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braised_babbage
searching PlanetScale…
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by
braised_babbage
4y ago
There are many evaluation strategies for tensor contractions; naively translating into nested for loops and then doing direct random-access arithmetic is just one approach. If you like numpy's einsum, a drop in replacement is https:&#
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by
braised_babbage
7y ago
So in this metaphor, the "Extended Church-Turing Hypothesis" is the belief that there is no haybale?
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Factoring may be easier than we think (2016)
(math.mit.edu)
175 points
by
braised_babbage
7y ago
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169 comments
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by
braised_babbage
7y ago
This is, strictly speaking, not true. Talking about an "orthonormal" basis implies that you have in mind some Hilbert space; but in any such instance there will be interesting functions that are not in this Hilbert space. So consi
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braised_babbage
7y ago
One of the things about continuous functions is that they aren't necessarily differentiable, cf. https://en.wikipedia.org/wiki/Weierstrass_function
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by
braised_babbage
7y ago
No, neural networks cannot "represent any arbitrary function". Find a theorem that you think states otherwise, and then read what the theorem actually states.