blessing-of-dimensionality-donoho-2000
IN premise — summaries/2026/08/24/wiki-Curse_of_dimensionality-chunk-3.md
Created 2026-08-24T17:11:09+00:00
Donoho (2000) formally proposed the 'blessing of dimensionality,' arguing that high dimensionality can simplify certain tasks (e.g., linear separability of a random point from an exponentially large random set with high probability), making it a counter-intuitive counterpoint to the curse.
Summary
Contrary to the usual assumption that adding more dimensions always makes a problem harder, Donoho showed that in certain cases, like separating one target from a massive crowd of others, the extra dimensions actually make the task easier. This matters because it reframes high-dimensional data from a purely negative complication into a potential advantage the system can exploit rather than just struggle against.