Find support vectors in polynomial kernel of degree 2
Suppose we have 5 points in 1D feature space as follows:
x1=1, x2=2, x3=4, x4=5, x5=6, with 1, 2, 6 as class 1 and 4, 5 as class 2
Use a polynomial kernel of degree 2 as K(x,z) = (xz+1)^2
to find:
enter image description here
To do that, follow these steps:
1) Find αi (i=1, ..., 5) by
enter image description here
2) Find support vectors
3) Find the discriminant function f(z)
4) Find the bias b
5) Plot the discriminate function, 5 points and the regions for the classes
Note that
enter image description here
kernel svm libsvm pattern-recognition
asked Dec 31 '18 at 14:56
samsam
14
add a comment |
Suppose we have 5 points in 1D feature space as follows:
x1=1, x2=2, x3=4, x4=5, x5=6, with 1, 2, 6 as class 1 and 4, 5 as class 2
Use a polynomial kernel of degree 2 as K(x,z) = (xz+1)^2
to find:
enter image description here
To do that, follow these steps:
1) Find αi (i=1, ..., 5) by
enter image description here
2) Find support vectors
3) Find the discriminant function f(z)
4) Find the bias b
5) Plot the discriminate function, 5 points and the regions for the classes
Note that
enter image description here
kernel svm libsvm pattern-recognition
asked Dec 31 '18 at 14:56
samsam
14
add a comment |
Suppose we have 5 points in 1D feature space as follows:
x1=1, x2=2, x3=4, x4=5, x5=6, with 1, 2, 6 as class 1 and 4, 5 as class 2
Use a polynomial kernel of degree 2 as K(x,z) = (xz+1)^2
to find:
enter image description here
To do that, follow these steps:
1) Find αi (i=1, ..., 5) by
enter image description here
2) Find support vectors
3) Find the discriminant function f(z)
4) Find the bias b
5) Plot the discriminate function, 5 points and the regions for the classes
Note that
enter image description here
kernel svm libsvm pattern-recognition
asked Dec 31 '18 at 14:56
samsam
14
Suppose we have 5 points in 1D feature space as follows:
x1=1, x2=2, x3=4, x4=5, x5=6, with 1, 2, 6 as class 1 and 4, 5 as class 2
Use a polynomial kernel of degree 2 as K(x,z) = (xz+1)^2
to find:
enter image description here
To do that, follow these steps:
1) Find αi (i=1, ..., 5) by
enter image description here
2) Find support vectors
3) Find the discriminant function f(z)
4) Find the bias b
5) Plot the discriminate function, 5 points and the regions for the classes
Note that
enter image description here
kernel svm libsvm pattern-recognition
kernel svm libsvm pattern-recognition
asked Dec 31 '18 at 14:56
samsam
14
asked Dec 31 '18 at 14:56
samsam
14
asked Dec 31 '18 at 14:56
samsam
14
asked Dec 31 '18 at 14:56
samsam
14
asked Dec 31 '18 at 14:56
samsam
14
14
add a comment |
add a comment |
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