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升级   48.42% TA的每日心情 | 开心 2016-11-7 00:15 |
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签到天数: 7 天 [LV.3]偶尔看看II
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一 基于均值生成函数时间序列预测算法程序7 j: f# |# t& W- {- [" E! O3 j
1. predict_fun.m为主程序;
) X: L) A: g: m1 Q1 |* J' f2. timeseries.m和 serie**pan.m为调用的子程序
( q6 \9 I) j/ j: y s7 `7 U: H5 Q1 |( }0 ~+ p3 w! A+ \
function ima_pre=predict_fun(b,step)
7 v( w4 |2 F% I% x; C$ l1 n, K% main program invokes timeseries.m and serie**pan.m6 G; A) c) M1 G& l, M% j6 H
% input parameters:
/ q0 c1 b2 w* q, ^8 u, Y; E% b-------the training data (vector);8 i5 P1 g* s. H3 l7 O' p! r
% step----number of prediction data;
2 z1 e5 N2 R. T5 c' A5 Q0 N! j% output parameters:1 k3 O+ z0 \0 Q4 \, {, R
% ima_pre---the prediction data(vector);
5 k' l! C& O9 `: W4 Rold_b=b;9 F' h2 D$ F2 V6 g2 D* A) n: A9 T
mean_b=sum(old_b)/length(old_b);+ `6 k; \) b- `
std_b=std(old_b);1 h4 A. q% L+ ? y4 `
old_b=(old_b-mean_b)/std_b;+ t( L$ t. ]7 h2 c. g Q# s
[f,x]=timeseries(old_b);
8 }) E1 _% n0 \. nold_f2=serie**pan(old_b,step);
$ j# i/ S" t( v5 ^. P: P% f(f<0.0001&f>-0.0001)=f(f<0.0001&f>-0.0001)+eps;( z% s( s% a& y% e
R=corrcoef(f);7 w1 m- T5 r: f" f: L7 Q; Y
[eigvector eigroot]=eig(R);: ?! p# s) C M* J5 U: Q3 K
eigroot=diag(eigroot);0 a- D3 T, @3 B' M b1 J* _
a=eigroot(end:-1:1);+ V9 Y) o+ K! s- N- }
vector=eigvector(:,end:-1:1);3 ]- B* @1 A& c) e
Devote=a./sum(a);, f( E5 g7 R, H2 R
Devotem=cumsum(Devote);5 E; [7 V; s. y3 ^2 e& }4 P: u, b
m=find(Devotem>=0.995);( p4 v0 R4 K0 n0 Y% K
m=m(1);& v `. l/ f" ?3 O, x
V1=f*eigvector';
/ n5 w7 {. B& `& \! MV=V1(:,1:m);
, F2 S$ u* m/ M. p3 g/ T: ^% old_b=old_b;" p# }0 M4 j: H0 d2 I$ b* E, ^5 y
old_fai=inv(V'*V)*V'*old_b;
. `# ^# |- h" B9 G) I+ r+ N+ [eigvector=eigvector(1:m,1:m);, j/ X7 k5 _7 f) x0 N
fai=eigvector*old_fai;5 g8 y. [: \0 B$ B$ I, ?
f2=old_f2(:,1:m);
0 f8 I* B" \$ N7 \! K/ Ypredictvalue=f2*fai;3 Y3 ^" h; I& _3 y# c$ P7 r
ima_pre=std_b*predictvalue+mean_b;
0 X9 D8 H7 r- Z3 n- n8 u. e4 p* Q+ I0 I& N
1.子函数: timeseries.m ( B/ O+ O8 n3 R# K
% timeseries program%# c: P3 M* ?. M/ X; h1 m
% this program is used to generate mean value matrix f;
H7 o! J- K! Y! g; Y. ^0 i) ~function [f,x]=timeseries(data) . d- h8 E, ?9 b. B# c! Z
% data--------the input sequence (vector);1 k' O! I: p+ ?9 A& }5 s
% f------mean value matrix f;
$ K0 Q& j; L! N# S: Z* ]6 Kn=length(data);
1 v( E) l5 E2 w& u( M5 I$ G- `for L=1:n/2( \" m. y; E9 I1 A Y1 F
nL=floor(n/L);, f( e2 C( }4 {- m i
for i=1:L! q V& T- E V o `
sum=0;
( L }# M* P% e) ]# q for j=1:nL
, I" ^2 x9 u7 K sum=sum+data(i+(j-1)*L);
; y+ ]+ H! G& l- t1 f) O end7 y" J: k) G5 w; H6 Q
x{L,i}=sum/nL;
7 B, R! {) T! M3 P8 a% D end
! x8 M% @ y( @6 `end P: L' @; ^! ^; v
L=n/2;
, ^3 I! d' n. |* X4 Q6 w4 g) jf=zeros(n,L);
0 o- }9 j" z4 {- e9 q9 ufor i=1:L
) J. a# j; e/ r" |% b$ M rep=floor(n/i);0 j( P$ \) M9 m
res=mod(n,i);
) h( [5 N0 j1 h+ [; ^+ Y b=[x{i,1:i}];b=b';+ w, P- E9 O: ^0 e8 k
f(1:rep*i,i)=repmat(b,rep,1);
) }9 X8 X; V5 ]+ \ if res~=0$ p; o2 E/ M0 H
c=rep*i+1:n;
~* g# ^' ~: c/ @& M7 x* k/ ^4 H f(rep*i+1:end,i)=b(1:length(c));% n6 O' R5 U2 z+ J4 p6 w0 j% j
end
: v, H9 L" J8 d) ]5 R4 rend1 J& X' {. \# [5 r& Z; G
+ {0 Y8 Y9 ^8 f5 z
% serie**pan.m
6 W: u2 }1 m$ c% the program is used to generate the prediction matrix f; 9 T' L: l2 n4 B3 y; ~/ h
function f=serie**pan(data,step);
# h" [! g* g F5 \; I%data---- the input sequence (vector)
+ p3 O: H. d* m) P% setp---- the prediction number;
4 ] E" M+ M/ m/ f5 v$ Z& b' j7 ln=length(data);, I% Y9 e$ B8 J. Y7 i4 E) i9 D! [
for L=1:n/2* ^, ]% f/ ~( [' M
nL=floor(n/L);6 S% H8 ?# K, {! s+ i- g
for i=1:L8 I, R. r6 I, D
sum=0;
' b" V, [ Z4 N* g for j=1:nL4 N; f5 M4 K, c2 b. r- ]
sum=sum+data(i+(j-1)*L);0 x7 ?% x8 s0 O' K$ O
end2 m. a0 i, r o- V9 L6 j6 i
x{L,i}=sum/nL;
. B4 ~7 E, j: s end
/ {$ Z' k) Q! g5 l, Zend4 d# g* N8 B' }. j* M1 t
L=n/2;, x& l, ?; k& H5 `4 e% _7 K
f=zeros(n+step,L);6 P4 l' L( S- L& @- Z0 u, N
for i=1:L; l2 P+ i3 m' i+ G
rep=floor((n+step)/i);
. U3 m. }1 k2 `! Z. ?9 b8 ]+ t$ i res=mod(n+step,i);
! t/ s7 a9 l, G ] b=[x{i,1:i}];b=b';
: i& v; [% F: X1 X1 i f(1:rep*i,i)=repmat(b,rep,1);
5 E5 N* c; p) ^4 n3 W if res~=0% M/ M& M& h2 C
c=rep*i+1:n+step;4 x; r( m+ R/ w" b! S
f(rep*i+1:end,i)=b(1:length(c));, z0 Y+ o1 |) B) ~* P: w4 K
end6 M: ]! ~; n0 j- r% }
end0 C+ p# J& Q3 M, E9 l& D- `
* D$ K4 A* `; `% r1 P二 最短路Dijkstra算法. l0 o6 V/ i5 D- U& K
% dijkstra algorithm code program%6 I' f: ?# \! `0 A, x4 |* D
% the shortest path length algorithm
2 a0 d; n+ ~: L% J5 R% ^6 T) p& V4 Tfunction [path,short_distance]=ShortPath_Dijkstra(Input_weight,start,endpoint)
4 z5 \' _. _/ V J ?; n( J% Input parameters:
* D6 o- \" h* u, j5 o! X% Input_weight-------the input node weight!
- Q( y5 z3 R9 y. D9 G0 k) z( g% start--------the start node number;
3 P8 ]6 G- }2 J. ~( }% endpoint------the end node number;
6 X. W7 m: ?9 Y% Output parameters:
% L: e+ W5 y, s& w5 }9 T% path-----the shortest lenght path from the start node to end node;4 g% Q3 l# v+ t2 ?) F4 v( l
% short_distance------the distance of the shortest lenght path from the6 G! e; P$ {8 [$ A6 N y! m; ~) q
% start node to end node.
4 m5 R3 g0 w/ J/ R& u* k% u4 W[row,col]=size(Input_weight);0 B5 p% L9 r$ ?8 c
. u5 X, k" W$ x. C
%input detection
; u b- U, c' z2 n0 Fif row~=col
; e; V3 k- |. b" [& e error('input matrix is not a square matrix,input error ' );* \) S& u9 C6 O5 r! b6 b: O! b
end* W# ?. i4 e; }+ y6 B! N) v( C7 ^3 G
if endpoint>row" c9 M- {4 _$ y. s) }& p
error('input parameter endpoint exceed the maximal point number');
+ T, B" }% f l9 R, lend6 ?% H4 ~* F- O6 c# J' _2 V% K
' B. ]- n; i2 v8 m- @9 g) F3 |
%initialization
' D3 N S, l: cs_path=[start];
( [ Q5 @& `) }distance=inf*ones(1,row);distance(start)=0;8 F. b- C, Y# W! r% [
flag(start)=start;temp=start;
- B: o$ t& e( E, Y
, d1 m# c0 w; n* s: J1 _& W) m z" Swhile length(s_path)<row5 {' j; U1 j4 w9 ]" y
pos=find(Input_weight(temp, : )~=inf);
4 `6 F' r* n: _7 x6 |4 J for i=1:length(pos)7 F5 u9 Q$ l$ C" t8 R" f$ h
if (length(find(s_path==pos(i)))==0)&
& D; z6 k4 u! s) i3 C7 L5 u3 h$ }+ s# O(distance(pos(i))>(distance(temp)+Input_weight(temp,pos(i))))
/ Z( R$ r3 O/ O& I, T distance(pos(i))=distance(temp)+Input_weight(temp,pos(i));7 I9 x8 L6 S" b. R( ? v
flag(pos(i))=temp;
- m1 |8 d: @% i8 }$ S" v8 I end
# u# Y+ m4 |$ G" r( B" ~1 a; A end3 u1 K! D8 x# _* Z
k=inf;: H" b4 v/ `9 C3 ^- Y7 `3 G
for i=1:row9 b$ q# T' D9 P9 n/ y/ \
if (length(find(s_path==i))==0)&(k>distance(i)): \8 j2 C' e; T& m" \8 }
k=distance(i); S% ]4 r+ K; k- f# @- `
temp_2=i;" S; c/ W- R; N T% V$ b
end5 q1 e* {- ?# r; |
end
' j4 x+ ~6 j6 |1 v7 R1 S/ q s_path=[s_path,temp_2];1 ]* a! J* Z0 I7 S' ?
temp=temp_2;8 R. N D. Q; |4 D: Z. N
end6 `% u% G( p( t7 p: c
9 _+ Z) t' X6 ]" h& o%output the result: O, J4 k! {; M% w& D' K
path(1)=endpoint;
, i7 H: u; l' K p n8 Gi=1;; y. S% z4 m5 Y
while path(i)~=start) [/ n0 O9 j" }, |8 ?
path(i+1)=flag(path(i));
/ V2 C# T( G# y O3 \9 C i=i+1;
' O3 N1 W( _, T$ q2 j" Gend
# E: V9 D% \4 p3 v& L& ypath(i)=start;
; e& I8 R: w( c# P- f) Wpath=path(end:-1:1);
+ }3 @# x; a- e9 M( nshort_distance=distance(endpoint);
; w! T \# P7 Z2 i; \6 ]& q+ L& v三 绘制差分方程的映射分叉图7 t& D7 s+ A- _! W5 P* O9 K/ I
, w% L/ C, E! n1 l( n+ W, Y6 Z2 Wfunction fork1(a); 6 ~! x( Q* ~1 ~7 i
3 L8 X6 X3 y! v0 F8 N% 绘制x_(n+1)=1-a*x^2_n映射的分叉图
% C- U6 b# o! x4 |% Example: 7 V) k) B7 k! a! n3 p
% fork1([0,2]); 7 Y. k$ o" [: R: g5 ~1 N! H2 z
N=300; % 取样点数 * r4 \% Y! g2 u6 P' ^3 h' w6 a* c. ^
A=linspace(a(1),a(2),N);
& o9 Q* D+ F! ustarx=0.9; 2 F) _1 o6 y% U
Z=[];
% @, Y9 U- w2 Xh=waitbar(0,'please wait');m=1;
8 O9 J+ p7 B9 P# {+ _for ap=A;
" I. I) V, I% y. W4 c: u% v x=starx;
6 G7 r. v5 E+ L6 n& P1 ~. t for k=1:50;
2 N+ ]3 n5 J; |! m x=1-ap*x^2; 8 @. f7 z; V# b+ p; A1 m- M
end
- {# c' d% l' t c for k=1:201;
% P9 j) _; p, `4 { x=1-ap*x^2;
" ?( `5 D* \$ p. m Z=[Z,ap-x*i]; : o/ T: G2 z9 s: x4 `
end
8 K/ f8 @' G$ m. L waitbar(m/N,h,['completed ',num2str(round(100*m/N)),'%'],h);3 l. h, [* F5 x: r
m=m+1;
' R7 ?5 a' I% x9 f: }end
1 }! \+ @& t2 B9 z- {& \' [delete(h);
& C- z& N* f( u, E! k) Tplot(Z,'.','markersize',2)
- u! k4 u4 z' \" o. |2 A: Rxlim(a);
, U, z0 Y" P& a. i5 G6 t4 c1 v% [4 ]; k- g
四 最短路算法------floyd算法
7 {8 r7 d9 {: p- ^$ h- i4 Q4 M C S# wfunction ShortPath_floyd(w,start,terminal)
, Y n, ^2 b9 f: K! C4 N* H4 w" v4 h%w----adjoin matrix, w=[0 50 inf inf inf;inf 0 inf inf 80;
. a4 m& X& s) E5 K%inf 30 0 20 inf;inf inf inf 0 70;65 inf 100 inf 0];
/ C, x, A: c. @; ]: k( i! Y%start-----the start node;
/ }9 i% u# ~; H2 h3 Y2 q%terminal--------the end node;
( o/ P9 O, f _) Un=size(w,1);& `: B! z- Z) ?& s7 h% g+ m7 }' Y# G
[D,path]=floyd1(w);%调用floyd算法程序
- ?" o* ]' w1 [1 K. S4 d" h) j' w& b% j: M8 ~
%找出任意两点之间的最短路径,并输出% _: [; ?/ P P
for i=1:n
, A; l! x" C: S$ g @ for j=1:n$ f$ f, F* z; ^. e6 y* x# R
Min_path(i,j).distance=D(i,j);
& I% c6 _& H4 p7 g5 l r %将i到j的最短路程赋值 Min_path(i,j).distance2 ^* `" U9 m+ ~ [) p
%将i到j所经路径赋给Min_path(i,j).path
, w5 H0 ?: a1 u4 ?) v Min_path(i,j).path(1)=i;
8 p8 w3 S& G8 H6 U- h; V k=1;: k4 R& F- Y9 `2 L9 [
while Min_path(i,j).path(k)~=j% i5 x6 L7 V1 }# r6 \: H; |; R% Y
k=k+1;
3 V3 u) m0 y- A2 {5 F9 ]/ b1 x Min_path(i,j).path(k)=path(Min_path(i,j).path(k-1),j);, p3 w, Y( \1 V. C7 \9 _4 Z
end7 f0 n: V8 f' E3 \
end
7 w. {4 E8 u! F% |" L4 Send+ O B* k2 q5 `) \
s=sprintf('任意两点之间的最短路径如下:');, {' V9 T& j( j3 w
disp(s);
5 O, x" m! d+ l7 }for i=1:n
0 U) H }9 _4 N* Y for j=1:n3 n& P. ^: Z- r
s=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:'...
9 Z# `7 \# D+ ^! V" t5 V9 c6 \/ C S1 J ,i,j,Min_path(i,j).distance);
6 N8 Z- L' z. |/ ` disp(s);
* F; y! h0 q+ t' a8 o$ s, J& M% y disp(Min_path(i,j).path);3 c7 _" A; l; O. Y0 d6 o o
end$ X' t/ i: E6 F5 f
end
9 r8 b( ]+ n0 }$ l) Y. l4 {4 l: X$ M; H& O4 ` J: w4 v
%找出在指定从start点到terminal点的最短路径,并输出0 j3 J' ~1 F" a" l* [! f
str1=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:',...
2 Q& ]6 ~2 F8 L( r x start,terminal,Min_path(start,terminal).distance);' b* Q9 g) ^# O, N
disp(str1);
' Z* V% Z. g: G: `3 u9 @; vdisp(Min_path(start,terminal).path);* J) [* ]8 [9 R6 _
) t/ C b, B. E( z8 B2 E* m9 A%Foldy's Algorithm 算法程序! Z4 B4 {# H- ~' {6 N' v
function [D,path]=floyd1(a)
- f, f7 B& B* O2 {& Bn=size(a,1);
, d8 U+ ^& u9 |7 W* q1 [D=a;path=zeros(n,n);%设置D和path的初值7 s* l8 k8 p9 W2 v
for i=1:n5 a% d8 q( {2 p/ v6 Q4 K1 I6 v) R
for j=1:n
% S! B" A4 V& o, a9 M# U# c3 \; D" ~' t if D(i,j)~=inf
( P) _9 v2 \5 K* F; q3 w4 x5 Q path(i,j)=j;%j是i的后点
6 t+ P* [/ f3 r+ M$ r8 m5 G! a' F end: C9 r+ p& _6 k( Y: n
end# C+ f% F/ D9 z# @/ L
end/ [/ c) Z' \5 h9 d/ F6 Q9 k* B
%做n次迭代,每次迭代都更新D(i,j)和path(i,j)7 z6 |2 I( z6 w" B; x3 [; ?
for k=1:n( R2 a( f9 a" w1 z
for i=1:n
3 M* f; d; P" Y, q5 z) \ for j=1:n
1 `3 u1 B. b& l' E if D(i,k)+D(k,j)<D(i,j)) N' @( S$ J+ H" u7 [+ Z( v3 D
D(i,j)=D(i,k)+D(k,j);%修改长度
' x K# g' O* Q6 p0 @% G path(i,j)=path(i,k);%修改路径
+ u6 D4 e4 `( s" k, n, M# y. F end
5 c: F! N# [% D1 {3 d6 W: j' H1 Q end! E2 j+ R/ n0 D! R" t$ f- l0 C
end
* K! c8 X1 e9 r2 S2 v- @, f5 d4 L- Wend
& M# y; d9 s. Y V
9 {3 Y: m4 a* v, [, P2 N五 模拟退火算法源程序, K9 u7 L3 e7 K5 t
function [MinD,BestPath]=MainAneal(CityPosition,pn)
1 c, G1 Q8 ]! l% p0 P. y1 P( ]function [MinD,BestPath]=MainAneal2(CityPosition,pn)
4 V% [4 ~* W2 @* q3 c) z%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/ q" \6 ^3 q9 H u o, S, w
%CityPosition_31=[1304 2312;3639 1315;4177 2244;3712 1399;3488 1535;3326 1556;..." D1 @7 B% w1 b# ]# V1 q
% 3238 1229;4196 1044;4312 790;4386 570;3007 1970;2562 1756;.../ R, i* k! Z" K, x
% 2788 1491;2381 1676;1332 695;3715 1678;3918 2179;4061 2370;...
5 A2 o& h* p% \$ l% 3780 2212;3676 2578;4029 2838;4263 2931;3429 1908;3507 2376;...% f9 \# N& B0 n
% 3394 2643;3439 3201;2935 3240;3140 3550;2545 2357;2778 2826;2370 2975];
4 M0 e. H# L# i) J, I: n* D; ~. R2 h, ]' `( h( p4 w' [
%T0=clock
* K" G9 e2 @# Z: s, w+ K% [0 ]9 Kglobal path p2 D;
3 t7 @( ]) j# L8 y) w4 O[m,n]=size(CityPosition);1 P1 M/ o5 T, y& f' q
%生成初始解空间,这样可以比逐步分配空间运行快一些; O# X" {' z: S6 M8 h, e
TracePath=zeros(1e3,m);* e7 Q/ \3 b! u* }( |
Distance=inf*zeros(1,1e3);
( x+ ?7 [( y+ B: ?- l+ i b& Y& |0 A( H
D = sqrt((CityPosition( :, ones(1,m)) - CityPosition( :, ones(1,m))').^2 +...
6 o9 c5 a, V! W+ S' I- w( u. J (CityPosition( : ,2*ones(1,m)) - CityPosition( :,2*ones(1,m))').^2 );- R" |, R3 ^6 L: q/ m
%将城市的坐标矩阵转换为邻接矩阵(城市间距离矩阵)
1 u7 P; Z+ }. t% |, l& J8 afor i=1:pn
( m7 J+ C1 U: W6 U% D+ W2 a% T path(i,:)=randperm(m);%构造一个初始可行解! _6 M0 n& X# P9 r
end
: w$ V |3 M! Y! Gt=zeros(1,pn);# o# V3 Y" v6 x* J
p2=zeros(1,m);+ w8 A, A w: e4 Q
0 m- O, `% b$ i2 r3 [7 @
iter_max=100;%input('请输入固定温度下最大迭代次数iter_max=' );
: P! V' G9 I: [, \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=' ) ;
5 W$ T! E8 r8 M3 t%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
" K9 `# ?2 F0 a2 a8 ~! G%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( z# [6 V" q* ~) ^
%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8 \+ d, X$ n1 K4 f p
%会收到到比较好的效果
# P+ U/ b4 P+ s( F4 a
0 z; W( i* j9 K8 fT=1e5;
; n3 K8 O! V' F `% q/ JN=1;
8 T4 L0 E0 U2 W+ N1 ntau=1e-5;%input('请输入最低温度tau=' ); q. U) f7 }3 F. V4 f
%nn=ceil(log10(tau/T)/log10(0.9));/ ?- V! T( g8 c) Q4 M& j$ a
while T>=tau%&m_num<m_max 2 k0 U$ m$ f0 R2 C' g8 C( b
iter_num=1;%某固定温度下迭代计数器
* d5 Q- M9 C* U% {; l m_num=1;%某固定温度下目标函数值连续未改进次数计算器
0 U2 i7 Z+ L l. }: D. x' } %iter_max=100;
! \$ a1 z) A( Q6 w %m_max=10;%ceil(10+0.5*nn-0.3*N);! L! g0 m0 w7 G2 t) ^+ U# a: I. |/ |
while m_num<m_max&iter_num<iter_max
* i# N0 H4 p. n c, G& D7 J %MRRTT(Metropolis, Rosenbluth, Rosenbluth, Teller, Teller)过程:
* d& ?+ _1 ^; \ %用任意启发式算法在path的领域N(path)中找出新的更优解 W `0 U1 C& P7 A
for i=1:pn
! o/ k; q6 U8 d4 t8 m6 P5 q Len1(i)=sum([D(path(i,1:m-1)+m*(path(i,2:m)-1)) D(path(i,m)+m*(path(i,1)-1))]);; T7 ]0 C" |! C2 A/ l8 j: |- b
%计算一次行遍所有城市的总路程 2 N3 J6 N+ s! M
[path2(i,: )]=ChangePath2(path(i,: ),m);%更新路线' X! G' ?" ^+ o- m
Len2(i)=sum([D(path2(i,1:m-1)+m*(path2(i,2:m)-1)) D(path2(i,m)+m*(path2(i,1)-1))]);0 M, I3 e; x- v7 R
end S: }% W5 V0 e4 P0 _1 m
%Len1
$ ~* `" t5 I3 f! b3 g# @ %Len2* W; H$ u7 F0 B! ^! i$ {; n6 K
%if Len2-Len1<0|exp((Len1-Len2)/(T))>rand1 e+ b5 e; ?. X$ ]/ Y
R=rand(1,pn);$ J0 d/ d1 ?9 ^# o# K( x
%Len2-Len1<t|exp((Len1-Len2)/(T))>R/ N" n1 t2 C+ T5 I. c8 G. L9 A* @
if find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0)
3 R" i4 c0 H# \* P. d" @; l path(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : )=path2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : );
+ x+ ]! s* e, z2 v! }; ? Len1(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0))=Len2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0));7 \ ?* d6 q6 H! g# p8 O
[TempMinD,TempIndex]=min(Len1);" J! b" K8 x9 n Z* @1 g
%TempMinD$ v( [" F0 Q; t7 y4 s9 @/ R
TracePath(N,: )=path(TempIndex,: );$ s, M1 r1 [9 t" d5 Q% m9 o
Distance(N,: )=TempMinD;
# f+ R7 p6 W, K4 z4 ]- W N=N+1;
+ v: _) }" \) \- `1 X %T=T*0.9
4 I `% i* G: ^" }3 i4 v' g m_num=0;
4 m' t7 u5 p5 U4 T: G$ e% d) {5 n else
0 _2 x( h; R$ `3 t: X# | m_num=m_num+1;* l$ A& i5 \. L. C8 W9 f8 P
end4 g) @! p8 ?9 v7 | ]; f1 i
iter_num=iter_num+1;
+ ~9 |7 L8 i2 T5 H$ H' i end u9 A/ C3 w b( f2 q* L- c
T=T*0.9
' z: w7 m# C$ N9 h9 S) u%m_num,iter_num,N$ J8 n* F b4 _* Q
end & X" \; I/ ?8 B; S5 N" Q7 K9 t1 O
[MinD,Index]=min(Distance);
. n, q& h6 X. \2 t' pBestPath=TracePath(Index,: );* r& f7 m! P8 s- \
disp(MinD)
$ D* ?" m8 S. q# A%T1=clock
# u1 x l2 t5 _( Z: d3 l$ n' N
$ o; [9 o) a' C; O- K + w9 X: M+ C2 h2 q& g9 R8 g
%更新路线子程序
+ W: f% y- N g- V t* mfunction [p2]=ChangePath2(p1,CityNum)
( e2 v3 E0 Q) T' n2 R+ @7 Aglobal p2;
$ S8 s& ~3 c# f) \; w) W# E* cwhile(1)
. @, w- m/ ^/ x! Z R=unidrnd(CityNum,1,2);; ~( H% w; n T2 ]
if abs(R(1)-R(2))>1 S* x* M; n+ R9 q
break;. I- n" J8 U, w, v
end* \# Y& K+ ^- A' R4 i* C" V e# D: S8 V
end
6 Q3 [, M% e# v# r' JR=unidrnd(CityNum,1,2);
# j$ z; d j9 ?# y2 i" XI=R(1);J=R(2);
, S4 ]0 E7 a) ?: y( c%len1=D(p(I),p(J))+D(p(I+1),p(J+1));! R( e1 _6 g7 ~4 f
%len2=D(p(I),p(I+1))+D(p(J),p(J+1));
" y( l" ]% R& d6 i: \- ^# mif I<J( I: p$ T3 w4 H& R
p2(1:I)=p1(1:I);
; Y+ Y! m6 F' w% D/ V8 l p2(I+1:J)=p1(J:-1:I+1);
9 M" X) h! P& h- N m p2(J+1:CityNum)=p1(J+1:CityNum);
2 @4 E8 W3 W9 O2 _$ Q% U. kelse( }. Q3 J! v2 x# y0 v9 h
p2(1:J)=p1(1:J);0 X9 i6 h7 H$ p- P* k& Y2 M8 {
p2(J+1:I)=p1(I:-1:J+1);
4 a1 t: [/ c1 J% m% t8 v" l9 s: A p2(I+1:CityNum)=p1(I+1:CityNum);- x( \4 |) I. S) V0 Y% h# |8 r
end
/ f. ^" p8 c! n
$ ]8 d; V% D; [7 s& Z8 Q h六 遗传 算 法程序:7 N7 r; u" q! B' D3 U! w; I
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!
" h) b/ x! \% m! [9 l" E" K
5 ?# ~8 \( |2 [, O4 Ffunction [BestPop,Trace]=fga(FUN,LB,UB,eranum,popsize,pCross,pMutation,pInversion,options)) _8 R" m, `* u3 _6 t4 A) N
% [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation) . w- K7 b9 o2 E6 A% L
% Finds a maximum of a function of several variables.
# r7 }" \. O+ a8 u6 [( g2 |% fmaxga solves problems of the form: % C5 A4 K# x- w* y( b
% max F(X) subject to: LB <= X <= UB . W" G; V; C) z6 o! I
% BestPop - 最优的群体即为最优的染色体群2 _! E6 \, V6 G" T1 ]
% Trace - 最佳染色体所对应的目标函数值
- {% f7 E1 P. U, X% FUN - 目标函数. c+ E& n# o2 o4 w q6 C& L9 T& Q
% LB - 自变量下限
# ~& U/ _0 k6 H3 u( z3 x/ T8 v% UB - 自变量上限; F0 z+ e- n$ R/ Z) k
% eranum - 种群的代数,取100--1000(默认200)3 Q# Z6 U( |. D" E; U! ]
% popsize - 每一代种群的规模;此可取50--200(默认100)
% @0 l) j4 }. w0 V( ^ S" q& ~% pcross - 交叉概率,一般取0.5--0.85之间较好(默认0.8)
* | D# T# b- M) {6 |% pmutation - 初始变异概率,一般取0.05-0.2之间较好(默认0.1)6 X& b' S( X& \; {! W
% pInversion - 倒位概率,一般取0.05-0.3之间较好(默认0.2)
; j/ s3 z* I. V: A% options - 1*2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编
S) {3 B6 n& q5 }# z) l2 w%码,option(2)设定求解精度(默认1e-4)9 D$ f$ t" M3 ?4 `# a1 @$ a7 W
%- h0 C4 R& P% R3 W# x# \
% ------------------------------------------------------------------------
6 y; j4 T; z% l; h' M
6 Q, r0 H( Z+ r( ^T1=clock;/ R% e& o, Y0 o
if nargin<3, error('FMAXGA requires at least three input arguments'); end7 }$ v% K6 Y: b* i M% g. \
if nargin==3, eranum=200;popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
8 j" c) w8 ?* k8 M ^7 Qif nargin==4, popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end& d7 I5 c9 v. x' V' P0 [
if nargin==5, pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end1 C. Q( H6 _' C% T$ I$ O" w. w8 x8 [
if nargin==6, pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
1 G: h, V5 u& s1 `1 rif nargin==7, pInversion=0.15;options=[0 1e-4];end. Z9 G) {/ p8 w! u1 ~4 e
if find((LB-UB)>0)
0 Z. T% L) W& c+ m error('数据输入错误,请重新输入(LB<UB):');" Y3 S, D9 @. t5 S2 V4 _7 P
end
4 x/ t4 E- l; | V( Y, Qs=sprintf('程序运行需要约%.4f 秒钟时间,请稍等......',(eranum*popsize/1000));
2 e; i+ ]8 {9 t7 w$ Tdisp(s);
; V) e1 C3 t/ G& x: L& o9 k$ w3 @5 q; t$ j! I) c8 t! f! o
global m n NewPop children1 children2 VarNum
; Q5 N$ s Z2 B3 V2 U) N8 b4 e: A0 _6 n/ c' K
bounds=[LB;UB]';bits=[];VarNum=size(bounds,1);
( ]' k4 P" H$ m8 z% v8 Z# y0 jprecision=options(2);%由求解精度确定二进制编码长度' K( S! l# B( H
bits=ceil(log2((bounds(:,2)-bounds(:,1))' ./ precision));%由设定精度划分区间
8 }: f7 k; A' U. {2 A. B# A[Pop]=InitPopGray(popsize,bits);%初始化种群# s# |$ G$ N- C( |0 x
[m,n]=size(Pop);
$ j; w6 e; g0 n- p8 B) gNewPop=zeros(m,n);3 a2 g' z. I) S9 F; S1 p
children1=zeros(1,n);9 j# R& ?) C0 n+ z5 L. {) B
children2=zeros(1,n);
3 o# F9 K) R4 H @9 z7 g# tpm0=pMutation;' ?( c1 u# r5 j& O1 j% w, W0 Z
BestPop=zeros(eranum,n);%分配初始解空间BestPop,Trace
' `- D2 e# ^* `Trace=zeros(eranum,length(bits)+1);" Z) f7 A. Y" L
i=1;
8 E4 h4 g& R: U$ i% e, P9 {while i<=eranum% ]$ g, l& a( M
for j=1:m
/ j0 B1 l1 j! q( t; e value(j)=feval(FUN(1,:),(b2f(Pop(j,:),bounds,bits)));%计算适应度" D, t2 X& e% x+ o
end$ u. N. d7 w9 r8 ?) E- x5 X# _- ]8 R
[MaxValue,Index]=max(value);
" L8 M( S9 U" c- o BestPop(i,:)=Pop(Index,:);8 S' D6 l, P# |/ B$ q( v6 E# x
Trace(i,1)=MaxValue;
0 X& W9 D& `3 g$ y Y2 G8 \8 z Trace(i,(2:length(bits)+1))=b2f(BestPop(i,:),bounds,bits);, P. }3 h c. N/ c
[selectpop]=NonlinearRankSelect(FUN,Pop,bounds,bits);%非线性排名选择
/ t' `5 B& h3 b2 Q3 z9 q2 O: {" [[CrossOverPop]=CrossOver(selectpop,pCross,round(unidrnd(eranum-i)/eranum));
: n( Q5 Q, ^9 f* @+ I, e%采用多点交叉和均匀交叉,且逐步增大均匀交叉的概率
1 d N) R5 N8 e& d! ^ %round(unidrnd(eranum-i)/eranum)
1 P9 `7 I! s+ i+ o& e. i4 N [MutationPop]=Mutation(CrossOverPop,pMutation,VarNum);%变异
* L7 C7 F; H% L [InversionPop]=Inversion(MutationPop,pInversion);%倒位- j9 r; u/ K; P4 O; F+ y" x, \
Pop=InversionPop;%更新
$ R; F& T9 d' b/ npMutation=pm0+(i^4)*(pCross/3-pm0)/(eranum^4);
% L4 z$ p) ^- p. ]. S9 ?" j% ~%随着种群向前进化,逐步增大变异率至1/2交叉率
( o% u3 u: t6 L1 y& E p(i)=pMutation;
; C0 b9 {* D$ ]9 j i=i+1;
% Q K5 Q- o% fend, E- Z; {# X! |
t=1:eranum;
- p2 U1 D6 @6 r- cplot(t,Trace(:,1)');* G* k1 X6 Y, f2 T8 i0 u. b! |( e/ t
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)');& @! E( R( S- x# C0 n F& W" ? _1 N
[MaxFval,I]=max(Trace(:,1));% {' E* u1 B+ q" i. l
X=Trace(I,(2:length(bits)+1));' L! _( F1 [* Y1 C/ s
hold on; plot(I,MaxFval,'*');* b; i) t: ?! W( Z( ]; f, G
text(I+5,MaxFval,['FMAX=' num2str(MaxFval)]);
4 q# R4 t, O+ e [str1=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,:)));, u+ J6 J% W2 M6 u3 x4 O
disp(str1);# f/ ]1 o% L- X3 r( x6 W
%figure(2);plot(t,p);%绘制变异值增大过程
: R( g4 ] U, V5 e/ ]$ GT2=clock;
6 h0 t- e0 P% Zelapsed_time=T2-T1;
2 p/ b$ Z; H' i5 Y% c$ Fif elapsed_time(6)<0
2 D; }4 ]) K8 T" Y0 k elapsed_time(6)=elapsed_time(6)+60; elapsed_time(5)=elapsed_time(5)-1;$ D) v( u \7 m! \" J2 b
end z4 m# s" Z |( M" F' n
if elapsed_time(5)<0
; H; O: n4 ^% w+ l( l" q3 K9 x9 [ elapsed_time(5)=elapsed_time(5)+60;elapsed_time(4)=elapsed_time(4)-1;9 Y- q( l) J) Y; E
end %像这种程序当然不考虑运行上小时啦% }& W4 n& w! {9 B& k8 [9 N
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));) v3 t1 C$ ~' ^4 h' t X
disp(str2);
- u9 W* w- I& |6 R# I$ ?0 Y7 A
0 J$ H5 Y' {+ U7 | x2 P/ b+ s3 B2 G" J0 H7 |: h
%初始化种群$ D' q0 e' A% T- x+ z1 _
%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. d) L2 ^ H1 ?" i- j2 ?
function [initpop]=InitPopGray(popsize,bits)
5 q4 ?) [4 p! j5 T/ s( zlen=sum(bits);. n; c+ E e9 ^& _" g' W# O
initpop=zeros(popsize,len);%The whole zero encoding individual
/ k2 E, E; V! l! Kfor i=2:popsize-1
. x( q; |( C$ H! x- N! [- p) t# V pop=round(rand(1,len));
% d* y) D. X( Q/ U- s# [6 H pop=mod(([0 pop]+[pop 0]),2);
2 G" l/ U, L& ~2 a; p& k' T %i=1时,b(1)=a(1);i>1时,b(i)=mod(a(i-1)+a(i),2)
! a2 D* L! X) q1 x: C( _: Q %其中原二进制串:a(1)a(2)...a(n),Gray串:b(1)b(2)...b(n)9 S8 t0 Y1 t: x9 B( F1 h
initpop(i,:)=pop(1:end-1);# r- o4 ]! w( {- ]! e: f1 m
end
* B2 A3 i9 u4 I! Yinitpop(popsize,:)=ones(1,len);%The whole one encoding individual' G C, j' |. u$ k3 |! ?" R& D& ^
%解码! N9 B/ a/ \1 X! F. t4 O$ M! C: J
% j) s1 e+ P( K1 `2 k0 lfunction [fval] = b2f(bval,bounds,bits)$ ~) d- c; n% ]) g3 E6 M) a% ^" h
% fval - 表征各变量的十进制数
6 @1 C; `# v; p. I$ f% bval - 表征各变量的二进制编码串4 b9 E( j) n% a( c, J
% bounds - 各变量的取值范围
3 S: } r" o- k- E) E" |% bits - 各变量的二进制编码长度7 X7 j$ E+ X4 z! c3 S/ r4 i5 S' ~
scale=(bounds(:,2)-bounds(:,1))'./(2.^bits-1); %The range of the variables& Z" K& J/ t* S* J
numV=size(bounds,1);- a$ n8 N$ H( M l8 D6 Z
cs=[0 cumsum(bits)];
3 d {) u# X2 i$ N3 `for i=1:numV) u: a& u# N% X7 z4 _! @- Z: H+ K
a=bval((cs(i)+1):cs(i+1));
4 D7 ?: r- J) A5 s fval(i)=sum(2.^(size(a,2)-1:-1:0).*a)*scale(i)+bounds(i,1);
. r0 Y C8 ?: i/ T9 |end
2 A9 ~8 g- E) A%选择操作
6 m: s4 b [. J, o8 y%采用基于轮盘赌法的非线性排名选择
( Y1 ^, L: Z; y" n%各个体成员按适应值从大到小分配选择概率:
+ E. {( d. R0 u3 E/ d4 p" \8 G# v%P(i)=(q/1-(1-q)^n)*(1-q)^i, 其中 P(0)>P(1)>...>P(n), sum(P(i))=1+ H' L7 i* P5 M2 Y
+ w, X5 d; u- f% Q% Mfunction [selectpop]=NonlinearRankSelect(FUN,pop,bounds,bits)( f; Y2 F, j: y& [, U8 w8 h
global m n1 h8 B m# ~3 v6 ]
selectpop=zeros(m,n);8 W7 K- i2 i2 I; [
fit=zeros(m,1);* P4 v" \$ S6 z$ y8 @2 |; ^
for i=1:m7 t5 e- a2 `0 [5 f @2 M: ~
fit(i)=feval(FUN(1,:),(b2f(pop(i,:),bounds,bits)));%以函数值为适应值做排名依据
& \- _! W b1 }6 `9 ~ h1 eend1 S( }; t+ @- K! A8 j
selectprob=fit/sum(fit);%计算各个体相对适应度(0,1)
) `0 {$ e Z7 |* zq=max(selectprob);%选择最优的概率 E7 \) T7 m- p
x=zeros(m,2);
0 ?1 O* E3 N5 q# z& a. Lx(:,1)=[m:-1:1]';& E b+ E$ K3 z: j' Q0 b1 s
[y x(:,2)]=sort(selectprob);
/ X" w* J, I) d. v, w3 t1 |9 Mr=q/(1-(1-q)^m);%标准分布基值
0 u2 L" n6 @9 enewfit(x(:,2))=r*(1-q).^(x(:,1)-1);%生成选择概率
, J* G+ u4 S3 h& ^' B9 d; U! u# @( tnewfit=cumsum(newfit);%计算各选择概率之和
& g" v3 r0 r; E, g9 I* nrNums=sort(rand(m,1));1 o! i% F$ N7 M1 P+ \
fitIn=1;newIn=1;/ z- C7 w( S" Y' i/ n0 q
while newIn<=m
R5 E _' K* B0 a% j if rNums(newIn)<newfit(fitIn) S7 y: Y* s6 S
selectpop(newIn,:)=pop(fitIn,:);3 t0 M: z; J& {7 l' G
newIn=newIn+1;
& T! F6 J3 S, ?( e else
( T# N' x9 n+ U! t5 A fitIn=fitIn+1;" g/ K# M$ `7 B9 H Z2 S# F2 f9 E
end
" Z6 f5 U6 J9 s3 L; {& s; j& L; Z% vend
( g0 [- m7 f6 `% I c%交叉操作0 l% @$ w' s% [
function [NewPop]=CrossOver(OldPop,pCross,opts)3 b) u+ I; |, d% f
%OldPop为父代种群,pcross为交叉概率
8 ^7 i F" w- Y! V8 H0 _global m n NewPop
* Q/ Z6 c" I# q p- b( `r=rand(1,m); W( q' p" h/ |+ e- V6 _$ i+ K
y1=find(r<pCross);
7 Q3 v7 ^2 u, }" yy2=find(r>=pCross);
1 l/ O& v, m% v! b, Q5 w* _& ilen=length(y1);' |/ p4 E- A l o9 R4 P( h1 c% [
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
; L) n4 `) s- B6 F y2(length(y2)+1)=y1(len);8 ? l# W; D- @
y1(len)=[];
" I. D& p; \2 {, Q. ~end$ U3 f" |. J& `; {! o
if length(y1)>=23 u) t6 {( [8 Z& V
for i=0:2:length(y1)-21 Q/ A4 S' X+ d8 \, t8 }9 Q6 ]# {4 T# f
if opts==09 n) U& N! S0 o8 C+ r* u
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=EqualCrossOver(OldPop(y1(i+1),:),OldPop(y1(i+2),:));7 p* i8 U* [: A8 Y) W: n
else+ E* V( {, f* v! z) \( i
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=MultiPointCross(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
7 C! z* ^) T" u1 U5 P end
3 S1 k6 A/ a' N, e7 t/ w1 ~5 T end N& g4 u$ e' p# A' z7 T8 c; X
end) E5 s9 l0 R" M& _" @4 j# R9 v. S
NewPop(y2,:)=OldPop(y2,:);
3 B# l/ r2 E( @0 \; ~+ T( y ^ \
; n& h7 C: b1 m$ l7 r%采用均匀交叉 5 @5 t3 g6 l8 [
function [children1,children2]=EqualCrossOver(parent1,parent2)/ F* x0 c, i0 m4 s# @" }: z
9 ^, U1 w2 A& ?% Z4 {2 k2 @global n children1 children2
8 ~$ X9 H0 @8 ^% chidecode=round(rand(1,n));%随机生成掩码
* G9 z6 X& L k1 _; _ vcrossposition=find(hidecode==1);
( ]- a" m! @5 ]' Uholdposition=find(hidecode==0);' s2 E4 U" X* v$ I+ O
children1(crossposition)=parent1(crossposition);%掩码为1,父1为子1提供基因
# E5 R) J& \: Y: h( {, cchildren1(holdposition)=parent2(holdposition);%掩码为0,父2为子1提供基因" o! D# p! a/ n# W# K
children2(crossposition)=parent2(crossposition);%掩码为1,父2为子2提供基因
( B/ [; J9 w1 {( o! O# g2 l8 Lchildren2(holdposition)=parent1(holdposition);%掩码为0,父1为子2提供基因
9 [' c+ m9 c8 X) X$ ~
' M1 i# e0 q6 A, v7 ~4 t: j7 a1 @%采用多点交叉,交叉点数由变量数决定! W3 v f0 G- J/ e/ z# x1 O7 Y2 I
: P1 B% e- G+ G- U B, I8 ]$ D' ]function [Children1,Children2]=MultiPointCross(Parent1,Parent2)- X8 N8 H- Y Z3 J+ W" v6 b
2 @# L' `5 P) ?8 D( Rglobal n Children1 Children2 VarNum
9 r. H+ `. \, q. K- T- F" SChildren1=Parent1;2 {/ i% J9 t$ q+ Y$ K! \- N
Children2=Parent2;! A6 E2 x! J- X6 @! }' ]
Points=sort(unidrnd(n,1,2*VarNum));
5 a( q p) S3 v2 E! wfor i=1:VarNum: K8 c2 }0 H) K8 I! q
Children1(Points(2*i-1):Points(2*i))=Parent2(Points(2*i-1):Points(2*i));9 G1 e+ s: P6 \. n( i0 H( Q3 s
Children2(Points(2*i-1):Points(2*i))=Parent1(Points(2*i-1):Points(2*i)); V8 A0 k! K E' N3 D+ G
end6 P. t8 t1 Q1 f* Q2 }1 n
A: A, z$ b# e9 c# B) a' J
%变异操作# T4 E" R ]! J0 S8 S3 `9 S
function [NewPop]=Mutation(OldPop,pMutation,VarNum)" N; T- e N/ Q9 _: ~7 I [
* p$ ]( `" z! t/ G& g
global m n NewPop& H7 } T Q9 b
r=rand(1,m);
; h; A* N2 ^* R8 I. U ~% @position=find(r<=pMutation);
8 E7 Y( Q1 ^5 P: J1 m, Z0 s& H' ulen=length(position);6 q' b' \8 @( Q5 [ H1 j; Y5 y
if len>=1
, p' b# j' w7 D4 R" Q for i=1:len$ k9 n/ e# ?/ U
k=unidrnd(n,1,VarNum); %设置变异点数,一般设置1点' X4 j' n' m/ J7 H4 r% O
for j=1:length(k)
' X% O9 G, F& o' j6 P: i if OldPop(position(i),k(j))==10 k( f1 u+ Z; A1 |
OldPop(position(i),k(j))=0;( E; I; D' {. n- y
else
) J5 I" h/ t4 z) I! k. K OldPop(position(i),k(j))=1;0 I0 Y, p; y% C
end4 h; N& q! E" v& m
end
' F) t. l" m/ I5 n end! ^( `$ A9 `; F8 M
end
2 R1 j9 p9 F* ]4 ]2 YNewPop=OldPop;
r! g# W- N: \! g- D
. R; A3 w) v' Q" W1 x! V: B* z' U%倒位操作
+ \& e- { O( k& f! K. _; _
, O& ~- i8 C- S! ]: a) X/ Nfunction [NewPop]=Inversion(OldPop,pInversion)( y% O; N( W# }1 r. J4 n4 h
1 \8 I9 h7 Y, O% `$ ~8 ]7 Y5 V' Fglobal m n NewPop
' t7 C* X* i& _; M+ d: u( LNewPop=OldPop;
7 _, K, h, u: ?- fr=rand(1,m);- A! e& R) L$ x2 W+ R
PopIn=find(r<=pInversion);- Z- r1 H0 a6 s- p! I
len=length(PopIn);
& l9 K# W4 J2 [1 D. r) dif len>=1
3 V: e$ h! S9 z3 f0 n for i=1:len6 v: \; s; E) _; X9 T' e% A
d=sort(unidrnd(n,1,2));4 k* r& r0 }4 y
if d(1)~=1&d(2)~=n
4 c. `: r& E/ U% |8 p& a NewPop(PopIn(i),1:d(1)-1)=OldPop(PopIn(i),1:d(1)-1);& r5 k$ Z. A$ f0 ?3 X
NewPop(PopIn(i),d(1):d(2))=OldPop(PopIn(i),d(2):-1:d(1));
. o1 ]% x* Y- d: [ NewPop(PopIn(i),d(2)+1:n)=OldPop(PopIn(i),d(2)+1:n);
) q. x# L0 `* ~+ c- s6 \( n8 ] end' u/ O& }# _+ a: {2 l0 V
end4 z: O$ ]% F6 c [0 m1 a
end
, q: q8 [' [) L) X% S. M# z5 }3 y* D) E, R# H2 k
七 径向基神经网络训练程序& q' m: y( O7 O2 m
. z+ U* i; i3 ~' c9 N' U% Pclear all;
6 x- N- b+ K* Q* A: Rclc;
6 \3 ]1 X: O2 {) s9 F%newrb 建立一个径向基函数神经网络) n& H' V, K: ^- O# N' k
p=0:0.1:1; %输入矢量- a) y1 {. T3 m/ \1 t" {3 s3 h
t=[0 -1 0 1 1 0 -1 0 0 1 1 ];%目标矢量
1 L4 S6 \$ U: n- S$ ^+ V5 Lgoal=0.01; %误差
9 G. W3 O3 p& B, f% ksp=1; %扩展常数
) r. T* c6 U5 E& T* E! ^' U, wmn=100;%神经元的最多个数
9 A. t' m* p* Rdf=1; %训练过程的显示频率
' N, Q" Y; T! N; N* W' a# [# j[net,tr]=newrb(p,t,goal,sp,mn,df); %创建一个径向基函数网络
e( H2 q e- ], B% [net,tr]=train(net,p); %调用traingdm算法训练网络
3 K- X. P& `9 z7 T+ W; v%对网络进行仿真,并绘制样本数据和网络输出图形
! i2 z0 v- E1 F l- P: XA=sim(net,p);6 O, ?- C( v& @2 z2 \/ i
E=t-A;- ?$ }% c* _1 C# C4 d7 ]2 v
sse=sse(E);& {& h# d U+ C& m+ T$ y
figure;
. P1 E( g6 U; j1 H8 l8 Gplot(p,t,'r-+',p,A,'b-*');# i- F" r! Y3 j- T* J
legend('输入数据曲线','训练输出曲线');
; s$ o4 c& P. f9 M. hecho off
9 W1 e# z8 _" j0 I9 b. U: U# R% w& G$ b' o9 B
说明:newrb函数本来 在创建新的网络的时候就进行了训练!" O7 M2 v' ^3 k: Z% | f& J
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,* J- ^4 N0 t5 d! l3 \- B' `
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!
) o- C6 l I: o; @2 z; A! \ `# B3 s, s
: m& C' b+ V( `5 B9 c1 k D9 C' U% w
# X# q$ Y$ J7 c3 v8 r' o& U: v c训练结果显示:
& ]4 L" d9 a! ^1 K1 Z* FNEWRB, neurons = 0, SSE = 5.0973 [/ h" S/ i+ `: q4 S4 i
NEWRB, neurons = 2, SSE = 4.871391 Q! ^9 i9 N1 F% p0 S( C2 ]9 Z
NEWRB, neurons = 3, SSE = 3.61176 x7 H% F( J3 x/ X
NEWRB, neurons = 4, SSE = 3.4875/ [: L! g7 T6 d% U4 ]
NEWRB, neurons = 5, SSE = 0.534217
L' F) S! l1 I) _. oNEWRB, neurons = 6, SSE = 0.517857 L/ x8 L- x8 y6 a/ ^
NEWRB, neurons = 7, SSE = 0.434259 R8 }4 ~: m) I7 Q J$ E
NEWRB, neurons = 8, SSE = 0.341518, W" g3 f! l; U; g. @# L
NEWRB, neurons = 9, SSE = 0.341519$ B# C3 S5 P& k& K
NEWRB, neurons = 10, SSE = 0.00257832
+ {( E U @* ^. z. _1 b. E/ ?2 U/ B
八 删除当前路径下所有的带后缀.asv的文件3 A2 m) b& j1 m' L) o. ~4 E
说明:该程序具有很好的移植性,用户可以根据自己地
! A; T: [+ B5 @, `要求修改程序,删除不同后缀类型的文件! 5 ]; c [$ _9 Q' }) y8 W( `
function delete_asv(bpath)
5 L5 L2 m0 m0 E8 u; g%If bpath is not specified,it lists all the asv files in the current2 e. ~; d. L" L$ \, D
%directory and will delete all the file with asv
1 m3 [; H4 [- S& N/ ?9 M4 e: M% Example:% H: }) O1 G+ r1 Q* _
% delete_asv('*.asv') will delete the file with name *.asv;
, _! {! a8 b& U0 ^% delete_asv will delete all the file with .asv., F% U7 j! n4 u
8 z; e0 x0 W' a, Gif nargin < 1
& \2 R, m3 \3 U v: C" u%list all the asv file in the current directory
! H( G" f: V5 v9 x files=dir('*.asv');3 J8 I: k% Q) f8 _% [
else
( _4 C0 ?) _9 a! `% find the exact file in the path of bpath
' o7 ^; d# R, K2 ?7 h n [pathstr,name] = fileparts(bpath);) g" q) `9 N+ S; u' y
if exist(bpath,'dir')
5 O4 M6 p) e- k3 R# U name = [name '\*'];9 i' x- D- \9 r) f4 E
end3 a) ], F1 y6 `7 H- e& D+ [4 k, [
ext = '.asv';
& J" Y, b' X. p9 d' E files=dir(fullfile(pathstr,[name ext]));
7 @2 J0 Y! G0 X' j) jend/ b9 l- H* F0 M( R
; I5 k! {4 r4 w; g oif ~isempty(files)
6 `7 v3 ^! E$ k for i=1:size(files,1)
& y2 U2 H$ T* f5 ?, n title=files(i).name;6 b9 H, n! R" I! L* P, f! m" v& @
delete(title);9 Z) i J8 j" b% R( G
end
: n% z: T- I7 i' H+ p5 A1 Send' K$ C) B6 s% {4 y
: V6 i3 m) o( n b
2 J% z( \+ q$ R$ g* M1 i4 U
同样也可以在Matlab的窗口设置中取消保存.asv文件!: _5 A. A; @& F" }+ { Z
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