- 在线时间
- 8 小时
- 最后登录
- 2016-11-7
- 注册时间
- 2011-6-23
- 听众数
- 3
- 收听数
- 0
- 能力
- 0 分
- 体力
- 148 点
- 威望
- 0 点
- 阅读权限
- 20
- 积分
- 51
- 相册
- 0
- 日志
- 0
- 记录
- 1
- 帖子
- 17
- 主题
- 6
- 精华
- 0
- 分享
- 0
- 好友
- 5
升级   48.42% TA的每日心情 | 开心 2016-11-7 00:15 |
|---|
签到天数: 7 天 [LV.3]偶尔看看II
 |
一 基于均值生成函数时间序列预测算法程序" t( U. U3 N: O% U# h2 v
1. predict_fun.m为主程序;7 _7 r8 _% e1 @$ K7 K9 |3 Y
2. timeseries.m和 serie**pan.m为调用的子程序
0 P8 D5 h6 K& p, L9 W
* n# |; A* H% } {& e( w# tfunction ima_pre=predict_fun(b,step)
( ] G, R5 p& r4 }9 g- y! {6 M- t- L% main program invokes timeseries.m and serie**pan.m
& L3 ?( A8 G5 M) a5 ?3 j7 u% input parameters:
+ z* H6 x& \" {- l o% ]% b-------the training data (vector);& h: e; w3 V8 V6 p* y1 c
% step----number of prediction data;. x' \$ j) w# ]+ K
% output parameters:" N% r# h0 b0 Z/ d9 e
% ima_pre---the prediction data(vector);
. [" |$ O4 y) x. W9 q& a. @old_b=b;
! g, w$ d5 g v* v9 J5 @0 Pmean_b=sum(old_b)/length(old_b);
* o- [; v& m( m1 n' C2 }std_b=std(old_b);
+ R# E: f; |! k0 @old_b=(old_b-mean_b)/std_b;9 u- U4 \( O/ P
[f,x]=timeseries(old_b);
* G0 E+ |5 j K+ |! Eold_f2=serie**pan(old_b,step);8 R7 D! ]" ?8 m9 Z% A5 ]- Q
% f(f<0.0001&f>-0.0001)=f(f<0.0001&f>-0.0001)+eps;; X. v0 S" G0 E% G
R=corrcoef(f);
* {' \% }* _) u0 [. G$ g+ X8 o[eigvector eigroot]=eig(R);
6 {' I3 s9 r0 \ D0 w* Feigroot=diag(eigroot);! G8 `; ?5 |0 N$ U5 {# I
a=eigroot(end:-1:1);
: M' }9 F. N( A# avector=eigvector(:,end:-1:1);
$ Z- C9 I. L/ a) V- R- j- tDevote=a./sum(a);: s8 f" @" D; M% k
Devotem=cumsum(Devote);% y, G4 }' N5 Z1 r+ k
m=find(Devotem>=0.995);
( s" c, N4 T. sm=m(1); [3 r2 [+ l1 v4 F: E$ M
V1=f*eigvector';0 v6 o4 T* G& `% ~( {
V=V1(:,1:m);
, o% r9 o4 ?0 m- x% old_b=old_b;
' ^- L r8 [9 z* f* m! Vold_fai=inv(V'*V)*V'*old_b;) ~1 t8 t( X3 ~' z: g
eigvector=eigvector(1:m,1:m);! O! n$ o2 }; }+ L
fai=eigvector*old_fai;
; m- o* _- g/ I1 Mf2=old_f2(:,1:m);
& }' a7 g& K1 Vpredictvalue=f2*fai;
% t! `- B! \+ }- Nima_pre=std_b*predictvalue+mean_b;1 H: {* L8 i* {& S% n
; \. c6 ]% I- i
1.子函数: timeseries.m
|$ j& e, M. H+ R; e# |5 a% timeseries program%
( A# A j6 R/ j" r3 K2 h) x% this program is used to generate mean value matrix f;( Y" Y- O/ a/ j1 H) j3 P% J+ k
function [f,x]=timeseries(data)
* u( }0 w1 V% Z% J4 L4 \; l1 e% data--------the input sequence (vector);
2 _4 x, A1 o4 H$ m7 j1 Q. v' {% f------mean value matrix f;
, ?" L2 B! D, Y7 X+ nn=length(data);
4 D% o0 V, n3 ]" W' g9 Qfor L=1:n/22 ^, ~6 }. a7 e8 e$ ]3 o, P8 A
nL=floor(n/L);7 F k2 N" `0 k" x- G; u0 \
for i=1:L/ g$ i5 O# U: P0 C
sum=0;7 y+ H& D0 C+ C' \9 s( Y- b
for j=1:nL, F6 _; t6 q, B* ~/ N
sum=sum+data(i+(j-1)*L);& k- |6 z- W+ S+ Q
end
. x/ Y" ~( L! [$ ^$ J x{L,i}=sum/nL;
* a6 W4 `' D0 E' G! L4 N/ w end& j3 ~7 v' R$ n: q
end% W' k9 V% V9 d
L=n/2;
6 m% v( d* O! P' kf=zeros(n,L); r9 t, W; u( j7 t$ c0 E; B- S+ R
for i=1:L' x5 Q; O% b! |) x
rep=floor(n/i);0 O- k( d$ T3 |/ G* N! Y0 c
res=mod(n,i);
1 y. ^) a8 G u( ?- v. [+ r/ w; q b=[x{i,1:i}];b=b';- t, V: ~% }4 L* s
f(1:rep*i,i)=repmat(b,rep,1);8 }: p% h% T+ H/ O
if res~=0
0 m, t/ W3 h/ k c=rep*i+1:n;5 {& t* a# ?" |4 e/ w/ s
f(rep*i+1:end,i)=b(1:length(c));2 L- B. v) H) J# `9 U
end) ?) H1 L' T/ m! w* V, k
end
' @% Z1 j! Y# S+ u+ N, M( f2 b. P: D9 L% a( K( p1 M+ ^! ?
% serie**pan.m
9 E l( H! U5 l5 \3 Z% the program is used to generate the prediction matrix f;
, Z3 Q' O) m, G+ p8 E+ X) gfunction f=serie**pan(data,step);$ Z. i3 N/ @3 j
%data---- the input sequence (vector); {" }& _4 ~" S8 E9 ^9 o
% setp---- the prediction number;
4 I- f. n3 f1 o+ D% {3 S2 ln=length(data);3 d5 Y: D7 T, `# F
for L=1:n/2
3 `) z* `" V5 b nL=floor(n/L);
1 D% A0 ?5 t: L: D. i for i=1:L
4 H) `7 \6 a: Z F5 b7 { sum=0;; S5 I: k% r' b# `8 A- q2 N# I
for j=1:nL: v0 q" Z9 }' _! B, G. V/ f
sum=sum+data(i+(j-1)*L);1 m* |! j0 `7 s
end" F( f5 n/ @' H6 ?: |1 Y7 C9 J; p7 j
x{L,i}=sum/nL;, \2 n, T4 X- m, b5 f$ H
end- `8 ~; \0 @! b# N3 j, x: [% N
end) M7 x L% _+ i
L=n/2;
; Y5 T7 T$ i2 H* c4 k& a! |f=zeros(n+step,L);
" L. ~5 v9 A' j$ q$ J$ Qfor i=1:L
3 U5 O4 L* O- [# ` rep=floor((n+step)/i);
1 b& [) c& F& z res=mod(n+step,i);
% d' S. Q8 r, Q0 U o5 I b=[x{i,1:i}];b=b';
8 C7 r! a. l [5 O7 e% S1 [( j6 [ f(1:rep*i,i)=repmat(b,rep,1);
5 h3 K/ z* m* o9 H+ _4 {$ ] q6 c6 D if res~=0: z. Q1 l, l1 l1 L; X
c=rep*i+1:n+step;
; Z: h/ D# ?: q f(rep*i+1:end,i)=b(1:length(c));( K% d* j( _$ R
end6 T( c6 }9 s5 A
end ]0 Q& {$ v4 ]% O {
) G4 x! @+ z, U
二 最短路Dijkstra算法
7 d" ]2 H* ], S! p" m o, G% dijkstra algorithm code program%; @ ~" c% a$ Y9 p6 B$ q) Q
% the shortest path length algorithm
6 ]% K7 s0 O3 o7 j5 Yfunction [path,short_distance]=ShortPath_Dijkstra(Input_weight,start,endpoint)
* @% p+ k* H, Q+ s. x8 Y3 D2 n5 g4 X% Input parameters:) B; F; q1 G9 I% F
% Input_weight-------the input node weight!" @" _6 `8 d0 L, U$ {
% start--------the start node number;
+ F3 A' D6 S+ [% endpoint------the end node number;. g% y' I7 m9 h% J3 m
% Output parameters:
$ W, s& s7 f; K7 w" Y3 o3 J8 Y% c; c1 T% path-----the shortest lenght path from the start node to end node;
; v, P# U* I6 ]( k; o6 z% short_distance------the distance of the shortest lenght path from the& c. d" z( s* b
% start node to end node.
' u7 a$ D) g- [4 H( y/ D. T[row,col]=size(Input_weight);
( e- r0 r3 o; |2 e; D( h5 A; N
%input detection
+ F6 k2 M- @. W( U, R: jif row~=col% c- \) o2 q# i# I% t* C4 G
error('input matrix is not a square matrix,input error ' );
% M0 d; y7 ?) P) s5 d; l( send8 T( q' T: y9 F' E: u
if endpoint>row4 y1 R$ S7 k; M/ y
error('input parameter endpoint exceed the maximal point number');- h! G7 ~7 f4 H# g3 o
end, r+ I% r7 C0 G4 l& P, K0 N% b5 y
0 z# k a% m$ `; l4 d
%initialization
& Q! r9 |4 Z- ps_path=[start];
0 Z& S e! J* vdistance=inf*ones(1,row);distance(start)=0;
+ i! O5 j0 ]# F% P* A; Q( d( i( Tflag(start)=start;temp=start;- ?# P, O4 C5 ?# D
+ a0 s( N$ I+ \0 jwhile length(s_path)<row7 o8 t/ ^2 ]" Q" e+ E
pos=find(Input_weight(temp, : )~=inf);% a8 {6 S: t6 G# A5 c
for i=1:length(pos)2 q; [$ M3 ~$ ^ b4 D6 _
if (length(find(s_path==pos(i)))==0)&
. S7 U5 j+ l3 B(distance(pos(i))>(distance(temp)+Input_weight(temp,pos(i)))), i, O$ X, d& ~* P Q$ u8 V7 M
distance(pos(i))=distance(temp)+Input_weight(temp,pos(i));9 U$ x) u! {3 Y# S$ V
flag(pos(i))=temp;* u5 \- H' m7 I- ^* A! u
end
, e' @# h7 {7 r3 A- U) }$ B+ p# d end
# }8 z" F/ V; b; e& [- I' x k=inf;9 U3 ?' i% Z* v( n0 H! g
for i=1:row, q* [- W. {% I
if (length(find(s_path==i))==0)&(k>distance(i))5 A0 d- a- _! M- I) \
k=distance(i);/ h3 N0 M8 ^8 X/ O3 z
temp_2=i;
& d& P5 ^1 i% B; E end
: g! A2 g4 d- H$ D) y: G end
5 k+ P" {2 j' V! |' e5 l s_path=[s_path,temp_2];0 X- ~- R7 [$ r1 c7 K' a
temp=temp_2;8 i3 e, h" k+ a
end
- C( Y) ], Q7 } I: y p$ \+ t" B9 a. \' E
%output the result
* ? T6 {" H" r1 O$ f0 x( Cpath(1)=endpoint;6 W# O9 P7 O$ G0 z; j5 P" q6 K3 r
i=1;; h! S9 q8 ?2 M5 s
while path(i)~=start
& z0 {: M9 q2 P+ J+ g path(i+1)=flag(path(i));, r& r3 Q; r; M( F
i=i+1;1 T. T& i6 W, M2 k
end Q f4 @! i$ l& U# [+ p8 \
path(i)=start;5 S" p3 C5 ?9 h, Q* M
path=path(end:-1:1); g2 \6 c3 \+ G. r, _
short_distance=distance(endpoint);
$ N0 e$ V/ q1 ]+ B2 e. H8 c三 绘制差分方程的映射分叉图
: d# S# m7 o- Z, {4 f: Q+ s: p4 ] h }! `6 |( n0 h7 B
function fork1(a); : H! t3 ~* l0 b% f- s S4 W+ B& @1 B4 ?
; y x, X; F6 e( }% 绘制x_(n+1)=1-a*x^2_n映射的分叉图
( W4 \( b. ]) X+ V; u* w% Example: * z6 D+ B O2 J0 f) z3 k3 l
% fork1([0,2]); d* x* z3 J6 N$ H2 @
N=300; % 取样点数
. b( P, _) R7 x$ n$ eA=linspace(a(1),a(2),N);
& D0 S; J( T$ g, u7 b6 Xstarx=0.9; - t3 J; I1 C1 J3 l- Y! p
Z=[]; v% z+ }- U- Y! A5 u0 D
h=waitbar(0,'please wait');m=1;8 d2 X. Z( q5 r* W
for ap=A;
- N/ W! E! |. V5 H" l x=starx;
6 {2 u7 B( @ N: y, M" V; g1 s2 o for k=1:50;
! ?9 [+ g) f! ?% u7 t# f; Y" [: E x=1-ap*x^2; , f! b. j+ M# H8 Y2 M3 M
end - T& ~6 I) S1 r/ S" n8 m5 x) L
for k=1:201;
& y1 t3 `1 J7 O$ _5 j- Z% H7 `/ J" q x=1-ap*x^2; * a$ f; S" ]0 y, W3 g- S
Z=[Z,ap-x*i];
4 ^2 F; Z% S& H: U& D end
& y4 l u7 H1 c2 D+ s2 T( n waitbar(m/N,h,['completed ',num2str(round(100*m/N)),'%'],h);
- m! b: j- }$ b) l5 ^ m=m+1;
- W8 t2 t E* u* V4 n8 U7 N* O( dend
@; k1 h$ I1 \4 W! O6 c: \. Qdelete(h);
4 H0 w2 s9 ]" c# f4 [" B9 kplot(Z,'.','markersize',2)
0 t; M4 q: ]$ ^+ G7 [' V) Fxlim(a);
4 O( R) ~5 a) O* ?$ N7 |9 l, W- T& Q0 |$ C/ _0 _; q, c
四 最短路算法------floyd算法$ z M% i" R( ~ D3 c
function ShortPath_floyd(w,start,terminal)
5 i% {) O! ?. \4 O%w----adjoin matrix, w=[0 50 inf inf inf;inf 0 inf inf 80;
2 @% q: y7 }: c%inf 30 0 20 inf;inf inf inf 0 70;65 inf 100 inf 0];+ r2 T! y' b3 S w' g
%start-----the start node;# O$ @+ W \2 a* a6 [2 {
%terminal--------the end node;
# n) o+ o6 c: a5 I( v5 ]8 O9 ^n=size(w,1);; X! {9 D) l) B3 @# t& K
[D,path]=floyd1(w);%调用floyd算法程序& @8 O+ E9 U) w3 C4 [" V
8 N) z# m5 O; S' i( T5 Z# S
%找出任意两点之间的最短路径,并输出: z- ~; Y+ j, Y o
for i=1:n
0 \0 \* f" d7 y( ~' B! c( s( B for j=1:n( r" p4 X" W- k* O0 N* N1 _
Min_path(i,j).distance=D(i,j);2 m o. ^2 c* \' Z8 @7 @
%将i到j的最短路程赋值 Min_path(i,j).distance
* R, L- }& \! `' v, I' F %将i到j所经路径赋给Min_path(i,j).path8 E/ k% ~$ v7 ^, T0 h/ G6 z+ t
Min_path(i,j).path(1)=i;1 e s0 i3 d( S# p+ M, b
k=1;
! n; w: H- ]1 r while Min_path(i,j).path(k)~=j6 o6 Y- v7 w% z& a: E# e
k=k+1;6 ?7 I1 Q9 R+ d% U$ S
Min_path(i,j).path(k)=path(Min_path(i,j).path(k-1),j);
' ]1 L+ t g3 s. C; a end
" m: x: c+ k! _" ` end
1 a" ]* I& k8 R) xend
" P, u( C$ Y- T' o3 ]" ws=sprintf('任意两点之间的最短路径如下:');
; z3 o5 J% t. X/ adisp(s);
: f2 x- M3 q. [9 v' vfor i=1:n
6 U* M u9 M* ? for j=1:n4 K: c% D4 J O$ h
s=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:'...
y; Q% Z: H" X5 r2 ^* S ,i,j,Min_path(i,j).distance);. U- d; L& V% C" J4 m- N9 r k
disp(s);
/ O' f, ?& h5 J; T disp(Min_path(i,j).path);
9 K$ f* g- X t$ \6 W end
" X5 m: Y5 s/ Q& J$ C$ |# Send
4 S: i, Q$ k9 k; m' V6 Z$ y- b
* x- k/ Z' D% T2 o%找出在指定从start点到terminal点的最短路径,并输出
+ _/ P% E, c* T3 M$ {1 Astr1=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:',...
2 J" r" z& O$ Y- o2 u5 Y start,terminal,Min_path(start,terminal).distance);3 t3 |! b1 z1 S7 m* ]& Q
disp(str1);& W9 |, m4 r2 L, h
disp(Min_path(start,terminal).path);
& R1 E8 H9 X- e4 T3 v& t0 ?* \3 B. f1 u! R6 b3 [: s/ |/ { B* a$ g
%Foldy's Algorithm 算法程序( S7 h9 D, K- e; }/ z& [
function [D,path]=floyd1(a)" E. O2 u* ^4 d. f: A6 J5 C, K
n=size(a,1);7 K# I; q2 A' b1 T4 N. t* K
D=a;path=zeros(n,n);%设置D和path的初值. X1 F( Q; {7 s, Q, t
for i=1:n
' U' K: E) [5 U8 y for j=1:n' o6 ?2 }' \7 w% R) H( Z
if D(i,j)~=inf: p- m1 |) m$ O5 {
path(i,j)=j;%j是i的后点
# T* o4 d* t& s# y. L7 X; y. [ end
) ^6 P& ]6 `7 I end( {- Z2 {& C8 {1 f+ W; y5 s. K
end4 N3 q Y- m# v2 C; \) P5 r- d
%做n次迭代,每次迭代都更新D(i,j)和path(i,j)
# R( M, N1 G" ~; k. S- w/ mfor k=1:n
7 w4 a6 Q$ u3 l! N% v( y" l5 E for i=1:n
$ `6 t9 Y# {. b% v$ L" X# k7 X' i5 |0 L' D for j=1:n
+ a- h& v( w" F% J if D(i,k)+D(k,j)<D(i,j)/ \5 C/ {. ]( e# A
D(i,j)=D(i,k)+D(k,j);%修改长度
0 [& l" D- P6 F4 R- I( j path(i,j)=path(i,k);%修改路径
/ W* }: f+ n) {* F3 Z# s end
% s N$ M0 c4 j; U- r end
) H0 ] b3 D+ {5 t$ `% P% A/ j end7 H. h) l$ W# k m- _& @6 ?( u
end) D2 b1 T; H8 g/ l
" y/ f$ c; Q. k8 V, J五 模拟退火算法源程序& `1 x2 y- A9 z% V; t) v* Q2 L
function [MinD,BestPath]=MainAneal(CityPosition,pn)
9 _/ G+ g( s+ l* gfunction [MinD,BestPath]=MainAneal2(CityPosition,pn)3 M+ C. j2 C4 {- O
%此题以中国31省会城市的最短旅行路径为例,给出TSP问题的模拟退火程序' Y! I( {, B7 a+ g
%CityPosition_31=[1304 2312;3639 1315;4177 2244;3712 1399;3488 1535;3326 1556;...4 E( ^ d! y/ K7 ^
% 3238 1229;4196 1044;4312 790;4386 570;3007 1970;2562 1756;...
# |1 g6 ~: G. @* z9 Y" [% 2788 1491;2381 1676;1332 695;3715 1678;3918 2179;4061 2370;...2 }0 y: d8 g8 [' C+ x
% 3780 2212;3676 2578;4029 2838;4263 2931;3429 1908;3507 2376;...
' g% O! c# F0 Z* ^9 ~, l% 3394 2643;3439 3201;2935 3240;3140 3550;2545 2357;2778 2826;2370 2975];
6 \) l! E/ t+ l. r; s- o5 o
- B1 W2 Y) \* j%T0=clock# O" f: C0 f% ?/ w0 u. T$ \
global path p2 D;/ E5 G! U6 D) w' u# g0 v6 C) `
[m,n]=size(CityPosition);
1 D+ b3 J3 m, Y7 E5 w%生成初始解空间,这样可以比逐步分配空间运行快一些6 y) i% l! ] ^6 B2 C
TracePath=zeros(1e3,m);8 j$ F1 Y+ N" w; b6 g
Distance=inf*zeros(1,1e3);
# \4 t4 e! l7 O7 h: O& T7 n6 ?1 u' n8 S5 R5 v3 }# R! u
D = sqrt((CityPosition( :, ones(1,m)) - CityPosition( :, ones(1,m))').^2 +...! B+ c: |5 P! `0 o0 Z% Y6 g
(CityPosition( : ,2*ones(1,m)) - CityPosition( :,2*ones(1,m))').^2 );
. Q A& s1 S3 l8 k%将城市的坐标矩阵转换为邻接矩阵(城市间距离矩阵)
6 Z7 [* K7 o8 A; z3 Ffor i=1:pn
9 A8 b) ?! G! ` L8 f path(i,:)=randperm(m);%构造一个初始可行解+ O+ J( y w5 K5 D/ y
end: B: p$ l u$ |- K; U q0 y
t=zeros(1,pn);
+ k) {' W% D& \! s5 Y( G8 H+ sp2=zeros(1,m);
' @" {5 P7 E- |+ o) n2 H( [8 }" y! @0 N! M' q$ d% H
iter_max=100;%input('请输入固定温度下最大迭代次数iter_max=' );5 @' K7 [- o: W$ l" ]
m_max=5;%input('请输入固定温度下目标函数值允许的最大连续未改进次数m_nax=' ) ;
& v' v1 W+ U! F%如果考虑到降温初期新解被吸收概率较大,容易陷入局部最优# m. W7 t, y4 t
%而随着降温的进行新解被吸收的概率逐渐减少,又难以跳出局限! O3 m7 g4 O) L! u; {
%人为的使初期 iter_max,m_max 较小,然后使之随温度降低而逐步增大,可能
0 I4 }/ c1 f) b/ H; b$ e6 G) c%会收到到比较好的效果1 D/ q# [5 O+ ~6 w. Q& d
% B$ N# g1 L/ G, J* n+ u8 t3 RT=1e5;5 w5 h" ?( J* h
N=1;& A- o3 N; ?* T& q
tau=1e-5;%input('请输入最低温度tau=' );. q4 s* E) u9 J/ `2 q' Z
%nn=ceil(log10(tau/T)/log10(0.9));
# n1 u" k) ^4 g \while T>=tau%&m_num<m_max 7 C( |8 T5 {- f3 k; W& F8 v
iter_num=1;%某固定温度下迭代计数器
% F9 ^! g& _9 T- H8 u m_num=1;%某固定温度下目标函数值连续未改进次数计算器+ G6 U O/ Y- }) S5 j! s1 f3 |2 b
%iter_max=100;
- N* n0 R% S* S' W %m_max=10;%ceil(10+0.5*nn-0.3*N);
9 S) q/ \* u$ M7 i" m7 w while m_num<m_max&iter_num<iter_max; P* O! L( e9 Y8 N5 l' x' [
%MRRTT(Metropolis, Rosenbluth, Rosenbluth, Teller, Teller)过程:- }# H7 ~# S% Y" q2 }
%用任意启发式算法在path的领域N(path)中找出新的更优解
; a+ p' t+ N V' r8 N for i=1:pn
" @$ k4 z- w: C0 a Len1(i)=sum([D(path(i,1:m-1)+m*(path(i,2:m)-1)) D(path(i,m)+m*(path(i,1)-1))]);# c2 K( b, j5 u" H% A8 g9 c
%计算一次行遍所有城市的总路程 - T; i1 C8 N! e* S
[path2(i,: )]=ChangePath2(path(i,: ),m);%更新路线# x! I1 A+ u% d! _3 Q. u
Len2(i)=sum([D(path2(i,1:m-1)+m*(path2(i,2:m)-1)) D(path2(i,m)+m*(path2(i,1)-1))]);
! W8 _5 z+ a6 b9 V end
0 D- L1 [, i2 r; R& W2 O4 e %Len1
7 F4 Q5 e- O4 X* t& @- B C. E7 p %Len2
7 P0 r2 {, i3 p- \ %if Len2-Len1<0|exp((Len1-Len2)/(T))>rand0 |9 h$ i7 T. W* x
R=rand(1,pn);
# v$ ^8 D" N% X; s! F% z- ] %Len2-Len1<t|exp((Len1-Len2)/(T))>R1 P! ?. E( h. y, S8 Z6 J
if find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0)
# p, `# _' j9 d( M path(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : )=path2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : );
% A8 A- w' O3 c9 a8 X8 c3 N Len1(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0))=Len2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0));0 B9 C l7 N( V3 N+ g* _2 i, L+ F
[TempMinD,TempIndex]=min(Len1);
. K- n' X' T* n- [$ _ %TempMinD( l2 U% Q9 H. R5 S/ A% U: r# N
TracePath(N,: )=path(TempIndex,: );
) F9 K' m; ?& L D0 m, ?1 y |! Z Distance(N,: )=TempMinD;
% o8 [4 y6 \9 J: q N=N+1;" {, m# x& e0 M t% _. I/ P
%T=T*0.9
% k+ z+ I& y& q m_num=0;1 B, C$ y Y- j. ?- c. A
else
2 { d9 _; m# k3 s1 |3 D' ^ m_num=m_num+1;% N- J+ b# C. {5 R
end* j; v# e7 x# S1 j# Z
iter_num=iter_num+1;* D) |/ c+ p, |% b
end
% Z: O+ D3 t9 I1 l% R+ v$ o) K7 x T=T*0.9
2 A- w) c4 Z; r; T7 d%m_num,iter_num,N: ]# F3 H [2 L0 i* _
end 8 X! U+ E6 f' v N4 p$ _
[MinD,Index]=min(Distance);. A. t- `% K4 k! a
BestPath=TracePath(Index,: );
2 w1 T V# ^, ^disp(MinD)5 L( n! ~) I& s- D$ j$ `0 a
%T1=clock
( b4 ` L( }4 Q6 B) ` 2 U9 b. p- y' b: }
. B' g$ e1 a4 P9 Z* F, O4 C3 l
%更新路线子程序
0 J! {- d% e, i. ifunction [p2]=ChangePath2(p1,CityNum): O6 h% Y0 P% Y7 o: `0 z
global p2;
1 w5 A% @" U* c1 ~! Cwhile(1)3 [2 u; h: [( h: T! G; G
R=unidrnd(CityNum,1,2);+ V5 t i1 ?" u+ q3 n/ k4 }) Q& F
if abs(R(1)-R(2))>1* i1 V. \6 Z1 O) F) G, u
break;
& ]0 V* t; \% s w( ~% Y end; [& I+ D( S, `' L
end
' h v9 N' a/ Q" X: b' OR=unidrnd(CityNum,1,2);
- A2 z( p1 C6 `8 U* k- iI=R(1);J=R(2);$ h* ^* U: p/ C9 ^1 g
%len1=D(p(I),p(J))+D(p(I+1),p(J+1));+ ^2 X; k( I9 J4 N
%len2=D(p(I),p(I+1))+D(p(J),p(J+1));
0 [2 ?; y$ b* I' C$ f$ V* `if I<J
5 i( N; j# E& r. \ p2(1:I)=p1(1:I);
( ~% J* I( g/ u) J' U; f4 F, G# d p2(I+1:J)=p1(J:-1:I+1);
: I( q% ~# `* h4 J& H( J. X p2(J+1:CityNum)=p1(J+1:CityNum);
* i+ }: x2 F' Melse- S n1 Y+ V- F, Y5 a: p" R' E
p2(1:J)=p1(1:J);
* T$ u: D, Q% s p2(J+1:I)=p1(I:-1:J+1);4 _* Q4 i& @3 Q' D2 k' E0 j
p2(I+1:CityNum)=p1(I+1:CityNum);+ q1 Q c2 K* [' C& ^
end4 ]4 w; D; e7 g: m
4 r) P( @4 x! h六 遗传 算 法程序:
L2 Z' u( {/ }! E2 S 说明: 为遗传算法的主程序; 采用二进制Gray编码,采用基于轮盘赌法的非线性排名选择, 均匀交叉,变异操作,而且还引入了倒位操作!. |5 }" q6 Q& v! ]# X1 a
3 h5 D% E2 Y9 S" _, }% v: Pfunction [BestPop,Trace]=fga(FUN,LB,UB,eranum,popsize,pCross,pMutation,pInversion,options)
$ ^# c0 I3 p5 S( K& E% [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation)
+ h$ W* ?0 O# { z+ u7 u5 m7 X% Finds a maximum of a function of several variables.
0 C) B# E1 g- r* P& f9 A$ a- c8 G% fmaxga solves problems of the form:
- s+ l" q: H T- H) u5 o |% max F(X) subject to: LB <= X <= UB 0 B2 f9 x8 `4 K" L& w# r' w
% BestPop - 最优的群体即为最优的染色体群
: A- ~* P# A9 Z% Trace - 最佳染色体所对应的目标函数值
* O, M3 V' H7 c- n+ E8 M% FUN - 目标函数5 l5 _' w9 w9 M2 _: M1 h! k
% LB - 自变量下限
1 b' J$ z5 M! \- L0 X4 Q! V0 u% UB - 自变量上限! [6 c3 x; L h5 q- I
% eranum - 种群的代数,取100--1000(默认200)
9 ^5 c) J* D2 W& \: m3 c% popsize - 每一代种群的规模;此可取50--200(默认100)1 O; A( L+ Z- ^1 W- M6 A# o
% pcross - 交叉概率,一般取0.5--0.85之间较好(默认0.8)
7 ~/ O- r1 y) _" S# n% pmutation - 初始变异概率,一般取0.05-0.2之间较好(默认0.1)5 t6 F: H* d" c9 @: ]) e. |/ q
% pInversion - 倒位概率,一般取0.05-0.3之间较好(默认0.2)
1 v4 u2 |; e, u; ^! u! t7 h% options - 1*2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编7 v' K% @# T, t- b b# [: r% N
%码,option(2)设定求解精度(默认1e-4)3 k: X7 T8 m. B. k9 K# Y
%
9 E n. J2 j/ ], x q; P+ Q% ------------------------------------------------------------------------
9 s- e7 A: p& ~! Q" r
' {; c, t8 x) l1 K( f$ k: ?T1=clock;, q* i% h+ L( Y' A$ w
if nargin<3, error('FMAXGA requires at least three input arguments'); end9 U5 `! X7 Z% I% m+ V' g& L6 Q/ c! J
if nargin==3, eranum=200;popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end2 w1 s. o& c I: n2 d" p. P
if nargin==4, popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end0 `7 ^- ^ W) m) N6 j1 s2 v
if nargin==5, pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
* x$ d( `5 _: b7 I1 yif nargin==6, pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
" X u9 m1 _ Z* w: c+ cif nargin==7, pInversion=0.15;options=[0 1e-4];end! U3 ?1 l5 m. l4 E+ K% y
if find((LB-UB)>0)
% A8 g6 _. h- A& Q( H8 T error('数据输入错误,请重新输入(LB<UB):');& D. m9 Q6 z4 [+ J- ~( D4 W# \: D
end
0 N2 p2 f! }! A+ Q8 Es=sprintf('程序运行需要约%.4f 秒钟时间,请稍等......',(eranum*popsize/1000));2 n' j' \! [: O. h/ s1 C
disp(s);, B7 B- R5 ^5 F- a; _4 W6 o& ~
# k. i H# \! F; y7 Q- y! z! oglobal m n NewPop children1 children2 VarNum
6 M% A; G& E4 F1 ?" c5 C0 t0 h' Q2 y- E7 Q& t1 @- D/ T% v% ?
bounds=[LB;UB]';bits=[];VarNum=size(bounds,1);( k) `$ u3 b o
precision=options(2);%由求解精度确定二进制编码长度+ a! t e. m1 P# O/ Z+ f) s
bits=ceil(log2((bounds(:,2)-bounds(:,1))' ./ precision));%由设定精度划分区间/ W0 N0 b. I3 f* `) ?. }9 h( E A/ [
[Pop]=InitPopGray(popsize,bits);%初始化种群- Q5 f: f; f2 y9 `2 {
[m,n]=size(Pop);
7 J5 a: ~/ j" e q* ?4 Z3 A, \" fNewPop=zeros(m,n);
8 a# C& {2 D' ]8 f& ]: ychildren1=zeros(1,n);+ j. q: S" x& K
children2=zeros(1,n);& j8 M, D3 S) x+ ?2 t2 ^3 k! l/ F
pm0=pMutation;
: `" B+ R8 m2 }( ^0 lBestPop=zeros(eranum,n);%分配初始解空间BestPop,Trace
# ?; n' O9 D+ [) E0 M- u5 NTrace=zeros(eranum,length(bits)+1);
7 t1 @' j/ L+ k2 z2 ]8 Y( di=1;! }) }* U6 ?/ e: E$ o N
while i<=eranum
, {0 G* T/ z+ b4 F- N for j=1:m$ B; M, C6 {1 b& U) o: D* |8 A
value(j)=feval(FUN(1,:),(b2f(Pop(j,:),bounds,bits)));%计算适应度0 ]2 F( s8 Y5 W( K2 h4 x) Y) {
end u& _- _1 z# H1 a+ C: F+ H
[MaxValue,Index]=max(value);6 r) H" C/ D$ n
BestPop(i,:)=Pop(Index,:);
2 F2 j6 v* _5 O7 q Trace(i,1)=MaxValue;
, H5 o$ d- O1 T7 j1 j Trace(i,(2:length(bits)+1))=b2f(BestPop(i,:),bounds,bits);
& j7 [3 s" I* \, {& G; \ [selectpop]=NonlinearRankSelect(FUN,Pop,bounds,bits);%非线性排名选择
[! A& ~8 `- K; O[CrossOverPop]=CrossOver(selectpop,pCross,round(unidrnd(eranum-i)/eranum));
- {/ e9 E# F0 J T3 i+ L: \%采用多点交叉和均匀交叉,且逐步增大均匀交叉的概率( X% t7 _0 L' N6 E; K, {7 V
%round(unidrnd(eranum-i)/eranum)
7 Q+ l: o' d! X [MutationPop]=Mutation(CrossOverPop,pMutation,VarNum);%变异
% w* A9 z+ [8 V- `9 ^6 p0 g [InversionPop]=Inversion(MutationPop,pInversion);%倒位4 n4 r- z! p, p" S- j- H
Pop=InversionPop;%更新7 m1 o3 n( ^& @' C
pMutation=pm0+(i^4)*(pCross/3-pm0)/(eranum^4);
! Z& Y7 O1 `$ ^%随着种群向前进化,逐步增大变异率至1/2交叉率
]2 D! G8 G; x! q H, u p(i)=pMutation;; \# S0 a* A' w8 ~1 n$ a: R3 ^
i=i+1; k4 ?% Y7 \. ?8 f( d( b
end
1 k) K7 m# {4 g" j1 \3 L( it=1:eranum;
$ r% N! M( r! yplot(t,Trace(:,1)');- G. v+ K8 s8 e6 E0 n7 d
title('函数优化的遗传算法');xlabel('进化世代数(eranum)');ylabel('每一代最优适应度(maxfitness)');$ r8 @. f- V& m
[MaxFval,I]=max(Trace(:,1));; k# }" q w+ k% A3 {! D; L
X=Trace(I,(2:length(bits)+1));* z# j5 R; b: @% R- H4 O
hold on; plot(I,MaxFval,'*');$ ~& z7 q! Z' a3 z# ~2 y- j9 E+ Q
text(I+5,MaxFval,['FMAX=' num2str(MaxFval)]);
R F5 F' `: y0 Kstr1=sprintf('进化到 %d 代 ,自变量为 %s 时,得本次求解的最优值 %f\n对应染色体是:%s',I,num2str(X),MaxFval,num2str(BestPop(I,:)));
3 S5 i6 C: }* l! N5 I1 H; ydisp(str1);
- P* x- y* I/ t4 r/ R' N%figure(2);plot(t,p);%绘制变异值增大过程7 B. l" R3 I) Q# S- S
T2=clock;( r" M. A/ ]9 B5 g* i3 `) J
elapsed_time=T2-T1;
; @5 _3 W w/ N$ c9 d. l4 V9 ? fif elapsed_time(6)<00 v q& [ e9 W$ }# u
elapsed_time(6)=elapsed_time(6)+60; elapsed_time(5)=elapsed_time(5)-1;& t2 q3 D: x+ t' I9 r" s
end3 q: {9 g/ n( |( c' n+ c
if elapsed_time(5)<04 m7 e- m2 E( k: [
elapsed_time(5)=elapsed_time(5)+60;elapsed_time(4)=elapsed_time(4)-1;8 V1 S7 F' Z) b2 } J
end %像这种程序当然不考虑运行上小时啦& Y7 \+ p9 L! q( C3 [5 v9 Y/ v
str2=sprintf('程序运行耗时 %d 小时 %d 分钟 %.4f 秒',elapsed_time(4),elapsed_time(5),elapsed_time(6));
4 u) a7 o. @/ Vdisp(str2);
, E% d ] F; N, B& ^( k6 H; b$ t }( Q: O) H6 M M
: e7 l9 Y; L) s
%初始化种群
; m' X5 m$ B0 U0 d, k+ n%采用二进制Gray编码,其目的是为了克服二进制编码的Hamming悬崖缺点! j# B0 v3 `; y1 I
function [initpop]=InitPopGray(popsize,bits)
8 T) Q0 h Y6 j; v7 O! ~4 h4 s. q; slen=sum(bits);) q+ c: t- f- Z. j: X3 M* A3 J" w
initpop=zeros(popsize,len);%The whole zero encoding individual
6 I" D4 ?/ P; d% P' r9 Z5 nfor i=2:popsize-1
% P% o, k6 O( U) h4 I4 p8 U pop=round(rand(1,len));
. c+ V1 T! b2 p4 ?- [4 J, Z( g3 o pop=mod(([0 pop]+[pop 0]),2);
. `3 e' Q* z/ Y3 T+ v4 U1 s, s %i=1时,b(1)=a(1);i>1时,b(i)=mod(a(i-1)+a(i),2)% |5 @4 V2 y* A8 {' l
%其中原二进制串:a(1)a(2)...a(n),Gray串:b(1)b(2)...b(n)
, E7 r, O2 l0 r8 Q! g# h. n8 G. W initpop(i,:)=pop(1:end-1);
) ~6 ~) e% Z; b4 X7 Q$ H C/ Eend# r2 I; ?9 v( u: \( B/ v
initpop(popsize,:)=ones(1,len);%The whole one encoding individual
( y* q( ^& q* ]3 o/ a- q) s; Y%解码) S4 }& c u! f, f# |0 M1 ~* l8 |
1 G: n. l" y( K: U% J! mfunction [fval] = b2f(bval,bounds,bits), ~- S$ s: J- O0 N2 a. e
% fval - 表征各变量的十进制数
1 [/ Q- l' v3 h0 d% bval - 表征各变量的二进制编码串
6 C, L' O9 B2 u0 v5 I! V" f% bounds - 各变量的取值范围" C& J( M1 T" \+ y1 Q# Q
% bits - 各变量的二进制编码长度
, }) w5 ?( c! a, Dscale=(bounds(:,2)-bounds(:,1))'./(2.^bits-1); %The range of the variables
0 L8 |2 r8 l% i bnumV=size(bounds,1);% g9 ]8 c9 ]8 [. d y, e8 \
cs=[0 cumsum(bits)];
+ G$ U$ m B s+ e1 Afor i=1:numV( ]0 i" g d, q( K( R2 L; l
a=bval((cs(i)+1):cs(i+1));. X4 w1 T0 O& F& u
fval(i)=sum(2.^(size(a,2)-1:-1:0).*a)*scale(i)+bounds(i,1);
3 K2 n' r/ `, A* `; j3 K* Wend
|8 \, `) K. n2 Z%选择操作' I: W) _" h9 i$ s& M
%采用基于轮盘赌法的非线性排名选择8 w( q* I N- |' [) r% K; L
%各个体成员按适应值从大到小分配选择概率:# G7 U8 q0 Q8 P6 J8 V; v7 J
%P(i)=(q/1-(1-q)^n)*(1-q)^i, 其中 P(0)>P(1)>...>P(n), sum(P(i))=1. g4 c) Y7 a% |2 _( ] f( m% Q* G3 i
1 u2 n' r: \0 r. j# o s9 ~* Vfunction [selectpop]=NonlinearRankSelect(FUN,pop,bounds,bits)& [/ R/ |4 R! U N2 \) S8 i
global m n% E/ ? [) U4 A
selectpop=zeros(m,n);4 l+ T5 P# M" Z/ e! t6 e
fit=zeros(m,1);
9 @ \3 u! E. ]) n, W+ Ufor i=1:m
# h3 j) D8 v0 U" I/ w V5 f fit(i)=feval(FUN(1,:),(b2f(pop(i,:),bounds,bits)));%以函数值为适应值做排名依据
7 F+ H- `2 W: S9 v r/ Dend0 E+ h) [$ t5 w! `
selectprob=fit/sum(fit);%计算各个体相对适应度(0,1)
6 l; h v3 [% S% e, N2 Jq=max(selectprob);%选择最优的概率9 O5 b+ C9 [# A* Z
x=zeros(m,2);8 e* o; a2 ~5 X0 U6 g1 T. p
x(:,1)=[m:-1:1]';; J3 P/ U7 A$ \
[y x(:,2)]=sort(selectprob);0 h. D% i) z' X- o! u
r=q/(1-(1-q)^m);%标准分布基值0 ^# ~' m) h, c( j6 [- W6 C+ ? V
newfit(x(:,2))=r*(1-q).^(x(:,1)-1);%生成选择概率* p( W" ?' C) M- f& s
newfit=cumsum(newfit);%计算各选择概率之和7 D: ~: E; N5 |
rNums=sort(rand(m,1));
5 c5 ~) A# s' Y( g. }fitIn=1;newIn=1;. D; b9 Z( L4 r7 a0 P
while newIn<=m; H! I$ J% X' O' v# V
if rNums(newIn)<newfit(fitIn). ~: h. Y$ P: w7 J2 \6 p! X
selectpop(newIn,:)=pop(fitIn,:);" z; ?! }# G; r' R- T/ b
newIn=newIn+1;' ^. A: b9 E: B+ i2 R
else
2 X: H' e6 p, `; s6 @; i fitIn=fitIn+1;
8 R Q# V9 I+ G5 C5 R end
8 z, K3 ^0 w/ V: g5 L3 p# Zend" y& H* n* L( j; c& }7 m
%交叉操作
) b% z. w. ^7 l$ l ~6 z p6 bfunction [NewPop]=CrossOver(OldPop,pCross,opts)) d9 [8 {/ k2 k- c0 [
%OldPop为父代种群,pcross为交叉概率0 c6 |; O" |$ v- h3 {( q
global m n NewPop
+ N A5 T0 O8 V. yr=rand(1,m);$ V' P% v+ {! z3 j& k( C" D
y1=find(r<pCross);
! c1 W' ]# F* s" Z0 N* _, Ay2=find(r>=pCross);+ ^6 Q! [" j+ x8 S' d) r
len=length(y1);
) ?, l3 s8 u( L& @if len>2&mod(len,2)==1%如果用来进行交叉的染色体的条数为奇数,将其调整为偶数
' k9 D8 R; i+ X V y2(length(y2)+1)=y1(len);& b- Z$ D7 o" e d
y1(len)=[];
0 |' [5 ^6 ?9 z5 z# kend
" Z1 H0 z0 @7 f- C uif length(y1)>=2: o7 `1 X- s$ F G" Q, }: m
for i=0:2:length(y1)-29 w. h# e0 O& H( Y% l
if opts==0
; k2 u$ }% i1 V) @/ t+ F [NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=EqualCrossOver(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
5 S% r4 d% g5 t7 W8 ]' ] else" u) X* `$ i+ E5 W8 i; {9 M
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=MultiPointCross(OldPop(y1(i+1),:),OldPop(y1(i+2),:));6 d) c$ ]- D& F, g
end
" x6 r1 u# ~5 Z% y) p. e- K end - {3 I- ]8 ?0 a8 O! Y9 o. e
end2 ]; h- Q0 j4 C! a1 N8 J
NewPop(y2,:)=OldPop(y2,:);
9 p/ G; C' ? ^+ R
/ e" p( y7 b5 i2 [%采用均匀交叉 5 q6 Z' x+ z/ y! S8 S
function [children1,children2]=EqualCrossOver(parent1,parent2)' E$ @' ]- T- }) h5 c y
7 D% ~. E1 W) M2 w" H3 O5 j0 x+ cglobal n children1 children2 $ t# E! V7 t# z" r& L, a. k3 v
hidecode=round(rand(1,n));%随机生成掩码5 J$ w' ]( ^1 N0 c
crossposition=find(hidecode==1);) [. i6 @% X3 v2 |3 o
holdposition=find(hidecode==0); O+ k* l: k9 H+ ]; m
children1(crossposition)=parent1(crossposition);%掩码为1,父1为子1提供基因) N& a# b G" }, c# v' U4 p9 X X
children1(holdposition)=parent2(holdposition);%掩码为0,父2为子1提供基因5 C; P! `1 ]& D+ T3 g! q* h1 y
children2(crossposition)=parent2(crossposition);%掩码为1,父2为子2提供基因. V5 @# C# {+ u& |
children2(holdposition)=parent1(holdposition);%掩码为0,父1为子2提供基因% }3 j) T) l. v; l- J1 I- v8 k5 r
0 q& t! B$ G8 Y7 u1 n: a: r%采用多点交叉,交叉点数由变量数决定; G; Y {1 a3 G" m
7 C' D. b! t1 Y: |2 R7 X; Vfunction [Children1,Children2]=MultiPointCross(Parent1,Parent2)
& C2 k; L6 ]( v
$ b. Q! Z: E+ w+ D: N2 jglobal n Children1 Children2 VarNum
, _* W% K6 g8 I( Q; _* K, v5 `: RChildren1=Parent1;
* m/ C1 j' g3 o$ s1 ]3 ZChildren2=Parent2;
% R( R) ^; M0 s6 tPoints=sort(unidrnd(n,1,2*VarNum));8 ?7 y( o4 {$ E% F9 b/ _1 n, W
for i=1:VarNum
5 j1 N: f* W u+ y4 X/ ] Children1(Points(2*i-1):Points(2*i))=Parent2(Points(2*i-1):Points(2*i));* ^) r: }( {0 I6 v
Children2(Points(2*i-1):Points(2*i))=Parent1(Points(2*i-1):Points(2*i));0 ~ z( a" M) n5 y: `
end
* @: \2 b: |5 F5 U; V
) \1 |& H: H& w/ }. e8 ?/ V; f3 \%变异操作, A( \0 ?% M* M' U' ^2 L
function [NewPop]=Mutation(OldPop,pMutation,VarNum)6 t, R! n& ^1 |$ A- P( H* u: o
8 L$ e; } L% ]$ O+ V4 cglobal m n NewPop$ [& a& p0 V9 E6 ^$ `; j8 y
r=rand(1,m);7 a: l* i/ X% [
position=find(r<=pMutation);, q" h, H' O" Y! M) h9 X
len=length(position);
% y7 w$ Q' ?2 O0 u; p4 Xif len>=1( @* ?( G: j$ N: ~5 V
for i=1:len' l8 c" T# Q$ l+ l F
k=unidrnd(n,1,VarNum); %设置变异点数,一般设置1点( D/ g) s& Q) W3 S# s9 j! R+ w: }; t
for j=1:length(k)
" T4 Q- c' t4 t& q2 f if OldPop(position(i),k(j))==1
+ v. s# g5 y' v+ @ OldPop(position(i),k(j))=0;" b2 z8 `, ^0 A0 V# N" @0 Y+ F
else
; F: Q# d9 D/ T3 y* n OldPop(position(i),k(j))=1; o* G. D$ |; X8 d. Q; T2 @% W
end
) X. H4 t: L: K end, U- G* Y8 P. {5 O1 j @1 E
end& l9 i' B/ n9 F; |2 T
end
/ ^) y5 ]& C0 }/ P+ Y DNewPop=OldPop;
, j, E0 C- t. u/ D- r0 S- y. Q& }& z2 U Y2 i
%倒位操作" h6 _! G2 Q- H7 G" Z! b, V, C: |' b
$ P- I. m3 N- T2 |2 {7 k& t3 |function [NewPop]=Inversion(OldPop,pInversion)
5 ^" b( T/ y. {# I6 R* R+ m9 E9 z; _8 S/ c# H, e, u
global m n NewPop' S( @) |1 V9 R$ T6 ~$ i) Y
NewPop=OldPop;* R% |. S& h. f) P
r=rand(1,m);
4 q+ P& v; }3 SPopIn=find(r<=pInversion);& z j( u3 e, ^3 V! I
len=length(PopIn);! A5 b4 z" J6 a5 q* A# @ Y9 T+ `
if len>=1
- S9 l! B/ C0 Z2 Z- W* O/ c; c for i=1:len9 i- B$ G# q8 o1 S- T
d=sort(unidrnd(n,1,2));
& H( D7 ~: O8 P: X" b' B/ W; i if d(1)~=1&d(2)~=n* \ o; T$ ^0 z0 {8 \/ F* a
NewPop(PopIn(i),1:d(1)-1)=OldPop(PopIn(i),1:d(1)-1);
9 S- E4 |) h3 @0 k8 [! h NewPop(PopIn(i),d(1):d(2))=OldPop(PopIn(i),d(2):-1:d(1));, P. J/ u' i$ ?( \
NewPop(PopIn(i),d(2)+1:n)=OldPop(PopIn(i),d(2)+1:n);
. [% N2 J5 O- b end
1 r) J) `2 J" h" `! K! V end7 R; M$ Z- |9 y
end$ k1 n! ^, z$ g* y+ s
. k, }) N6 O& K) n
七 径向基神经网络训练程序
2 v7 f3 ~- x3 C, X% }6 ]3 k$ g
! L4 C! J7 N8 `% i4 P% V- T7 ]clear all;
! I6 r x5 N( I' @clc;$ n L, f6 j- [6 c/ G, `/ ~1 }
%newrb 建立一个径向基函数神经网络
: O) t1 w+ b( u# W2 gp=0:0.1:1; %输入矢量* U; Z3 K c: p6 V' v
t=[0 -1 0 1 1 0 -1 0 0 1 1 ];%目标矢量
; J w: W* [5 q6 ^# s- lgoal=0.01; %误差
3 G; u U. ~( X( xsp=1; %扩展常数' ?; Z. p3 T @
mn=100;%神经元的最多个数+ i' J+ z1 t+ w# D# C. m0 r; W
df=1; %训练过程的显示频率& C& F/ `% s) J4 ]
[net,tr]=newrb(p,t,goal,sp,mn,df); %创建一个径向基函数网络7 h% w4 @ A/ x! W4 T0 b
% [net,tr]=train(net,p); %调用traingdm算法训练网络
% e" U- U2 V( e9 O- ^9 Q%对网络进行仿真,并绘制样本数据和网络输出图形0 i4 ~% i6 B) i9 R, a$ a9 x7 E
A=sim(net,p);" o9 U" T' S9 w5 a4 G4 V
E=t-A;- f' _6 t7 I; a) F, x/ X1 l
sse=sse(E);
( p7 r N8 [& S3 F( G! Efigure;
+ f, |: H9 u% G/ Y7 b+ vplot(p,t,'r-+',p,A,'b-*');$ K! X8 O4 m0 R$ h/ Y7 d4 U) `
legend('输入数据曲线','训练输出曲线');( H p2 Q, D1 @1 s9 V
echo off
, }* \9 W1 O9 {- |% G! C7 s/ H; B, s8 E, U+ f
说明:newrb函数本来 在创建新的网络的时候就进行了训练!1 @0 y- I5 y! A* a' Q) r
每次训练都增加一个神经元,都能最大程度得降低误差,如果未达到精度要求,. }: ?2 Z4 t& w; u
那么继续增加神经元,程序终止条件是满足精度要求或者达到最大神经元的数目.关键的一个常数是spread(即散布常数的设置,扩展常数的设置).不能对创建的net调用train函数进行训练!% ]6 L( L# ^9 g* `" _3 }2 |
8 X! P Y. y. @9 z* b Q Z9 d& G$ ?, a' D+ X' H( N% {- U* ]
训练结果显示:
- l7 K# e1 g" P; U) O- J* t. XNEWRB, neurons = 0, SSE = 5.0973# C$ i9 @- m3 J4 |3 V* l
NEWRB, neurons = 2, SSE = 4.87139
, x- c( Z' J" m5 FNEWRB, neurons = 3, SSE = 3.61176
[; [" g& H8 c1 o1 uNEWRB, neurons = 4, SSE = 3.4875$ T i/ I, I0 ~
NEWRB, neurons = 5, SSE = 0.534217( @6 ?- Y, D; U0 j
NEWRB, neurons = 6, SSE = 0.51785. P# w% B" O7 }. X: W4 l' a
NEWRB, neurons = 7, SSE = 0.4342593 p4 j* O- Y! T, @" y9 w
NEWRB, neurons = 8, SSE = 0.341518
! M9 W; F# V6 z( H# r3 z$ R" W+ {NEWRB, neurons = 9, SSE = 0.341519& k; L% J2 g% |1 L
NEWRB, neurons = 10, SSE = 0.00257832& s/ S% S5 _3 K5 D8 h
) ^5 p" z/ J" E- y( [
八 删除当前路径下所有的带后缀.asv的文件
' b s% @" ]1 {: N2 j0 t说明:该程序具有很好的移植性,用户可以根据自己地4 K7 F4 v/ k3 S/ t, b4 `0 I
要求修改程序,删除不同后缀类型的文件! ) a, a1 Q4 ]& u- ]) M4 i
function delete_asv(bpath)
* B: v- b2 q! U- @" M5 T) u%If bpath is not specified,it lists all the asv files in the current
* ]# V9 K9 n$ G! H w3 ]8 E0 P5 D7 X%directory and will delete all the file with asv
4 A0 `2 X/ y6 _3 ~2 _% Example:
+ G3 C9 s# R' m( ^5 _9 Q% delete_asv('*.asv') will delete the file with name *.asv;1 S' c( Q& @; l' j2 b9 J- K
% delete_asv will delete all the file with .asv.
2 a5 B* G: }2 ~) s; C, E- @. s5 \- A$ w6 B- |( v
if nargin < 1
; ?/ F/ n$ D! u& S9 a0 D9 r%list all the asv file in the current directory" @ O/ n0 }' j" C
files=dir('*.asv');
# Q/ w# g6 c( T! `- [' `( A. lelse! l' B7 ^& {7 p% _' E+ M- _
% find the exact file in the path of bpath
: e! M% a( I3 t [pathstr,name] = fileparts(bpath);+ b5 _3 \: y5 Q6 D
if exist(bpath,'dir')
# ?& k% G) ` D* K# Z0 |. X name = [name '\*'];6 f! x- R; O z
end
. B: ]7 c0 B- D ext = '.asv';' Y2 q. H0 ?+ o- \- [( f9 L) O
files=dir(fullfile(pathstr,[name ext]));
1 M' N9 w5 @" t* Eend
7 F2 l! i3 K$ p, c) w! S& g, y. N {
3 ~2 f0 }; L! x4 d6 Oif ~isempty(files)
# P' Z! t# h& a& W H for i=1:size(files,1)
. D- A; q' V; @ title=files(i).name;
' \+ t; ]; G; S: Z delete(title);
4 l6 T% N& D7 { end) r6 o0 l+ Y% y6 y8 B: b
end
3 S1 o7 r. K8 L; t
) q- V5 h* `4 x& s0 {0 P2 _$ L3 f9 s5 p. S1 Y: L
同样也可以在Matlab的窗口设置中取消保存.asv文件!
9 H2 f R- }; |; {4 o8 \6 E |
zan
|