2. 2
/ 2σ i2 )
Ri ( x ) = exp( − x − ci i = 1,2, quot; , m ( )
: [7]
i
x n ci
σi RBF
x i
RBF
x − ci
x − ci x ci
’
RBF
RBF
RBF
1 RBF
L
Ri (x) ci RBF
x − ci Ri (x )
8
x ∈ Rn
1
m
RBF
Hardy
8
Multi-Quadric Multi-Quadric Duchon
RBF
RBF
c
¦ wi Ri ( x)
y = F ( x) = i = 1,2, quot;quot; , m
8
i =1
1
RBF
2 N
RBF
RBF RBF
K
x
1
RBF OLS
[5] RBF
RBF
K
RBF 2 x
Kennedy Eberhart 1995 RBF
[6] 3
’ N C
¦ ¦ ( y dj ,i − y j ,i ) 2
J=
i =1 j =1
606
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4. + 0.1* rand ()
/ 2)
j
N i
j
rand ()
y j ,i j
i
@
C
ε
J
ε = 1 5%)
Tmax = 2000
K
5%)
x
max neur = 30
m = 20
3625%) 362
vmax = 2 ω
C1 = 2, C 2 = 2
5%)
ω
m
vmax
ω
C2 ω
max neur
Tmax C1
5%)
ε
5%)
J p = 0.9736 ε 5%)
5%)
t =0
x v
Jp =∞ J g = ( ∞, ! , ∞)
∞ p
g
while (t T max J p ε )
5%) J
for i = 1 : 1 : m
J i J p (i ) J p (i ) = J i pi = xi end if
if
J i J g J g = J i p g = xi end if
if
end for
5%)
for i = 1 : 1 : m
5%)
362
end for
ω1,i (1) b1,i
ω
t = t +1
endwhile
ω i,1 (2)
b2
Jp ε
t = Tmax
ε 5%)
G
5%)
x best
b1,1
w1,1 (1) -0.0675 -5.1148 1.7202
w1,1 (2)
b2 -0.99
w1,2 (1)
RBF w2,1 (2)
b1,2
1.4020 0.8584 0.8424
5%) 69
w3,1 (2)
w1,3 (1)
-1.2511 0.9417 2.1611
b1,3
607
Authorized licensed use limited to: IEEE Xplore. Downloaded on April 7, 2009 at 13:18 from IEEE Xplore. Restrictions apply.
12. 5%)
[6] Kennedy J, Eberhart R C, “Particle swarm optimization,” Proc.
IEEE International Conf. on Neural Networks. Piscataway:
5%)
IEEE, Perth, 1995, pp 1942-1948.
5%)
[7] Eberhart R C, Shi Y, “Particle swarm optimization: developments,
5%)
applications and resources,” Proc. Congress on Evolutionary
Computation. Piscataway: IEEE, Soul, 2001. 81-86
[8] Wang L, Kang Q, Wu Q.D, “Nature-inspired computation:
effective realization of artificial intelligence,” System
362
Engineering Theory and Practice, 2007, 27 (5): 126-13
610
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