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升级   40% 该用户从未签到 - 自我介绍
- 程序猿
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利用BP网络训练加法,代码如下,我是按照书上的公式敲的代码。对于最终的实验结果,有的结果还行,有的结果误差太多了,有人能帮我看看怎么回事吗?万分感谢!
1 z: u- N1 Q3 {# m: L8 | lps:不要吐槽语言。我知道这是c c++杂交体。 - #include <stdio.h>
- 5 l3 _+ o& u: y4 E. p2 V# I( O, g#include <time.h>
- * l) D, j: p' M6 Q. t& E\" O( q0 j#include <math.h>6 f: q8 g) O. V B
- #include <stdlib.h>8 j4 B4 G) Q% B
- #include <iostream>6 f0 s/ E) h% T' |
- using namespace std;
- ) v8 p% |% w) ^6 i' M( p#define DATA 8001 p9 }# f2 B8 G1 {2 ^
- #define IN 2
- ) _4 ^& J\" w [; Y#define OUT 1
- ' R) R1 V7 W0 f% K- |: W) q7 ~+ ^/ y#define NEURON 45
- ; j$ A) C1 _7 `#define TRAINC 20000+ L8 H' u1 `3 V
- 4 t8 j5 F7 W2 ]' X4 U! g
- double Fx(double x)$ t: q, ]' P! j1 [\" H+ l2 J8 b
- {! C' h! J Q3 K: P1 ?: j
- return 1 / (1 + exp(-1 * x));& I: j6 }- A2 e4 V) H
- }& G% Y6 Z3 Q( g: d4 B
- //La输入层 Lb隐藏层 Lc输出层+ s% g( W: \6 d- k! q9 E8 ^. K9 l
- //样本输入\" R* f' z$ T* e
- double La[DATA][IN];, M/ v, K3 d7 W( Z0 o a
- //样本输出
- 5 H9 h6 x+ T3 X& r1 o: {double Lc[DATA][OUT];
- \" J7 n2 R' ~* o5 i0 ~//La->Lb权重
- ( I! ^1 T8 E4 ^2 idouble Wab[NEURON][IN];8 R1 w3 [6 O! b3 K. a6 ~7 \/ e
- //Lb->Lc权重# x4 r2 |, I5 e2 C9 A2 @
- double Wbc[OUT][NEURON];$ v5 m$ i) }4 B4 i2 t8 {$ g
- //样本输入每个向量的最小值,最大值;输出...
- 2 J3 ~- V1 p$ m/ | _double MaxIn[IN], MaxOut[OUT], MinIn[IN], MinOut[OUT];+ w7 o7 r6 a- u7 p/ B: t
- % p# }' i& u$ w0 \( P9 s0 e+ v6 U
- //Lb层输出' [+ N# _ S* f( y
- double LbOut[NEURON]; Z\" X( x2 r7 m! E8 Z
- //Lc层输出
- & R; m3 @\" g5 wdouble LcOut[OUT];/ B1 U ^# U$ H
-
- 2 \( g- L: [% ~( i3 F- n//Lc层单元的一般化误差4 a5 r# R- H, z: g
- double Dc[OUT];
- 3 s4 Z' p9 f/ n4 o//Lb层单元的一般化误差, e( t' ~. Y, h L- Z\" y
- double Db[NEURON];
- % w; R9 g6 v6 L& q% t$ U \" R* F/ n5 g+ Y1 ?7 @; h3 M3 L
- //设置样本数据2 F2 {' i, m6 a) A: {2 v
- void setSample(), h2 w6 ~+ K! M; k6 }* g a
- {5 c8 I\" k9 U6 Z7 Q\" z
- srand((unsigned)time(NULL));
- ( o* T5 e( S6 J7 [ F\" f\" @ ^( n int i, j;* u7 B1 Q0 A4 T
- for (i = 0; i < DATA; i++)
- & l9 @+ D m2 @7 V) B- u9 ?1 v3 X& { {
- % x0 ^) x9 ~( A5 x2 P for (j = 0; j < IN; j++)+ |/ H6 u. O1 m: d U' D
- {7 W) |- m4 o* j; K7 Z5 p8 }
- La[j] = rand() % 1000 / 10.0;7 D0 o P\" \% c4 Y
- }0 @4 Y: A) v9 t0 Z/ P
-
- . o& |* e% S7 j( r& q6 w; F# l for (j = 0; j < OUT; j++)
- ( w7 p7 v2 c$ Z! g( S Lc[j] = La[0] + La[1];) P1 f7 H# X2 s: x% m
- }% b1 p( J4 V. W5 d5 X v# G
- }
- + u: @$ ]. @! U/ j//初始化BP网络:权重,阈值(隐含节点+输出节点)
- * h0 b9 ^, E9 i9 @void initNet()
- , c% ~5 z5 p5 w{
- 9 m7 E: d1 s, }. l+ T srand((unsigned)time(NULL));
- \" x# U\" P2 P6 W& Z$ {% s1 } //两部分的权值设置随机值【-1,1】% v$ W9 |( a# q\" [* h
- int i, j;
- 8 r6 g; K4 ]. D3 G, O8 g for (i = 0; i < NEURON; i++)6 H4 f j/ I. u( k\" t4 \2 y\" S
- for (j = 0; j < IN; j++)
- 0 p1 D, a( M9 ~9 l& U. M {1 a9 r\" ?' ?8 n9 N N
- Wab[j] = rand()*2.0 / RAND_MAX - 1 ;$ D, K, f- x6 H8 a, D\" c
- Wab[j] /= 20;; y5 q6 {& B0 K: b# } F5 f6 g4 n
- }
- % m, i v% P* `, y a z\" T0 \3 R ) C% u8 S0 d8 D1 y0 l- U1 @
- for (i = 0; i < OUT; i++)
- 5 `! h4 _4 y# }. c# R for (j = 0; j < NEURON; j++)
- ! C- v% t7 h2 ` {
- ; U4 m5 G+ U- b; e) f! O: g& R Wbc[j] = rand()*2.0 / RAND_MAX - 1;
- * t: v) z1 D+ s+ F9 s6 X Wbc[j] /= 20;
- ' i# h2 n- e: @7 t) h }
- & ]1 \\" s: _1 o
- ' f+ D# A6 y- O/ X$ s //找出每个向量最小最大值,并进行归一化: [/ `; [* i: v0 c; ]3 u
- for (i = 0; i < IN; i++)
- : Z- \6 ]1 b2 y# [4 P1 @ {
- 3 t$ i! d9 B9 y* X0 @+ G
- : s2 C% y- h0 z* Q MinIn = MaxIn = La[0];% o! _) Z( \6 ?
- for (j = 0; j < DATA; j++), Q8 J$ I$ A, M! v1 n
- {1 I& s) A\" n% ]9 R9 x
- if (MinIn > La[j])/ U/ H4 E. Y) n\" H8 K# B9 D
- MinIn = La[j];
- 6 T4 Z# r+ q\" J4 K9 y. h if (MaxIn < La[j])
- ( s9 N6 o& L- q+ @' G! { MaxIn = La[j];
- ' D4 d6 C! U+ }2 I' S* ]4 d1 U' j( f }
- 5 K% g% S1 J3 }, W. L2 ^: B 7 x/ Q( P# [. O% s4 B2 M I# M
-
- , s& g! b' _# R- p; a7 \ }
- 2 U% X3 V\" o: n2 ]6 D. o. Y( T) x ) [; V# ~9 `$ g1 d4 e) H4 K, A
- for (i = 0; i < OUT; i++)
- 1 h$ d' ?% |6 k* D {1 w8 f* K9 r! s# m) a\" e( m
-
- % g+ I! F6 l$ ]5 h6 u MinOut = MaxOut = Lc[0];
- ' L3 e8 L$ c; R) A! u+ g8 M( j; ? for (j = 0; j < DATA; j++)
- $ m; j. I& a j' ~! u K {
- : ~; b2 U\" ? g if (MinOut > Lc[j])
- 1 c- M( q( |6 ^, @8 } MinOut = Lc[j];1 w/ X8 u; m; p0 C% l0 { S
- if (MaxOut < Lc[j])
- 0 y9 e. H) D; Y# Y MaxOut = Lc[j];
- - j+ w2 ~9 h, S8 M/ s }7 G/ Y8 l# W$ ^ f3 S
- 9 j! c& y* X# }
- }
- ) Q+ Z% x; c3 D+ @9 H + q8 N+ i* K+ K\" j, [9 O B( L1 }
- //归一化4 M9 k4 ]/ ?' v; K# u1 Y
- for (i = 0; i < IN; i++)
- * r+ t5 a\" i5 g0 ^# \- X- o for (j = 0; j < DATA; j++)9 R& l. P. V2 `# d8 P! E5 J( M
- La[j] = (La[j] - MinIn + 1) / (MaxIn - MinIn + 1);
- 3 s- ?9 |) W$ s+ Z
- & T6 k1 V8 s6 X+ q+ e7 w' W
- , V) G# t- ]! `( r ~; b4 e for (i = 0; i < OUT; i++)
- & {. w\" h; f; C0 H' c4 U& J; e* @ for (j = 0; j < DATA; j++)- m7 L! B. `- c- O+ G
- Lc[j] = (Lc[j] - MinOut + 1) / (MaxOut - MinOut + 1);
- ( l6 `& r6 S2 \- F0 s+ F \" c# O5 V) A! L9 I
- 1 U! {9 N6 o' n9 G& U
- * t6 `/ a) D2 ?3 ~7 Q) N* M' G
- } C- \# i, w3 O' }. f
- void getActiveVal(int dataIndex)) Z0 O& Y2 S* Z1 R& b9 C5 k
- {
- . o% X+ O' ?9 T/ s! ? int i, j;
- / E1 W* l t. V( @. L double sum;% n# ~5 X W* ~+ H% `( X9 z
- for (i = 0; i < NEURON; i++)\" s8 u+ f/ `1 z& t2 T- k
- {5 {6 t4 F2 }$ Y% h; `
- sum = 0;
- 9 W: h3 q( y( h6 ?8 h, _# e5 D for (j = 0; j < IN; j++)% L. M& ?+ M6 _
- sum += Wab[j] * La[dataIndex][j];
- 0 u6 B( J/ o\" U: v( V
- 7 f+ t5 `6 N% K' [% | LbOut = Fx(sum);$ B. c\" ~9 [. y1 y8 `0 e6 ^0 y$ F
-
- ) A: M8 q2 V# p }( m( S3 f2 B$ B) d# r* B/ r
- / M% o1 {\" Y6 ]) b& `\" d
- for (i = 0; i < OUT; i++)
- / A% W$ J0 W) `( k/ B, F) U {
- . S8 ~6 t2 n+ x& Y sum = 0;
- ! ?( r [5 X' `0 A$ R for (j = 0; j < NEURON; j++)
- 8 C9 ` s8 ?* Z+ A/ ?7 j sum += Wbc[j] * LbOut[j];
- / x+ {& d: E+ V& F
- \" G$ i' E* j( B4 h- i LcOut = Fx(sum);5 @9 x w, j( D\" c3 n\" L
- }
- 9 M. x- C7 b: Y& P& E}, e: y# q% m' W1 u. d* F
- void backUp(int dataIndex)
- ! c( b; x6 ^ V; J# t\" ~# r, i{* e4 L* b- ~2 |\" e& J: W! r1 L ?
- int i, j;6 s* y\" s\" l2 b0 r\" `
- double sum = 0;. A\" i# w) E* _. A) B; r
- //Lc层单元的一般化误差, `# R3 F2 D0 ^* ?
- for (i = 0; i < OUT; i++)3 j\" T/ S4 j' G2 ]$ X
- Dc = LcOut * (1 - LcOut)*(Lc[dataIndex] - LcOut);0 a1 y. T* J% U; N- q
-
- , S( e4 [4 [3 v8 B1 E# e% U1 }; ?5 d //Lb层单元的一般化误差
- ( ?9 K1 H$ N3 i6 o, L9 d+ n for (i = 0; i < NEURON; i++)
- 0 R+ [3 I1 T6 K\" |; Y {0 `) F: u/ J: G. r
- sum = 0;' @- v8 k& q' w( |# Z' ?
- for (j = 0; j < OUT; j++): |+ @% W. f/ c, C/ I7 n- G
- {
- 6 t- E! t5 J1 q' C+ w9 ~3 y1 k+ e sum += Wbc[j] * Dc[j];: x0 d3 Y+ [; Y) |6 I
- }3 j) e: x) ^8 o( {& a) ~
- Db = LbOut * (1 - LbOut) * sum;8 h9 U: D* i0 d7 m* z; }
- }8 m6 R( t4 |* ]. ?
-
- . f* }# [& @2 f4 u: L double beta1 = 0.08, beta2 = 0.1;
- - w$ J, P( O# E: f( h) M 5 O; w; q( M- n8 W9 S6 n1 J
- for (i = 0; i < OUT; i++); D1 G! a5 m) ?/ d6 D/ d
- for (j = 0; j < NEURON; j++)
- # U5 d5 [9 I4 w- {3 Q' H( f Wbc[j] += beta1*LbOut[j] * Dc;- D5 Q. R; T7 U6 q4 i! U8 R* ]
-
- ( Z) R5 ?$ F* t% B for (i = 0; i < NEURON; i++)0 {0 w' I3 M$ i/ ?7 k+ b* v
- for (j = 0; j < IN; j++)
- ( I6 a( k% I/ Z# R9 K& p Wab[j] += beta2*Db * La[dataIndex][j];# A4 R' Z( M9 _: d' h) e
- 6 o& @/ \. C0 n, O L
- 1 R/ [8 _3 h3 `, C* ^3 k6 [0 r
-
- u4 y4 v7 w3 }' \8 |0 F0 l}4 Y+ E$ t+ u# s( V0 D4 I\" W
- ' T1 V0 @4 ]0 s5 P
- double result(double d1, double d2)3 |, v& O2 N5 `/ r3 L
- {
- 0 @ R6 y\" c$ W6 C/ e. S7 G* M3 A int i, j;0 z3 i# w: Z: M! K/ }\" r
- double sum;9 _( G' I! ^9 E t1 u% x J5 U5 I
- d1 = (d1 - MinIn[0] + 1) / (MaxIn[0] - MinIn[0] + 1);;
- 0 n\" s- g: T! W d2 = (d2 - MinIn[1] + 1) / (MaxIn[1] - MinIn[1] + 1);7 R% I1 Z; B( Z, F
- ) U9 h* W K! f7 E: ]
- for (i = 0; i < NEURON; i++)3 j) P. ~\" Z0 X7 K/ S8 W
- {
- + h$ M. i3 L, F sum = 0;
- % _/ a& X# k9 h/ q p7 | sum = Wab[0] * d1 + Wab[1] * d2 ;
- 2 P& v- o9 r, }$ }4 k0 | LbOut= Fx(sum);
- ; Y5 F# R5 [: ?1 ~- H }
- 4 W/ g3 t& Y6 ]. m
- 2 @. H! ]: ]% K0 | h1 }\" @/ } sum = 0;$ }$ I4 |( S/ a9 L
- for (j = 0; j < NEURON; j++)\" X\" V0 N* K6 g9 F
- sum += Wbc[0][j] * LbOut[j];/ q; Y Z/ u7 N+ j
- & ^9 c% N- f& ~4 @+ G0 F6 ?\" O
- LcOut[0] = Fx(sum);: U6 x8 P( d- c
- \" W8 O& z1 w1 w- r k9 {1 |, K
- return LcOut[0] * (MaxOut[0] - MinOut[0] + 1) + MinOut[0] + 1;9 T: k$ q0 {5 G* [ I: c( o
- |% R$ v4 N- e; ^+ ~
- , q& Y3 C1 E, t, S; g' {
- }
- 0 }* @: p v4 J! a\" t% U2 hvoid train()
- % p( Y! a, v+ u# r- \\" }{
- 5 P& [& }1 Y5 ? int i, j, no = 0;
- $ e% j0 {2 p* U3 v9 j0 V+ P double e = 0;
- * g9 @6 b d- {1 W$ r2 y do{3 R1 I3 q9 n: J5 u% {
- e = 0;
- ' m+ K9 B8 N1 B7 S | n for (i = 0; i < DATA; i++) f! H5 [' u: V, l0 I1 z8 }
- {\" Z, ?% J3 s# ]\" y: }2 u
- getActiveVal(i);
- 8 x0 P\" W! ?1 o4 A5 W% V5 L backUp(i);
- 8 i( X# a/ i, u2 a. G e += 0.5*pow((LcOut[0] - Lc[0]), 2);/ \( Q) @6 t0 S; K. Z/ V1 Z
- }
- . E* R4 B1 f4 A }& g( P4 b/ A 1 ~$ D: `! k1 T |6 D
- cout << no << " " << e << endl;
- . S/ f1 J: j. E7 S* u no++;
- ( L& f( h6 X# D8 u } while (no < 1000);* X! Y! x# U! Z9 y U
- 4 s. W% u2 D' }\" J
- 3 h0 ^: O* j+ g\" T$ m2 n
- }
- , |& F8 N3 Q, U5 `2 a . T( M* ?4 a4 [ K8 y
- void main(int argc, char const *argv[])0 e& K5 J0 N: V. F- O G
- {
- : p8 q& H- E\" ]& g* R- @ ; B\" `/ W; B1 g- }! g
- setSample(); D0 K! O9 w\" s2 o7 ~
- initNet();/ `6 W4 m: l$ F( t2 i
- train();6 P: ~7 b\" H0 z( G) ]. P
- double a, b;4 d1 F* s( I# B3 S3 e% j: b
- while (1)
- * {7 P2 ~6 Z\" e {
- 4 j; H' }& S* ?- S cout << "print two numbers" << endl;' E, o3 e' P5 T
- cin >> a >> b;1 {$ h2 f% M/ R
- cout << "result:" << result(a, b) << endl;. g k% V; M, f3 E3 b\" T
- }
- # F/ _. h\" ]+ h( P# J5 ^
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- $ Z5 f( R1 }! ~}
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