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Old 03-08-2013, 07:26 PM
boulis boulis is offline
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Default Q1: clarification on the meaning of polynomial transform of order Q

Just making sure:
A non linear transform that is polynomial of order Q looks like this:
Q=1 (1, x_1, x_2)
Q=2 (1, x_1, x_2, x_1x_2, x^2_1, x^2_2)
Q=3 (1, x_1, x_2, x_1x_2, x^2_1, x^2_2, x^2_1x_2, x_1x_2^2, x_1^3, x_2^3)
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Old 03-08-2013, 07:29 PM
palmipede palmipede is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

Maybe this is the same question?

Is the answer to question 1 supposed to be exact or approximate?

Thank you for your help!
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Old 03-08-2013, 08:20 PM
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yaser yaser is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

Quote:
Originally Posted by boulis View Post
Just making sure:
A non linear transform that is polynomial of order Q looks like this:
Q=1 (1, x_1, x_2)
Q=2 (1, x_1, x_2, x_1x_2, x^2_1, x^2_2)
Q=3 (1, x_1, x_2, x_1x_2, x^2_1, x^2_2, x^2_1x_2, x_1x_2^2, x_1^3, x_2^3)
Correct.

Remember that the problem states that the constant (zeroth) coordinate in not counted in the dimensionality.
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Old 03-08-2013, 08:21 PM
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yaser yaser is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

Quote:
Originally Posted by palmipede View Post
Is the answer to question 1 supposed to be exact or approximate?
Exact.
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Old 03-08-2013, 09:10 PM
gah44 gah44 is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

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Originally Posted by yaser View Post
Exact.
So many "nearest" answers that we forget after a while what "exact" means.
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Old 03-08-2013, 09:22 PM
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yaser yaser is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

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Originally Posted by gah44 View Post
So many "nearest" answers that we forget after a while what "exact" means.
Exactly.
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Old 03-08-2013, 10:42 PM
Suhas Patil Suhas Patil is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

I really want to be careful. Because I've seen in the past exercises, that a small bug in the program or a little misinterpretation takes you in a different direction.
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Old 03-08-2013, 11:51 PM
boulis boulis is offline
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Default Re: Q1: clarification on the meaning of polynomial transform of order Q

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Originally Posted by yaser View Post
Remember that the problem states that the constant (zeroth) coordinate in not counted in the dimensionality.
Yes, I know. I deliberately left it in, for completion reasons, and maybe to see if I get a comment like this
I am afraid I might have missed something and have the wrong answer. Although I am not trying to train on the comments
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