Search Results for author: Alessandro Scagliotti

Found 5 papers, 0 papers with code

Normalizing flows as approximations of optimal transport maps via linear-control neural ODEs

no code implementations2 Nov 2023 Alessandro Scagliotti, Sara Farinelli

The term "Normalizing Flows" is related to the task of constructing invertible transport maps between probability measures by means of deep neural networks.

A minimax optimal control approach for robust neural ODEs

no code implementations26 Oct 2023 Cristina Cipriani, Alessandro Scagliotti, Tobias Wöhrer

In this paper, we address the adversarial training of neural ODEs from a robust control perspective.

From NeurODEs to AutoencODEs: a mean-field control framework for width-varying Neural Networks

no code implementations5 Jul 2023 Cristina Cipriani, Massimo Fornasier, Alessandro Scagliotti

The connection between Residual Neural Networks (ResNets) and continuous-time control systems (known as NeurODEs) has led to a mathematical analysis of neural networks which has provided interesting results of both theoretical and practical significance.

Losing momentum in continuous-time stochastic optimisation

no code implementations8 Sep 2022 Kexin Jin, Jonas Latz, ChenGuang Liu, Alessandro Scagliotti

This model is a piecewise-deterministic Markov process that represents the particle movement by an underdamped dynamical system and the data subsampling through a stochastic switching of the dynamical system.

Image Classification

Deep Learning Approximation of Diffeomorphisms via Linear-Control Systems

no code implementations24 Oct 2021 Alessandro Scagliotti

We consider a control system of the form $\dot x = \sum_{i=1}^lF_i(x)u_i$, with linear dependence in the controls, and we use the corresponding flow to approximate the action of a diffeomorphism on a compact ensemble of points.

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