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How to decode P bits that represent a random weight generator?

I don't understand why they say with $P$ bits, there's $2*P$ combinations, wouldn't it be $2^P$? I think you are correct here, and would suspect a typesetting issue or typo. I also think that 2Q ...
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Rank of gradient-of-loss with respect to layer weights in an MLP

I didn't find the reference in the Goodfellow deep learning book. But here is how I derived it. Let all vectors be column vectors. The basic claim is that $\nabla_W F(u^\top W) = \nabla F(v^\top) u^\...
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