High-Dimensional Data Analysis: The Curses and Blessings of Dimensionality¶
Donoho, D. L. (2000). High-Dimensional Data Analysis: The Curses and Blessings of Dimensionality: The Curses and Blessings of Dimensionality. AMS Conference on Math Challenges of the 21st Century.
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Primes¶
- Curse Of Dimensionality
- The transfer's main subtlety is distinguishing the curse from its dual, the "blessing of dimensionality" — concentration of measure, Johnson-Lindenstrauss embeddings, double descent — in which high dimension creates new regularities exploitable by the right methods.
This sourceFrames both the curse and the complementary "blessing of dimensionality" — concentration of measure and exploitable high-dimensional regularities.
- The transfer's main subtlety is distinguishing the curse from its dual, the "blessing of dimensionality" — concentration of measure, Johnson-Lindenstrauss embeddings, double descent — in which high dimension creates new regularities exploitable by the right methods.
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