Enlace:   https://conectaha.csic.es/b/mar-mrf-oj9-ui0

In this talk, we will review how GANs are formulated as a competitive game and their optima as Nash equilibria. We shall comment some of the known results about the convergence of GANs and their relation to the minimization of the Jensen-Shannon divergence and optimum transport problems. Additionally, we will discuss how, when the parameter space is compact, very interesting features arise through the interplay of the GAN flow and the topology of the parameter space. In the case of GANs on tori, we shall show that their dynamics can be understood by decomposing the objective function of the adversary min-max game into its truncated Fourier series. This viewpoint sheds some light upon the instability of the training process, showing that the spiral attractors of the GAN flow actually arise as small perturbations of periodic orbits.