Evolution in time of for some selected species obtained by integrating the ODE in the physical space , (dotted lines, ground truth), by directly autoencoding the original data, , (dashed lines), and by decoding the evolution of derived by integrating the ODE system g in the latent space (solid lines). This corresponds to , where is represented by the solid lines in Fig. 6). In this plot we report 6 species out of the 29 total.