61 citations · 184 across the 14 of their papers we have counts for
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math.PR2005★ 14 cited
High-resolution product quantization for Gaussian processes under sup-norm distortion
Harald Luschgy, Gilles Pagès
We derive high-resolution upper bounds for optimal product quantization of pathwise contionuous Gaussian processes respective to the supremum norm on [0,T]^d. Moreover, we describe…
math.PR2005★ 1 cited
Optimal quantizers for Radon random vectors in a Banach space
Siegried Graf, Harald Luschgy, Pagès Gilles
For every integer n and evrery positive real number r > 0 and a Radon random vector X with values in a Banach space E, let e\_{n,r}(X,E) = inf{(E (\min\_{a \in α} || X-a ||^r)^{1/r…
math.PR2005
Functional quantization and metric entropy for Riemann-Liouville processes
Harald Luschgy, Gilles Pagès
We derive a high-resolution formula for the -quantization errors of Riemann-Liouville processes and the sharp Kolmogorov entropy asymptotics for related Sobolev balls. We desc…