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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!( E. M8 Z/ I9 p3 d# L- K
ps:不要吐槽语言。我知道这是c c++杂交体。 - #include <stdio.h>
- * @1 O! b# \\" p. v. C: ~#include <time.h>& o6 K; s! u+ i/ T* \& s! d
- #include <math.h>/ e, a0 O( D- k/ `5 T) R# m
- #include <stdlib.h>+ b* _% K7 C. j7 N
- #include <iostream>4 e ^: Z0 h5 W H8 S; I
- using namespace std;# P. u: C9 h* T. S$ o1 [6 g+ h% _8 }
- #define DATA 8008 Z6 T$ }- {9 h$ b
- #define IN 2
- - h. ?% \, y\" n p- U) j; e) _#define OUT 1
- 7 ?9 g3 y* R1 X0 R#define NEURON 45. i$ y! y7 k* \, r ]# e. n
- #define TRAINC 20000, W6 [' }5 c r6 G. I/ U
-
- 0 @7 G% h# o6 @4 M2 V0 [\" E ~1 Gdouble Fx(double x)8 z\" Y5 q! A) C. j/ U/ W
- {
- & O2 {- t' x: ?& b return 1 / (1 + exp(-1 * x));
- \" i, d9 w2 q+ T5 b7 `% t: I6 l}2 n4 t: j: W) Y1 H
- //La输入层 Lb隐藏层 Lc输出层$ O\" ~4 E* D' M* x4 P/ Q( L
- //样本输入\" X% `* J1 P+ U, p/ u; q# e P\" U
- double La[DATA][IN];
- # R3 h4 p1 c# O, X//样本输出
- 7 ~5 q) T; W/ j3 U3 udouble Lc[DATA][OUT];
- ) U( p7 S\" v6 B q' R4 v//La->Lb权重. G4 h) j& z( ?! G
- double Wab[NEURON][IN];0 o8 Z! Y\" \ Q
- //Lb->Lc权重
- . h1 g. X) a# b7 T4 g! p6 M* wdouble Wbc[OUT][NEURON];
- 3 x2 {2 _: y) t7 T; B//样本输入每个向量的最小值,最大值;输出...
- * g9 w. O- |# a3 g7 adouble MaxIn[IN], MaxOut[OUT], MinIn[IN], MinOut[OUT];
- / @* | ~/ y( g. n$ i+ u
- $ w& `# d) k% x1 T\" e//Lb层输出
- . k7 R' l# b* i4 s( |double LbOut[NEURON];6 |5 u0 `% u\" F; w
- //Lc层输出
- ) H: \! o0 }4 l* sdouble LcOut[OUT];* |$ o) F/ x6 [$ M. w; d9 s
-
- . A5 J1 O' x# U% O) D1 W//Lc层单元的一般化误差
- + b! a+ r) \/ E* L6 l2 E# Ndouble Dc[OUT];6 A/ _$ R) w\" o8 h9 t
- //Lb层单元的一般化误差7 g1 H- a! N p: T
- double Db[NEURON];
- 4 J/ G# k- Z6 \9 u* j2 C4 g6 R/ f 3 B9 x6 p: x, u% D( w7 ^& b
- //设置样本数据
- % R } l1 [- Q5 _7 A4 I, M6 bvoid setSample()2 b$ |# s% M0 N
- {1 h1 V9 {\" r3 R; s7 d
- srand((unsigned)time(NULL));+ k. A) X2 J\" f, e, O- ?
- int i, j;- N I4 j7 l' @/ d1 g2 u) l
- for (i = 0; i < DATA; i++)
- + x, s; d5 n\" q6 b {; m- Q4 q) Q: M6 K+ q8 t% G9 m
- for (j = 0; j < IN; j++)
- 2 b: W- U$ I' y- G1 ^ {3 T' V& N5 W, O: N& V6 S8 I
- La[j] = rand() % 1000 / 10.0;
- , e7 z4 f; t- ?- C- X r1 [2 ^2 g }
- + ~% B- }7 w3 u+ E% r& {
- 9 c J4 `: N3 r5 @ for (j = 0; j < OUT; j++), A\" G' C$ S) o, T/ G$ {* W
- Lc[j] = La[0] + La[1];
- ' z5 V; G) u. h9 a& | }; C& z/ ]- ]4 @\" ^, a: b
- }
- / ^' h6 _; r! ?: ^3 Z3 o' y7 I//初始化BP网络:权重,阈值(隐含节点+输出节点)+ r. H' ?% F4 D+ W\" Z
- void initNet()+ b& V+ x; A) o
- {* ]# X: ^$ d+ Y- \) b* z, }# H: A( H
- srand((unsigned)time(NULL));
- * n8 @ x) i+ j) i //两部分的权值设置随机值【-1,1】1 j* u) W/ @. m* C. l) f: Q
- int i, j;4 k: D: x/ z* Q1 [9 H4 G
- for (i = 0; i < NEURON; i++)/ P\" a& w4 L/ T. G
- for (j = 0; j < IN; j++)
- , q- Y( D: Y1 [ z# B! w$ w' G {8 E7 T& r: @* F, h( y( {
- Wab[j] = rand()*2.0 / RAND_MAX - 1 ;
- + `\" y\" X8 [\" j Wab[j] /= 20;$ l\" q6 p; j) C1 A: _- M0 Q. @\" f
- }
- $ j2 |7 m7 K# S* r4 g3 }2 z; W 6 V\" R- Y& j/ H- v
- for (i = 0; i < OUT; i++)9 H2 S9 {! N: T7 |! u. c# {' m
- for (j = 0; j < NEURON; j++)
- & w% v' M e0 o. ~1 B {
- % J# {/ C8 Z# `4 Y, _ Wbc[j] = rand()*2.0 / RAND_MAX - 1;1 q# e0 J6 U2 w
- Wbc[j] /= 20;. e' g! B& n7 b5 ?9 Y
- }
- : M: L: R2 Q5 F9 O) a) n
- 9 n2 V6 |+ g\" [* |, s& c //找出每个向量最小最大值,并进行归一化, M; W; p& E7 e' c- t7 V. G
- for (i = 0; i < IN; i++)
- 0 ]4 J, C: m& R* t/ |* n3 r {
- 3 r: h& m0 b2 [ z& W7 F ) u6 H9 p0 C. Y1 |3 I7 L
- MinIn = MaxIn = La[0];5 _$ i% x- C: @7 T, Y! }# W- ^' s
- for (j = 0; j < DATA; j++)\" U4 w, d) N8 B, ~- A
- {9 ~1 {8 f! v* z7 q' Q
- if (MinIn > La[j])
- * y* M1 K7 s# s D6 n) ?\" t MinIn = La[j];# N3 P/ S: u7 C5 o\" x. J N! ~
- if (MaxIn < La[j])7 v) o# ~- |2 z
- MaxIn = La[j];
- 1 o k8 b1 A- b: r' X% D! T( N) G }
- ( C) ~1 I9 ?( ]: S( b& r* Q( i& f $ X/ P% _4 @: Z, E- J& R
-
- % W$ F b7 x! A6 R) w5 o/ B }
- 2 v3 N: t\" C7 `. z; k a6 i/ z 5 [1 M8 Z! d5 m, z' X& f6 W. p. V. O
- for (i = 0; i < OUT; i++)
- 8 w( H8 i4 M! T, \ Z, v d0 J+ C {
- & K( ~- s- W. c; N' m) I9 F * k$ O A! q\" W+ @
- MinOut = MaxOut = Lc[0];
- 0 B\" a. p9 B+ T for (j = 0; j < DATA; j++)
- ' `. b. u3 @ F9 w& _ {
- 1 D3 C) ^% _! r# Z* |! ? if (MinOut > Lc[j])* G' B5 C# }1 f4 h% E
- MinOut = Lc[j];4 j/ s3 J. H: E1 E
- if (MaxOut < Lc[j])
- 5 _, X7 h6 ]1 l& q+ M. x5 C MaxOut = Lc[j];7 K$ E7 F- R- p. ~! N& V! F y
- }2 N9 [# _! d! F0 x# i8 i+ o
- ! `3 E7 @+ @0 o/ T& c6 X/ {
- }
- % ~) k0 W4 {& T# e9 y ) z+ N# S/ [\" a+ e# D
- //归一化& q1 d/ G3 g4 k; z
- for (i = 0; i < IN; i++)
- 6 V B) S; O4 B for (j = 0; j < DATA; j++)
- 4 U! J$ c& T9 f% G La[j] = (La[j] - MinIn + 1) / (MaxIn - MinIn + 1);8 ~( P' A1 {; x* `; \1 x
-
- 3 y: I- T8 Z q3 I+ F; l8 ^4 S: ^' e( \
- + z& \+ v0 G/ o( v8 P for (i = 0; i < OUT; i++)4 u' [5 M1 A3 S6 m g% b
- for (j = 0; j < DATA; j++)) k7 V; Y# o8 L8 @2 I, ^
- Lc[j] = (Lc[j] - MinOut + 1) / (MaxOut - MinOut + 1);
- \" f9 K\" V! u# ^8 t% H7 Z! d4 K
- 9 \- D! G, l9 @. z0 [ 2 h) e: v, U* Q& D
-
- 0 C\" i: T: o3 e8 K( i}, d* H3 G S- L0 ~9 J
- void getActiveVal(int dataIndex)
- % [- ~6 A- G6 F{2 v: `1 m; @7 O# f% Y( M: x+ C$ U8 g\" W
- int i, j;+ A; S2 J1 }. e\" l$ i3 v. f3 c1 J
- double sum;
- , H9 A3 k6 J3 O7 S for (i = 0; i < NEURON; i++)
- 3 Q9 g4 m+ ^; u' M4 P* T. c- m {
- ' {; v: G- \+ V. {/ e sum = 0;3 o7 S5 @, |8 j
- for (j = 0; j < IN; j++)0 O2 d8 E' U# O/ ~7 ?3 [
- sum += Wab[j] * La[dataIndex][j];6 f1 l9 O$ R$ ?* C
- ' X\" o\" U$ |* b, b- \9 m' B# F
- LbOut = Fx(sum);
- $ H, d5 m/ W) P( \
- 1 n. I6 I\" w! N$ _8 c) o0 i- x }
- 6 o. Q1 j. D, d) k3 n9 K
- 1 L) [5 x9 `2 u+ u# b) h for (i = 0; i < OUT; i++): y; V6 ~8 r2 F- ]% f4 H
- {
- 4 `\" Y# W. { s sum = 0;1 U! \$ J& K3 Q
- for (j = 0; j < NEURON; j++)0 r: [6 F/ X: m# j' B
- sum += Wbc[j] * LbOut[j];
- \" B% i9 h9 A& L
- + k2 X' k% U* d0 B LcOut = Fx(sum);
- : }: U' f* r @( r }
- $ q3 P) P) F! H2 `}
- 3 [- B D0 B8 n2 w# C. m4 x% f/ vvoid backUp(int dataIndex)$ _ o$ }( T4 y$ f/ ^
- {8 i1 n w! F6 \+ b
- int i, j;2 I( D, w& u& Q' c: c9 f& z3 y5 A
- double sum = 0;
- 0 d6 Q2 ?5 q7 X4 e //Lc层单元的一般化误差8 l% ~3 R# q* @$ e& q' K
- for (i = 0; i < OUT; i++)9 [3 X! b. e. s\" w
- Dc = LcOut * (1 - LcOut)*(Lc[dataIndex] - LcOut);
- 1 A6 R$ b8 Y9 X2 Q! ]
- $ G. l% ^( K7 w! q9 } //Lb层单元的一般化误差
- . M. Z6 |- C8 t for (i = 0; i < NEURON; i++)
- / k7 G( h8 q7 ]# W# h {
- \" i# X& G6 V5 ?\" q sum = 0;2 j$ |$ Z) X% y1 t+ m+ C
- for (j = 0; j < OUT; j++)4 \0 t. P9 e* ]. G& l1 b3 L
- {
- ; Y$ K/ G& Z/ c) L sum += Wbc[j] * Dc[j];
- * H2 x# ?, }6 D+ `- K }, m: G3 M8 T! F! `% o8 c
- Db = LbOut * (1 - LbOut) * sum;$ f4 B0 l/ v4 n( C1 }5 \
- }. W5 b$ a2 [7 G' j- u8 G, Y\" {
-
- v# i* q0 v2 |; Y% @; o9 x double beta1 = 0.08, beta2 = 0.1;1 K/ s$ |6 ?) a, c7 E( z
- ) Q' P% c. f5 O7 v; c. U$ f) n
- for (i = 0; i < OUT; i++)\" T! }: U: Y; x$ G8 t! u
- for (j = 0; j < NEURON; j++)\" l1 i* J' d1 ~$ G5 h; h
- Wbc[j] += beta1*LbOut[j] * Dc;3 O8 ~5 e% y- G+ X8 ~1 ^( S7 [
- / |: T# J4 E9 [9 F/ [ B
- for (i = 0; i < NEURON; i++)( W0 _1 E( H1 M/ @! s\" u
- for (j = 0; j < IN; j++)# N* m2 `; A\" ?\" ` d
- Wab[j] += beta2*Db * La[dataIndex][j];$ |! U3 E/ k9 f3 }& i( ^
- / ~; g8 D% H; V* A
- # ^; k/ M! G% H0 @) e' Q
-
- / R4 ^/ m1 h% o: m! J$ y$ b. ?6 ]}
- . y7 t4 b1 f8 l\" V- t# K8 r9 ~ ' X$ I\" K) ]# b
- double result(double d1, double d2)
- + L1 V; m- |8 Y7 m{
- 1 J2 U% a& W6 n int i, j;3 ?( R0 Q( A% P8 f1 K
- double sum;3 j9 o& {0 I, ^
- d1 = (d1 - MinIn[0] + 1) / (MaxIn[0] - MinIn[0] + 1);;1 d' \' j z' a3 R) ~! q$ b' s
- d2 = (d2 - MinIn[1] + 1) / (MaxIn[1] - MinIn[1] + 1);/ p9 J! e; l5 v
-
- \" C* }\" e' P: ~& b for (i = 0; i < NEURON; i++)& t! {, X\" @- d; Y
- {
- : n+ f9 ^' @4 s9 B( e# z# y; k$ y sum = 0;
- % R8 r H0 t0 G7 l# M/ @0 S* h sum = Wab[0] * d1 + Wab[1] * d2 ;
- ' y! P7 W; }7 r# | LbOut= Fx(sum);8 f4 L: n' w# s1 l7 c& S3 W
- }
- % L( g\" @/ [ i 1 d! ~+ R$ @% Y
- sum = 0;6 N' N% v1 s' L% I* ^
- for (j = 0; j < NEURON; j++)
- 6 N; |2 W3 E+ z, I sum += Wbc[0][j] * LbOut[j];
- 2 x2 t0 O: p: i$ t ; u( K- k/ J8 B4 O
- LcOut[0] = Fx(sum);
- - F5 e' n! r- h\" o+ @ - L3 }9 K4 e5 t- b8 B
- return LcOut[0] * (MaxOut[0] - MinOut[0] + 1) + MinOut[0] + 1;
- % k$ t/ w# D% `\" `\" j$ m
- 6 X6 |% D6 K. g1 | 1 c7 k& {# H/ F2 O+ n; G
- }
- ' D1 n/ K J' O+ r2 u; Rvoid train()$ ~* E' o8 k$ ~\" o) \1 r
- {% ?, p) d+ q, b$ P1 k
- int i, j, no = 0;
- C$ N2 b$ ^0 x# p( G double e = 0;; x; I% t i, @0 \& `5 ^8 I. w
- do{$ U/ a# h7 Z: T8 V
- e = 0;
- ~1 t# m- X% K# ~ for (i = 0; i < DATA; i++)( g9 a4 \\" b7 P/ C [ p
- {6 d7 P1 U+ D: P9 ?! @
- getActiveVal(i);
- , I; _4 N6 V) {( o* V backUp(i);
- . V, o# D- T' p e += 0.5*pow((LcOut[0] - Lc[0]), 2);
- \" x\" i3 w' E+ s, I' j8 `6 k1 K }
- \" `% T: ^. p2 T, d
- 6 f' Q8 B: {5 w. m cout << no << " " << e << endl;
- - z- W2 j, G9 |/ R+ a- g no++;
- - d0 s0 l& N! b4 D1 | } while (no < 1000);3 w3 z) \5 U! R8 z' _* k\" N7 b
- 4 I' N8 E3 i( D3 C+ o
-
- # y2 x9 t' i! i# D* v4 Y' t; Y1 ]}
- ; ^- q& ?4 h! {/ [
- 6 [, } \- @% W+ H6 Mvoid main(int argc, char const *argv[])
- 4 w! [1 C3 j; f& P. w, H* F9 p' h7 D+ |{( K7 `# j# @* h\" B8 A- V
- 1 |* m! K1 x0 _: Y* w2 R\" N
- setSample();. s8 ^6 |. O* O& a9 y7 o
- initNet();. W. E7 y% I' K2 d- x1 [% W\" j
- train();\" Z$ |+ u7 J8 F) f( }5 [2 U* a- s
- double a, b;
- : w4 o* W7 F5 p2 a while (1)
- ( X' M( B+ b. V3 l {6 M3 M; X( V0 B2 x3 E2 F- U
- cout << "print two numbers" << endl;
- - Q7 d, T5 K8 ]2 d2 @ cin >> a >> b;
- ( q2 M5 {. Q9 b cout << "result:" << result(a, b) << endl;3 S' x: l7 p. X/ }
- }
- \" P( L3 U# ~3 w8 J, { 1 }+ |6 p& P( c* H
- ' L: r\" x. t! ]\" I$ t
- }
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