Supplementary Information (SI) A Spiking dynamics as a greedy optimization algorithm on the minimax objective

By plugging in Eq. (4), we have X Next, we derive the dynamics of the membrane potential. For the E neurons, we proceed similarly. We cite a theorem from [46]. We apply Thm. 1 to our minimax objective, for the maximization problem with The last two terms are related to nonlinear neural activations. Next we show that the energy function is decreasing.