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.-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.