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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

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Academic year: 2021

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Figure

Figure 1: Convergence of average errors in training set.
Figure 2: Errors on M test for the Burgers equation. Top figures: average error. Bottom figures: worst
Figure 3: Errors on M test for the ViscousBurgers equation. Top figures: average error
Figure 1c shows the decay of the error of the PCA and tPCA methods in the average sense and for the functions used in the training phase
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