Timeline for Why is tanh a "smoothly" differentiable function?
Current License: CC BY-SA 4.0
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| Nov 7, 2021 at 0:06 | vote | accept | hanugm | ||
| Jul 8, 2021 at 13:38 | answer | added | htl | timeline score: 4 | |
| Jul 8, 2021 at 10:54 | history | edited | hanugm | CC BY-SA 4.0 |
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| Jul 8, 2021 at 10:51 | comment | added | nbro | In math, as far as I know, "smooth" often refers to the fact that the function can be differentiated multiple times. See this. To be honest, I never really thought about the properties of the hyperbolic tangent, so I don't know if the author of that excerpt is referring to something else. | |
| Jul 8, 2021 at 10:45 | history | edited | nbro | CC BY-SA 4.0 |
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| Jul 8, 2021 at 9:30 | comment | added | Recessive | That sounds like a pretty subjective description. I would argue sigmoid is also smoothly differentiable because the gradient function is predictable and symmetric. It could maybe be referring to how the tanh derivative exists in one of 3 states: Essentially stationary, linear, or a transition between the two. | |
| Jul 7, 2021 at 22:43 | history | edited | hanugm | CC BY-SA 4.0 |
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| Jul 7, 2021 at 22:32 | history | asked | hanugm | CC BY-SA 4.0 |