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-   -   Clarification about (non)linear regression (http://book.caltech.edu/bookforum/showthread.php?t=863)

rainbow 07-16-2012 12:26 PM
Clarification about (non)linear regression
 
Hi,

In section 3.4.1, on page 104, it says "For instance, linear regression is often coupled with a feature transform to perform nonlinear regression".

As I understand it, the feature transform are on inputs, but the the model is still linear in the parameters w. Don't we then still have a linear model?

yaser 07-16-2012 12:47 PM
Re: Clarification about (non)linear regression
 
Quote:
Originally Posted by rainbow (Post 3432)
Hi,

In section 3.4.1, on page 104, it says "For instance, linear regression is often coupled with a feature transform to perform nonlinear regression".

As I understand it, the feature transform are on inputs, but the the model is still linear in the parameters w. Don't we then still have a linear model?
Correct. The term "nonlinear regression" is sometimes used when the dependence on the input variables is nonlinear, but indeed what matters as far as the algorithm is concerned is linearity in the parameters.

rainbow 07-16-2012 03:31 PM
Re: Clarification about (non)linear regression
 
Forgot to mention that the book is a pleasure to read. :bow:

yaser 07-16-2012 06:31 PM
Re: Clarification about (non)linear regression
 
Quote:
Originally Posted by rainbow (Post 3440)
Forgot to mention that the book is a pleasure to read. :bow:
Glad you like it. :)


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