Symphony of high-dimensional brain

06/27/2019 ∙ by Alexander N. Gorban, et al. ∙ University of Leicester Universidad Complutense de Madrid 0

This paper is the final part of the scientific discussion organised by the Journal "Physics of Life Rviews" about the simplicity revolution in neuroscience and AI. This discussion was initiated by the review paper "The unreasonable effectiveness of small neural ensembles in high-dimensional brain". Phys Life Rev 2019, doi 10.1016/j.plrev.2018.09.005, arXiv:1809.07656. The topics of the discussion varied from the necessity to take into account the difference between the theoretical random distributions and "extremely non-random" real distributions and revise the common machine learning theory, to different forms of the curse of dimensionality and high-dimensional pitfalls in neuroscience. V. Kůrková, A. Tozzi and J.F. Peters, R. Quian Quiroga, P. Varona, R. Barrio, G. Kreiman, L. Fortuna, C. van Leeuwen, R. Quian Quiroga, and V. Kreinovich, A.N. Gorban, V.A. Makarov, and I.Y. Tyukin participated in the discussion. In this paper we analyse the symphony of opinions and the possible outcomes of the simplicity revolution for machine learning and neuroscience.

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Acknowledgments

The work was supported by the Ministry of Science and Higher Education of the Russian Federation (Project No. 14.Y26.31.0022). Work of ANG and IVT was also supported by Innovate UK (Knowledge Transfer Partnership grants KTP009890; KTP010522) and University of Leicester. VAM acknowledges support from the Spanish Ministry of Economy, Industry, and Competitiveness (grant FIS2017-82900-P).

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