Guillaume Boutoille

collaborators

2 papers

math.FA2026

Zador Theorem for optimal quantization with respect to Bregman divergences

Guillaume Boutoille, Gilles Pagès

We establish a Zador like theorem for $L^{r}$ -optimal vector quantization when the similarity measure is a twice differentiable Bregman divergence of a strictly convex function. On o…

math.PR2025

Optimal Bregman quantization : existence and uniqueness of optimal quantizers revisited

Guillaume Boutoille, Gilles Pagès

In this paper we revisit the exsistence theorem for $L^{r}$ -optimal quantization, $r \geq 2$ , with respect to a Bregman divergence: we establish the existence of optimal quantizaers un…