Fitting a polynomial with regularization

As a means of familiarizing myself with Matlab I set out to recreate a number of figures from the book Pattern Recognition and Machine Learning (Bishop, 2006). In the first chapter already I am faced with a challange I cannot seem to get past.

To recreate figure 1.7 I will have to two plot a polynomials (of grade 9) on a training data set with a specific regularization constant, i.e. ln(lamda)=-18 and ln(lamda)=0. The regularization term goes with lambda times the square of the weights, and is added to a simple square-error-function.

Without regularization term I used polyfit and polyval to (re)produce figures. With regualization I cannot use these anymore, and now I am stuck.

Is anybody able and willing to point me in the direction of a solution ?

t.i.a.

[bio lim]

Can you give the code you have written so that we can take a look?

[dpb]

Show the specific model to be fit. Is it linear or nonlinear in the coefficients?

[giulgi]

Hey, do you have got an code already? I have the same problem as you. I'm also not able to reprocedure the figure with lambda = -18.