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Yes, of course, this has long been a widely held assumption. That's why we call it the "manifold hypothesis." As far as I know, no one has been able to show --
by cs702 8y ago
Yes, of course, this has long been a widely held assumption. That's why we call it the "manifold hypothesis."
As far as I know, no one has been able to show -- with mathematical rigor -- that this is why deep learning works so well on so many challenging perceptual ("cognitive") tasks.
That seems significant to me.
- byt143 8y agoIs this dual in any way to the information bottleneck hypothesis?
- improbable22 8y agoBut have they actually shown any such thing? There are some ambitious words, then some very elementary definitions, and some "theorems"... and then it ends?