-
Notifications
You must be signed in to change notification settings - Fork 14
/
Copy pathTemporal Memory Elementary Algorithm.nb
6660 lines (6597 loc) · 291 KB
/
Temporal Memory Elementary Algorithm.nb
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
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 0, 0]
NotebookDataLength[ 297914, 6659]
NotebookOptionsPosition[ 292946, 6561]
NotebookOutlinePosition[ 293466, 6581]
CellTagsIndexPosition[ 293423, 6578]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[CellGroupData[{
Cell["Temporal Memory - Elementary Algorithm", "Subsection",ExpressionUUID->"b0407cdc-a0b0-403f-8241-b4228ce62651"],
Cell["\<\
Peter Overmann, 21 Jul 2022
The simplest possible temporal memory algorithm composed of two triadic \
memory instances M1 and M2.
M1 creates a random context vector for a consecutive pair of inputs, and \
feeds it back to the delayed input.
M2 learns the association of the current input, the previous input, and the \
delayed previous input plus feedback.
The prediction step, not explicitly shown in the following circuit diagram, \
is a query on M2 performed at the moment its two bottom positions are filled \
with new values propagated from M1.
\
\>", "Text",
CellGroupingRules->{
"GroupTogetherGrouping",
10000.},ExpressionUUID->"f28cdd66-877d-4532-b44e-f14d86f80b00"],
Cell[TextData[{
Cell[BoxData[
GraphicsBox[
TagBox[RasterBox[CompressedData["
1:eJzs3QeUFVWe+PGZnc07Z/POzM7uObszZ8PMzn/UkaCiMwiIImYkKTrgIEMQ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"], {{0, 387.}, {404., 0}}, {0, 255},
ColorFunction->RGBColor,
ImageResolution->144],
BoxForm`ImageTag["Byte", ColorSpace -> "RGB", Interleaving -> True],
Selectable->False],
DefaultBaseStyle->"ImageGraphics",
ImageSize->{219.10922851562455`, Automatic},
ImageSizeRaw->{404., 387.},
PlotRange->{{0, 404.}, {0, 387.}}]], "Input",ExpressionUUID->
"88651216-7b0f-44ef-bc79-c4c6dc842ebf"],
"\n\nThe following series of diagrams shows how a temporal sequence ABCD \
flows through this initially blank circuit.\n\n",
Cell[BoxData[
GraphicsBox[
TagBox[RasterBox[CompressedData["
1:eJzs3QewHOWd6G1jY68vvuX97u7WunZrd+/13d2yfdk13iWLKAzYgAnGgG3A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