Nonlinear effects for the reinforcement of small neural ensembles in high dimensional brain: Comment on "The unreasonable effectiveness of small neural ensembles in high-dimensional brain" by A.N. Gorban, V.A. Makarov, I.Y. Tyukin.

Physics of life requires innovative methods and a global system point of view to establish new strategies to develop appropriate mathematical models for living systems and in particular for brain studies. This principle has been widely expressed since 1944 by Erwin Schrödinger, in his book What is Life? [1]. Some key points outlined by Erwin Schrödinger prelude the DNA discover by Crick and Watson. The considerations that arise reading and studying the communication on “The unreasonable effectiveness of small neural ensembles in high dimensional brain”, leads to consider more items that have been the core of a wide discussion in the topic of neuroscience modeling proposed in the last 25 years. Indeed the pioneering studies of Norbert Wiener [2] were aimed at establishing a significant address to the study of brain also taking into account the incoming principles of the information science and of the statistic thermodynamics, thanks to the Williams Gibbs principles [3]. The paper “The unreasonable effectiveness of small neural ensembles in high dimensional brain”, strongly and timely remarks some important points regarding a new view of approaching the complexity of the brain signals and modeling taking into account the stochastic separation principles [4] inspiring the study to the approach of simultaneous separation of several uncorrelated information. This allows to get suitable neuronal ensemble in order to improve the possibility for an appropriate and rigorous investigation method of the brain functions. In this comment, even if the following items are not related to statistics and to the methods of the discussed paper, they are strictly correlated to the efforts that the authors remark in order to make the study of the brain more accessible