Chris@34
|
1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
|
Chris@34
|
2
|
Chris@34
|
3 /*
|
Chris@34
|
4 Silvet
|
Chris@34
|
5
|
Chris@34
|
6 A Vamp plugin for note transcription.
|
Chris@34
|
7 Centre for Digital Music, Queen Mary University of London.
|
Chris@34
|
8
|
Chris@34
|
9 This program is free software; you can redistribute it and/or
|
Chris@34
|
10 modify it under the terms of the GNU General Public License as
|
Chris@34
|
11 published by the Free Software Foundation; either version 2 of the
|
Chris@34
|
12 License, or (at your option) any later version. See the file
|
Chris@34
|
13 COPYING included with this distribution for more information.
|
Chris@34
|
14 */
|
Chris@34
|
15
|
Chris@34
|
16 #include "EM.h"
|
Chris@34
|
17
|
Chris@34
|
18 #include "data/include/templates.h"
|
Chris@34
|
19
|
Chris@36
|
20 #include <cstdlib>
|
Chris@42
|
21 #include <cmath>
|
Chris@36
|
22
|
Chris@36
|
23 #include <iostream>
|
Chris@36
|
24
|
Chris@91
|
25 #include "VectorOps.h"
|
Chris@91
|
26 #include "Allocators.h"
|
Chris@36
|
27
|
Chris@36
|
28 using std::vector;
|
Chris@36
|
29 using std::cerr;
|
Chris@36
|
30 using std::endl;
|
Chris@36
|
31
|
Chris@91
|
32 using namespace breakfastquay;
|
Chris@91
|
33
|
Chris@35
|
34 static double epsilon = 1e-16;
|
Chris@35
|
35
|
Chris@114
|
36 bool EM::m_initialised = false;
|
Chris@114
|
37 double ****EM::m_templates = 0;
|
Chris@114
|
38
|
Chris@110
|
39 EM::EM(bool useShifts) :
|
Chris@45
|
40 m_noteCount(SILVET_TEMPLATE_NOTE_COUNT),
|
Chris@110
|
41 m_shiftCount(useShifts ? SILVET_TEMPLATE_MAX_SHIFT * 2 + 1 : 1),
|
Chris@45
|
42 m_binCount(SILVET_TEMPLATE_HEIGHT),
|
Chris@91
|
43 m_sourceCount(SILVET_TEMPLATE_COUNT),
|
Chris@42
|
44 m_pitchSparsity(1.1),
|
Chris@83
|
45 m_sourceSparsity(1.3),
|
Chris@83
|
46 m_lowestPitch(silvet_templates_lowest_note),
|
Chris@83
|
47 m_highestPitch(silvet_templates_highest_note)
|
Chris@35
|
48 {
|
Chris@114
|
49 if (!m_initialised) {
|
Chris@114
|
50 cerr << "ERROR: You must call EM::initialise() before constructing any EM objects" << endl;
|
Chris@114
|
51 abort();
|
Chris@114
|
52 }
|
Chris@114
|
53
|
Chris@91
|
54 m_pitches = allocate<double>(m_noteCount);
|
Chris@100
|
55 m_updatePitches = allocate<double>(m_noteCount);
|
Chris@55
|
56 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@55
|
57 m_pitches[n] = drand48();
|
Chris@55
|
58 }
|
Chris@114
|
59
|
Chris@114
|
60 m_sources = allocate_channels<double>(m_sourceCount, m_noteCount);
|
Chris@114
|
61 m_updateSources = allocate_channels<double>(m_sourceCount, m_noteCount);
|
Chris@114
|
62 for (int i = 0; i < m_sourceCount; ++i) {
|
Chris@114
|
63 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@114
|
64 m_sources[i][n] = (inRange(i, n) ? 1.0 : 0.0);
|
Chris@114
|
65 }
|
Chris@114
|
66 }
|
Chris@35
|
67
|
Chris@113
|
68 if (useShifts) {
|
Chris@113
|
69 m_shifts = allocate_channels<double>(m_shiftCount, m_noteCount);
|
Chris@113
|
70 m_updateShifts = allocate_channels<double>(m_shiftCount, m_noteCount);
|
Chris@113
|
71 for (int f = 0; f < m_shiftCount; ++f) {
|
Chris@113
|
72 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@110
|
73 m_shifts[f][n] = drand48();
|
Chris@110
|
74 }
|
Chris@55
|
75 }
|
Chris@113
|
76 } else {
|
Chris@113
|
77 m_shifts = 0;
|
Chris@113
|
78 m_updateShifts = 0;
|
Chris@35
|
79 }
|
Chris@35
|
80
|
Chris@91
|
81 m_estimate = allocate<double>(m_binCount);
|
Chris@91
|
82 m_q = allocate<double>(m_binCount);
|
Chris@35
|
83 }
|
Chris@35
|
84
|
Chris@35
|
85 EM::~EM()
|
Chris@35
|
86 {
|
Chris@92
|
87 deallocate(m_q);
|
Chris@92
|
88 deallocate(m_estimate);
|
Chris@92
|
89 deallocate_channels(m_sources, m_sourceCount);
|
Chris@100
|
90 deallocate_channels(m_updateSources, m_sourceCount);
|
Chris@92
|
91 deallocate_channels(m_shifts, m_shiftCount);
|
Chris@100
|
92 deallocate_channels(m_updateShifts, m_shiftCount);
|
Chris@92
|
93 deallocate(m_pitches);
|
Chris@100
|
94 deallocate(m_updatePitches);
|
Chris@35
|
95 }
|
Chris@35
|
96
|
Chris@45
|
97 void
|
Chris@114
|
98 EM::initialise()
|
Chris@114
|
99 {
|
Chris@114
|
100 //!!! need mutex
|
Chris@114
|
101
|
Chris@114
|
102 if (m_initialised) return;
|
Chris@114
|
103 m_templates = new double ***[SILVET_TEMPLATE_COUNT];
|
Chris@114
|
104 for (int i = 0; i < SILVET_TEMPLATE_COUNT; ++i) {
|
Chris@114
|
105 m_templates[i] = new double **[SILVET_TEMPLATE_NOTE_COUNT];
|
Chris@114
|
106 for (int n = 0; n < SILVET_TEMPLATE_NOTE_COUNT; ++n) {
|
Chris@114
|
107 m_templates[i][n] = new double *[SILVET_TEMPLATE_MAX_SHIFT * 2 + 1];
|
Chris@114
|
108 for (int f = 0; f < SILVET_TEMPLATE_MAX_SHIFT * 2 + 1; ++f) {
|
Chris@114
|
109 m_templates[i][n][f] = allocate<double>(SILVET_TEMPLATE_HEIGHT);
|
Chris@114
|
110 const float *t = silvet_templates[i].data[n] + f;
|
Chris@114
|
111 v_convert(m_templates[i][n][f], t, SILVET_TEMPLATE_HEIGHT);
|
Chris@114
|
112 }
|
Chris@114
|
113 }
|
Chris@114
|
114 }
|
Chris@114
|
115 m_initialised = true;
|
Chris@114
|
116 }
|
Chris@114
|
117
|
Chris@114
|
118 void
|
Chris@45
|
119 EM::rangeFor(int instrument, int &minPitch, int &maxPitch)
|
Chris@45
|
120 {
|
Chris@55
|
121 minPitch = silvet_templates[instrument].lowest;
|
Chris@55
|
122 maxPitch = silvet_templates[instrument].highest;
|
Chris@45
|
123 }
|
Chris@45
|
124
|
Chris@35
|
125 bool
|
Chris@45
|
126 EM::inRange(int instrument, int pitch)
|
Chris@35
|
127 {
|
Chris@45
|
128 int minPitch, maxPitch;
|
Chris@45
|
129 rangeFor(instrument, minPitch, maxPitch);
|
Chris@45
|
130 return (pitch >= minPitch && pitch <= maxPitch);
|
Chris@35
|
131 }
|
Chris@35
|
132
|
Chris@36
|
133 void
|
Chris@92
|
134 EM::normaliseColumn(double *column, int size)
|
Chris@36
|
135 {
|
Chris@92
|
136 double sum = v_sum(column, size);
|
Chris@92
|
137 v_scale(column, 1.0 / sum, size);
|
Chris@36
|
138 }
|
Chris@36
|
139
|
Chris@36
|
140 void
|
Chris@92
|
141 EM::normaliseGrid(double **grid, int size1, int size2)
|
Chris@53
|
142 {
|
Chris@92
|
143 double *denominators = allocate_and_zero<double>(size2);
|
Chris@53
|
144
|
Chris@92
|
145 for (int i = 0; i < size1; ++i) {
|
Chris@92
|
146 for (int j = 0; j < size2; ++j) {
|
Chris@55
|
147 denominators[j] += grid[i][j];
|
Chris@53
|
148 }
|
Chris@53
|
149 }
|
Chris@53
|
150
|
Chris@92
|
151 for (int i = 0; i < size1; ++i) {
|
Chris@92
|
152 v_divide(grid[i], denominators, size2);
|
Chris@53
|
153 }
|
Chris@92
|
154
|
Chris@92
|
155 deallocate(denominators);
|
Chris@53
|
156 }
|
Chris@53
|
157
|
Chris@53
|
158 void
|
Chris@92
|
159 EM::iterate(const double *column)
|
Chris@36
|
160 {
|
Chris@92
|
161 double *norm = allocate<double>(m_binCount);
|
Chris@92
|
162 v_copy(norm, column, m_binCount);
|
Chris@92
|
163 normaliseColumn(norm, m_binCount);
|
Chris@92
|
164 expectation(norm);
|
Chris@92
|
165 maximisation(norm);
|
Chris@95
|
166 deallocate(norm);
|
Chris@36
|
167 }
|
Chris@36
|
168
|
Chris@88
|
169 const double *
|
Chris@55
|
170 EM::templateFor(int instrument, int note, int shift)
|
Chris@45
|
171 {
|
Chris@113
|
172 if (m_shifts) {
|
Chris@114
|
173 return m_templates[instrument][note][shift];
|
Chris@110
|
174 } else {
|
Chris@114
|
175 return m_templates[instrument][note][SILVET_TEMPLATE_MAX_SHIFT];
|
Chris@110
|
176 }
|
Chris@45
|
177 }
|
Chris@45
|
178
|
Chris@36
|
179 void
|
Chris@92
|
180 EM::expectation(const double *column)
|
Chris@36
|
181 {
|
Chris@62
|
182 // cerr << ".";
|
Chris@36
|
183
|
Chris@99
|
184 v_set(m_estimate, epsilon, m_binCount);
|
Chris@36
|
185
|
Chris@91
|
186 for (int i = 0; i < m_sourceCount; ++i) {
|
Chris@55
|
187 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@83
|
188 const double pitch = m_pitches[n];
|
Chris@83
|
189 const double source = m_sources[i][n];
|
Chris@55
|
190 for (int f = 0; f < m_shiftCount; ++f) {
|
Chris@88
|
191 const double *w = templateFor(i, n, f);
|
Chris@113
|
192 const double shift = m_shifts ? m_shifts[f][n] : 1.0;
|
Chris@83
|
193 const double factor = pitch * source * shift;
|
Chris@111
|
194 v_add_with_gain(m_estimate, w, factor, m_binCount);
|
Chris@36
|
195 }
|
Chris@36
|
196 }
|
Chris@36
|
197 }
|
Chris@36
|
198
|
Chris@45
|
199 for (int i = 0; i < m_binCount; ++i) {
|
Chris@36
|
200 m_q[i] = column[i] / m_estimate[i];
|
Chris@36
|
201 }
|
Chris@36
|
202 }
|
Chris@36
|
203
|
Chris@36
|
204 void
|
Chris@92
|
205 EM::maximisation(const double *column)
|
Chris@36
|
206 {
|
Chris@100
|
207 v_set(m_updatePitches, epsilon, m_noteCount);
|
Chris@113
|
208
|
Chris@92
|
209 for (int i = 0; i < m_sourceCount; ++i) {
|
Chris@100
|
210 v_set(m_updateSources[i], epsilon, m_noteCount);
|
Chris@92
|
211 }
|
Chris@62
|
212
|
Chris@113
|
213 if (m_shifts) {
|
Chris@113
|
214 for (int i = 0; i < m_shiftCount; ++i) {
|
Chris@113
|
215 v_set(m_updateShifts[i], epsilon, m_noteCount);
|
Chris@113
|
216 }
|
Chris@113
|
217 }
|
Chris@113
|
218
|
Chris@94
|
219 double *contributions = allocate<double>(m_binCount);
|
Chris@36
|
220
|
Chris@55
|
221 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@85
|
222
|
Chris@85
|
223 const double pitch = m_pitches[n];
|
Chris@85
|
224
|
Chris@85
|
225 for (int f = 0; f < m_shiftCount; ++f) {
|
Chris@85
|
226
|
Chris@113
|
227 const double shift = m_shifts ? m_shifts[f][n] : 1.0;
|
Chris@85
|
228
|
Chris@91
|
229 for (int i = 0; i < m_sourceCount; ++i) {
|
Chris@85
|
230
|
Chris@83
|
231 const double source = m_sources[i][n];
|
Chris@89
|
232 const double factor = pitch * source * shift;
|
Chris@88
|
233 const double *w = templateFor(i, n, f);
|
Chris@85
|
234
|
Chris@94
|
235 v_copy(contributions, w, m_binCount);
|
Chris@95
|
236 v_multiply(contributions, m_q, m_binCount);
|
Chris@94
|
237 v_scale(contributions, factor, m_binCount);
|
Chris@94
|
238
|
Chris@94
|
239 double total = v_sum(contributions, m_binCount);
|
Chris@94
|
240
|
Chris@86
|
241 if (n >= m_lowestPitch && n <= m_highestPitch) {
|
Chris@85
|
242
|
Chris@100
|
243 m_updatePitches[n] += total;
|
Chris@85
|
244
|
Chris@85
|
245 if (inRange(i, n)) {
|
Chris@100
|
246 m_updateSources[i][n] += total;
|
Chris@55
|
247 }
|
Chris@36
|
248 }
|
Chris@55
|
249
|
Chris@113
|
250 if (m_shifts) {
|
Chris@113
|
251 m_updateShifts[f][n] += total;
|
Chris@113
|
252 }
|
Chris@42
|
253 }
|
Chris@36
|
254 }
|
Chris@36
|
255 }
|
Chris@36
|
256
|
Chris@103
|
257 if (m_pitchSparsity != 1.0) {
|
Chris@103
|
258 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@103
|
259 m_updatePitches[n] =
|
Chris@103
|
260 pow(m_updatePitches[n], m_pitchSparsity);
|
Chris@62
|
261 }
|
Chris@103
|
262 }
|
Chris@103
|
263
|
Chris@103
|
264 if (m_sourceSparsity != 1.0) {
|
Chris@103
|
265 for (int n = 0; n < m_noteCount; ++n) {
|
Chris@91
|
266 for (int i = 0; i < m_sourceCount; ++i) {
|
Chris@103
|
267 m_updateSources[i][n] =
|
Chris@103
|
268 pow(m_updateSources[i][n], m_sourceSparsity);
|
Chris@62
|
269 }
|
Chris@62
|
270 }
|
Chris@62
|
271 }
|
Chris@85
|
272
|
Chris@100
|
273 normaliseColumn(m_updatePitches, m_noteCount);
|
Chris@112
|
274 std::swap(m_pitches, m_updatePitches);
|
Chris@112
|
275
|
Chris@113
|
276 normaliseGrid(m_updateSources, m_sourceCount, m_noteCount);
|
Chris@113
|
277 std::swap(m_sources, m_updateSources);
|
Chris@113
|
278
|
Chris@113
|
279 if (m_shifts) {
|
Chris@112
|
280 normaliseGrid(m_updateShifts, m_shiftCount, m_noteCount);
|
Chris@112
|
281 std::swap(m_shifts, m_updateShifts);
|
Chris@112
|
282 }
|
Chris@36
|
283 }
|
Chris@36
|
284
|
Chris@36
|
285
|