Dropping these graphs for better visualization:
Symmetric Sigmoid Function:
(by @kbambridge)
Symmetric Sigmoid vs Linear:
u = 0.1, l = -0.1, g = 3
u = 0.11, l = -0.11, g = 4
Symmetric Sigmoid vs Sigmoid Curve:
u = 0.1, l = -0.1, g = 3
u = 0.11, l = -0.11, g = 4
If you want to experiment around with the parameters, you can do it here by using the slide bars:
(Desktop recommended)
I’m still thinking about the implications of the symmetric properties, will comment later again.