1 code implementation • 5 Mar 2024 • Edoardo Caldarelli, Antoine Chatalic, Adrià Colomé, Cesare Molinari, Carlos Ocampo-Martinez, Carme Torras, Lorenzo Rosasco
In this paper, we study how the Koopman operator framework can be combined with kernel methods to effectively control nonlinear dynamical systems.
no code implementations • 10 Jun 2022 • Marco Rando, Cesare Molinari, Silvia Villa, Lorenzo Rosasco
For smooth convex functions we prove almost sure convergence of the iterates and a convergence rate on the function values of the form $O(d/l k^{-c})$ for every $c<1/2$, which is arbitrarily close to the one of Stochastic Gradient Descent (SGD) in terms of number of iterations.
no code implementations • 1 Feb 2022 • Cesare Molinari, Mathurin Massias, Lorenzo Rosasco, Silvia Villa
Our approach is based on a primal-dual algorithm of which we analyze convergence and stability properties, even in the case where the original problem is unfeasible.
no code implementations • 22 Dec 2021 • Antonio Silveti-Falls, Cesare Molinari, Jalal Fadili
Under slightly stricter assumptions, we show almost sure weak convergence of the pointwise iterates to a saddle point.
1 code implementation • 17 Jun 2020 • Cesare Molinari, Mathurin Massias, Lorenzo Rosasco, Silvia Villa
We study iterative regularization for linear models, when the bias is convex but not necessarily strongly convex.
no code implementations • 11 May 2020 • Antonio Silveti-Falls, Cesare Molinari, Jalal Fadili
In this paper we propose and analyze inexact and stochastic versions of the CGALP algorithm developed in the authors' previous paper, which we denote ICGALP, that allows for errors in the computation of several important quantities.