Two layers neural networks consist of 3 input neurons and one output neuron. The input vector is (x1, x2, x3) where x3 is always =1.0. x1, x2 and the desired output d are given by the table below. When using the initial weight vector w = (1.0, 1.0, -3.0) there was an error as shown in the figure. The equation for the decision boundary was: x1*1 + x2*1 - 1*3=0. , (i.e. net = x1*w1+x2*w2+x3*w3), f(net) is the sign of net What are the new values of the vector w after the first input (1,1,1), note that input x3 is always 1.0? What are the new values of the vector w after the second input (9.4, 6.4, 1.0)? Suggest a vector w such that the total error is ZERO for the 10 points.
Two layers neural networks consist of 3 input neurons and one output neuron. The input vector is (x1, x2, x3) where x3 is always =1.0. x1, x2 and the desired output d are given by the table below. When using the initial weight vector w = (1.0, 1.0, -3.0) there was an error as shown in the figure. The equation for the decision boundary was: x1*1 + x2*1 - 1*3=0. , (i.e. net = x1*w1+x2*w2+x3*w3), f(net) is the sign of net What are the new values of the vector w after the first input (1,1,1), note that input x3 is always 1.0? What are the new values of the vector w after the second input (9.4, 6.4, 1.0)? Suggest a vector w such that the total error is ZERO for the 10 points.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Two layers neural networks consist of 3 input neurons and one output neuron. The input
x1, x2 and the desired output d are given by the table below.
When using the initial weight vector w = (1.0, 1.0, -3.0) there was an error as shown in the figure. The equation for the decision boundary was: x1*1 + x2*1 - 1*3=0.
, (i.e. net = x1*w1+x2*w2+x3*w3), f(net) is the sign of net
- What are the new values of the vector w after the first input (1,1,1), note that input x3 is always 1.0?
- What are the new values of the vector w after the second input (9.4, 6.4, 1.0)?
- Suggest a vector w such that the total error is ZERO for the 10 points.
![Two layers neural networks consist of 3 input neurons and one output neuron. The input vector is
(x1, x2, x3) where x3 is always =1.0.
x1, x2 and the desired output d are given by the table below.
When using the initial weight vector w = (1.0, 1.0, -3.0) there was an error as shown in the
figure. The equation for the decision boundary was: x1*1 + x2*1 - 1*3=0.
net = Σx; w₁, (i.e. net = x1*wl+x2*w2+x3*w3), f(net) is the sign of net
W = W.1+ c(dt-1-sign (wt.1.xt.1)) xt.1
Use:
What are the new values of the vector w after the first input (1,1,1), note that input x3 is
always 1.0?
What are the new values of the vector w after the second input (9.4, 6.4, 1.0)?
Suggest a vector w such that the total error is ZERO for the 10 points.
X₁
1.0
9.4
2.5
8.0
0.5
7.9
7.0
2.8
1.2
7.8
x2
1.0
6.4
2.1
7.7
2.2
8.4
7.0
0.8
3.0
6.1
Output
1
-1
1
-1
1
-1
-1
1
1
-1
10.0
32 5.0-
where c is the traing factor c=0.2
0.0-
0.0
P
A
f(net)=0
5.0
10.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf1ee77e-0d36-4603-8776-d42d4f306268%2F8b1b0bfa-b033-4c64-ab65-f84024c653d9%2Ft5h6mjk_processed.png&w=3840&q=75)
Transcribed Image Text:Two layers neural networks consist of 3 input neurons and one output neuron. The input vector is
(x1, x2, x3) where x3 is always =1.0.
x1, x2 and the desired output d are given by the table below.
When using the initial weight vector w = (1.0, 1.0, -3.0) there was an error as shown in the
figure. The equation for the decision boundary was: x1*1 + x2*1 - 1*3=0.
net = Σx; w₁, (i.e. net = x1*wl+x2*w2+x3*w3), f(net) is the sign of net
W = W.1+ c(dt-1-sign (wt.1.xt.1)) xt.1
Use:
What are the new values of the vector w after the first input (1,1,1), note that input x3 is
always 1.0?
What are the new values of the vector w after the second input (9.4, 6.4, 1.0)?
Suggest a vector w such that the total error is ZERO for the 10 points.
X₁
1.0
9.4
2.5
8.0
0.5
7.9
7.0
2.8
1.2
7.8
x2
1.0
6.4
2.1
7.7
2.2
8.4
7.0
0.8
3.0
6.1
Output
1
-1
1
-1
1
-1
-1
1
1
-1
10.0
32 5.0-
where c is the traing factor c=0.2
0.0-
0.0
P
A
f(net)=0
5.0
10.0
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
![C How to Program (8th Edition)](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
![Database Systems: Design, Implementation, & Manag…](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education