32 citations · 167 across the 40 of their papers we have counts for
7 papers · 2 filters
IT formulae for gamma target: mutual information and relative entropy
Benjamin Arras, Yvik Swan
In this paper, we introduce new Stein identities for gamma target distribution as well as a new non-linear channel specifically designed for gamma inputs. From these two ingredient…
Stein's method, many interacting worlds and quantum mechanics
Ian W. McKeague, Erol A. Peköz, Yvik Swan
Hall, Deckert and Wiseman (2014) recently proposed that quantum theory can be understood as the continuum limit of a deterministic theory in which there is a large, but finite, num…
A new approach to the Stein-Tikhomirov method: with applications to the second Wiener chaos and Dickman convergence
Benjamin Arras, Guillaume Mijoule, Guillaume Poly +1
In this paper, we propose a general means of estimating the rate at which convergences in law occur. Our approach, which is an extension of the classical Stein-Tikhomirov method, r…
An algebra of Stein operators
Robert E. Gaunt, Guillaume Mijoule, Yvik Swan
We build upon recent advances on the distributional aspect of Stein's method to propose a novel and flexible technique for computing Stein operators for random variables that can b…
One step futher: an explicit solution to Robbins' problem when
Rémi Dendievel, Yvik Swan
Fix some and let be independent random variables drawn from the uniform distribution on . A decision maker is shown the variables se…
On the rate of convergence in de Finetti's representation theorem
Guillaume Mijoule, Giovanni Peccati, Yvik Swan
A consequence of de Finetti's representation theorem is that for every infinite sequence of exchangeable 0-1 random variables , there exists a probability measure $…
Stein's method on the second Wiener chaos : 2-Wasserstein distance
Benjamin Arras, Ehsan Azmoodeh, Guillaume Poly +1
In the first part of the paper we use a new Fourier technique to obtain a Stein characterizations for random variables in the second Wiener chaos. We provide the connection between…