Problem#1 The following neural network is described in the class notes. x₁ -0.1 O x₂ = 0.2 Activation Function 1. Sigmoid 2. Linear 3. Tanh 4. ReLu W₁ -0.15 a₁ 0.588 ? ? ? W₂ = 0.05 b₁ = 0.33 %1 a₂ = f(z₁) = A₂ = = f(Z₂) Z₁ = (x₁W₁) + (x₂ =W₂) + b₂ Z₁ (0.10.15) + (0.2-0.05) + 0.33 Z₂ = (a₂ Z₂ = (0.588 az 0.684 ? ? ? a₁ Z₁ = 0.355 1 1+ e-(0.355) W₂) + b₂ 0.36) +0.56 W₂0.36 0.772= ܕܐ 1 1+ e-(0.772) b₂-0.56 = 0.588 = 0.684 %2 For the neural network described above, compute the value of the outputs (a, and a₂) if we change the sigmoid activation to the following 3 functions. Write TensorFlow code to compute your answer. Activation Function 1 a₁ 1+e-²₁ 1 1+e-²₂ a₂ =
Problem#1 The following neural network is described in the class notes. x₁ -0.1 O x₂ = 0.2 Activation Function 1. Sigmoid 2. Linear 3. Tanh 4. ReLu W₁ -0.15 a₁ 0.588 ? ? ? W₂ = 0.05 b₁ = 0.33 %1 a₂ = f(z₁) = A₂ = = f(Z₂) Z₁ = (x₁W₁) + (x₂ =W₂) + b₂ Z₁ (0.10.15) + (0.2-0.05) + 0.33 Z₂ = (a₂ Z₂ = (0.588 az 0.684 ? ? ? a₁ Z₁ = 0.355 1 1+ e-(0.355) W₂) + b₂ 0.36) +0.56 W₂0.36 0.772= ܕܐ 1 1+ e-(0.772) b₂-0.56 = 0.588 = 0.684 %2 For the neural network described above, compute the value of the outputs (a, and a₂) if we change the sigmoid activation to the following 3 functions. Write TensorFlow code to compute your answer. Activation Function 1 a₁ 1+e-²₁ 1 1+e-²₂ a₂ =
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Transcribed Image Text:Problem#1
The following neural network is described in the class notes.
₁0.1
O
x₂ = 0.2
Activation a₁
Function
1. Sigmoid
2. Linear
3. Tanh
4. ReLu
W1 0.15
0.588
?
?
?
-
W₂ = 0.05
b₁ = 0.33
a₁ = f(²₁) =
%1
a₂ = f(Z₂)
Z₁ = (x₁ W₁) + (x₂ * W₂) + b₂
Z₁ (0.1 0.15) + (0.2 0.05) + 0.33
*
Z₁ = 0.355
1
Z₂ = (a₂
Z₂ = (0.588
az
0.684
?
?
?
a₁
1+ e-(0.355)
M
W₂0.36
Z₂ = 0.772
1
1+ e-(0.772)
= 0.588
W₂) + b₂
0.36) + 0.56
b₂ - 0.56
0.684
1
az
For the neural network described above, compute the value of the outputs (a, and a₂) if we change the
sigmoid activation to the following 3 functions. Write TensorFlow code to compute your answer.
Activation Function
1
a₁ =
1+e-²₁
1
1+e-²₂
02
=
Transcribed Image Text:Answer:
Activation
Function
1. Sigmoid
2. Linear
3. Tanh
4. ReLu
a1
0.588
0.355
0.341
0.355
az
0.684
0.688
0.593
0.688
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