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b[\{~¤PyEPzgyE WDEI\]QYO8^WDEILRF QY_Ka ¾ ±¸ ±¸¼tb
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CMmKaSH)ZSa ?O8LiCEINPO8LRH)ZkO8^ O8WDe EIWDEIQYO8^ ²¡· ²~¸ ¾ ~¹¸ E~¹t~»E
KU{~}{~\vf{~ {z ± t² KU{~}+ ¯|k{~\f{~ {z ä \ ± t² ¾ :{g \~:{¡I E
PS{¾P f{vEz}ES{~EzsCP/bbzZPS{~ EzI PyFz H[PzP\{~ C\zE CMmKaSH)ZkO ±¼t F± E · ¾ · ['± [·t¼»E
±¼
Average Direct Attraction Basins (n=300)
0.14
Radius (Hamming/n)
0.12
0.1
0.08
0.06
0.04
Pseudo inverse
0.02
Hebb rule
0
0
New rule
20
40
No. of stored patterns
±
60
80
% of points attracted
Hebb rule
New rule
100
100
80
80
m/n=0.06
60
40
40
20
20
0
0
0.1
0.2
0.3
m/n=0.08
60
0.4
0
0.5
0
0.1
0.2
0.3
0.4
0.5
n = 150
% of points attracted
100
100
80
80
m/n=0.08
60
60
40
40
20
20
0
0
0.1
0.2
0.3
0.4
radius (Hamming/n)
0
0.5
²~»
m/n=0.23
0
0.1
0.2
0.3
0.4
Radius (Hamming/n)
0.5
Hebb rule (250 neurons)
New rule (250 neurons)
0.25
Skew
0.2
0.25
0.2
m/n=0.08
0.15
0.15
0.1
0.1
0.05
0.05
0
0
0
0
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
²b±
m/n=0.22
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
No. of patterns
m/n=0.05 (12 patt)
Hebb rule
10
10
8
8
6
6
4
4
2
2
0
0
0.1
0.2
0.3
0
0
0.4
m/n=0.12 (30 patt)
n=250
m/n=0.08 (19 patt)
0.1
0.2
0.3
0.4
m/n=0.22 (55 patt)
60
10
No. of patterns
50
8
40
6
30
4
20
2
10
0
0
No. of patterns
m/n=0.05 (12 patt)
New rule
10
10
8
8
6
6
4
4
2
2
0
0
0.1
0.2
0.3
0
0
0.4
m/n=0.12 (30 patt)
No. of patterns
0
0
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
n=250
10
8
8
6
6
4
4
2
2
0
0
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
²²
m/n=0.08 (19 patt)
0.1
0.2
0.3
0.4
m/n=0.22 (55 patt)
10
0
0
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
0.1
0.2
0.3
0.4
Basin radius (Hamming/n)
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sPPzv\{¡gPzP\
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The basins of attraction of a new Hopfield learning rule

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