RT Journal Article
T1 High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality
A1 Gorban, Alexander N.
A1 Makarov Slizneva, Valeriy
A1 Tyukin, Ivan Y.
AB 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.
PB MDPI
SN 1099-4300
YR 2020
FD 2020-01-09
LK https://hdl.handle.net/20.500.14352/7496
UL https://hdl.handle.net/20.500.14352/7496
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministry of Science and Higher Education of the Russian Federation
NO Innovate UK
NO University of Leicester
DS Docta Complutense
RD 7 abr 2025