The fitters module contains two scilab functions polyfit.sci: polynomial regression linfit.sci: linear regression over multiple independent variables

Upload date : 2011-07-05 16:13:51 MD5 : 4765bdb82824ef60c7d4cd4ae347eb41 SHA1 : ead398440e5c0292abbf36b324a638820dae1d84 Downloads : 2509 File list

Hi, Does the linfit function satisfy the same API as Matlab/linfit : http://www.mathworks.com/help/toolbox/stats/nlinfit.html Do you have examples using your functions ? Best regards, Michaël Baudin

Hi, Is there an advantage of your polyfit with respect to stibox/polyfit: http://forge.scilab.org/index.php/p/stixbox/source/tree/master/macros/polyfit.sci Best regards, Michaël Baudin

Well in brief -Matlab's nlfit is based on the Levenberg–Marquardt algorithm (LMA), which is an iterative procedure. Therefore its results depend on the choice of parameters for the convergence of the method. LMA can be applied to linear problems (which are a particular case of the general non-linear problems), but it is possible that different choices of parameters produce different sets of coefficients for the same data set. -linfit is a non-iterative procedure based on the analytic solution of the equations resulting from the application of the minimum conditions. It allways produce the same result, and does not require an initial estimation of the values of the parameters. But it does not solve non-linear problems.

Sorry, it wasn't my intention to use the same name as your code, simply I wasn't aware of the existence of another polyfit in stixbox. Since no polyfit appears in Scilab's help I assumed there wasn't one, and I didn't checked Git/stixbox. I chose the name trying to make it clear it has the same purpose as the Matlab's polyfit. Comparing the two codes I realized that the results seems to be the same, but my implementation offers two options for the output, a Scilab polynomial object or a matrix ordered as in Matlab, besides graphic comparison. Given that the purpose of linfit and polyfit seems to fit ;) in Git/stixbox I would suggest in incorporate them into that project.

Hi, can you please tel me haw can i use this package to use polyfit function, I am working with Scilab for 1 weak a go. thanks

please help me, I don't know haw can I install this fitters zip!!!!!

> please help me, I don't know haw can I install this fitters zip!!!!! Sorry but installation with atoms is not possible, it seems that the module was never packaged after I uploaded it. Anyway the documentation (manuals in pdf format) is in the docs folder, and the functions are in the files linfit.sci and polyfit.sci. Therefore you can load the functions in memory by executing these files after unzip fitters.zip. The usage is described in the manuals. Best regards Javier

Great tool. Thanks Javier

I Found a possible issue in this function. The code below works x=[-6e6 0 6e6]; y=[-65.0155 0 65.0155]; p=polyfit(x,y,2) but if you change to x=[-6e9 0 6e9]; y=[-65.0155 0 65.0155]; p=polyfit(x,y,2) There is an error: Division by xero. It should work for both cases.

This answer has been deleted.

Sorry for this late reply. You are right, it seems this behavior is related with the use of the qr algorithm (line 177), but I have not found a solution yet. I will keep you informed.

Hi, There is already a "polyfit" in Stixbox, which has full help page, unit tests and interesting options such as the statistical analysis of the residuals. So what are the advantages of your module on this topic ? For the error of Gabriel, Stixbox's polyfit works, although it produces a Warning, due to the bad scaling of the input x : -->x=[-6e9 0 6e9]; y=[-65.0155 0 65.0155]; p=polyfit(x,y,2) Warning : matrix is close to singular or badly scaled. p = 10^(-20) * 1.268D-14 1.084D+12 0. A possible solution is to scale the input x by dividing by the maximum absolute value of the input : -->scale=max(abs(x)) scale = 6.000D+09 -->z=x/scale; -->p=polyfit(z,y,2) p = - 5.263D-15 65.0155 0. To evaluate the polynomial, all you have to do is to rescale the input : -->y = polyval(p,x/scale) y = - 65.0155 0. 65.0155 This works because drastically reduces the orders of magnitude inside Vandermonde's matrix, making the problem much easier to handle : all entries are in [-1,1]. (In your particular example, the data has already been scaled so that the mean is zero.) Matlab's solution for scaling is to handle the mean and the standard deviation of x with the mu parameter. I will had this to Stixbox's polyfit/polyval. Best regards, Michaël

After considering the facts I think Stixbox's polyfit is better than my proposal (that anyway dates back to five years ago and is almost forgotten). In other words, I agree on using Stibox. However, being part of a module puts it in disadvantage with Matlab's polyfit, which comes with its standard installer. Many users don't have the time or the inclination to deal with additional modules and go to Matlab when they don't find polyfit. By the way the Stixbox URL seems empty. (http://forge.scilab.org/index.php/p/stixbox/doc/)