Distortion mismatch in the quantization of probability measures

Details Distortion mismatch in the quantization of probability measures Distortion mismatch in the quantization of probability measures

2006-02-17

arxiv.org/abs/math/0602381v1

Mathematics

Probability

25p

Scientific paper

We elucidate the asymptotics of the L^s-quantization error induced by a sequence of L^r-optimal n-quantizers of a probability distribution P on R^d when s>r. In particular we show that under natural assumptions, the optimal rate is preserved as long as s

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