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16

MA
2010
Springer

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Quantization and clustering with Bregman divergences

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Quantization and clustering with Bregman divergences

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This paper deals with the quantization problem of a random variable X taking values in a separable and reexive Banach space, and with the related question of clustering independent random observations distributed as X. To this aim, we use a quantization scheme with a class of distortion measures called Bregman divergences, and provide conditions ensuring the existence of an optimal quantizer and an empirically optimal quantizer. Rates of convergence are also discussed.

Aurélie Fischer

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Communications | Independent Random Observations | MA 2010 | Optimal Quantizer | Reexive Banach Space |

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Added	29 Jan 2011
Updated	29 Jan 2011
Type	Journal
Year	2010
Where	MA
Authors	Aurélie Fischer

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