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Re: nonlinear curve fitting using orthogonal distance regression?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg124731] Re: nonlinear curve fitting using orthogonal distance regression?
  • From: Ray Koopman <koopman at sfu.ca>
  • Date: Fri, 3 Feb 2012 02:08:26 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • References: <jgdmrn$qnv$1@smc.vnet.net>

On Feb 2, 2:00 am, "Michael B. Heaney" <mhea... at gmail.com> wrote:
> Does anyone know if there is a way to do nonlinear curve fitting using
> orthogonal distance regression?

Is this the sort of thing you had in mind?

Dimensions/@{xdata,ydata} -> {{n,p},{n,q}}

f[x_,params_] := function that takes a row of xdata and gives an
estimate of the corresponding row of ydata as a function of params;

FindMinimum[#.#&@Flatten[ f[#,params]&/@xdata - ydata ],
            parameter names and initial guesstimates]



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