Difference between revisions of "Lcurve.m"

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{{DISPLAYTITLE:lcurve.m}} __NOTOC__
 
{{DISPLAYTITLE:lcurve.m}} __NOTOC__
  
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L-curve analysis function.
+
L-curve analysis function. Syntax:
  
−
==Syntax==
 
  
−
lam_opt=lcurve(lam,err,reg,mode)
+
    lam_opt=lcurve(lam,err,reg,mode)
 +
 
 +
Parameters:
 +
 
 +
        lam - row vector of regularisation parameters
 +
 +
        err - row vector of least squares errors
 +
 +
        reg - row vector of regularisation functional values
 +
 +
      mode - 'log' for logarithmic coordinates and 'linear'
 +
              for linear ones; 'log' is recommended
 +
 
 +
The function returns the regularisation parameter at the point of the maximum curvature of the L-curve.
 +
 
 +
 
 +
''Version 1.9, authors: [[Ilya Kuprov]]''
  
 
==Arguments==
 
==Arguments==
  
−
lam - row vector of regularisation parameters
+
lam - row vector of regularisation parameters
  
 
       err - row vector of least squares errors
 
       err - row vector of least squares errors

Revision as of 15:49, 5 April 2026


L-curve analysis function. Syntax:


    lam_opt=lcurve(lam,err,reg,mode)

Parameters:

       lam - row vector of regularisation parameters

       err - row vector of least squares errors

       reg - row vector of regularisation functional values

      mode - 'log' for logarithmic coordinates and 'linear'
             for linear ones; 'log' is recommended

The function returns the regularisation parameter at the point of the maximum curvature of the L-curve.


Version 1.9, authors: Ilya Kuprov

Arguments

lam - row vector of regularisation parameters

      err - row vector of least squares errors
      reg - row vector of regularisation functional values
     mode - 'log' for logarithmic coordinates and 'linear'
            for linear ones; 'log' is recommended
The function returns the regularisation parameter at the point
of the maximum curvature of the L-curve.
ilya.kuprov@weizmann.ac.il