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1:一般模式的BP:% y6 c$ |8 m3 _& A0 O$ ~
clc
5 ?$ [8 i: _% f; Z1 X- sP=[-1 -1 2 2 ;0 5 0 5];6 y2 E* w/ B0 U* k
T=[-1 -1 1 1];
2 s: d: K* D- D: Qnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingd');
) z- C1 M: d4 I# v/ qnet.trainParam.show=50;6 I7 _: D% N f- q& a* Q; i8 Q3 w
net.trainParam.lr=0.05;5 Z7 k% ~6 A9 L W: u3 b! \! G
net.trainParam.epochs=300;% o; e, c& o$ H' E
net.trainParam.goal=1e-5
* |$ G( V* a' K! ^0 m. f[net tr]=train(net,P,T);
' b0 I0 c( w4 C" P& j# r
6 X, r& w7 a- R2 J( |2 u4 G2:加入动量的BP+ _1 P C, l3 U4 o
clc0 S4 X0 V+ I0 N8 V) h4 J
P=[-1 -1 2 2 ;0 5 0 5];3 t# P$ s: I. p# \$ X' \
T=[-1 -1 1 1];
% ^8 x- ^$ ~! n( U4 Z- _! Enet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingdm');
" u! F) S( i' ^) M- \: X* e8 dnet.trainParam.show=10000;
. j9 C4 O6 x4 Y. [3 X8 Dnet.trainParam.lr=0.05;% V# ]( ]6 p' w! ]. Y7 s
net.trainParam.mc=0.9;
& x9 T' F5 j9 [/ {* G4 H4 Lnet.trainParam.epochs=10000;
% y& k! S2 q$ Q' P, unet.trainParam.goal=1e-5*100
8 |8 a% H2 N& F X1 ^- C# a' V[net tr]=train(net,P,T);0 C- c, h) |* t" V ^
/ B- K2 [ J4 I
3:自适应LR变步长:- v6 ^1 {. T9 q; o4 `
clc
) Z, S2 X0 ~; P7 R" sP=[-1 -1 2 2 ;0 5 0 5];2 r6 A" z" D6 o* b! V
T=[-1 -1 1 1];6 R4 z; e* t1 h. V4 y! A6 c
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traingda');( w2 T2 q7 _9 S7 g- G9 c5 x; W& k
net.trainParam.show=10000;
$ P% J: B1 w: @& a0 c9 ~5 ~; \net.trainParam.lr=0.05;2 O" U+ M7 T* w' Z# r
net.trainParam.lr_inc=1.05;& Z/ @% Z7 q0 Q% X; w$ g
net.trainParam.epochs=10000;
9 O! U) D! P G- Jnet.trainParam.goal=1e-5*100# ^. w5 J. m8 F; k' @7 l% }* z8 L
[net tr]=train(net,P,T);
# G5 Z+ T) r/ X% b, B- A3 d8 j8 W& t
+ h; v8 I6 {0 F* x: K! |
4:弹性梯度法
& D! P3 h0 ?' Y/ z# ^4 qclc# O" C e+ X# q7 b8 s9 e2 _: C
P=[-1 -1 2 2 ;0 5 0 5];: b! _2 D' ~5 L. v! \3 [
T=[-1 -1 1 1];
' L, @' Q4 p6 }net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainrp');
( X7 r5 }8 `) W6 B4 V/ T6 snet.trainParam.show=10000;
4 B+ K6 H2 n% K- Inet.trainParam.lr=0.05;
5 B& E6 C( y7 ?+ H* \- F7 \" z H! Wnet.trainParam.lr_inc=1.05;# e% c8 y) @' ~9 ]4 t! q
net.trainParam.epochs=10000;
5 }- @7 N/ t$ Y& ~net.trainParam.goal=1e-5*100- b, L, `, a! {7 N7 N& S8 T
[net tr]=train(net,P,T); t1 T7 ^+ a. \* s
- A" Y8 i- r. y; ?' F; x! D5:共轭梯度11 _% {& g/ p; ]. q
clc$ I U# \, N0 N$ _" k+ q* u
P=[-1 -1 2 2 ;0 5 0 5];
4 X% f. y. l- o" v, `T=[-1 -1 1 1];: S2 B7 k. V7 E" v2 o; _1 w
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgf');5 y% X3 r5 i2 z4 R) u
net.trainParam.show=10000;
, P4 T; v5 ` f7 |net.trainParam.lr=0.05;
* k5 F" t& J2 b3 Fnet.trainParam.lr_inc=1.05;9 J# m0 W* S$ U' H6 v5 j
net.trainParam.epochs=10000;9 x+ D+ p& R1 P, E( M- h$ k) ]
net.trainParam.goal=1e-5*1006 L' n* R6 @& s. c6 A/ r
[net tr]=train(net,P,T);, q9 Z9 j; I+ U8 e& }
& I, ~# B% V1 \8 e# b
6:共轭梯度22 C0 P% o6 D$ g. S; T/ V: ~
clc) r8 H) P; ?$ U2 S+ _* g( e1 {! z
P=[-1 -1 2 2 ;0 5 0 5];
1 y1 ]% {) F b2 Z! H9 X5 {T=[-1 -1 1 1];- _, O9 c, ^7 R7 A( ~2 [% }- ~
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgp');! P, P1 {& t! C
net.trainParam.show=10000;
3 E& @6 u8 |5 \: k dnet.trainParam.lr=0.05;
3 ~% X8 F) |8 q ^# jnet.trainParam.lr_inc=1.05;
1 K( L( C2 B: j" r1 u# |- d; ~% I9 ynet.trainParam.epochs=10000;2 K7 W4 t$ o$ S/ Y6 H7 R1 j
net.trainParam.goal=1e-5*1001 f5 Y6 F7 {5 g$ M& R9 k0 r
[net tr]=train(net,P,T);3 r; T/ H0 l9 X }. E5 b& ]" _
/ p; V7 L/ z5 Y) j1 R$ \" E) b" U
7:共轭梯度3" k l4 U+ d3 [- z. w0 h1 l2 e
clc
/ h7 b) x2 \) I3 ^: c) U+ W5 UP=[-1 -1 2 2 ;0 5 0 5];; a5 }1 i8 x6 e, C
T=[-1 -1 1 1];
( ~' J. J9 a+ M' f! F" P6 o3 _net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb');6 T/ u+ q( w+ J: P: H1 ~* Y
net.trainParam.show=10000;7 R' K9 S; U) S2 `! I1 P6 j3 T
net.trainParam.lr=0.05;
, E4 D4 G+ F) n0 Cnet.trainParam.lr_inc=1.05;
1 N1 R6 W& K& a9 k( S. knet.trainParam.epochs=10000;; `3 p' u3 ]) e! V
net.trainParam.goal=1e-5*100+ E+ |! g& O8 Q. Z+ X0 |5 X
[net tr]=train(net,P,T);! r; i( E+ M j: {1 d" K# Y! T. l7 E
; ]. g+ Z s- ? T, ]; d8:共轭梯度4
. d$ v. |6 \& {- `# n1 @2 Jclc/ Y. H1 ^; K3 L2 N
P=[-1 -1 2 2 ;0 5 0 5];- o! I! v% V9 ~9 L" }5 B
T=[-1 -1 1 1];
% B' g2 I( _ t' N; x# Snet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'traincgb'); d' n C q8 ~7 P& [
net.trainParam.show=10000;' Q* D9 i2 E4 e
net.trainParam.lr=0.05;$ I) n! F. _6 l* h% z& L: o9 e
net.trainParam.lr_inc=1.05;
( w5 E5 I# D4 f# p' m3 t1 d/ i8 H% \net.trainParam.epochs=10000;
4 n0 Y* G0 X7 L' i) M+ w: S$ Nnet.trainParam.goal=1e-5*100# `' Y9 o6 q7 j. S$ _1 ]9 t; r6 T* ~" F0 W
[net tr]=train(net,P,T);
: s ^% t# g, U9 [8 R
4 u) n, U8 K& Y* R. M) I9:拟牛顿法;
' M. O* s7 b3 l2 fclc
8 @- X3 J" d* |& n9 vP=[-1 -1 2 2 ;0 5 0 5];
0 y s4 |/ o M: t; UT=[-1 -1 1 1];# n* T9 i/ z& p
net=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainbfg');
; d8 Y) g' z2 x8 P5 |" q6 `net.trainParam.show=10000;( F! n/ ~! {( Z2 x; ]) B
net.trainParam.lr=0.05;7 f% }$ Z! \5 F
net.trainParam.lr_inc=1.05;
6 o4 P) f/ ]; K: wnet.trainParam.epochs=10000;! H: V" x1 ^& C) ~- J: |6 l& \
net.trainParam.goal=1e-5*100
9 N% K# Q2 O6 h6 B' Z[net tr]=train(net,P,T);
^7 F3 C$ s; l1 U
- q/ P* \* k$ G4 ^, j9 a7 m10:一步正割
3 k3 Y6 g' k& o% A* Dclc4 G5 I% I. v) n9 h2 W% ~
P=[-1 -1 2 2 ;0 5 0 5];
$ I# ^- g8 T9 lT=[-1 -1 1 1];
i' \7 w. N1 S' n( @8 Q& b3 L5 Jnet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainoss');
; R& m% M- S N, g) z! ]- M1 Hnet.trainParam.show=10000;
1 T, I% U- V( I+ o6 T0 fnet.trainParam.lr=0.05;
( d$ M, `/ Z, wnet.trainParam.lr_inc=1.05;+ x. y1 _# e% y: P
net.trainParam.epochs=10000;: Y" A X" c" C- y
net.trainParam.goal=1e-5*100# y6 E" ^$ [; M- \1 g- N5 Q( W! ?% \
[net tr]=train(net,P,T);( z& z# W7 ~ c: @: v' P$ c4 n
9 l1 _' Z' H7 Q. D0 H+ X8 {11:levenberg-marquarat:
5 S/ G! H# M g, v' mclc
: ]) |, n* `, ^7 z9 a1 |P=[-1 -1 2 2 ;0 5 0 5];- O# M: Q/ {4 G0 X( b
T=[-1 -1 1 1];
3 Y9 w5 m* e2 u% s3 `+ anet=newff(minmax(P),[3 ,1],{'tansig','purelin'},'trainlm');1 h# Z- Y$ J% v+ u& C1 B
net.trainParam.show=10000;
/ z7 R2 u" B# H. Knet.trainParam.lr=0.05;
8 f1 L. {/ D! Z! ]! B8 c bnet.trainParam.lr_inc=1.05;' I) y4 X# N' k! r
net.trainParam.epochs=10000;4 w$ t9 n5 o; p
net.trainParam.goal=1e-5*100
9 }: s0 a4 t/ e0 [/ {4 G( ~[net tr]=train(net,P,T);
! a; K3 r0 A" @$ m0 ]; ^1 j4 M- M& j0 E- P. E3 a$ g
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