Nicola R. Franco

Orcid: 0000-0002-4980-5606

According to our database1, Nicola R. Franco authored at least 15 papers between 2021 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields.
Adv. Comput. Math., October, 2024

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., June, 2024

Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum.
CoRR, 2024

Measurability and continuity of parametric low-rank approximation in Hilbert spaces: linear operators and random variables.
CoRR, 2024

Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction.
CoRR, 2024

Deep learning enhanced cost-aware multi-fidelity uncertainty quantification of a computational model for radiotherapy.
CoRR, 2024

A practical existence theorem for reduced order models based on convolutional autoencoders.
CoRR, 2024

2023
Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces.
J. Sci. Comput., November, 2023

Approximation bounds for convolutional neural networks in operator learning.
Neural Networks, April, 2023

Deep learning based reduced order modeling of Darcy flow systems with local mass conservation.
CoRR, 2023

Nonlinear model order reduction for problems with microstructure using mesh informed neural networks.
CoRR, 2023

Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks.
CoRR, 2023

2022
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations.
Math. Comput., November, 2022

Learning Operators with Mesh-Informed Neural Networks.
CoRR, 2022

2021
Learning High-Order Interactions via Targeted Pattern Search.
CoRR, 2021


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