Services & Resources / Wolfram Forums
MathGroup Archive
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2004

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: convolution vs. NMinimize

  • To: mathgroup at
  • Subject: [mg52405] Re: [mg52397] convolution vs. NMinimize
  • From: DrBob <drbob at>
  • Date: Fri, 26 Nov 2004 01:04:34 -0500 (EST)
  • References: <>
  • Reply-to: drbob at
  • Sender: owner-wri-mathgroup at

Does anybody know what "4*&#960;*t^3" means?


On Thu, 25 Nov 2004 05:51:03 -0500 (EST), julia <db at> wrote:

> Hello,
> I've had some problems with the nonlinear fit of my measuresd data
> before.
> Now, i have worked it out. I have to use a numerical global
> optimization.
> The fit with NMinimize leads to very good results.
> The problem now is, that the fit needs about 6 hours computation time.
> I'm sure this could be faster, but i don't have an idea how...
> i've generated a sum of squares from the measured data and the model.
> The model consists of the actual model and a numerical convolution of
> the
> model with a measured input signal. The convolution should be the the
> time-consuming
> step. I don't know what mathematica is doing exactly (e.g., which
> steps are calculated
> symbolical or numerical). The optimization should be fast, if the
> model with the actual
> parameters, and the convolution would be evaluated numerically.
> I've attached the code for the optimization.
> In[11]:=
> pred[Pe_,tau_]:=Module[{model,pred1,falt},
>     model=(Pe*tau/(4*&#960;*t^3))^0.5*Exp[-Pe/(4*t/tau)*(1-t/tau)^2];
>     pred1=Map[model/.{t->#}&,time];falt=ListConvolve[inp,pred1,1];falt
>     ]
> In[15]:=soln=NMinimize[Plus@@Table[((yc[Pe,tau][[i]])-respconvdata[[i,2]])^2,
> 	{i,Length[time]}],{{tau,15,20},{Pe,95,110}},MaxIterations->50,Method->"DifferentialEvolution"]//Timing
> "inp" is the input signal
> "pred" is the predicted Convolution product
> "respconvdata" is the measured curve
> Does anybody have an idea?
> (e.g., how to apply the convolution on a different way..)
> Thanks,
> julia

DrBob at

  • Prev by Date: Re: Re: Re: Re: Newly Released Mathematica 5.1 Delivers Unmatched Performance for Handling Data
  • Next by Date: Speeding UP Indexing and Joining of Different Size Rectangular Matrixes
  • Previous by thread: convolution vs. NMinimize
  • Next by thread: Re: convolution vs. NMinimize