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Stochastic Upper Bound of the Spectral Norm 132
The spectral norm can be calculated as (we will leave step (a) as an exercise)
Hence, its spectral norm satisfies
Here, we have used the unitary invariance of the spectral norm and (C.4).
Since the spectral norm of a matrix would have to be approximated as an eigenvalue problem itself (§C.8), which is costly and would be a circular reasoning here, we replace it with the Frobenius norm and use the following bound instead (§C.9)
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