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Description: The Curses and Blessings of Dimensionality- Dohono.
The blessings of dimensionality are less widely noted, but they include the concentration
of measure phenomenon (so-called in the geometry of Banach spaces), which
means that certain random fluctuations are very well controlled in high dimensions and
the success of asymptotic methods, used widely in mathematical statistics and statistical
physics, which suggest that statements about very high-dimensional settings may
be made where moderate dimensions would be too complicated.
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