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Re: Re: Optimized structure of an equation

• To: mathgroup at smc.vnet.net
• Subject: [mg94507] Re: [mg94453] Re: Optimized structure of an equation
• From: Lai Ngoc Anh <anhngoclai at yahoo.com>
• Date: Mon, 15 Dec 2008 07:44:44 -0500 (EST)
• References: <ghtjiu$rdm$1@smc.vnet.net> <200812141234.HAA10083@smc.vnet.net>

Dear Kuska, Dear all,

yes, it is minimization of the function. 

For example, I have experimental data set {x,Zexp}={{x1,Zexp1},{x2,Zexp2},...{xn,Zexpn}}, with n is total experimental data points.

I need to find parameters of the function
Zcal(x)=a*x^(i/6)+b*x^(j/6)+c*x^(k/6)+d*x^(m/6)+g*x^(n/6)
by minimize the sum of ((Zexp-Zcal)/Zexp)^2. 

The problem for me is how to choose the best set of i, j, k, m, n for given data Z(x) and then parameters a, b, c, d, g.

May be the parameters can be found by using evolution strategies. I really don't know how to do and not sure whether these strategies or other strategies would be helpful.
  
Thank you very much in advance!

N.A


________________________________
From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
To: mathgroup at smc.vnet.net
Sent: Sunday, December 14, 2008 1:34:59 PM
Subject: [mg94507] [mg94453] Re: Optimized structure of an equation

Hi,

and what is the "optimize structure" of an equation ?
A minimum with the function value 5 ??

Regards
   Jens

Lai Ngoc Anh wrote:
> Dear all,
> I want to optimize structure of an equation as
> Z(x)=a*x^(i/6)+b*x^(j/6)+c*x^(k/6)+d*x^(m/6)+g*x^(n/6)
> in which, i, j, k, m, n are integers. The values of i, j, k, m, n are in range from 1 to 100. optimization should give the best set of i, j, k, m, n for given data Z(x). 
> a, b, c, d, g are parameters to be found with the best structure form of the optimization equation the with  i, j, k, m, n.
> Could you please tell me what should i do?
> thanks 
> 
>  NA
> 
> 

• Follow-Ups:
  • Re: Re: Re: Optimized structure of an equation
    • From: Daniel Lichtblau <danl@wolfram.com>

• References:
  • Re: Optimized structure of an equation
    • From: Jens-Peer Kuska <kuska@informatik.uni-leipzig.de>