Function set

Note

Automatically extracted from sources on Tue Jan 3 17:03:26 CET 2023 for version 0.1b

Identity

../_images/id.svg
\[x\]

id

../_images/functions-11.png

Absolute value

../_images/abs.svg
\[|x|\]

abs

../_images/functions-21.png

Sinusoidal

../_images/sin.svg
\[sin(2x)\]

sin

../_images/functions-31.png

Step function

../_images/step.svg
\[\begin{split}0 &\ \text{if } x \leq 0\\1 &\ \text{otherwise}\end{split}\]

step

../_images/functions-41.png

Gaussian function

../_images/gaus.svg
\[e^{-6.25x^2}\]

gaus

../_images/functions-51.png

Soft sigmoid

../_images/ssgm.svg
\[\frac{1}{1+e^{-4.9x}}\]

ssgm

../_images/functions-61.png

Bimodal sigmoid

../_images/bsgm.svg
\[\frac{2}{1+e^{-4.9x}} - 1\]

bsgm

../_images/functions-71.png

Activation function

../_images/ssgn.svg
\[\begin{split}e^{-(x+1)^2} - 1 &\ \text{if } x \lt -1 \\1 - e^{-(x-1)^2} &\ \text{if } x \gt 1 \\0 &\ \text{otherwise}\end{split}\]

ssgn

../_images/functions-81.png