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Results tagged with linear-algebra
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user 156792
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
7
votes
1
answer
307
views
Fundamental domain for two Grassmannians
Let $\pi_1, \pi_2$ be two $k$-dimensional subspaces of $\mathbb R^n$. Using elements of the orthogonal group $O(n)$, how much can we simplify $\pi_1, \pi_2$? Certainly there always exists $A \in O(n)$ …
- 903
3
votes
1
answer
801
views
Concentration inequality for the sample covariance matrix
I'd like to know if there is a concentration inequality for the sample covariance matrix that don't assume the knowledge of the true mean.
Background.
Given a probability distribution $\mu$ on $\math …
- 903
3
votes
Accepted
Concentration inequality for the sample covariance matrix
A variant of this (taking $\frac1m$ instead of $\frac1{m-1}$ for the empirical covariance) is answered on Proposition 2.6, page 10 of https://arxiv.org/pdf/2110.06357.pdf .
- 903