83 citations · 173 across the 26 of their papers we have counts for
6 papers · 1 filter
A Dynamical Approximation Scheme on the Stiefel manifold for Wasserstein Gradient Flows
Isabella Carla Gonnella, Olga Mula, Federico Pichi +1
We propose a meshless Lagrangian dynamical method for approximating Wasserstein gradient flows (WGFs). The evolving measure is represented as the pushforward of the initial measure…
Stochastic bifurcation analysis via polynomial chaos: consistency and convergence of branch-approximating solutions
Giacomo Venier, Isabella Carla Gonnella, Federico Pichi +1
Parameter-dependent dynamical systems that exhibit bifurcations pose significant computational challenges, as traditional continuation methods require repeated, costly simulations…
Integrating Artificial Intelligence, Physics, and Internet of Things: A Framework for Cultural Heritage Conservation
Carmine Valentino, Federico Pichi, Francesco Colace +2
The conservation of cultural heritage increasingly relies on integrating technological innovation with domain expertise to ensure effective monitoring and predictive maintenance. T…
A Multi-Fidelity Parametric Framework for Reduced-Order Modeling using Optimal Transport-based Interpolation: Applications to Diffused-Interface Two-Phase Flows
Moaad Khamlich, Niccolò Tonicello, Federico Pichi +1
This work introduces a data-driven, non-intrusive reduced-order modeling (ROM) framework that leverages Optimal Transport (OT) for multi-fidelity and parametric problems in two-pha…
Bifurcation curve detection with deflation for multiparametric PDEs
Nitin Kumar, Federico Pichi, Gianluigi Rozza
This work presents a comprehensive framework for capturing bifurcating phenomena and detecting bifurcation curves in nonlinear multiparametric partial differential equations, where…
Latent Dynamics Graph Convolutional Networks for model order reduction of parameterized time-dependent PDEs
Lorenzo Tomada, Federico Pichi, Gianluigi Rozza
Graph Neural Networks (GNNs) are emerging as powerful tools for nonlinear Model Order Reduction (MOR) of time-dependent parameterized Partial Differential Equations (PDEs). However…