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-   -   Q1: clarification on the meaning of polynomial transform of order Q (http://book.caltech.edu/bookforum/showthread.php?t=4087)

boulis 03-08-2013 06:26 PM

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)

palmipede 03-08-2013 06:29 PM

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!

yaser 03-08-2013 07:20 PM

Re: Q1: clarification on the meaning of polynomial transform of order Q
 
Quote:

Originally Posted by boulis (Post 9833)
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.

yaser 03-08-2013 07:21 PM

Re: Q1: clarification on the meaning of polynomial transform of order Q
 
Quote:

Originally Posted by palmipede (Post 9834)
Is the answer to question 1 supposed to be exact or approximate?

Exact.

gah44 03-08-2013 08:10 PM

Re: Q1: clarification on the meaning of polynomial transform of order Q
 
Quote:

Originally Posted by yaser (Post 9837)
Exact.

So many "nearest" answers that we forget after a while what "exact" means.

yaser 03-08-2013 08:22 PM

Re: Q1: clarification on the meaning of polynomial transform of order Q
 
Quote:

Originally Posted by gah44 (Post 9838)
So many "nearest" answers that we forget after a while what "exact" means.

Exactly. :)

Suhas Patil 03-08-2013 09:42 PM

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. :)

boulis 03-08-2013 10:51 PM

Re: Q1: clarification on the meaning of polynomial transform of order Q
 
Quote:

Originally Posted by yaser (Post 9836)
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 :D


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