2 papers
cs.LG2024
Proper Latent Decomposition
Daniel Kelshaw, Luca Magri
In this paper, we introduce the proper latent decomposition (PLD) as a generalization of the proper orthogonal decomposition (POD) on manifolds. PLD is a nonlinear reduced-order mo…
physics.flu-dyn2024
Physics-constrained convolutional neural networks for inverse problems in spatiotemporal partial differential equations
Daniel Kelshaw, Luca Magri
We propose a physics-constrained convolutional neural network (PC-CNN) to solve two types of inverse problems in partial differential equations (PDEs), which are nonlinear and vary…