Nicola Rares Franco

Publication Activity (10 Years)

Years Active: 2022-2024
Publications (10 Years): 13

Top Topics

Error Estimates

Top Venues

Adv. Comput. Math.

Neural Networks

J. Sci. Comput.

Publications

Nicola Rares Franco, Daniel Fraulin, Andrea Manzoni, Paolo Zunino
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields. Adv. Comput. Math. 50 (5) (2024)
Nicola Rares Franco, Andrea Manzoni, Paolo Zunino, Jan S. Hesthaven
Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction. CoRR (2024)
Nicola Rares Franco, Simone Brugiapaglia
A practical existence theorem for reduced order models based on convolutional autoencoders. CoRR (2024)
Piermario Vitullo, Nicola Rares Franco, Paolo Zunino
Deep learning enhanced cost-aware multi-fidelity uncertainty quantification of a computational model for radiotherapy. CoRR (2024)
Simone Brivio, Stefania Fresca, Nicola Rares Franco, Andrea Manzoni
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition. Adv. Comput. Math. 50 (3) (2024)
Simone Brivio, Stefania Fresca, Nicola Rares Franco, Andrea Manzoni
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition. CoRR (2023)
Nicola Rares Franco, Daniel Fraulin, Andrea Manzoni, Paolo Zunino
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields. CoRR (2023)
Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces. J. Sci. Comput. 97 (2) (2023)
Nicola Rares Franco, Stefania Fresca, Andrea Manzoni, Paolo Zunino
Approximation bounds for convolutional neural networks in operator learning. Neural Networks 161 (2023)
Nicola Rares Franco, Stefania Fresca, Filippo Tombari, Andrea Manzoni
Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks. CoRR (2023)
Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Nonlinear model order reduction for problems with microstructure using mesh informed neural networks. CoRR (2023)
Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Learning Operators with Mesh-Informed Neural Networks. CoRR (2022)
Nicola Rares Franco, Stefania Fresca, Andrea Manzoni, Paolo Zunino
Approximation bounds for convolutional neural networks in operator learning. CoRR (2022)