annotate m-toolbox/classes/+utils/@math/stopfit.m @ 0:f0afece42f48

Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % STOPFIT verify fit accuracy checking for specified condition.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % Verify fit accuracy checking for a specified condition. Available
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % conditions are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 % Log Residuals difference
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % Check if the minimum of the logarithmic difference between data and
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % residuals is larger than a specified value. ie. if the conditioning
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % value is 2, the function ensures that the difference between data and
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 % residuals is at lest 2 order of magnitude lower than data itsleves.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % Checking algorithm is:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % lsr = log10(abs(y))-log10(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % min(lsr) > lrscond;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % Log Residuals difference and Root Mean Squared Error
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % Check if the log difference between data and residuals is in
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % larger than the value indicated in lsrcond and that the variation of
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % the root mean squared error is lower than 10^(-1*msevar).
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % Checking algorithm is:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % lsr = log10(abs(y))-log10(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % (lsr > lrscond) && (mse < 10^(-1*lrsvarcond));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % CALL:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 % [ext,msg] = stopfit(y,rdl,mse,ctp,lrscond,msevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % INPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 % - y are the fitting data (in case of 'lrs' and 'lrsmse') or the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 % fitted model (in case of 'rft' and 'rftmse')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 % - rdl are the fit residuals
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % - mse is a vector storing the values of root mean squared errors
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 % difference for the present and previuos iterations
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % - order is the model order
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % - ctp defines the conditioning type. Admitted values are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % 1) 'chival' check if the value of the Mean Squared Error is lower
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 % than 10^(-1*lsrcond).
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 % 2) 'chivar' check if the value of the Mean Squared Error is lower
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 % than 10^(-1*lsrcond) and if the relative variation of mean squared error is
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % lower than 10^(-1*msevar).
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 % 3) 'lrs' check if the log difference between data and residuals is
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 % point by point larger than the value indicated in lsrcond. This
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 % mean that residuals are lsrcond order of magnitudes lower than
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 % data.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 % 4) 'lrsmse' check if the log difference between data and
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % residuals is larger than the value indicated in lsrcond and if the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 % relative variation of root mean squared error is lower than
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 % 10^(-1*msevar).
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 % 5) 'rft' check if the spectral flatness coefficient for the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 % rersiduals is larger than the value passed in lrscond. In this case
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 % only values 0 < lrscond < 1 are allowed.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55 % 6) 'rftmse' check if the spectral flatness coefficient for the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 % rersiduals is larger than the value passed in lrscond and if the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 % relative variation of root mean squared error is lower than 10^(-1*msevar).
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 % In this case only values 0 < lrscond < 1 are allowed.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 % OUTPUT:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 % - ext is 1 if the specified condition is satisfied or 0 if not
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 % - msg is a string containing a messagge
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 % VERSION: $Id: stopfit.m,v 1.8 2009/04/20 14:25:50 luigi Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 % HISTORY: 09-10-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 function [ext,msg] = stopfit(y,rdl,mse,ctp,lrscond,msevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 % switching between conditions
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 switch ctp
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 case 'chival'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 if isempty(lrscond)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 lrscond = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 hh = length(mse);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 lsr = -1*log10(mse(hh));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 if lsr > lrscond
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 msg = 'Reached tolerance for Mean Squared Error Value';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 ext = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 ext = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 msg = '';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 case 'chivar'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 if isempty(lrscond)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 a = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 a = lrscond;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 if isempty(msevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 b = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 b = msevar;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 hh = length(mse);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 tlsr = -1*log10(mse(hh));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 if hh == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 stc = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 stc = diff(mse(hh-1:hh))/mse(hh-1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 if all(tlsr > a) && (abs(stc) < 10^(-1*b))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 msg = 'Reached tolerance for Mean Squared Error Value and Variation';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 ext = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 ext = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 msg = '';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 case 'lrs'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 if isempty(lrscond)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 lrscond = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 lsr = log10(abs(y))-log10(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 if min(lsr) > lrscond
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 msg = 'Reached tolerance for Log residuals';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 ext = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 ext = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 msg = '';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 case 'lrsmse'
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 if isempty(lrscond)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 a = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138 a = lrscond;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 if isempty(msevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141 b = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143 b = msevar;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 tlsr = log10(abs(y))-log10(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147 hh = length(mse);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 if hh == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 stc = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151 stc = diff(mse(hh-1:hh))/mse(hh-1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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153 if all(tlsr > a) && (abs(stc) < 10^(-1*b))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 msg = 'Reached tolerance for Log Residuals and Mean Squared Error variation';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155 ext = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 ext = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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158 msg = '';
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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159 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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160
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Daniele Nicolodi <nicolodi@science.unitn.it>
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161 case 'rft' % Check that residuals flatness is larger than a certain value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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162 % Calculate residual flatness
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Daniele Nicolodi <nicolodi@science.unitn.it>
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163 rf = utils.math.spflat(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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164
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
165 % Checking that lrscond has the correct value
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
166 a = lrscond;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
167 if (a >= 1) || (a < 0)
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
168 a = 0.5;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
169 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
170 if rf > a
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
171 msg = 'Reached tolerance for residuals spectral flatness';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
172 ext = true;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
173 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
174 ext = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
175 msg = '';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
176 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
177
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
178 case 'rftmse'
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
179
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
180 % Calculate residual flatness
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
181 rf = utils.math.spflat(abs(rdl));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
182
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
183 % Checking that lrscond has the correct value
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
184 a = lrscond;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
185 if (a >= 1) || (a < 0)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
186 a = 0.5;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
187 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
188
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
189 if isempty(msevar)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
190 b = 2; % Default value
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
191 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
192 b = msevar;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
193 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
194
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
195 hh = length(mse);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
196 if hh == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
197 stc = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
198 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
199 stc = diff(mse(hh-1:hh))/mse(hh-1);
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
200 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
201 if (rf > a) && (abs(stc) < 10^(-1*b))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
202 msg = 'Reached tolerance for residuals spectral flatness and Mean Squared Error variation';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
203 ext = true;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
204 else
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
205 ext = false;
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
206 msg = '';
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
207 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
208
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
209
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
210
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
211 end
f0afece42f48 Import.
Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
diff changeset
212