2 research outputs found
High--Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality
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.Comment: 18 pages, 5 figure