Convergence rate of optimal quantization grids and application to empirical measure
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Publication:4969145
zbMath1502.62076arXiv1811.08351MaRDI QIDQ4969145
Publication date: 5 October 2020
Full work available at URL: https://arxiv.org/abs/1811.08351
empirical measureoptimal quantizationdistortion functionclustering performanceconvergence rate of optimal quantization
Classification and discrimination; cluster analysis (statistical aspects) (62H30) Approximations to statistical distributions (nonasymptotic) (62E17)
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- Asymptotics of the maximal radius of an \(L^{r}\)-optimal sequence of quantizers
- On the rate of convergence in Wasserstein distance of the empirical measure
- Oracle inequalities in empirical risk minimization and sparse recovery problems. École d'Été de Probabilités de Saint-Flour XXXVIII-2008.
- Self-organization and a.s. convergence of the one-dimensional Kohonen algorithm with non-uniformly distributed stimuli
- Recursive computation of the invariant distribution of a diffusion
- Strong consistency of k-means clustering
- A central limit theorem for k-means clustering
- A space quantization method for numerical integration
- A note on a three-term recurrence for a tridiagonal matrix.
- Numerical probability. An introduction with applications to finance
- On the a.s. convergence of the Kohonen algorithm with a general neighborhood function
- Foundations of quantization for probability distributions
- Functional quantization rate and mean regularity of processes with an application to Lévy processes
- Pointwise Convergence of the Lloyd I Algorithm in Higher Dimension
- Exponential rate of convergence for Lloyd's method I
- On the Performance of Clustering in Hilbert Spaces
- Uniqueness of locally optimal quantizer for log-concave density and convex error weighting function
- Quantization and the method of<tex>k</tex>-means
- Sufficient conditions for uniqueness of a locally optimal quantizer for a class of convex error weighting functions
- Convergence of the one-dimensional Kohonen algorithm
- Least squares quantization in PCM
- Introduction to vector quantization and its applications for numerics