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
|
#N canvas 50 -127 640 687 10;
#X msg 131 495 print;
#X msg 132 528 new 5 8 8;
#X msg 127 99 init;
#X msg 128 274 train;
#X msg 129 296 test;
#X msg 128 387 write;
#X obj 70 559 ann_som 4 9 10;
#X msg 70 49 1 0 0 1;
#X msg 70 68 0 1 0 1;
#X msg 70 87 2 1 0 0;
#X msg 128 118 init 0.5;
#X msg 128 138 init 1 0.5 0 0.5;
#X text 234 101 init all weights with "0";
#X text 235 120 init all weights with "0.5";
#X text 235 137 init weights for each sensor;
#X msg 128 163 learn 1;
#X msg 128 197 learn 1 0.9 0.1;
#X text 226 163 set learning rate to 1;
#X msg 128 180 learn 0.5 0.999;
#X text 227 179 set learning rate to 0.5 and factor to 0.999;
#X text 227 197 set learning rate to 1 \, factor to 0.9 and offset to 0.1;
#X msg 128 214 neighbour 1;
#X msg 128 231 neighbour 0.5 0.999;
#X msg 128 248 neighbour 1 0.9 0.1;
#X text 248 215 set neighbourhood to 1;
#X text 249 231 set neighbourhoodto 0.5 and factor to 0.999;
#X text 249 249 set neighbourhood to 1 \, factor to 0.9 and offset to 0.1;
#X text 180 269 set som to "train" mode (learn from sensor-input and output winning neuron);
#X text 179 291 set som to "test" mode (output winning neuron for sensor-input \, but do not learn !);
#X msg 129 328 rule INSTAR;
#X msg 129 345 rule OUTSTAR;
#X msg 129 362 rule KOHONEN;
#X text 218 327 learn with IN-STAR rule;
#X text 219 345 learn with OUT-STAR rule;
#X text 219 362 learn with KOHONENrule;
#X msg 128 405 write mysom.som;
#X msg 129 429 read;
#X msg 129 447 read mysom.som;
#X text 156 68 present various data to the SOM;
#X text 203 495 for debugging;
#X text 207 530 create a new SOM with 8x8 neurons \, each having 5 sensors;
#X text 204 561 create a new SOM with 9x10 neurons \, each having 4 sensors;
#X floatatom 70 614 4 0 0;
#X text 113 618 winning neuron;
#N canvas 13 0 889 630 SOMs 0;
#X text 76 27 SOM :: Self-Organized Maps;
#X text 55 53 SOMs are "Artificial Neural Networks" \, that are trying to learn something about the data presented to them without a supervisor/teacher.;
#X text 59 118 in short:;
#X text 120 119 the neuron \, whose weight-configuration matches the presented data best is the winner (its number (counting from the lower-left corner) is sent to the output);
#X text 121 163 to match the data better the next time it is presented \, the weights of the winning neuron are adjusted.;
#X text 121 188 the weights of the neurons neighbouring the winner are adjusted to match the data too \, but not so strong as the winner's.;
#X text 121 276 lr(n+1)=lr(n)*factor;
#X text 275 277 learning_rate=lr+offset;
#X text 121 289 nb(n+1)=nb(n)*factor;
#X text 275 290 neighbourhood=nb+offset;
#X text 121 230 both neighbourhood and learning-rate (==amount of how much the weights of the winner (and \, proportional \, the weights of the neighbours) are adjusted) are decreasing recursively with time.;
#X text 119 319 thus you will sooner or (most of the time) later get a "brain map" \, where similar inputs will activate neurons in specifique regions (like there are regions for seeing and regions for hearing in our brains);
#X text 97 381 there are various rules \, how to re-adjust the weights of the neurons : in-star \, out-star and kohonen (maybe there are others \, but these i found in literature);
#X obj 607 220 +;
#X text 640 182 ...;
#X obj 579 185 * \$1;
#X obj 607 185 * \$2;
#X obj 670 185 * \$0;
#X obj 579 128 unpack 0 0 0 0 0;
#X text 602 111 n sensors;
#X text 705 186 weights 1 to n;
#X obj 579 90 inlet;
#X obj 607 288 outlet;
#X text 594 62 a neuron;
#X text 566 307 the neuron with the highest weighted sum;
#X text 567 318 matches best and is therefore the winner;
#X text 53 452 notes:;
#X text 101 453 each neuron of the SOM has n sensors. you have to present a list of n floats to the SOM to make it work;
#X text 102 482 you should init the weights for each sensor with the expected mean of the sensor values before you start training to get best and fastest results;
#X text 55 87 they were first proposed by the Finnish scientist T.Kohonen in the 80ies (i think).;
#X text 98 543 if you have no clue \, what's this all about \, maybe you do not need SOMs (which i doubt) or you should have a look at;
#X text 118 577 http://www.eas.asu.edu/~eee511;
#X text 118 591 http://www.cis.hut.fi/projects/ica;
#X connect 13 0 22 0;
#X connect 15 0 13 0;
#X connect 16 0 13 0;
#X connect 17 0 13 0;
#X connect 18 0 15 0;
#X connect 18 1 16 0;
#X connect 18 4 17 0;
#X connect 21 0 18 0;
#X restore 535 44 pd SOMs;
#X text 81 13 ann_som :: train and test Self-Organized Maps;
#X obj 73 660 ann_som test.som;
#X text 211 664 load a SOM-file;
#X connect 0 0 6 0;
#X connect 1 0 6 0;
#X connect 2 0 6 0;
#X connect 3 0 6 0;
#X connect 4 0 6 0;
#X connect 5 0 6 0;
#X connect 6 0 42 0;
#X connect 7 0 6 0;
#X connect 8 0 6 0;
#X connect 9 0 6 0;
#X connect 11 0 6 0;
#X connect 15 0 6 0;
#X connect 16 0 6 0;
#X connect 18 0 6 0;
#X connect 21 0 6 0;
#X connect 22 0 6 0;
#X connect 23 0 6 0;
#X connect 29 0 6 0;
#X connect 30 0 6 0;
#X connect 31 0 6 0;
#X connect 35 0 6 0;
#X connect 36 0 6 0;
#X connect 37 0 6 0;
|