 IEEE.
Learning averages over the Lie group of unitary matrices / Fiori, Simone. - (2009), pp. 833-837. [10.1109/IJCNN.2009.5178714]
Learning averages over the Lie group of unitary matrices
FIORI, Simone
2009-01-01
Abstract
In the present paper, we treat the problem of learning averages out of a set of unitary matrices. We discuss a possible learning technique based on the differential geometrical properties of the Lie group of unitary matrices. We first recall some relevant notions from differential geometry, mainly related to Lie group theory, and then we propose a scheme for learning averages. Some numerical experiments will illustrate the features of the learnt averages. © 2009 IEEE.File in questo prodotto:
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