Search Results for author: Cesare Molinari

Found 6 papers, 2 papers with code

Linear quadratic control of nonlinear systems with Koopman operator learning and the Nyström method

1 code implementation5 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.

Operator learning

Stochastic Zeroth order Descent with Structured Directions

no code implementations10 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.

Iterative regularization for low complexity regularizers

no code implementations1 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.

A Stochastic Bregman Primal-Dual Splitting Algorithm for Composite Optimization

no code implementations22 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.

Iterative regularization for convex regularizers

1 code implementation17 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.

Inexact and Stochastic Generalized Conditional Gradient with Augmented Lagrangian and Proximal Step

no code implementations11 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.

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