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High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality by Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y. is a Physics and Astronomy article available to read on EtoBox.

What is High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality about?

High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the “curse of dimensionality” states: many problems become exponentially difficult in high dimensions. Recently, the other side of the coin, the “blessing of dimensionality”, has attracted much attention. It turns out that generic high-dimensional datasets exhibit fairly simple geometric properties. Thus, there is a fundamental tradeoff between complexity and simplicity in high dimensional spaces. Here we present a brief explanatory review of recent ideas, results and hypotheses about the blessing of dimensionality and related simplifying effects relevant to machine learning and neuroscience.

Who reads High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality?

Author

Gorban, Alexander N.; Makarov, Valery A.; Tyukin, Ivan Y.

Publisher

Molecular Diversity Preservation International; MDPI AG; Multidisciplinary Digital Publishing Institute (MDPI); Basel: MDPI, 1999- (ISSN 1099-4300)

Published

2020

Language

EN

Field

Physics and Astronomy (Physical Sciences)