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1:一般模式的BP:
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5 c9 S$ \5 C/ rP=[-1 -1 2 2 ;0 5 0 5];
, R7 R: r; M. ST=[-1 -1 1 1];
1 m# I* O4 Q) J" e4 q; R' bnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingd');
, A3 C( U- A% G5 h, hnet.trainParam.show=50;
& } E4 t: A. A1 _, Pnet.trainParam.lr=0.05;* Y8 t& z9 o* N5 ?! T7 V h
net.trainParam.epochs=300;6 J R7 U2 n# k! X0 b6 [! p
net.trainParam.goal=1e-5* _- M# Y: E1 {9 Q) A2 W
[net tr]=train(net,P,T);( Z! b4 f1 y+ R4 k% }6 ?. Q+ s
$ ?4 Z$ g/ \+ L$ |
2:加入动量的BP
0 T3 ~: @" z( e/ s5 Z1 p, L+ Wclc+ ^; d& @! i/ F
P=[-1 -1 2 2 ;0 5 0 5];: s7 Y$ r5 Z/ a' k
T=[-1 -1 1 1];
9 e# r K9 r& Anet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingdm');
# n( s0 |5 ~3 K0 K3 Anet.trainParam.show=10000;( @5 c/ |6 k9 b$ U" e
net.trainParam.lr=0.05;
) o8 [. P+ u/ Anet.trainParam.mc=0.9;
+ s/ T% e; E+ P2 |net.trainParam.epochs=10000;+ O( P- `3 C0 H; O) j4 Z! h: a& }
net.trainParam.goal=1e-5*100
* K$ B! n+ }& [& X6 i1 N[net tr]=train(net,P,T);9 X% m! m/ L4 U! \
) @: b/ ^) }( j5 H. u1 `7 P
3:自适应LR变步长:
1 s9 L! h9 |7 @9 uclc/ l" @' e7 X" n% g3 K* p$ ^% z
P=[-1 -1 2 2 ;0 5 0 5];0 Y! _9 {& [$ b% X
T=[-1 -1 1 1];
' Z, A* F% H& |0 k6 Hnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingda');
/ s# N+ {' k! h1 X( r. R: l2 f, snet.trainParam.show=10000;5 [ U ^ e& R7 F# ?2 X
net.trainParam.lr=0.05;
]7 ^5 t! Z6 ynet.trainParam.lr_inc=1.05;
1 V) P7 R' `+ l) Y+ Znet.trainParam.epochs=10000;" G. x+ L8 \1 S
net.trainParam.goal=1e-5*100
: B! G# Y# y% q[net tr]=train(net,P,T);; A" j: b" E& V9 f4 K' N
9 q8 W- I1 _3 S1 U3 Q% ^+ [
' @: J3 T/ S$ T: q8 l9 V
4:弹性梯度法
7 l6 A. F# _. M. A" `8 e0 e8 h9 ]clc l) }6 b8 c7 Q: N: e' L3 r
P=[-1 -1 2 2 ;0 5 0 5];) s) U# Y" y& y9 u7 c. b6 R
T=[-1 -1 1 1];" V5 I( ~1 @) r0 ~( y" m2 E
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainrp');
4 N+ n, B8 R: B7 m* G+ enet.trainParam.show=10000;
; I# \3 K( X) p5 B! k: j8 y8 nnet.trainParam.lr=0.05;
+ y! w. `9 a' q e9 Rnet.trainParam.lr_inc=1.05;$ {' c4 Y7 C. |/ J; N5 e% O
net.trainParam.epochs=10000;
0 b& z5 g0 _6 F; K- @4 e- s/ P7 anet.trainParam.goal=1e-5*1007 c& ~" z' O5 y( `3 U6 O' |
[net tr]=train(net,P,T);/ j+ F E9 o q' X
( |; Q& \+ Q/ Y9 s3 l$ M, m5:共轭梯度10 ~7 l5 R% t, ?; x1 d
clc) s8 B# ]! b; e5 `) r" b+ L# F
P=[-1 -1 2 2 ;0 5 0 5];# r) S6 H% _# H) h1 @9 ~
T=[-1 -1 1 1];
" s& x' c. H! \; U0 T! N! Vnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgf');
j' V$ W" m; h1 y t. i' z4 V( N9 vnet.trainParam.show=10000;5 c! v2 O; i% c4 u! b
net.trainParam.lr=0.05;8 X S5 `6 \% X7 O5 S, T6 u$ G8 {9 `
net.trainParam.lr_inc=1.05;5 v, A5 m& O9 k- M) j# _( V
net.trainParam.epochs=10000;
) \3 Z8 b5 v3 A7 p1 p/ snet.trainParam.goal=1e-5*100
7 x, w8 V7 b w7 ^2 }# A. j[net tr]=train(net,P,T);, Z& ]8 ] x9 G$ P% [
+ C9 H; U \8 j r( A* g ~5 g/ t- F
6:共轭梯度2
- j3 b4 h0 W, e8 ]- j. J& Oclc
- A# M. n9 f4 c+ v' p" wP=[-1 -1 2 2 ;0 5 0 5];/ A3 ?6 [* v$ H7 A9 R
T=[-1 -1 1 1];4 u! t3 f9 V* W
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgp');
* j0 }6 A; q R2 R2 B" E- fnet.trainParam.show=10000;# J- x, F8 F# D/ T, T9 |$ [
net.trainParam.lr=0.05;, W3 m7 w) M* T& y
net.trainParam.lr_inc=1.05;
% j2 ~* @" w: unet.trainParam.epochs=10000;/ o4 J) M. V* X" P* W% `! {
net.trainParam.goal=1e-5*100
- K1 F. N P, k/ C: @, V[net tr]=train(net,P,T);
1 ]2 v# y- [) p% w1 r# W. X/ y6 l5 l# V! u! i9 c' ?& v8 D
7:共轭梯度3
$ B/ l3 Q4 j0 mclc& Z, n* S5 K0 n$ G- z0 i
P=[-1 -1 2 2 ;0 5 0 5];9 }8 D6 ?6 h8 O Q. `
T=[-1 -1 1 1];# L3 X' F2 b3 `, E6 ^+ Y- s- y
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb');
w- R/ Z5 ~+ {9 d' Pnet.trainParam.show=10000;
4 I/ q% H5 `3 ~) o2 B& V" Snet.trainParam.lr=0.05; @, @7 I( j! n9 ^- H
net.trainParam.lr_inc=1.05;
9 B# V- t- G" M! ]7 K2 L' M/ mnet.trainParam.epochs=10000;
( E* C1 n4 g6 Y6 r) G4 a% knet.trainParam.goal=1e-5*1002 c" ^4 u1 a0 @* F
[net tr]=train(net,P,T);5 w' q. p, `8 }4 Y+ W) @: J N
& e) k; s8 l4 _" S: m- x( m5 p
8:共轭梯度4
( r* P+ l( q; [6 l3 t1 W+ G! T9 hclc
+ |5 w6 t/ |8 H# r. F; u: GP=[-1 -1 2 2 ;0 5 0 5];0 n2 i# C" n9 H7 A3 f0 w
T=[-1 -1 1 1];7 o- s9 g1 D+ L8 J3 ]# f1 i
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb');% @6 ^# _/ q, g
net.trainParam.show=10000;
9 S& {! J; |3 A4 p6 E: Bnet.trainParam.lr=0.05;
4 j% s: o. d% o; ?, i" U9 _net.trainParam.lr_inc=1.05;
2 I( _$ b) w, n$ M& c3 Y8 Pnet.trainParam.epochs=10000;
6 Z; ^7 W& S1 z( R0 \net.trainParam.goal=1e-5*1002 `! g# N/ Q B3 ~
[net tr]=train(net,P,T);
2 s5 U# x& V% }# o, i0 w( P$ X2 G
9:拟牛顿法;
! p0 M( c" b% m$ y% s: Oclc
" k0 L. _( ]. N" z5 g" O* U0 NP=[-1 -1 2 2 ;0 5 0 5];& p* L7 f# j% D( I. M1 e
T=[-1 -1 1 1];
! a" Q: o9 D& x0 K7 R9 ] ?6 Znet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainbfg');6 l+ Q" W/ ]; {( X7 _- B4 Q1 e
net.trainParam.show=10000;
5 S! ]7 a/ u% b: {$ z Tnet.trainParam.lr=0.05;1 \% f; Y# o% a5 }
net.trainParam.lr_inc=1.05;, D5 S8 A3 o5 I# d" w2 C
net.trainParam.epochs=10000;( l2 t3 e: ^; w$ B: x' Q
net.trainParam.goal=1e-5*1002 G1 C2 T: Z+ i0 K. V
[net tr]=train(net,P,T);1 r1 C8 @; K& v, f# k$ R
2 a9 M, k3 Y8 E3 `- V10:一步正割
2 O3 l7 [0 W1 j+ B! Nclc
4 K2 X/ {& f$ ?6 v( I6 S3 \P=[-1 -1 2 2 ;0 5 0 5];/ c, i% x. ]) G5 q1 [2 P
T=[-1 -1 1 1];* A1 J+ N, u% ~- }2 D
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainoss');0 ^ H/ ?5 Z/ S/ ^' h+ l
net.trainParam.show=10000;& O+ `4 p: L0 j* A+ J
net.trainParam.lr=0.05;
. n7 @* ?. O t/ H- Onet.trainParam.lr_inc=1.05;4 O! A5 W, e1 q% [& x6 Y: u
net.trainParam.epochs=10000;
# v5 M8 L. e4 G9 C3 ]$ z2 c* lnet.trainParam.goal=1e-5*100/ a( G' }1 \2 y E( Z6 X! t1 }
[net tr]=train(net,P,T);
0 Z/ Q: b6 z) i# w
" h. Q8 u& A& i, a5 _11:levenberg-marquarat:
( b, l4 w8 R0 U/ C& s+ oclc U, C' D. [/ z/ N
P=[-1 -1 2 2 ;0 5 0 5];
C" l* {4 M$ c9 y- ~T=[-1 -1 1 1];
# I9 ~' [$ Y$ l( [; A# }6 lnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainlm');2 o0 w* d( W3 [( M8 Y$ h) P. r) L
net.trainParam.show=10000;! c; A7 d# C `, i0 w F
net.trainParam.lr=0.05;
) ~7 l N- D' j* knet.trainParam.lr_inc=1.05;# e* m- `2 c. v% Y" X
net.trainParam.epochs=10000;
" F/ D' L% ?9 lnet.trainParam.goal=1e-5*1001 Z" j3 F& [" _/ Q7 n) J1 h" Y( f- e
[net tr]=train(net,P,T);
+ `# l. C( F q$ f8 X# @
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