Function fitting given samples and two varying paramters

10 次查看（过去 30 天）
J.L. Jones
J.L. Jones 2014-6-28
评论： Image Analyst 2014-6-29
Suppose I've a set of samples for a function f, I've to find the w_i and deltas of this formulation:
(this is the function to minimize)
while the x are known and K is known aswell.
Any hint/pointer to MATLAB tools to do it/ easy way to do it?
  6 个评论
显示 4更早的评论
Star Strider
Star Strider 2014-6-28
I don’t understand the summation. Are there simply K (x,f(x)) pairs? If you have data as a function of x, then you can easily create an anonymous function for the argument of the summation and use any number of available curve-fitting functions to estimate the parameters (here, w and δ).
Image Analyst
Image Analyst 2014-6-29
Can you explain the " use case"? I understand the part in between the parentheses - basically you want to fit some signal to a combination of K Gaussians, whose parameters are to be determined. But why are you multiplying that by x and integrating? What's the effect of that?

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

Roger Stafford
Roger Stafford 2014-6-29
This appears to be a standard problem for 'fminsearch' or 'fminunc'. The only special feature is that the objective function to be minimized requires both a summation over K terms (I assume) to obtain the integrand function and integration over (I presume) an infinite range. The objective function computation might make the process rather slow.

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Get Started with Curve Fitting Toolbox 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by