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Results tagged with linear-algebra
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user 25533
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
12
votes
2
answers
757
views
When Do a Few Eigenvectors of Graph Laplacians Not Determine the Graph?
Essentially as the title, but I'll give a little bit more background.
I have some finite graph $G$ with $n$ vertices and adjacency matrix $A$. Let $D$ be the $n$ by $n$ matrix with the degree of vert …
- 193
7
votes
0
answers
348
views
An $L^{\infty}$ version of principal component analysis?
I have a $k$ by $n$ matrix $A$, with $k \ll n$. In case it helps, the $k$ rows are orthonormal.
I'm interested in finding a $k$ by $k$ orthogonal matrix $M$ so as to maximize the $L^{\infty}$ norms o …
- 193