Search Results for author: Francesco Romor

Found 4 papers, 2 papers with code

Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method

no code implementations1 Mar 2022 Francesco Romor, Giovanni Stabile, Gianluigi Rozza

Non-affine parametric dependencies, nonlinearities and advection-dominated regimes of the model of interest can result in a slow Kolmogorov n-width decay, which precludes the realization of efficient reduced-order models based on linear subspace approximations.

A local approach to parameter space reduction for regression and classification tasks

1 code implementation22 Jul 2021 Francesco Romor, Marco Tezzele, Gianluigi Rozza

In this work we propose a new method called local active subspaces (LAS), which explores the synergies of active subspaces with supervised clustering techniques in order to carry out a more efficient dimension reduction in the parameter space.

Clustering Dimensionality Reduction +1

Multi-fidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces

1 code implementation16 Oct 2020 Francesco Romor, Marco Tezzele, Gianluigi Rozza

We can augment the inputs with the observations of low-fidelity models in order to learn a more expressive latent manifold and thus increment the model's accuracy.

Gaussian Processes regression

Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method

no code implementations27 Aug 2020 Francesco Romor, Marco Tezzele, Andrea Lario, Gianluigi Rozza

Nonlinear extensions to the active subspaces method have brought remarkable results for dimension reduction in the parameter space and response surface design.

Numerical Analysis Numerical Analysis 15A18, 15A60, 41A30, 41A63, 65D15, 65N30

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