I posted this question before. But I was given the same explanations as I knew about the question, and this did not satisfy me at all. Could you please fill in the tables appropriately and show their mathematical operations?
Considering the diagram below:
x
Z1
g
a1
W1
b1
a-) Prove that the forward propagation and back propagation (derivatives) equations are as given in Table-1.when the cost function is MSE and the activation function is g(.)
c-) In the case where the cost function is MSE and the activation function is sigmoid, find the forward propagation and back propagation (derivatives) equations and show them in Table-3.
3
(Forward Propagation)
(Back Propagation)
Forward Propagation z=W.x+b
(Back Propagation) OL da a-y da aL dz, da.gz dz, 7e dw, =dz.x
Z1=
a=
aL dz, dz
a=gz
dw, dw db,
y=a1
-y
aL db dz.1 2b
b-) In the case where the cost function is MSE and
d- In the case where the cost function is BCE and the activation function is sigmoid, find the forward propagation and back propagation (derivatives) equations and show them in Table-4.
the activation function is Linear,find the forward
propagation and back propagation (derivatives) equations and show them in Table-2.
(Forward Propagation)
Back Propagation
(Forward Propagation)
(Back Propagation) da=a OL
Z1 =
da= da
Z1=
a=
dz= 0z
a1=
y =
Te dw, ow db, 9h.
dw,
dw
=7
db,