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1 %% Dictionary Learning for Automatic Music Transcription - KSVD vs SPAMS
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2 %
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3 % *WARNING!* You should have SPAMS in your search path in order for this
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4 % script to work.Due to licensing issues SPAMS can not be automatically
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5 % provided in SMALLbox (http://www.di.ens.fr/willow/SPAMS/downloads.html).
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6 %
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7 % This file contains an example of how SMALLbox can be used to test diferent
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8 % dictionary learning techniques in Automatic Music Transcription problem.
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9 % It calls generateAMT_Learning_Problem that will let you to choose midi,
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10 % wave or mat file to be transcribe. If file is midi it will be first
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11 % converted to wave and original midi file will be used for comparison with
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12 % results of dictionary learning and reconstruction.
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13 % The function will generarte the Problem structure that is used to learn
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14 % Problem.p notes spectrograms from training set Problem.b using
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15 % dictionary learning technique defined in DL structure.
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16
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17 %
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18 % Centre for Digital Music, Queen Mary, University of London.
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19 % This file copyright 2010 Ivan Damnjanovic.
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20 %
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21 % This program is free software; you can redistribute it and/or
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22 % modify it under the terms of the GNU General Public License as
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23 % published by the Free Software Foundation; either version 2 of the
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24 % License, or (at your option) any later version. See the file
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25 % COPYING included with this distribution for more information.
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26 %%
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27
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28 clear;
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29
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30
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31 % Defining Automatic Transcription of Piano tune as Dictionary Learning
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32 % Problem
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33
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34 SMALL.Problem = generateAMTProblem();
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35
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36 %%
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37 % Use KSVD Dictionary Learning Algorithm to Learn 88 notes (defined in
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38 % SMALL.Problem.p) using sparsity constrain only
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39
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40 % Initialising Dictionary structure
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41 % Setting Dictionary structure fields (toolbox, name, param, D and time)
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42 % to zero values
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43
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44 SMALL.DL(1)=SMALL_init_DL();
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45
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46 % Defining fields needed for dictionary learning
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47
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48 SMALL.DL(1).toolbox = 'KSVD';
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49 SMALL.DL(1).name = 'ksvd';
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50 % Defining the parameters for KSVD
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51 % In this example we are learning 88 atoms in 100 iterations, so that
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52 % every frame in the training set can be represented with maximum Tdata
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53 % dictionary elements. Type help ksvd in MATLAB prompt for more options.
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54
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55 SMALL.DL(1).param=struct(...
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56 'Tdata', 3,...
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57 'dictsize', SMALL.Problem.p,...
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58 'iternum', 50);
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59
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60 % Learn the dictionary
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61
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62 SMALL.DL(1) = SMALL_learn(SMALL.Problem, SMALL.DL(1));
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63
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64 % Set SMALL.Problem.A dictionary and reconstruction function
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65 % (backward compatiblity with SPARCO: solver structure communicate
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66 % only with Problem structure, ie no direct communication between DL and
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67 % solver structures)
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68
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69 SMALL.Problem.A = SMALL.DL(1).D;
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70 SMALL.Problem.reconstruct = @(x) AMT_reconstruct(x, SMALL.Problem);
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71
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72 %%
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73 % Initialising solver structure
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74 % Setting solver structure fields (toolbox, name, param, solution,
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75 % reconstructed and time) to zero values
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76 % As an example, SPAMS (Julien Mairal 2009) implementation of LARS
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77 % algorithm is used for representation of training set in the learned
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78 % dictionary.
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79
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80 SMALL.solver(1)=SMALL_init_solver;
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81
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82 % Defining the parameters needed for sparse representation
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83
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84 SMALL.solver(1).toolbox='SMALL';
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85 SMALL.solver(1).name='SMALL_cgp';
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86
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87 % Here we use mexLasso mode=2, with lambda=2, lambda2=0 and positivity
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88 % constrain (type 'help mexLasso' for more information about modes):
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89 %
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90 % 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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91
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92 SMALL.solver(1).param='20, 1e-2';
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93 % struct(...
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94 % 'lambda', 2,...
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95 % 'pos', 1,...
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96 % 'mode', 2);
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97
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98 % Call SMALL_soolve to represent the signal in the given dictionary.
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99 % As a final command SMALL_solve will call above defined reconstruction
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100 % function to reconstruct the training set (Problem.b) in the learned
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101 % dictionary (Problem.A)
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102
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103 SMALL.solver(1)=SMALL_solve(SMALL.Problem, SMALL.solver(1));
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104
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105 %%
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106 % Analysis of the result of automatic music transcription. If groundtruth
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107 % exists, we can compare transcribed notes and original and get usual
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108 % True Positives, False Positives and False Negatives measures.
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109
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110 if ~isempty(SMALL.Problem.notesOriginal)
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111 AMT_res(1) = AMT_analysis(SMALL.Problem, SMALL.solver(1));
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112 end
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113
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114
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115 %%
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116
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117 % Here we solve the same problem using non-negative sparse coding with
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118 % SPAMS online dictionary learning (Julien Mairal 2009)
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119 %
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120
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121 % Initialising Dictionary structure
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122 % Setting Dictionary structure fields (toolbox, name, param, D and time)
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123 % to zero values
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124
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125 SMALL.DL(2)=SMALL_init_DL();
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126
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127
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128 % Defining fields needed for dictionary learning
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129
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130 SMALL.DL(2).toolbox = 'SPAMS';
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131 SMALL.DL(2).name = 'mexTrainDL';
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132
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133 % Type 'help mexTrainDL in MATLAB prompt for explanation of parameters.
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134
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135 SMALL.DL(2).param=struct(...
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136 'K', SMALL.Problem.p,...
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137 'lambda', 3,...
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138 'iter', 300,...
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139 'posAlpha', 1,...
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140 'posD', 1,...
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141 'whiten', 0,...
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142 'mode', 2);
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143
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144 % Learn the dictionary
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145
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146 SMALL.DL(2) = SMALL_learn(SMALL.Problem, SMALL.DL(2));
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147
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148 % Set SMALL.Problem.A dictionary and reconstruction function
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149 % (backward compatiblity with SPARCO: solver structure communicate
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150 % only with Problem structure, ie no direct communication between DL and
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151 % solver structures)
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152
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153 SMALL.Problem.A = SMALL.DL(2).D;
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154 SMALL.Problem.reconstruct=@(x) AMT_reconstruct(x, SMALL.Problem);
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155
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156 %%
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157 % Initialising solver structure
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158 % Setting solver structure fields (toolbox, name, param, solution,
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159 % reconstructed and time) to zero values
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160 % As an example, SPAMS (Julien Mairal 2009) implementation of LARS
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161 % algorithm is used for representation of training set in the learned
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162 % dictionary.
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163
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164 SMALL.solver(2)=SMALL_init_solver;
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165
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166 % Defining the parameters needed for sparse representation
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167
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168 SMALL.solver(2).toolbox='SPAMS';
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169 SMALL.solver(2).name='mexLasso';
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170
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171 % Here we use mexLasso mode=2, with lambda=3, lambda2=0 and positivity
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172 % constrain (type 'help mexLasso' for more information about modes):
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173 %
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174 % 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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175
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176 SMALL.solver(2).param=struct('lambda', 3, 'pos', 1, 'mode', 2);
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177
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178 % Call SMALL_soolve to represent the signal in the given dictionary.
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179 % As a final command SMALL_solve will call above defined reconstruction
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180 % function to reconstruct the training set (Problem.b) in the learned
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181 % dictionary (Problem.A)
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182
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183 SMALL.solver(2)=SMALL_solve(SMALL.Problem, SMALL.solver(2));
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184
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185 %%
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186 % Analysis of the result of automatic music transcription. If groundtruth
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187 % exists, we can compare transcribed notes and original and get usual
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188 % True Positives, False Positives and False Negatives measures.
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189
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190 if ~isempty(SMALL.Problem.notesOriginal)
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191 AMT_res(2) = AMT_analysis(SMALL.Problem, SMALL.solver(2));
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192 end
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193
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194 %%
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195 % Plot results and save midi files
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196
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197 if ~isempty(SMALL.Problem.notesOriginal)
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198 figAMT = SMALL_AMT_plot(SMALL, AMT_res);
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199 else
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200 figAMT = figure('Name', 'Automatic Music Transcription KSVD vs SPAMS');
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201 subplot(2,1,1); plot(SMALL.solver(1).reconstructed.notes(:,5), SMALL.solver(1).reconstructed.notes(:,3), 'kd ');
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202 title (sprintf('%s dictionary in %.2f s', SMALL.DL(1).name, SMALL.DL(1).time));
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203 xlabel('Time');
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204 ylabel('Note Number');
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205 subplot(2,1,2); plot(SMALL.solver(2).reconstructed.notes(:,5), SMALL.solver(2).reconstructed.notes(:,3), 'b* ');
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206 title (sprintf('%s dictionary in %.2f s', SMALL.DL(2).name, SMALL.DL(2).time));
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207 xlabel('Time');
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208 ylabel('Note Number');
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209 end
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210
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211 FS=filesep;
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212
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213 [pathstr1, name, ext] = fileparts(which('SMALLboxSetup.m'));
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214 cd([pathstr1,FS,'results']);
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215
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216 [filename,pathname] = uiputfile({' *.mid;' },'Save KSVD result midi');
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217 if filename~=0 writemidi(SMALL.solver(1).reconstructed.midi, [pathname,FS,filename]);end
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218
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219 [filename,pathname] = uiputfile({' *.mid;' },'Save SPAMS result midi');
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220 if filename~=0 writemidi(SMALL.solver(2).reconstructed.midi, [pathname,FS,filename]);end
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221
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222 [filename,pathname] = uiputfile({' *.fig;' },'Save KSVD vs SPAMS AMT figure');
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223 if filename~=0 saveas(figAMT, [pathname,FS,filename]);end
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224
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225
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226
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