# Consistency of Probability Measure Quantization by Means of Power Repulsion–Attraction Potentials

@article{Fornasier2013ConsistencyOP,
title={Consistency of Probability Measure Quantization by Means of Power Repulsion–Attraction Potentials},
author={M. Fornasier and J. H{\"u}tter},
journal={Journal of Fourier Analysis and Applications},
year={2013},
volume={22},
pages={694-749}
}
• Published 2013
• Mathematics
• Journal of Fourier Analysis and Applications
This paper is concerned with the study of the consistency of a variational method for probability measure quantization, deterministically realized by means of a minimizing principle, balancing power repulsion and attraction potentials. The proof of consistency is based on the construction of a target energy functional whose unique minimizer is actually the given probability measure $$\omega$$ω to be quantized. Then we show that the discrete functionals, defining the discrete quantizers as… Expand
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• Mathematics, Medicine
• Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
• 2014
• 29
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