Information Technology Reference
In-Depth Information
j
l
j
l
l
y
y
l
w
S
w
w
S
w
f
w
f
w
w
w
(6.14a)
T
T
j
j
j
0
j
0
j
j
l
j
l
ij
y
y
ij
w
S
w
w
S
w
f
w
f
w
w
w
(6.14b)
T
T
j
j
j
§
·
§ ·
ww w
m
S
l
¦
¨ ¸
w ww
l
l
l
c
S
z
z
c
¨
¸
i
j
i
© ¹
©
¹
j
1
(6.14c)
§
·
m
w
Sf
w ww ww
f
l
l
l
¦
z
z
c
¨
¸
i
j
j
j
©
¹
j
1
§ ·
ww w
§
·
m
S
l
¦
¨ ¸
w ww
l
l
l
V
S
z
z
V
¨
¸
i
j
i
© ¹
©
¹
j
1
(6.14d)
§
·
m
w
Sf
w ww ww
f
l
l
l
¦
z
z
V
¨
¸
i
j
j
j
©
¹
j
1
can finally be written as
l
l
w
S
w
f
d
b
(6.15a)
T
0
z
j
j
j
x
ij
l
w
S
w
f
d
b
(6.15b)
T
z
j
j
i
`
^
2
i
ww
S
l
A
2
l
b
l
(6.15c)
c
z
x
c
V
i
i
i
¿
¾
½
¯
®
-
2
3
i
l
i
i
w
S
w
A
2
b
(6.15d)
V
z
x
c
V
i
where,
§
·
m
l
A
f
d
¦
yf
¨
¸
j
j
j
j
©
¹
j
1
(6.15e)
§
·
m
§
n
·
l
l
¦
¦
f
f
¨
T
T
x
¸
d
¨
¸
0
j
ij
i
j
j
j
©
©
¹
¹
j
1
i
1
Using the above results, the final update rules for the networks free parameters can
be written as
l
l
l
k
1
k
K
f
d
b
(6.16a)
T
T
z
0
j
0
j
j
j
x
ij
ij
l
k
1
k
K
f
d
b
(6.16b)
T
T
z
i
j
j
2
^
i
l
k
1
l
k
K
. 2
A
l
l
(6.16c)
c
c
h
x
c
V
i
i
i
i
3
^
2
i
l
k
1
l
k
K
2.
A
hxc
l
l
,
(6.16d)
V
V
V
i
i
i
i
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