Dimension Reduction in $L_p$, $0<p<2$

Details Dimension Reduction in $L_p$, $0<p<2$ Dimension Reduction in $L_p$, $0<p<2$

2011-10-10

arxiv.org/abs/1110.2148v1

Mathematics

Metric Geometry

Scientific paper

Complementing a recent observation of Newman and Rabinovich for $p=1$ we
observe here that for all $0distortion $(1+\e)$ into $\ell_p^n$ where $n$ is linear in $k$ (and polynomial
in $\e^{-1}$).

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