Conditional quantization for uniform distributions on line segments and regular polygons

Pigar Biteng; Mathieu Caguiat; Tsianna Dominguez; Mrinal Kanti Roychowdhury

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arXiv · 2402.08036

Conditional quantization for uniform distributions on line segments and regular polygons

Pigar Biteng·Mathieu Caguiat·Tsianna Dominguez·Mrinal Kanti Roychowdhury

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Abstract

Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If in the quantization some of the elements in the support are preselected, then the quantization is called a conditional quantization. In this paper, we investigate the conditional quantization for the uniform distributions defined on the unit line segments and $m$-sided regular polygons, where $m\geq 3$, inscribed in a unit circle.

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Pigar Biteng, Mathieu Caguiat, Tsianna Dominguez, Mrinal Kanti Roychowdhury. 2024-02-12. Conditional quantization for uniform distributions on line segments and regular polygons. https://arxiv.org/abs/2402.08036

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