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Results tagged with linear-algebra
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user 12134
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Why $ \langle \mathcal{R}_{\Omega}\,X\,,\mathcal{R}_{\Omega}\,X\rangle \ge \langle X\,,\math...
Let $\{w_{a}\}_{a=1}^{n^2}$ be an orthonormal basis for a matrix. Assume we pick $m$ elements of this basis uniformly at random. $\Omega$ denotes the set of randomly chosen basis. With that, in matrix …
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Why $ \langle \mathcal{R}_{\Omega}\,X\,,\mathcal{R}_{\Omega}\,X\rangle \ge \langle X\,,\math...
Since I figured this out, I thought I will share it in case somebody runs into the same thing. For an orthonormal basis, this turns out to be actually easy. For general operator basis, things are deli …
- 221
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psd condition for matrix completion
The nuclear norm minimization for the matrix completion problem is given by
\begin{align}
\textrm{minimize } \quad &\|X\|_{*}\\
\textrm{subject to } \quad & X_{ij}=M_{ij} \quad \forall (i,j)\in \Om …
- 221