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Results tagged with mg.metric-geometry
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user 5963
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
5
votes
0
answers
144
views
Ellipsoid collapse clashes with Johnson-Lindenstrauss intuition
The Johnson-Lindenstrauss lemma states that by randomly projecting a set of $p$ points in $\mathbb{R}^n$ into $\mathbb{R}^k$ with $k$ at least some multiple of $\log p$, distances are approximately pr …
- 8,501
3
votes
Accepted
Moment matching on the standard simplex
It is a standard result that the matrices of the form $\mu^{\otimes 2}$ for nonzero $\mu$ are the extreme rays of the positive semidefinite cone. That is to say, your condition on the second moments …
- 8,501