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1:一般模式的BP:, `" u6 X3 B4 o- `
clc
4 m7 K" @* O z( t" HP=[-1 -1 2 2 ;0 5 0 5];9 l* }1 a- N' _8 S
T=[-1 -1 1 1];7 K# C- m% F- _% ^: A" J; e5 d
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingd');3 z* a) L3 A/ j3 D2 }
net.trainParam.show=50;
5 E% ~% l2 a; @1 a; b* f4 w) snet.trainParam.lr=0.05;& ?4 S% q6 B' ]2 [6 B* D
net.trainParam.epochs=300;
- i2 Z. P0 G" cnet.trainParam.goal=1e-5/ B3 ^" y8 {% s
[net tr]=train(net,P,T);6 `" B7 N; W, _- L; N' L1 y
) e- d5 ]1 ~5 X: D' U- q
2:加入动量的BP
7 p, _) ?1 N F: e% O4 qclc2 ~# J1 C* A: s9 F
P=[-1 -1 2 2 ;0 5 0 5];% C, g7 D6 g% }8 h! Y
T=[-1 -1 1 1];, j3 V! [/ l* `* z! @
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingdm');
" p6 U' ^3 ~/ ?4 @: q1 U) L+ dnet.trainParam.show=10000;
+ ^/ G1 @ T# U8 wnet.trainParam.lr=0.05;. y) o1 h+ z2 i. ?
net.trainParam.mc=0.9;1 u; p/ f$ a. k2 H0 M2 {' K
net.trainParam.epochs=10000;4 D: E& K1 e5 Y7 x% @& N$ \! h
net.trainParam.goal=1e-5*100
5 y/ t$ v: s7 H5 P[net tr]=train(net,P,T);
! t8 N5 u' o! F# O3 R) A% z' R% s" p
: |* b# z$ A3 `9 ~. T! |8 @3:自适应LR变步长:/ X4 `8 j9 t% V5 [: ~6 V
clc e2 \* \" C( T" z' e
P=[-1 -1 2 2 ;0 5 0 5];
& T" X1 n9 Z, i. e- wT=[-1 -1 1 1];
3 y* F& Y0 R" [+ l' ]. p( a& I6 R- g1 ~0 nnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingda');, ?6 |0 I2 ?% {& q- l4 ]
net.trainParam.show=10000;
M: K: p9 K& b* q: O* b! H6 pnet.trainParam.lr=0.05;
. W0 g/ q8 C( C# v: cnet.trainParam.lr_inc=1.05;7 w" r5 d8 n/ V' p% c0 O
net.trainParam.epochs=10000;
/ Y0 `9 Z4 C9 Q. k1 c+ _# n W) pnet.trainParam.goal=1e-5*100& u0 a2 A, E0 Q1 I1 C# s$ D
[net tr]=train(net,P,T);
8 L4 L5 z M1 |6 _
) d" c4 h" z( M: z1 R$ T* E- U0 w2 m3 l* Z
4:弹性梯度法
' e9 x, H/ B& {- @! Q0 ]clc
5 P4 q2 m9 D' o# Z4 A/ yP=[-1 -1 2 2 ;0 5 0 5];
6 P9 Z) P* J8 hT=[-1 -1 1 1];
& ?+ X) p2 P) R0 S1 p! B* A3 [# _0 {net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainrp');# g4 A- h' ^0 n8 K5 R
net.trainParam.show=10000;
: h# p# G0 O& k7 T9 L: Unet.trainParam.lr=0.05; y8 Y. x7 z, k* G0 W; r2 M
net.trainParam.lr_inc=1.05;
0 }# ]! n: D( ~+ x5 tnet.trainParam.epochs=10000;' l8 R" V& e% s T: _
net.trainParam.goal=1e-5*100
) {. n: ]4 P) m4 w( j/ E r' K[net tr]=train(net,P,T);
8 J- \0 O1 P$ g6 `" z r" S2 Y1 P
5:共轭梯度1
( X* Q4 ?6 B, \; ^clc
, x$ g* A' K1 w2 k8 L- PP=[-1 -1 2 2 ;0 5 0 5];
" B) f2 W, s. M7 N3 b7 b/ ET=[-1 -1 1 1];
, m' \5 ?$ @* ^1 dnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgf');
' O4 M; Z; V, L0 enet.trainParam.show=10000;$ _0 s! R, k! h) d
net.trainParam.lr=0.05;$ b' O S4 z6 | Y
net.trainParam.lr_inc=1.05;
2 P& E4 M, d. r snet.trainParam.epochs=10000;
, `: P! v- A3 ]8 ^/ ^: H4 Onet.trainParam.goal=1e-5*100
* G! |1 k: o1 o/ S' |% K[net tr]=train(net,P,T);
2 V, Z: E4 b; h ^3 N* X; o* f4 t0 g; @" D+ [( k. `1 c: w7 x0 {
6:共轭梯度2. `( v( y L( }
clc5 _: A4 w! n8 [) x3 m9 A/ Q
P=[-1 -1 2 2 ;0 5 0 5];: \# F* y9 H+ `% Y8 G
T=[-1 -1 1 1];* l1 J; X, n2 b9 T! U# M
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgp');5 t9 Z( J- ^9 t Y/ k. m( r+ T
net.trainParam.show=10000;6 j @5 U; m: F$ w; o5 X: a
net.trainParam.lr=0.05;
& G+ ?! G2 P7 J6 T9 }6 j$ R; vnet.trainParam.lr_inc=1.05;
9 ~/ P/ L4 z# j8 |9 A Qnet.trainParam.epochs=10000;! y: p8 x8 k+ _0 u& P
net.trainParam.goal=1e-5*100
" S2 E# x: [6 _6 t( o, [8 Q& l# o& ~[net tr]=train(net,P,T);
0 ?0 `) w9 d6 i# S9 D6 J* o. K
9 }% {3 L! f: n d$ l/ a/ O7:共轭梯度30 L* F# L7 A2 p. \4 f: ?( |5 H
clc b' J% L$ ]8 m# a6 [% ?
P=[-1 -1 2 2 ;0 5 0 5];; X& _% J( W2 |5 q g8 d! L$ i! k5 `9 }
T=[-1 -1 1 1];
) {8 f. ], D% g$ B# \' V- Gnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb');
6 r! n- {% u3 N0 u8 x. lnet.trainParam.show=10000;& m0 K+ i& O% m6 I2 g
net.trainParam.lr=0.05;
+ }. k+ F7 h- e; vnet.trainParam.lr_inc=1.05;# |* D( F9 j# m* {
net.trainParam.epochs=10000;9 y* c, w z" p) ]- [ _' R
net.trainParam.goal=1e-5*100( I/ l$ Y1 F3 `( P6 O( ~+ f; F
[net tr]=train(net,P,T);" o7 J& `1 M$ F7 e7 c3 g
% J, U/ c, n! Y! @) Q
8:共轭梯度4- f+ `1 O, G- l
clc( P* j' |/ H+ G6 _" e+ H
P=[-1 -1 2 2 ;0 5 0 5];
0 c$ X1 e, _, q0 k1 w uT=[-1 -1 1 1];+ H1 N! G( n( }1 z5 g3 t- m
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb');9 B8 N3 d) p" l6 J- I+ e
net.trainParam.show=10000;- n4 A, d5 n6 G- g3 l6 s
net.trainParam.lr=0.05;
" {6 a" B% H, s; `2 D Dnet.trainParam.lr_inc=1.05;
7 F/ }& r* j! Q5 m, `net.trainParam.epochs=10000;! C7 y8 b K5 K4 B6 ^. P
net.trainParam.goal=1e-5*100
+ _3 Q) q( x3 {' s[net tr]=train(net,P,T);
1 ?6 n% k. @2 M8 C- M$ p- n! |; t# _& j# U9 @# X6 v* y9 _ A9 ~
9:拟牛顿法;& q; n0 q) G9 ?8 d- z
clc
( P }2 c! f. B- gP=[-1 -1 2 2 ;0 5 0 5];
* j! j& z( b. JT=[-1 -1 1 1];
# Q. o" Z% r7 ?, C5 ~net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainbfg');
( b& U0 k8 N7 mnet.trainParam.show=10000;! L7 `9 I/ w1 r7 k
net.trainParam.lr=0.05;" ~9 I$ T- @9 S" ^( A
net.trainParam.lr_inc=1.05;
. k x. U7 o7 {9 W0 G: A" xnet.trainParam.epochs=10000;5 O* Y5 y3 z2 J4 |- }; F! E
net.trainParam.goal=1e-5*100
. C% | @, e- U* H1 O+ _[net tr]=train(net,P,T);( e! b. u9 o1 N+ u; v& }
, i5 B4 a l+ X+ D) X' {2 R2 F6 @3 o10:一步正割
1 P0 T5 K" m' h8 z3 D9 Bclc
, O8 F4 \8 L) E4 C; K+ dP=[-1 -1 2 2 ;0 5 0 5];
% a9 r; u8 i: e& A) {, z& jT=[-1 -1 1 1];
% S6 _' o- @% O, Nnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainoss');+ R, F4 N+ v+ K3 e( j7 t
net.trainParam.show=10000;
9 Y1 _- n/ S! w/ o* R6 [# znet.trainParam.lr=0.05;
9 G" D: X$ c z- s7 p/ p9 unet.trainParam.lr_inc=1.05;
7 i1 s4 `. X9 lnet.trainParam.epochs=10000;8 r) I7 b& E" q6 D" u4 X
net.trainParam.goal=1e-5*100
8 o- X W: V! A1 H4 @* |2 U t[net tr]=train(net,P,T);
# D. g3 F* F1 V0 y" E# v+ o
, Q9 }2 U, A- f3 f11:levenberg-marquarat:+ t" s3 n) m+ E3 _/ U6 z4 p
clc
& v$ f3 Z" r. P/ l2 |% R; _+ J$ ~P=[-1 -1 2 2 ;0 5 0 5];6 v( C6 v! v E6 O
T=[-1 -1 1 1];
; P7 W9 N* t8 C5 ]$ J3 u6 o) Cnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainlm');( k% j N& h) `! G0 N/ r6 A
net.trainParam.show=10000;8 u: q- i! x+ r$ n7 y
net.trainParam.lr=0.05; Q6 n* y/ O; z1 T* |
net.trainParam.lr_inc=1.05;% r% A2 K/ o( u% v2 I+ A! y( U. p, r
net.trainParam.epochs=10000;2 R: d8 {8 p! y" ?% o" t
net.trainParam.goal=1e-5*100
/ y! r9 K" h: q3 _8 v5 U8 i# l: h[net tr]=train(net,P,T);2 e$ j+ }( B" w' Q J$ R
* K0 R* u3 F3 K+ r
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