Some insights from high-dimensional spheres: Comment on 'The unreasonable effectiveness of small neural ensembles in high-dimensional brain' by Alexander N. Gorban et al.

Autoři: RNDr. Věra Kůrková, DSc.
Rok vydání: 2019
Typ publikace: Článek v odborném periodiku
Periodikum: Physics of Life Reviews
Projekty: Schopnosti a omezení mělkých a hlubokých sítí
Bibliografická citace: KŮRKOVÁ, Věra. Some insights from high-dimensional spheres: Comment on 'The unreasonable effectiveness of small neural ensembles in high-dimensional brain' by Alexander N. Gorban et al. Physics of Life Reviews. 2019, 29(July 2019), 98-100. ISSN 1571-0645. E-ISSN 1873-1457
Dostupné z: doi:10.1016/j.plrev.2019.03.014
DOI: 10.1016/j.plrev.2019.03.014
ID: 503896

Abstrakt

SOURCE: Physics of Life Reviews. Roč. 29, July 2019 (2019), s. 98-100. ISSN 1571-0645. ABSTRACT: The title of this article by Gorban et al. refers to Wigner's famous lecture, 'The unreasonable effectiveness of mathematics in the natural sciences ', delivered 60 years ago in 1959. In the lecture, Wigner emphasized the crucial role of mathematics in developing consistent theories in physics. Similarly, Gorban et al. focus on the role of mathematics in understanding nature, namely the functioning and structure of brains. They utilize mathematics of high-dimensional spaces to explain 'how can high-dimensional brain organize reliable and fast learning in high-dimensional world of data by simple tools? '.