The asymptotic behaviour of the quantization errors for self-similar probabilities is determined
International audienceWe establish conditions to characterize probability measures by their L^p-quan...
For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under s...
An asymptotic formula is derived for the probability density of the error produced by scalar and vec...
The asymptotic behaviour of the quantization errors for self-similar probabilities is determined
Due to the rapidly increasing need for methods of data compression, quantization has become a flouri...
AbstractFor a probability measure P on Rd and n∈N consider en=inf∫mina∈αV(‖x−a‖)dP(x) where the infi...
Scaling phenomena can be found in a variety of physical situations, ranging from applications in hyd...
The quantization scheme in probability theory deals with finding a best approximation of a given pro...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
We elucidate the asymptotics of the Ls-quantization error induced by a sequence of Lr-optimal n-quan...
High-rate (or asymptotic) quantization theory has found formulas for the average squared length (mor...
Approximate and sample entropies are acclaimed tools for quantifying the regularity and unpredictabi...
Introduction A stochastic process Y (t) is defined as self-similar with self-similarity parameter H...
For a large class of dyadic homogeneous Cantor distributions in R, which are not necessarily self-si...
We introduce the quantization number and the essential covering rate. We treat the quantization for ...
International audienceWe establish conditions to characterize probability measures by their L^p-quan...
For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under s...
An asymptotic formula is derived for the probability density of the error produced by scalar and vec...
The asymptotic behaviour of the quantization errors for self-similar probabilities is determined
Due to the rapidly increasing need for methods of data compression, quantization has become a flouri...
AbstractFor a probability measure P on Rd and n∈N consider en=inf∫mina∈αV(‖x−a‖)dP(x) where the infi...
Scaling phenomena can be found in a variety of physical situations, ranging from applications in hyd...
The quantization scheme in probability theory deals with finding a best approximation of a given pro...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
We elucidate the asymptotics of the Ls-quantization error induced by a sequence of Lr-optimal n-quan...
High-rate (or asymptotic) quantization theory has found formulas for the average squared length (mor...
Approximate and sample entropies are acclaimed tools for quantifying the regularity and unpredictabi...
Introduction A stochastic process Y (t) is defined as self-similar with self-similarity parameter H...
For a large class of dyadic homogeneous Cantor distributions in R, which are not necessarily self-si...
We introduce the quantization number and the essential covering rate. We treat the quantization for ...
International audienceWe establish conditions to characterize probability measures by their L^p-quan...
For homogeneous one-dimensional Cantor sets, which are not necessarily self-similar, we show under s...
An asymptotic formula is derived for the probability density of the error produced by scalar and vec...