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Statistics of spectral properties of matrix-valued random variables.

0 votes
0 answers
64 views

Probability of collision of sums of vectors

Let $S_1$ and $S_2$ be sets of vectors from $\mathbb{R}^d$ that are distinct and let $\sigma(\cdot)$ be a non-linearity, e.g., a componentwise sigmoid function. Does there exist a random matrix $R \i …
Christopher's user avatar
1 vote
1 answer
90 views

Probability of collision of sums of vectors multiplied by random matrix

Let $S$ and $T$ be sets of vectors from $\mathbb{R}^d$ such that $S$ and $T$ are at least different in one element. Does there exist a random matrix $M \in \mathbb{R}^{d \times k}$, e.g., a gaussian …
Christopher's user avatar