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1 %% DICTIONARY LEARNING FOR AUTOMATIC MUSIC TRANSCRIPTION EXAMPLE 1
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2 % This file contains an example of how SMALLbox can be used to test diferent
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3 % dictionary learning techniques in Automatic Music Transcription problem.
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4 % It calls generateAMT_Learning_Problem that will let you to choose midi,
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5 % wave or mat file to be transcribe. If file is midi it will be first
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6 % converted to wave and original midi file will be used for comparison with
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7 % results of dictionary learning and reconstruction.
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8 % The function will generarte the Problem structure that is used to learn
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9 % Problem.p notes spectrograms from training set Problem.b using
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10 % dictionary learning technique defined in DL structure.
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11 %
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12 % Ivan Damnjanovic 2010
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13 %%
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14
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15 clear;
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16
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17
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18 % Defining Automatic Transcription of Piano tune as Dictionary Learning
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19 % Problem
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20
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21 SMALL.Problem = generateAMT_Learning_Problem();
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22 TPmax=0;
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23 %%
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24 for i=1:10
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25 %%
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26 % Solving AMT problem using non-negative sparse coding with
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27 % SPAMS online dictionary learning (Julien Mairal 2009)
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28 %
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29
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30 % Initialising Dictionary structure
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31 % Setting Dictionary structure fields (toolbox, name, param, D and time)
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32 % to zero values
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33
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34 SMALL.DL(i)=SMALL_init_DL();
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35
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36 % Defining fields needed for dictionary learning
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37
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38 SMALL.DL(i).toolbox = 'SPAMS';
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39 SMALL.DL(i).name = 'mexTrainDL';
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40
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41 % We test SPAMS for ten different values of parameter lambda
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42 % Type 'help mexTrainDL in MATLAB prompt for explanation of parameters.
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43
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44 lambda(i)=1.4+0.2*i;
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45
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46 SMALL.DL(i).param=struct(...
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47 'K', SMALL.Problem.p,...
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48 'lambda', lambda(i),...
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49 'iter', 300,...
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50 'posAlpha', 1,...
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51 'posD', 1,...
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52 'whiten', 0,...
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53 'mode', 2);
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54
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55 % Learn the dictionary
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56
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57 SMALL.DL(i) = SMALL_learn(SMALL.Problem, SMALL.DL(i));
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58
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59 % Set SMALL.Problem.A dictionary and reconstruction function
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60 % (backward compatiblity with SPARCO: solver structure communicate
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61 % only with Problem structure, ie no direct communication between DL and
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62 % solver structures)
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63
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64 SMALL.Problem.A = SMALL.DL(i).D;
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65 SMALL.Problem.reconstruct=@(x) SMALL_midiGenerate(x, SMALL.Problem);
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66
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67
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68 %%
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69 % Initialising solver structure
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70 % Setting solver structure fields (toolbox, name, param, solution,
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71 % reconstructed and time) to zero values
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72 % As an example, SPAMS (Julien Mairal 2009) implementation of LARS
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73 % algorithm is used for representation of training set in the learned
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74 % dictionary.
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75
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76 SMALL.solver(1)=SMALL_init_solver;
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77
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78 % Defining the parameters needed for sparse representation
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79
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80 SMALL.solver(1).toolbox='SPAMS';
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81 SMALL.solver(1).name='mexLasso';
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82
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83 % Here we use mexLasso mode=2, with lambda=3, lambda2=0 and positivity
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84 % constrain (type 'help mexLasso' for more information about modes):
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85 %
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86 % min_{alpha_i} (1/2)||x_i-Dalpha_i||_2^2 + lambda||alpha_i||_1 + (1/2)lambda2||alpha_i||_2^2
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87
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88 SMALL.solver(1).param=struct(...
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89 'lambda', 3,...
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90 'pos', 1,...
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91 'mode', 2);
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92
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93 % Call SMALL_soolve to represent the signal in the given dictionary.
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94 % As a final command SMALL_solve will call above defined reconstruction
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95 % function to reconstruct the training set (Problem.b) in the learned
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96 % dictionary (Problem.A)
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97
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98 SMALL.solver(1)=SMALL_solve(SMALL.Problem, SMALL.solver(1));
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99
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100 %%
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101 % Analysis of the result of automatic music transcription. If groundtruth
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102 % exists, we can compare transcribed notes and original and get usual
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103 % True Positives, False Positives and False Negatives measures.
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104
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105 AMT_res(i) = AMT_analysis(SMALL.Problem, SMALL.solver(1));
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106 if AMT_res(i).TP>TPmax
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107 TPmax=AMT_res(i).TP;
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108 BLmidi=SMALL.solver(1).reconstructed.midi;
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109 writemidi(SMALL.solver(1).reconstructed.midi, ['testL',i,'.mid']);
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110 max=i;
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111 end
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112 end %end of for loop
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113 %%
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114 % Plot results and save midi files
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115
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116 figAMTbest=SMALL_AMT_plot(SMALL, AMT_res(max));
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117
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118 resFig=figure('Name', 'Automatic Music Transcription SPAMS lambda TEST');
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119
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120 subplot (3,1,1); plot(lambda(:), [AMT_res(:).TP], 'ro-');
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121 title('True Positives vs lambda');
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122
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123 subplot (3,1,2); plot(lambda(:), [AMT_res(:).FN], 'ro-');
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124 title('False Negatives vs lambda');
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125
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126 subplot (3,1,3); plot(lambda(:), [AMT_res(:).FP], 'ro-');
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127 title('False Positives vs lambda');
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128
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129 FS=filesep;
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130 [pathstr1, name, ext, versn] = fileparts(which('SMALLboxSetup.m'));
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131 cd([pathstr1,FS,'results']);
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132 [filename,pathname] = uiputfile({' *.mid;' },'Save midi');
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133 if filename~=0 writemidi(BLmidi, [pathname,FS,filename]);end
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134 [filename,pathname] = uiputfile({' *.fig;' },'Save figure TP/FN/FP vs lambda');
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135 if filename~=0 saveas(resFig, [pathname,FS,filename]);end
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136
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137 [filename,pathname] = uiputfile({' *.fig;' },'Save BEST AMT figure');
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138 if filename~=0 saveas(figAMTbest, [pathname,FS,filename]);end
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139
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140
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