
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![According to the Neural Network structure shown in the following figure, and assume
that:
1. All weights are set as: 0.5
0.2*x, x < 0
2. Activation function is LeakyReLU: f(x) = {0.2 *
n
-
x, x ≥0
3. Loss function is defined as: L = ½-½ 11(y; — ŷ;)², where y; is the ground truth and ŷi
is the output of the Neural Network.
W₁₁
(Σ
(Σ
x1
Σ
Σ
Σ
ŷ
(Σ
(Σ)
Given a dataset D = {(x1,y1), (x2, y2), (X3, Y3), (x4, Y4)}, and
• x₁ = (1,3), y₁ = 5
• x2 = (-1,2), y₂ = 3
• x3 = (2,6), y3 = 7
•
x4 = (4,2), y = 2
Q1: [15%] [Forward Propagation] calculate the corresponding output ŷ1, ŷ2, Ŷ3, ŷ4
JL
Q2: [20%] [Backward Propagation] calculate the loss function and gradient: (red
weight in the structure)
aw 1](https://content.bartleby.com/qna-images/question/9287e908-7d71-4130-a3a7-c569e28ecc52/cae5481f-3d1d-4208-8363-d19f6b0091ad/fe8xwf_thumbnail.png)
Transcribed Image Text:According to the Neural Network structure shown in the following figure, and assume
that:
1. All weights are set as: 0.5
0.2*x, x < 0
2. Activation function is LeakyReLU: f(x) = {0.2 *
n
-
x, x ≥0
3. Loss function is defined as: L = ½-½ 11(y; — ŷ;)², where y; is the ground truth and ŷi
is the output of the Neural Network.
W₁₁
(Σ
(Σ
x1
Σ
Σ
Σ
ŷ
(Σ
(Σ)
Given a dataset D = {(x1,y1), (x2, y2), (X3, Y3), (x4, Y4)}, and
• x₁ = (1,3), y₁ = 5
• x2 = (-1,2), y₂ = 3
• x3 = (2,6), y3 = 7
•
x4 = (4,2), y = 2
Q1: [15%] [Forward Propagation] calculate the corresponding output ŷ1, ŷ2, Ŷ3, ŷ4
JL
Q2: [20%] [Backward Propagation] calculate the loss function and gradient: (red
weight in the structure)
aw 1
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