Question Number 203898 by necx122 last updated on 01/Feb/24
$${Let}\:{f}\left({w}\right)\:{be}\:{a}\:{function}\:{of}\:{vector}\:{W}\:\in\: {R}^{{N}} , \\ $$$${i}.{e}.\:{f}\left({w}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}\:+\:{e}^{−{W}^{{T}} {x}} } \\ $$$${Determine}\:{the}\:{first}\:{derivative}\:{and} \\ $$$${matrix}\:{of}\:{second}\:{derivatives}\:{of}\:{f}\:{with} \\ $$$${respect}\:{to}\:{W} \\ $$$$ \\ $$
Commented by necx122 last updated on 01/Feb/24
This looks like an AI activation function (sigmoid) but I just don't seem to navigate my way through it properly.