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Not an informed/sota practitioner, but isn't this just a standard property of high dimensional spaces?

https://en.wikipedia.org/wiki/Random_projection

> The core idea behind random projection is given in the Johnson-Lindenstrauss lemma, which states that if points in a vector space are of sufficiently high dimension, then they may be projected into a suitable lower-dimensional space in a way which approximately preserves the distances between the points.



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