he has, but he clearly has a broad conception of 'digital'
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Replying to @jancorazza @oliverbeige
You can blur the boundary between them. The underlying mathematical reason is that the real unit interval (analogue) is homeomorphic to the Cantor space 2^omega (digital). Which is to say, a real number is essentially the same thing as an infinite bitstream
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Replying to @_julesh_ @oliverbeige
I don't see how that's the underlying reason... I don't think there is a reason, computation deals with numbers that are computable doesn't it, not the unit interval. and I don't think that's really what
@NegarestaniReza is referring to--although I don't know what is1 reply 0 retweets 1 like -
One of the main research directions is models of computation extended with (true) real numbers - motivated exactly because it might be a better model of real life computing than Turing machines are
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I didn't know that, very interesting!
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Neural networks are probably the most obvious example. You can (and must) discretise them to run them on a CPU, but that's just an implementation detail - they're ""really"" analogue computation. An implementation as analogue circuits would be impractical, but more "faithful"
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Replying to @_julesh_ @jancorazza and
I remember this blog post on "Why are eight bits enough for deep neural networks?" (https://petewarden.com/2015/05/23/why-are-eight-bits-enough-for-deep-neural-networks/ …), and more recent this "Ultra-low precision training" https://www.ibm.com/blogs/research/2019/05/ultra-low-precision-training/ … which seem to say that neural nets really are digital computation.
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Replying to @AlexisToumi @_julesh_ and
Neurons aren't digital. Annealing isn't digital. Radar isn't digital. We need to be careful not to get the simulation confused with the original. That was the key insight of 1986.
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Replying to @oliverbeige @AlexisToumi and
You seem to use the word digital in a simplistic way like how artists use it. The digital is a logic, numeric-based system with terminating computational functions. All such machines if you call them computers should be isomorphic to the logic of a regular-rule-bound system.
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Replying to @NegarestaniReza @oliverbeige and
I'm an artist from Texas. I use it to count to 12. I can count to 24 if I take my shoes off.
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You are def. more advanced than me. I can't even count to two.
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