1 code implementation • 25 May 2023 • Dario Coscia, Nicola Demo, Gianluigi Rozza
In this work, we present GAROM, a new approach for reduced order modelling (ROM) based on generative adversarial networks (GANs).
no code implementations • 24 Feb 2023 • Nicola Demo, Marco Tezzele, Gianluigi Rozza
We propose to couple the model reduction to a machine learning residual learning, such that the above-mentioned error can be learned by a neural network and inferred for new predictions.
no code implementations • 10 Feb 2023 • Martina Teruzzi, Nicola Demo, Gianluigi Rozza
To model the typical operation of industrial plants, we propose several additions with respect to the standard graphs: 1. a quantitative measure to control the overall residual capacity, 2. nodes of different categories - and then different behaviors - and 3. a fault propagation procedure based on the predecessors and the redundancy of the system.
no code implementations • 26 Oct 2022 • Anna Ivagnes, Nicola Demo, Gianluigi Rozza
In this work, we propose a model order reduction framework to deal with inverse problems in a non-intrusive setting.
no code implementations • 24 Oct 2022 • Dario Coscia, Laura Meneghetti, Nicola Demo, Giovanni Stabile, Gianluigi Rozza
The fundamental building block of a CNN is a trainable filter, represented as a discrete grid, used to perform convolution on discrete input data.
no code implementations • 27 Jul 2022 • Laura Meneghetti, Nicola Demo, Gianluigi Rozza
As a major breakthrough in artificial intelligence and deep learning, Convolutional Neural Networks have achieved an impressive success in solving many problems in several fields including computer vision and image processing.
no code implementations • 26 Oct 2021 • Nicola Demo, Maria Strazzullo, Gianluigi Rozza
In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations.
no code implementations • 18 Oct 2021 • Laura Meneghetti, Nicola Demo, Gianluigi Rozza
The focus of this paper is the application of classical model order reduction techniques, such as Active Subspaces and Proper Orthogonal Decomposition, to Deep Neural Networks.
no code implementations • 14 Aug 2021 • Davide Papapicco, Nicola Demo, Michele Girfoglio, Giovanni Stabile, Gianluigi Rozza
Models with dominant advection always posed a difficult challenge for projection-based reduced order modelling.
no code implementations • 3 Dec 2020 • Giulio Ortali, Nicola Demo, Gianluigi Rozza
This work describes the implementation of a data-driven approach for the reduction of the complexity of parametrical partial differential equations (PDEs) employing Proper Orthogonal Decomposition (POD) and Gaussian Process Regression (GPR).
GPR Numerical Analysis Numerical Analysis
1 code implementation • 12 Jun 2020 • Nicola Demo, Marco Tezzele, Gianluigi Rozza
In this work, we present an extension of the genetic algorithm (GA) which exploits the supervised learning technique called active subspaces (AS) to evolve the individuals on a lower dimensional space.
Numerical Analysis Numerical Analysis Optimization and Control
1 code implementation • 15 Jan 2020 • Marco Tezzele, Nicola Demo, Giovanni Stabile, Andrea Mola, Gianluigi Rozza
In this work we present an advanced computational pipeline for the approximation and prediction of the lift coefficient of a parametrized airfoil profile.
Numerical Analysis Numerical Analysis
no code implementations • 30 Jul 2019 • Nicola Demo, Marco Tezzele, Gianluigi Rozza
Using this space, an approximation of the numerical solution for new parameters can be computed in real-time response scenario, thanks to the reduced dimensionality of the problem.
Numerical Analysis Numerical Analysis
1 code implementation • 15 May 2019 • Nicola Demo, Marco Tezzele, Andrea Mola, Gianluigi Rozza
Mandatory ingredient for the ROM methods is the relation between the high-fidelity solutions and the parameters.
Numerical Analysis
1 code implementation • 14 May 2019 • Marco Tezzele, Nicola Demo, Gianluigi Rozza
In previous works we studied the reduction of the parameter space in naval engineering through AS [38, 10] focusing on different parts of the hull.
Numerical Analysis
no code implementations • 21 Nov 2018 • Fabrizio Garotta, Nicola Demo, Marco Tezzele, Massimo Carraturo, Alessandro Reali, Gianluigi Rozza
In this contribution, we coupled the isogeometric analysis to a reduced order modelling technique in order to provide a computationally efficient solution in parametric domains.
Numerical Analysis
2 code implementations • 29 Oct 2018 • Marco Tezzele, Nicola Demo, Andrea Mola, Gianluigi Rozza
In this work we present an integrated computational pipeline involving several model order reduction techniques for industrial and applied mathematics, as emerging technology for product and/or process design procedures.
Numerical Analysis
no code implementations • 20 Mar 2018 • Marco Tezzele, Nicola Demo, Mahmoud Gadalla, Andrea Mola, Gianluigi Rozza
We present the results of the application of a parameter space reduction methodology based on active subspaces (AS) to the hull hydrodynamic design problem.
Numerical Analysis
1 code implementation • 20 Mar 2018 • Nicola Demo, Marco Tezzele, Gianluca Gustin, Gianpiero Lavini, Gianluigi Rozza
Shape optimization is a challenging task in many engineering fields, since the numerical solutions of parametric system may be computationally expensive.
Numerical Analysis
1 code implementation • 19 Jan 2018 • Nicola Demo, Marco Tezzele, Andrea Mola, Gianluigi Rozza
To this end, a fully automated procedure has been implemented to produce several small shape perturbations of an original hull CAD geometry which are then used to carry out high-fidelity flow simulations and collect data for the active subspaces analysis.
Numerical Analysis