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.

0503896 - ÚI 2020 RIV NL eng J - Článek v odborném periodiku
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. Roč. 29, July 2019 (2019), s. 98-100. ISSN 1571-0645. E-ISSN 1873-1457
Grant CEP: GA ČR(CZ) GA18-23827S
Institucionální podpora: RVO:67985807
Klíčová slova: neural networks * high-dimensional geometry * concentration of measure * commentary
Obor OECD: Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Impakt faktor: 14.789, rok: 2019
Způsob publikování: Omezený přístup

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? '.
Trvalý link: http://hdl.handle.net/11104/0295662