I am hoping to find a function that corresponds to an s-shaped curve that satisfies the following properties: 1. unbounded 2. it is not symmetric about its inflection point 3. its derivative at the inflection point is not infinity 4. it is monotonic
Unfortunately, none of the many sigmoid functions listed below satisfy the first two of my requirements
https://en.wikipedia.org/wiki/Activation_function
I would be very grateful for any suggestions. Thank you in advance!