Showing 2026Show all
3 papers · 1 filter
math-ph2026
Cluster Attention Neural Operators for Solving Parametric Partial Differential Equations
Ming Zhong, Antonio Colanera, Gianluigi Rozza +1
Traditional simulations of parametric partial differential equations (PDEs) rely on repetitive computations for each parameter, which makes high-fidelity design impractical. Neural…
nlin.CD2026
Fuzzy local reduced order models (fl-ROMs)
Antonio Colanera, Luca Magri
Nonlinear dynamical systems often evolve on low-dimensional manifolds with intricate geometry, making them difficult to approximate with a single global reduced-order model (ROM).…
nlin.CD2026
Adjoint-based optimization with quantized local reduced-order models for spatiotemporally chaotic systems
Defne E. Ozan, Antonio Colanera, Luca Magri
We introduce a computationally efficient and accurate reduced order modelling approach for the optimization of spatiotemporally chaotic systems. The proposed method combines quanti…