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Gorban, Alexander N. and Makarov, Valeri A. and Tyukin, Ivan Y. (2020) High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality. Entropy, 22 (1). p. 82. ISSN 1099-4300
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Official URL: https://doi.org/10.3390/e22010082
Abstract
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.
Item Type: | Article |
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Uncontrolled Keywords: | Artificial intelligence, Mistake correction, Concentration of measure, Discriminant, Data mining; geometry |
Subjects: | Sciences > Computer science > Artificial intelligence Sciences > Mathematics > Cybernetics Sciences > Mathematics > Geometry Sciences > Mathematics > Operations research |
ID Code: | 63012 |
Deposited On: | 10 Nov 2020 18:21 |
Last Modified: | 11 Nov 2020 09:14 |
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