Pierre Bertrand

Faculty , Aix-Marseille Université , Faculté d'économie et de gestion (FEG)

Econometrics, Finance and mathematical methods

Status: Assistant professor
Research domain(s): Game theory and social networks
Thesis: 2021, Université Paris Cité (Paris 6)
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Contact: pierre.bertrand.1[at]univ-amu.fr
Address: AMU - AMSE
5-9 Boulevard Maurice Bourdet, CS 50498
13205 Marseille Cedex 1

Chapitre de livre

Some smooth divergences for $\ell_{1}-$approximations

Pierre Bertrand, Wolfgang Stummer, Lecture Notes in Computer Science, Vol. 16033, pp. 359-368, 10/2025

Abstract For some smooth special case of generalized $\varphi-$divergences as well as of new divergences (called scaled shift divergences), we derive approximations of the omnipresent (weighted) $\ell_{1}-$distance and (weighted) $\ell_{1}-$norm.

Keywords Divergence Kullback-Leibler, Divergence analysis, $\ell1-$distance/norm, Generalized $\varphi-$divergences

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