18 citations · 18 across the 5 of their papers we have counts for
3 papers · 1 filter
Gaussian approximation on the Skorokhod space via Malliavin calculus and regularization
Solesne Bourguin, Simon Campese
We introduce a carré du champ operator for Banach-valued random elements, taking values in the projective tensor product, and use it to control the bounded Lipschitz distance betwe…
A Caveat on Metrizing Convergence in Distribution on Hilbert Spaces
Federico Bassetti, Solesne Bourguin, Simon Campese +1
We consider Sobolev-type distances on probability measures over separable Hilbert spaces involving the Schatten- norms, which include as special cases a distance first introduce…
Quantitative Error Bounds for Scaling Limits of Stochastic Iterative Algorithms
Xiaoyu Wang, Mikolaj J. Kasprzak, Jeffrey Negrea +2
Stochastic iterative algorithms, including stochastic gradient descent (SGD) and stochastic gradient Langevin dynamics (SGLD), are widely utilized for optimization and sampling in…