KMeans-Fin.ipynb 1.09 MB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## kMeans Clustering\n",
    "\n",
    "In this lesson we consider another example of unsupervised learning, kMeans clustering, which is particularly useful for classification problems. We will cover a basic description of how this algorithm works, how the optimal number of clusters can be chosen and consider applications to classifying digits and image processing.\n",
    "\n",
    "kMeans clustering works by investigating the features of instances and assuming that samples that lie close to each other in feature space will have the same labels. For example, if we are trying to classify adult animals and we have the features diet, weight, height, length and colour, we would expect that the animals that lie in clusters in feature space are the same species. Then if we know the species of one animal in each cluster, we can label that cluster as a known species. As we increase the number of independent features we would expect the clusters to become more distinct in feature space.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we import the necessary libraries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
      "  import pandas.util.testing as tm\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; sns.set()\n",
    "import pandas as pd\n",
    "from sklearn.metrics import confusion_matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import some functions for plotting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from logitplots import plt_confusion_matrix, plt_decision_boundaries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contents"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Classifying Blobs\n",
    "* Classifying Digits\n",
    "* Image Compression and Segmentation\n",
    "* Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Classifying Blobs\n",
    "\n",
    "We first consider a simple example using the `sklearn` function `make_blobs`. This creates a set of random clusters, which for the given parameters, we can see are relatively distinct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "# create 5 blobs of points with coordinates X and labels y_true\n",
    "# cluster_std controls the size of the blobs\n",
    "X, y_true = make_blobs(n_samples=300, centers=5, cluster_std=.8, random_state=0)\n",
    "fig = plt.figure(figsize=(6, 5)) # set up a figure of size 6 x 5\n",
    "# scatter plots of the blobs coloured by their labels\n",
    "plt.scatter(X[:,0], X[:,1], c=y_true, s=10, cmap='viridis');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use KMeans clustering we need to specify the number of clusters. In this case, it is obvious that we should choose `n_clusters=5`. Later we will show how to choose the correct number of clusters by using scores that are output by `KMeans`. The use of `KMeans` is the same as for other `sklearn` functions: we instantatiate the model with the chosen parameters, we fit the data to the model, and then we can use the model to predict values. In this case, this is simply the index for the cluster. However, if we know target properties for some of the members of the cluster, we can associate these predictions with all members of the cluster. Again, as this is unsupervised learning, we do not need to split the data into testing and training sets, and we only need to fit the data features to the model.\n",
    "\n",
    "Fit the data for `KMeans` is very simple. The data is assigned to the cluster within the nearest centre.\n",
    "\n",
    "The plot below shows the boundaries for each cluster, which will be line segments or hyperplanes in higher dimensions, and the centre for each cluster shown as a cross. In this case, `Kmeans` is fairly successful in predicting the clusters. There are some misclassifications where there is crossover between the clusters, but generally it predicts the true values. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a2138f790>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters=5) # instantatiate the model with default values and 5 clusters\n",
    "kmeans.fit(X) # fit the data to the model\n",
    "y_kmeans = kmeans.predict(X) # use the model to predict labels for each cluster\n",
    "\n",
    "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1 # find the minimum and maximum of the first feature\n",
    "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1 # find the minimum and maximum of the second feature\n",
    "# create a rectangular grid which goes from the minimum to maximum values in step-size of h\n",
    "xx, yy = np.meshgrid(np.linspace(x_min, x_max, 100),np.linspace(y_min, y_max, 100)) \n",
    "\n",
    "fig = plt.figure(figsize=(6, 5)) # set up a figure of size 10 x 5\n",
    "plt_decision_boundaries(kmeans,xx,yy) # plot the decision boundaries\n",
    "# scatter plot of the data points coloured by their true values\n",
    "plt.scatter(X[:,0], X[:,1], s=10, c=y_true, cmap='viridis') \n",
    "# get the values of the centers from the model\n",
    "centers = kmeans.cluster_centers_\n",
    "# plot the centre posititions with a black cross on a white circle\n",
    "plt.scatter(centers[:,0], centers[:,1], c='white', s=100, alpha=1.)\n",
    "plt.scatter(centers[:,0], centers[:,1], c ='black', marker='x', s=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To understand how `KMeans` calculates the clusters, we can view the evolution of the centers and cluster boundaries. If we specify `init='random'` and `n_init=1`, then the model is fit to the data using random initial conditions and one run for each initial condition. We will explain later how these differ from the default values. The first step is that 5 points in the data set are chosen at random as the initial cluster centres. Then each point is assigned to the closest cluster centre. For each cluster the centre is recalculated as the average position of the members of the cluster. The process is then repeated until the centres converge (stop moving) or the maximumum number of iterations (specified by `max_iter`) is reached. The algorithm is assured to converge, although the number of iterations for this to occur will depend on the data set, and the parameters of the algorithm. Also, the final classification will be dependent on the choice of initial condition.\n",
    "\n",
    "In the sequence below it is apparent that the centre in the blue region converges rapidly. After two iterations it does not move significantly. However, for the other regions, which are much closer together, the convergence is slower. Initially the cluster in the top left-hand corner is split into two, but gradually one of the cluster centres moves toward the cluster in the middle of the figure. At the same rate, the cluster in the brown region is slowly pushed downwards to the correct position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1008x648 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3, figsize=(14,9)) # set up 2 by 3 subplots on a figure of size 14 x 9\n",
    "# loop over the number of iterations and the axes\n",
    "# flat flattens the array to a one-dimensional array\n",
    "for niter, axi in zip(range(1,7), ax.flat):\n",
    "    # instantatiate KMeans with 5 clusters, random initial conditions,\n",
    "    # only one set of initial conditions and the number of iterations specified by niter\n",
    "    kmeans = KMeans(n_clusters=5, init='random', n_init=1, max_iter=niter, random_state=0)\n",
    "    kmeans.fit(X) # fit the data to the model\n",
    "    y_kmeans = kmeans.predict(X) # get predictions of labels from the model\n",
    "\n",
    "    # plot the decision boundaries on the current axes\n",
    "    plt_decision_boundaries(kmeans,xx,yy,ax=axi) \n",
    "    axi.scatter(X[:,0], X[:,1], s=2, cmap='viridis') # plot the data points\n",
    "    centers = kmeans.cluster_centers_ # get the cluster centres from the model\n",
    "    # plot the centres as a black cross on a white circle\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='white', s=100, alpha=1.)\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='black', marker='x', s=50, alpha=0.5)\n",
    "    # put the number of iterations in the title\n",
    "    axi.set_title('Iterations = {0}'.format(niter))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As the initial conditions are chosen randomly, different final classifications can result. An example is shown below for two different random initial conditions. The left figure is the final classification for the sequence shown in the previous cell. We can see that the left figure gives a better classification of the clusters, but in general to make a decision we need a metric. The metric that is used by `KMeans` is known as the *inertia*, and corresponds to the sum of the squared distances from each sample to the closet cluster centre. Using this we see that the left figure has an inertia which is half that of the right figure.\n",
    "\n",
    "The default behaviour of `KMeans` is to use an algorithm known as *K-Mean++* to choose the initial conditions. This chooses the first cluster centre randomly and then chooses the other centres so that they are well spaced across the distribution of points. This results in a decrease in times the algorithm needs to run to converge to the optimal solution. `KMeans` also is repeated with random initial conditions, and then the final configuration with the lowest inertia is chosen. The default number of runs of `KMeans` is `n_init=10`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10,5)) # set up 2 subplots a figure of size 10 x 5\n",
    "# loop over two random number seeds and the axes\n",
    "# flat flattens the array to a one-dimensional array\n",
    "for rstate, axi in zip(np.array([0,42]), ax.flat):\n",
    "    # instantatiate KMeans with 5 clusters, random initial conditions,\n",
    "    # only one set of initial conditions and the random seed specified by rstate\n",
    "    kmeans = KMeans(n_clusters=5, init='random', n_init=1, random_state=rstate)\n",
    "    kmeans.fit(X) # fit the data to the model\n",
    "    y_kmeans = kmeans.predict(X) # get predictions of labels from the model\n",
    "\n",
    "    # plot the decision boundaries on the current axes\n",
    "    plt_decision_boundaries(kmeans,xx,yy,ax=axi)\n",
    "    axi.scatter(X[:,0], X[:,1], s=2, cmap='viridis') # plot the data points\n",
    "    centers = kmeans.cluster_centers_ # get the cluster centres from the model\n",
    "    # plot the centres as a black cross on a white circle\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='white', s=100, alpha=1.)\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='black', marker='x', s=50, alpha=0.5)\n",
    "    # put the inertia in the title\n",
    "    axi.set_title('Inertia = {0}'.format(np.round(kmeans.inertia_,2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example it is easy to choose the initial guess of the number of clusters. In practise, we do not know beforehand the optimal number of clusters and we need to undertake a parameter search to determine this. The figure below shows the the effect of changing `n_clusters` for the blobs data. For 4 clusters it can be seen that the green region is made up of 2 clusters, while for 6 clusters the brown and blue regions are actually 1 cluster. The inertia for each of these optimal solutions is also shown, and it is apparent that this decreases with the number of clusters. In general this will occur for the optimal solutions. However, between 4 and 5 the inertia decreases by over a factor of 2, while between 5 and 6 the inertia only decrease by a factor of 1.1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1008x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 3, figsize=(14,5))# set up 3 subplots a figure of size 14 x 5\n",
    "# loop over the number of clusters and the axes\n",
    "# flat flattens the array to a one-dimensional array\n",
    "for ncl, axi in zip(range(4,7), ax.flat):\n",
    "    # instantatiate KMeans with ncl clusters\n",
    "    kmeans = KMeans(n_clusters=ncl)\n",
    "    kmeans.fit(X) # fit the data to the model\n",
    "    y_kmeans = kmeans.predict(X) # get predictions of labels from the model\n",
    "\n",
    "    # plot the decision boundaries on the current axes\n",
    "    plt_decision_boundaries(kmeans,xx,yy,ax=axi)\n",
    "    axi.scatter(X[:,0], X[:,1], s=2, cmap='viridis') # plot the data points\n",
    "    centers = kmeans.cluster_centers_  # get the cluster centres from the model\n",
    "    # plot the centres as a black cross on a white circle\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='white', s=100, alpha=1.)\n",
    "    axi.scatter(centers[:,0], centers[:,1], c='black', marker='x', s=50, alpha=0.5)\n",
    "    # put the number of clusters and inertia in the title\n",
    "    axi.set_title('Clusters = {0}, Inertia = {1}'.format(ncl,np.round(kmeans.inertia_,2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can investigate the inertia of a wider range of values of `n_clusters`, and this is shown below. Up until 5 clusters, we obtain a dramatic reduction in the inertia for the addition of each cluster, but after 5 clusters there is only a marginal reduction in the inertia for the addition of each cluster as all the algorithm is doing is splitting clusters. The optimal value of `n_clusters` then occurs on the *elbow* of the curve where the return changes from dramatic to marginal. However, determining this point is subjective. We could multiply the inertia by an increasing function, e.g., the number of clusters, and then we see there is a minimum at 5 clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nclusters = np.arange(1,11) # create an array of the number clusters to investigate\n",
    "inertia_score = [] # initialize an array for the inertia score\n",
    "for ncl in nclusters: # loop over the number of clusters\n",
    "    # instantatiate KMeans with ncl clusters\n",
    "    kmeans = KMeans(n_clusters=ncl)\n",
    "    kmeans.fit(X) # fit the data to the model\n",
    "    # obtain the inertia score from the model and append the current value to the \n",
    "    # array inertia_score\n",
    "    inertia_score.append(kmeans.inertia_) \n",
    "\n",
    "fig = plt.figure(figsize=(6,5)) # set up a figure of size 6 x 5\n",
    "# plot the inertia score and nclusters*(inertia score)\n",
    "plt.plot(nclusters,inertia_score,'-',label='Inertia score')\n",
    "plt.plot(nclusters,nclusters*inertia_score,'--',label='Inertia score x clusters')\n",
    "plt.legend() # put a legend in the best place\n",
    "plt.xlabel('Number of clusters'); # add an x label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A more objective way to determine the optimal number of clusters is to use the *silhouette score*. The *silhouette coefficient* for an individual sample is defined as $(b-a)/max(a,b)$, where $a$ is the mean distance from that sample to all other points in that cluster, and $b$ is the distance to the centre of the next closest cluster. If the silhouette coefficient is close to 1 then that suggests that the point is in the correct cluster, and if it is close to -1 that it is in the incorrect cluster. If the coefficient is near 0, this suggest that there are the point is near the boundary of two clusters. The *silhouette score* is then the mean of the *silhouette coefficient* for all points. The silhouette score can be calculated using the `sklearn` function `silhouette_score`. Repeating the previous calculation it can be seen the score reaches a maximumum at 5 clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import silhouette_score \n",
    "\n",
    "nclusters = np.arange(2,11)  # create an array of the number clusters to investigate\n",
    "slh_score = []  # initialize an array for the silhouette score\n",
    "for ncl in nclusters: # loop over the number of clusters\n",
    "    # instantatiate KMeans with ncl clusters and fit the data to the model\n",
    "    kmeans = KMeans(n_clusters=ncl, random_state=0).fit(X)\n",
    "    # calculate the silhouette score and append the current value to the \n",
    "    # array silhoutte_score\n",
    "    slh_score.append(silhouette_score(X, kmeans.labels_))\n",
    "\n",
    "fig = plt.figure(figsize=(6,5)) # set up a figure of size 6 x 5\n",
    "# plot the silhouette score\n",
    "plt.plot(nclusters, slh_score)\n",
    "plt.xlabel('Number of clusters'); # add an x label\n",
    "plt.ylabel('Silhouette score'); # add a y label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`KMeans` works best on spherical clusters, therefore it is important to normalise variables prior to fitting this model. For more complicated distributions generalizations of `KMeans`, such as spectral clustering, DBSCAN and Gaussian mixture models need to be applied to the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Classifying Digits\n",
    "\n",
    "In the previous lesson we investigated using dimensionality reduction on the digits data. Now we can use `KMeans` to classify the data, and compare the results with and without using PCA. We first load the dataset, which gives 1797 instances of 8 x 8 images or 64 features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of digits data: (1797, 64)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits() # load the digits data set\n",
    "print('Shape of digits data:',digits.data.shape) # print the shape of the data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we know that there are 10 separate digits, we will assume that this is also the optimal number of clusters. To determine the effectiveness of `KMeans` in classifying the digits we can view the image at the cluster centre. Since there are 10 clusters, this is a flattened 8 x 8 image. To plot the image we reshape this into 8 by 8 images. As can be seen, all the images seem to be indentified, although the 8 is a little indistinct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans = KMeans(n_clusters=10, random_state=0)  # instantatiate KMeans with 10 clusters \n",
    "clusters = kmeans.fit_predict(digits.data) # fit the digits data to the model\n",
    "\n",
    "fig, ax = plt.subplots(2, 5, figsize=(10,5)) # set up 2 x 5 subplots on a figure of size 10 x 5\n",
    "\n",
    "# extract the centres positions from the model and reshape from a 10 x 64 array to a 10 x 8 x 8 array\n",
    "centers = kmeans.cluster_centers_.reshape(10, 8, 8) \n",
    "# loop over the subplot axes and the cluster centres\n",
    "for axi, center in zip(ax.flat, centers):\n",
    "    axi.set(xticks=[], yticks=[]) # don't show x or y annotations on this plot\n",
    "    axi.imshow(center, cmap=plt.cm.binary) # plot in binary the image for the current centre"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To determine the accuracy of `KMeans` we need to assign a label (number) to each cluster. As the `KMeans` does not order the clusters in an order related to the digits, we need to assign a label to the cluster by searching through each cluster and finding the most common label (mode) in that cluster."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import mode\n",
    "\n",
    "labels = np.zeros_like(clusters) # create an array of zeros of the same size as clusters\n",
    "for i in range(10): # loop over the indicies for the clusters\n",
    "    mask = (clusters == i) # find the index of all points in the current cluster\n",
    "    # find the most common label(mode) for the points in the current cluster\n",
    "    # and assign that as the predicted label for the points in the current cluster\n",
    "    # we take the first value in the array, as the could be multiple modes\n",
    "    labels[mask] = mode(digits.target[mask])[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now determine the accuracy of `KMeans` by comparing the predicted value against the actual values. This gives an accuracy of 80%, which is very good considering the effort is setting up the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy of KMeans is 0.795\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "# calculate the accuracy score by using the actual and predicted labels\n",
    "# and print this\n",
    "print('Accuracy of KMeans is',np.round(accuracy_score(digits.target, labels),3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To see where `KMeans` breaks down, we can view the confusion matrix. From this it is apparent that the main mistakes are that 1 is mistaken for 2 and 8, 5 and 8 mistaken for 9, and 9 is mistaken for 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the confusion matrix by using the actual and predicted labels\n",
    "cnf_matrix = confusion_matrix(digits.target, labels)\n",
    "plt_confusion_matrix(cnf_matrix, digits.target_names, 'KMeans')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above process can be repeated, but first reducing the dimension of the data set using PCA. In this case we choose to account for 90% of the variance, and as a result the size of the data set is reduced to 1/3 of its original size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of cluster centres is (10, 21)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(0.9) #instantatiate PCA to calculate with 90% of the explained variance\n",
    "projected = pca.fit_transform(digits.data) # fit the data and transform to component space\n",
    "\n",
    "kmeans = KMeans(n_clusters=10, random_state=0)  # instantatiate KMeans with 10 clusters \n",
    "clusters = kmeans.fit_predict(projected) # fit the digits data to the model\n",
    "print('Shape of cluster centres is',kmeans.cluster_centers_.shape) # print the shape of the cluster centres"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using only the first 21 PC does not significantly effect the accuracy, which is only reduced by 0.2%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy of KMeans + PCA is 0.794\n"
     ]
    }
   ],
   "source": [
    "labels = np.zeros_like(clusters)  # create an array of zeros of the same size as clusters\n",
    "for i in range(10): # loop over the indicies for the clusters\n",
    "    mask = (clusters == i)  # find the index of all points in the current cluster\n",
    "    # find the most common label(mode) for the points in the current cluster\n",
    "    # and assign that as the predicted label for the points in the current cluster\n",
    "    # we take the first value in the array, as the could be multiple modes\n",
    "    labels[mask] = mode(digits.target[mask])[0]\n",
    "    \n",
    "# calculate the accuracy score by using the actual and predicted labels\n",
    "# and print this\n",
    "print('Accuracy of KMeans + PCA is',np.round(accuracy_score(digits.target, labels),3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, the patterns which are viewed in the confusion matrix are only marginally changed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the confusion matrix by using the actual and predicted labels\n",
    "cnf_matrix = confusion_matrix(digits.target, labels)\n",
    "plt_confusion_matrix(cnf_matrix, digits.target_names, 'KMeans with PCA')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Image Compression and Segmentation\n",
    "\n",
    "Finally, we can view an example of how `KMeans` can be used for image compression or segmentation. A typical image is stored as an array, where at each point the Red, Blue and Green intensity is specified. The intensity is generally an integer between 0 and 225. Consequently the number of colours in an image is $256^3 = 16,777,216$. Reducing the number of colours that are used allows the size of the image to be reduced significantly by compression algorithms. \n",
    "\n",
    "`Kmeans` can also be used for image segmentation. If we assume the regions of the image are of similar colours and assign the 'average' colour to that region, then the image can be divided into segments based on these colours.\n",
    "\n",
    "For the lorikeet image there are 1024 by 678 pixels, and at each pixel there are values for Red, Blue and Green."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the image array is (1024, 768, 3)\n"
     ]
    }
   ],
   "source": [
    "lorikeet = plt.imread('RainbowLorikeet.jpg') # load an image of a rainbow lorikeet\n",
    "print('Shape of the image array is',lorikeet.shape) # print the shape of the image array"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are a number of distinct colour regions in the image, with gradations in each of the regions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(7,7)) # initialize a figure of size 7 x 7\n",
    "plt.imshow(lorikeet) # display the image\n",
    "plt.axis('off'); # turn off axis annotations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To process the data we normalize the intensities so that they lie between 0 and 1, and reshape the array so that each pixel is an instance and we have 3 features at each pixel, being the individual colour intensity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the data array is (786432, 3)\n"
     ]
    }
   ],
   "source": [
    "data = lorikeet/255.0 # normalize the intensities so they are between 0 and 1\n",
    "data = data.reshape(1024*768, 3) # reshape the image to a samples x features array\n",
    "print('Shape of the data array is',data.shape) # print the shape of the data array"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now plot the colour intensity as a three dimensional array. As there are a large number of points, we plot a random sample of the points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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