- 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
" z! ~5 O9 c5 M% |6 b2 w1. predict_fun.m为主程序;+ c" D% C# R; h) G
2. timeseries.m和 serie**pan.m为调用的子程序* q% y1 E% |/ p* \
/ h0 m) v, ^1 y; A) N. S% x- d9 s
function ima_pre=predict_fun(b,step). v: t" K# L, x$ X# g: s
% main program invokes timeseries.m and serie**pan.m
. U2 x& u3 B2 Q; T/ g% y% ?/ k/ z3 t% input parameters:
3 h7 H. I# S0 h+ a" u% m3 Y% b-------the training data (vector);
4 i) I8 A8 `- `% step----number of prediction data;
# R/ b6 ^" `' x7 i, h- R% output parameters:$ f3 j/ A ?8 ~1 Q& e* `
% ima_pre---the prediction data(vector);
% m/ R0 D8 ?5 Z iold_b=b;
" m- O# G8 O5 i+ ?2 A- q2 Y* ~mean_b=sum(old_b)/length(old_b);' K4 U* t! n0 \" D7 H
std_b=std(old_b);
+ p2 D8 N3 O n$ I p; yold_b=(old_b-mean_b)/std_b;
7 k& {" a2 B7 _8 j0 \[f,x]=timeseries(old_b);
7 \' m) @% \! c- |' N2 V0 Qold_f2=serie**pan(old_b,step);
/ `3 H, @# m% V, ^% f(f<0.0001&f>-0.0001)=f(f<0.0001&f>-0.0001)+eps;
# t9 l) H& X/ d3 pR=corrcoef(f);+ |$ D% Q6 F6 Y
[eigvector eigroot]=eig(R);3 m2 |7 d* U1 y
eigroot=diag(eigroot);) i8 I1 t9 g" r2 E( D! k" |" ]+ m
a=eigroot(end:-1:1);
: Z, Z& j* ^4 W# r8 vvector=eigvector(:,end:-1:1);: p) {& x( V' p2 t. f3 `
Devote=a./sum(a); V, l$ h* b& o' M+ ?3 \- f% {
Devotem=cumsum(Devote);
$ l( N. D, E y( Hm=find(Devotem>=0.995);
" N/ R+ }+ A: h' b: x+ h, Hm=m(1);, T5 J+ P% f* P$ u, \; }
V1=f*eigvector';3 A4 Q3 f L& M* J$ n* w1 |+ Y, j
V=V1(:,1:m);
+ _! N# _* f+ |$ w( M: D7 s% k6 J% old_b=old_b;6 g2 J/ c- K& Z( S J( B( e
old_fai=inv(V'*V)*V'*old_b;
' |+ T( N0 U8 f4 R- a& z3 b4 ieigvector=eigvector(1:m,1:m);) j! S. u9 T$ L5 K6 g
fai=eigvector*old_fai;6 i* T$ _5 }. C$ s
f2=old_f2(:,1:m);
4 e6 w8 U% ]* o0 @6 t/ D& Lpredictvalue=f2*fai;
f) M' P' t5 m7 {# M0 h% ]& Fima_pre=std_b*predictvalue+mean_b;/ u/ @" }& B( m6 Q8 p4 n
3 x/ D/ a/ A. v- v; o. d0 x1.子函数: timeseries.m 3 ~+ Q) e4 S# I& I6 Q
% timeseries program%* g# H& l6 {$ A# i5 \
% this program is used to generate mean value matrix f;0 W7 \, k J0 ?1 D0 s
function [f,x]=timeseries(data)
, |) Y/ V) }" Z! Y6 t; r7 `6 |% P% data--------the input sequence (vector);8 T* N. g- m2 a+ q( c8 X% z& l2 Y" @! z5 D
% f------mean value matrix f;1 r* M* t* K# W9 |' `- B3 I
n=length(data);
) E. |/ J; Z# ?3 N4 h' a! s) afor L=1:n/2; O) @0 w. M- J( h
nL=floor(n/L);$ @6 H. Y, H; A A' ~
for i=1:L5 n& p+ F7 G3 B4 }' w4 D
sum=0;# ^' g4 m# k$ p" C4 h
for j=1:nL% d* w4 d" R4 E- H- Y4 [8 J& H
sum=sum+data(i+(j-1)*L);
: i& O y2 ~: u9 ?) L: u end$ V/ M4 q8 [. U( B7 G6 I
x{L,i}=sum/nL;. S: y" c8 y% g* m5 a5 ]" R8 z. U
end# P, [5 H# v/ A
end
) X2 P F. v' [* d* L9 jL=n/2;& k! j' t; ]- w6 n% a% B2 T+ w
f=zeros(n,L);$ W- f& K* j; z
for i=1:L
" x* q: x. u) G( R" X: z rep=floor(n/i);6 m% G9 k3 e) X% x
res=mod(n,i);
' j7 Q: q2 d5 H$ ]) Q3 O- }, m5 ` b=[x{i,1:i}];b=b';
, z4 w; `4 e9 Y' ]3 k: f- ^* T" P f(1:rep*i,i)=repmat(b,rep,1);# m0 H8 l& Z* s8 `6 I2 O- ]
if res~=03 A- q+ d' S4 l q
c=rep*i+1:n;
+ ?+ H4 }: L1 _! z: W0 {/ X* I! H f(rep*i+1:end,i)=b(1:length(c));9 Q+ g) ?- F$ a" a$ U7 P, n8 t
end+ ]% L# V6 {# P: b4 E* v4 N$ E) `
end
% d2 r; `5 g1 Q2 a9 F! U R
$ y+ j5 e4 ]* y/ T9 S+ L% serie**pan.m
0 R6 Y. e; A8 @) w* G) }% the program is used to generate the prediction matrix f;
0 ]/ p5 d: i% y/ T2 S( Hfunction f=serie**pan(data,step);. |" [; ] Y, \* M& a# ~5 I+ S
%data---- the input sequence (vector)
0 g" @9 u6 P3 k' n L% setp---- the prediction number;8 D8 k4 ^. x) u8 x0 w% ?/ T; V
n=length(data);
7 t2 z% O( e$ I" ^$ y5 tfor L=1:n/2& }( ^" [- D" k6 \$ l1 B! p
nL=floor(n/L);
6 D- w! R( ]- r Z5 T& N0 S for i=1:L, [8 J, }' S3 w: h
sum=0;
3 \9 B2 v& \6 U4 N1 ^ for j=1:nL
& j5 F4 S8 c n. l+ M7 W sum=sum+data(i+(j-1)*L);
4 F; c7 {2 U7 B! A8 t. U end; H7 J; p8 Q b% Y1 a
x{L,i}=sum/nL;2 E( A& h. W1 i- R7 V) |1 t
end G: }8 G5 p% c% _) \
end
. Z, A. S+ K. l# v9 B& g8 b- mL=n/2;
+ v2 u! H- w( | J) Wf=zeros(n+step,L);" {9 z. o$ p- g" X: [; E3 z
for i=1:L- y2 p1 J* l3 o: U5 ?) x4 c
rep=floor((n+step)/i);& W0 }2 V" [( q; ~
res=mod(n+step,i);
& T m& N9 w& h& F! X b=[x{i,1:i}];b=b';
# V9 H$ [- u+ y! w* Z4 j- }& { f(1:rep*i,i)=repmat(b,rep,1);+ W: k1 g0 D7 D1 O
if res~=0
' M4 D6 }; W0 X& b& c c=rep*i+1:n+step;& {( J7 {- W: q
f(rep*i+1:end,i)=b(1:length(c)); P/ A$ T2 ^( T$ W) I6 C l
end
; K( y2 X9 c/ u( S% J* Gend2 z% d3 s9 a; ~9 w/ y2 q( [
. i2 H# Z. w' G二 最短路Dijkstra算法
5 a( {" W6 v0 b. m& r- h% dijkstra algorithm code program%! V* @) K) o; M+ E+ j; }
% the shortest path length algorithm) H) P3 o# L! N# o, i" l* F7 B2 p5 q, h
function [path,short_distance]=ShortPath_Dijkstra(Input_weight,start,endpoint)8 H, W* j2 K8 i# T, x$ b
% Input parameters:
B# Q) P3 J1 q1 a% Input_weight-------the input node weight!
1 ~1 ]% m) ~4 d, R; ~% start--------the start node number;
5 a0 p4 g, S7 ]$ E# h% endpoint------the end node number;/ t" | G; j& Y
% Output parameters:
! w6 F& l3 ?4 J% }1 s! E) d% path-----the shortest lenght path from the start node to end node;0 Q" ~! u x+ G1 g2 K: _7 a
% short_distance------the distance of the shortest lenght path from the
+ b, j: V& f0 K( b. l! x, n5 ]% start node to end node." l4 q* J+ C0 _% |' V
[row,col]=size(Input_weight);0 M G# V R" i W
+ G* m* J2 l3 Z$ X+ p3 R
%input detection
1 t d P ]/ [3 [0 A8 ]3 k" Vif row~=col
" l! j( |$ H" P& b! n error('input matrix is not a square matrix,input error ' );
1 Y" s$ a$ u5 n4 X7 Jend
8 e0 T0 B% o' ^$ `6 k% |- B2 Jif endpoint>row
1 ~! J7 F& X9 j% i& O3 S: j error('input parameter endpoint exceed the maximal point number');) ^8 f, x7 t3 N4 C
end
6 e4 w+ l! ]5 S/ G3 ]( m7 V S Y% v1 V2 W& K6 I1 u% c4 E
%initialization
% i Z* D5 {5 U3 Q8 l4 n4 qs_path=[start];
5 `( M b' J7 rdistance=inf*ones(1,row);distance(start)=0;
1 V$ \2 q9 R0 T/ d9 e) P% Jflag(start)=start;temp=start;
& K" `1 K/ ^2 D+ J& H3 q/ n) u$ V
' S Y3 B9 {% Q/ Q cwhile length(s_path)<row) P& U5 ^$ @' Y* y$ I
pos=find(Input_weight(temp, : )~=inf);
2 U# o6 k k# P/ J( i for i=1:length(pos)/ }% M3 n7 S/ i: }+ |
if (length(find(s_path==pos(i)))==0)&- a& I$ N- P) y* ?6 r
(distance(pos(i))>(distance(temp)+Input_weight(temp,pos(i)))). C! L8 U: b( u% _: @
distance(pos(i))=distance(temp)+Input_weight(temp,pos(i));
- e: n: u% {+ c flag(pos(i))=temp;
& |0 i0 r7 Y# A, Z3 X end
! [% s" Y3 U8 A, S end
& h" x% y% z' Z. A k=inf;
2 C+ \$ ?7 D4 V for i=1:row2 a l2 B. `# e& ~ P
if (length(find(s_path==i))==0)&(k>distance(i))! s0 z5 R$ p0 k
k=distance(i);
0 h: t0 o, x3 ~1 g temp_2=i;
* k6 _, F1 x# l& w end
/ h6 G* X: C4 w; y9 c, c$ v/ O$ x end
7 R, ?4 A/ m/ F" e- q _" J% d; o s_path=[s_path,temp_2];2 W! i. G: q" v; v. C' c
temp=temp_2;
( y. ? c. D6 H) z9 V4 i; Iend
9 h, {4 n o( G+ J! d& s. }: a X% o' ?+ ?# s" C8 j! ^( u
%output the result, s' F; q+ Q/ U6 \! S" A" P
path(1)=endpoint;
4 a$ o/ u4 e! R4 qi=1;
. s$ v0 \0 k$ y# z6 T* O3 Fwhile path(i)~=start
1 N- x+ v$ m3 i; A9 X: s+ q* r5 w path(i+1)=flag(path(i));
8 A& F* g4 {" K9 M i=i+1;
9 o6 F& C! \0 T- lend& K$ M) t& e! K4 @! |4 m: }
path(i)=start;
1 h1 v7 M1 l7 Opath=path(end:-1:1);- i( q6 o' s* E& }
short_distance=distance(endpoint);% ~2 X" S- x) X r5 A
三 绘制差分方程的映射分叉图
$ f3 Z g( B5 J- k0 E9 M" C! y1 l! T3 T7 R0 m
function fork1(a);
. `7 P" `5 E7 o8 Y& F, Q. K' g2 m5 h7 b6 K. m: ]
% 绘制x_(n+1)=1-a*x^2_n映射的分叉图2 [+ l$ }" Y C6 Z4 {+ @
% Example:
4 E# F' e1 Q% \% fork1([0,2]);
6 T/ g. U. R; T3 ?' Z, yN=300; % 取样点数
# D$ w; R& v3 L$ V) _A=linspace(a(1),a(2),N); 7 ^2 t& x: v! ^/ ^# R! f
starx=0.9; ( b1 o2 Q7 n: P, L5 _
Z=[];
/ Z! y4 R( F2 }7 G: T' Oh=waitbar(0,'please wait');m=1;. i6 L& U7 Z$ ]4 T {
for ap=A;
L$ x ]* @# B# O x=starx;
2 L% K" J9 d7 s2 y* V( r | I for k=1:50;
& G( d. o% {6 ], x1 T. g+ o x=1-ap*x^2;
$ T" i$ n- N6 b8 @; A' A end 1 _" @6 J$ e7 a9 V" {) h
for k=1:201; " H: M8 d& c& S3 l
x=1-ap*x^2;
& G/ k; |7 S* a0 ^ Z=[Z,ap-x*i];
3 q& R/ u2 @5 W/ L; r end
. B4 ? g% c' c+ z2 K' @8 P/ a$ S waitbar(m/N,h,['completed ',num2str(round(100*m/N)),'%'],h);
7 D2 r3 H6 ^5 g; O: k: p6 Y m=m+1;$ h7 G1 x. F* N( c5 B* J
end
) I- Z* X, E0 f9 D: O& _/ T8 ^; ~" Kdelete(h);/ [1 p5 Z. s3 A' f& e$ d* ~
plot(Z,'.','markersize',2) : m' d6 p+ I; K6 N
xlim(a);
" h/ @! K0 ^; U u Y8 S+ W7 Q! d( V7 q2 j! P
四 最短路算法------floyd算法
+ A1 ^! y: ^/ A, `5 M0 [function ShortPath_floyd(w,start,terminal)
! ?% Y/ q$ W Y5 n$ P9 C2 p3 Z%w----adjoin matrix, w=[0 50 inf inf inf;inf 0 inf inf 80;
" |1 ^, A5 E0 n! g; k2 ?%inf 30 0 20 inf;inf inf inf 0 70;65 inf 100 inf 0];) ?& M) [, Z. h- D! I
%start-----the start node;
7 C8 N8 ^! y+ i1 \- Q%terminal--------the end node;
; S( A, k' A3 G V- \$ A+ xn=size(w,1);
8 ]3 M1 `; m# c% k3 ]1 i# [[D,path]=floyd1(w);%调用floyd算法程序
- m. k; A) S; X: V" X; h/ u1 o! h( D2 Z' q' _
%找出任意两点之间的最短路径,并输出
# X9 C! p, g; a" g: ffor i=1:n
" g9 K: U$ h F% c$ R0 l' c for j=1:n/ ~: j {. P0 @7 K f `
Min_path(i,j).distance=D(i,j);
" `" F/ v- ~+ k( q" c2 R: T- M %将i到j的最短路程赋值 Min_path(i,j).distance
( I: A( x$ i. _ %将i到j所经路径赋给Min_path(i,j).path
, f, Y: ~5 O5 @8 N0 z. D Min_path(i,j).path(1)=i;7 n" ]% o) R3 G" ]
k=1;
+ ^6 a6 ]- K& C1 b3 x while Min_path(i,j).path(k)~=j4 {& e3 F' \, G5 N# _9 x
k=k+1;
0 O2 n! z9 x" Q6 Q Min_path(i,j).path(k)=path(Min_path(i,j).path(k-1),j);
3 v1 S8 b' H1 Y% g! n* G end* s& K4 z6 j, j" W4 M- D3 x
end5 {* V$ {/ I) I5 _- h0 P
end6 x4 L, T4 V9 |0 J" u7 T& k' q
s=sprintf('任意两点之间的最短路径如下:');
" w0 u/ m3 E' g1 q* qdisp(s);" ^' C. e/ x, ]# C( Q
for i=1:n
" [) |, A# C9 m5 G! n for j=1:n
: d2 K' b3 N: t! u s=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:'...
7 K1 L+ A% s, R J3 K% c ,i,j,Min_path(i,j).distance);# x# o0 ?3 h) R$ O5 E" y" ]
disp(s);( n7 S6 |3 y J$ U1 V! o
disp(Min_path(i,j).path);8 ?+ K' C9 A% s% e
end2 q% v& o6 ~) y# v& G
end6 ]0 `0 }+ E) n3 r1 l) [8 h! k( Z! g
2 C/ M3 r+ Q" |" I* v/ b
%找出在指定从start点到terminal点的最短路径,并输出8 D+ Z+ G+ }& p' ~1 [* Z
str1=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:',...
8 q6 x9 _% D2 d% T start,terminal,Min_path(start,terminal).distance);
% j6 l6 ^/ |7 |; E; Y: qdisp(str1);
1 x/ q$ i. O; B' l `! vdisp(Min_path(start,terminal).path);
" G6 l0 w% Y; b3 M% D) J1 E
. R# b' G" l+ a) B K' y%Foldy's Algorithm 算法程序
1 u1 A# ]+ Y7 Gfunction [D,path]=floyd1(a). L6 S3 U9 j+ n
n=size(a,1);$ l4 @7 M: j8 E: j. Q" k8 y6 d" c( j' E
D=a;path=zeros(n,n);%设置D和path的初值
# |# b0 v) Y, @for i=1:n, p3 {" Y" L2 t7 ^& ?6 ]
for j=1:n0 x* p% M2 F V. U
if D(i,j)~=inf f9 I. ^8 C8 r4 r4 f U: {
path(i,j)=j;%j是i的后点 F1 N& \# j1 F5 [7 Z2 w$ O) \: T
end: b" w9 J% N# g' D( R$ S
end
6 o- s+ C: U: \+ N h; W9 P# m. Vend
: ~ v) L+ q z$ c/ c# J%做n次迭代,每次迭代都更新D(i,j)和path(i,j)! i3 C$ r4 o( y( k; q( M
for k=1:n
7 i: Z% i- D d; ^ for i=1:n
" e X% l% r9 D" J% U for j=1:n8 W5 u0 ~# ^9 {
if D(i,k)+D(k,j)<D(i,j)
% E* ]& F2 L1 Z" _8 x D(i,j)=D(i,k)+D(k,j);%修改长度# t- n7 y3 s/ K3 ?& d
path(i,j)=path(i,k);%修改路径
3 A l; a2 f ]& C% V, ] end5 u2 ]0 @" ]) U# T
end: {5 P8 v _. f+ d+ W4 @2 O, z
end
- o; P: d: w0 U+ {8 @+ e4 jend! f/ H' u* n! }5 a* [' V8 T @
+ V. G1 s4 a7 ?
五 模拟退火算法源程序
E, \, l" H- _function [MinD,BestPath]=MainAneal(CityPosition,pn)* J/ x' r0 X4 d9 R9 J9 W' W& X
function [MinD,BestPath]=MainAneal2(CityPosition,pn)) p" { h; ^" J. o$ p% F" R
%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
/ @ N) n3 m: i! {/ m& g%CityPosition_31=[1304 2312;3639 1315;4177 2244;3712 1399;3488 1535;3326 1556;...( L0 W) g {4 r+ i; q
% 3238 1229;4196 1044;4312 790;4386 570;3007 1970;2562 1756;...) o! B7 {# f" o: U0 V8 q+ ?9 h4 L
% 2788 1491;2381 1676;1332 695;3715 1678;3918 2179;4061 2370;...
3 a: I, C8 M/ ~! P, b% 3780 2212;3676 2578;4029 2838;4263 2931;3429 1908;3507 2376;...- T6 R+ z# ]. H3 Y
% 3394 2643;3439 3201;2935 3240;3140 3550;2545 2357;2778 2826;2370 2975];4 c7 k X# u! n7 r% x4 L
) H" `% H2 s9 \+ i3 l! s( c! f O# m%T0=clock
; K5 O) U& h, o% `. o8 Xglobal path p2 D;2 P( A/ d( x' a' F. ?4 O
[m,n]=size(CityPosition);
; V7 E9 K8 S# f( S3 ]3 i% s( G1 p%生成初始解空间,这样可以比逐步分配空间运行快一些/ }* s" _$ Q4 L9 `% s
TracePath=zeros(1e3,m); T. z" t6 a6 X8 B0 Q
Distance=inf*zeros(1,1e3);4 V6 _* V7 ^- u$ z! Q9 K/ Z+ |0 W
5 y9 M0 `$ V1 u2 z% m9 w8 v0 ]D = sqrt((CityPosition( :, ones(1,m)) - CityPosition( :, ones(1,m))').^2 +...
/ _; e9 ^6 D1 n! X. F (CityPosition( : ,2*ones(1,m)) - CityPosition( :,2*ones(1,m))').^2 );
! ^6 c6 i/ K# f, ^. R. ]4 I%将城市的坐标矩阵转换为邻接矩阵(城市间距离矩阵), B6 Z+ q; n! G
for i=1:pn/ ]8 F( a$ d p3 a% q$ i
path(i,:)=randperm(m);%构造一个初始可行解0 {8 ~! A2 B4 w0 Y* i# G3 g
end
`: f0 c) R1 W! S2 i: c8 y* Qt=zeros(1,pn);
1 H# b+ d6 \' Xp2=zeros(1,m);8 V% ?( x$ a# j* X" m" i
$ J/ w: y+ S& e* y# o) f$ qiter_max=100;%input('请输入固定温度下最大迭代次数iter_max=' );2 G( K n G# o: z% B4 x
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=' ) ;
- ~ U6 z4 z- j6 ^. [. ?, K4 g( 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
$ v, d6 B" I! B, E1 f%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
8 H+ H! h3 U6 V* O%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 [1 p: U% i0 B+ w6 T5 }4 C
%会收到到比较好的效果
$ V6 H6 N1 z3 S6 J4 Q' O8 v
' K& i* u1 j$ _. S0 a; hT=1e5;0 @7 v+ M: K/ [
N=1;2 N. i* u% e3 s9 T' ^! t2 q9 G- L- J+ Q
tau=1e-5;%input('请输入最低温度tau=' );( |5 r, W0 o( `
%nn=ceil(log10(tau/T)/log10(0.9));
" u! m% K; B3 T' c/ x9 N* Qwhile T>=tau%&m_num<m_max ( r& D r. D1 k& X' f2 h) ~
iter_num=1;%某固定温度下迭代计数器 T/ r: }$ ^6 N! W9 d& C# h+ T
m_num=1;%某固定温度下目标函数值连续未改进次数计算器5 g5 [6 N5 i6 L% R
%iter_max=100;# I7 v+ v$ i) d( `" W* M5 X9 S
%m_max=10;%ceil(10+0.5*nn-0.3*N);4 c) Y \0 Y# e5 r2 v
while m_num<m_max&iter_num<iter_max
, a! d' j& _+ B. C %MRRTT(Metropolis, Rosenbluth, Rosenbluth, Teller, Teller)过程:
& ]) g# r6 ?4 T t2 C. b3 ~ %用任意启发式算法在path的领域N(path)中找出新的更优解) L( `+ Q/ I* y3 r
for i=1:pn
/ }1 R- T% [0 H# W9 `& l; ` Len1(i)=sum([D(path(i,1:m-1)+m*(path(i,2:m)-1)) D(path(i,m)+m*(path(i,1)-1))]);
' r: s, f: H) B, U5 u%计算一次行遍所有城市的总路程
- A! ?) _0 l1 M8 p3 `1 X [path2(i,: )]=ChangePath2(path(i,: ),m);%更新路线- _2 ?7 r# V) g) p2 e$ c
Len2(i)=sum([D(path2(i,1:m-1)+m*(path2(i,2:m)-1)) D(path2(i,m)+m*(path2(i,1)-1))]);
3 E! i( @0 ]8 M; }: ]! _" P end
; a! ^" y6 x9 D# E %Len1
h2 m. s" P& P9 B$ @ %Len2
8 H- ~. w) C0 B- h# z %if Len2-Len1<0|exp((Len1-Len2)/(T))>rand6 Q+ Z2 g5 {& Q' r0 z( m
R=rand(1,pn);$ _+ m! @& J1 B+ e5 o( h( {4 d) r
%Len2-Len1<t|exp((Len1-Len2)/(T))>R
P- i; H6 B. A: t if find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0)/ i& V( ^4 R, z& I& _9 c8 m
path(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : )=path2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : );9 q. Q1 H$ v, e0 ^6 w; T% l
Len1(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0))=Len2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0));
+ c% o6 i# b4 n5 T6 A3 Z [TempMinD,TempIndex]=min(Len1);& E* S2 q$ r& g% N8 [5 W3 }
%TempMinD
/ M6 n! B- x s7 y TracePath(N,: )=path(TempIndex,: );
- p" I7 K; x- s) [. r, j* T. Z Distance(N,: )=TempMinD;4 z* V5 o4 H6 i' R9 M6 m! L+ f
N=N+1;
}8 l. S p# j4 S %T=T*0.9: Y1 y" |! [; B9 l* ^
m_num=0;
1 }4 t5 ?0 d; S# T2 P/ I% q2 h else$ p3 c2 t( T: N% Y
m_num=m_num+1;; _. F7 s8 _5 C; H- Z+ Y
end- H# @6 g- Y% H& z3 C2 Q$ s
iter_num=iter_num+1;4 k( I& D) B6 O5 T
end
# [2 N) ? m5 N9 P5 r) P# f T=T*0.9& \' y. _. y) f A
%m_num,iter_num,N/ O0 o, F! t- P& }- |. d
end 6 m( j" ^# d8 ?. D8 }" o. y- P
[MinD,Index]=min(Distance);
9 n, m- k( H A1 L: T1 h; u# Q9 Y9 WBestPath=TracePath(Index,: );
+ R. ~# M5 |$ t* G! W& W0 ^disp(MinD)
4 Z' w1 v- ?6 A%T1=clock
6 z# L9 j L- e$ b; R. D Z 7 M7 k, G+ ? u
9 a7 ?1 P F v/ `; h! r3 I' l g%更新路线子程序
6 l- K* z, T& ~5 @, afunction [p2]=ChangePath2(p1,CityNum)
- S5 N9 x) _. }. `global p2;7 a$ O1 V1 z1 l# y7 c4 t m" R
while(1)% j$ S6 {, z$ _$ n! Z
R=unidrnd(CityNum,1,2);' {' l. X) M: G j" F- m
if abs(R(1)-R(2))>1) p9 l" e" Z- W4 } O6 b# m1 o8 ~
break;5 j# N) d0 f& l( `- w2 v; [4 s
end' X; I' A# q9 o6 z2 |
end
/ S3 W8 P A! K3 K1 y. @+ H0 iR=unidrnd(CityNum,1,2);
% }# ]. E3 e9 H0 Y1 a/ |2 m3 E" eI=R(1);J=R(2);9 K/ B& a3 F; R I
%len1=D(p(I),p(J))+D(p(I+1),p(J+1));4 A1 @0 X" [' B6 ]' l0 O' D
%len2=D(p(I),p(I+1))+D(p(J),p(J+1));
/ H+ V, X% a% |8 g" ]if I<J; v! m2 s# v. ^2 {% z }. h& F
p2(1:I)=p1(1:I);
0 A! M5 G6 D8 c$ r p2(I+1:J)=p1(J:-1:I+1);
" k/ o0 v& s5 k& s p2(J+1:CityNum)=p1(J+1:CityNum);2 Y8 I+ m) B1 C& j- b6 [/ Q
else+ l) i' o! T+ M7 w( @* t7 R* W
p2(1:J)=p1(1:J);/ g( A5 K6 ~- ]8 u3 S3 S5 }5 x
p2(J+1:I)=p1(I:-1:J+1);# U" j# i) H) z# n+ v2 h
p2(I+1:CityNum)=p1(I+1:CityNum);
( I+ f* G0 w4 {/ Vend, ?+ ^0 \7 Y( a, {* ~- c
3 X/ K0 K: a T) E' p [六 遗传 算 法程序:; {1 |4 j5 I- W7 F6 V/ b* Q, e0 R
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!
. f: `! e; d! \1 Q. c/ b9 ^+ M! `0 o1 }! S
function [BestPop,Trace]=fga(FUN,LB,UB,eranum,popsize,pCross,pMutation,pInversion,options)1 `3 E# i) C9 \! ?0 N4 y2 z
% [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation)
3 G8 M: N: g R) ?3 A' k" ]% Finds a maximum of a function of several variables.
: q2 _/ o1 d8 I6 J$ `3 \% fmaxga solves problems of the form: ! N( [- v# D9 p7 j* l% e
% max F(X) subject to: LB <= X <= UB $ ?. k2 j7 V8 F3 q: b
% BestPop - 最优的群体即为最优的染色体群0 q$ G3 E: B$ y
% Trace - 最佳染色体所对应的目标函数值
7 o) c& E3 F+ b0 L& G6 E1 Z' w% FUN - 目标函数+ k3 M* X+ j! t! N% I" \
% LB - 自变量下限
1 G+ L! R$ ] e& H- a% UB - 自变量上限' M0 f; }- M- Z! `7 }; j
% eranum - 种群的代数,取100--1000(默认200)4 @ r& P7 s6 {6 a! Y8 Z0 S
% popsize - 每一代种群的规模;此可取50--200(默认100)9 s4 @2 h ?/ _
% pcross - 交叉概率,一般取0.5--0.85之间较好(默认0.8)
' P3 i( n7 D1 {9 {1 p/ q% pmutation - 初始变异概率,一般取0.05-0.2之间较好(默认0.1)1 |, a* d' H4 k, z8 A% ?2 ]
% pInversion - 倒位概率,一般取0.05-0.3之间较好(默认0.2)0 g& D$ p) P. i
% options - 1*2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编, j. V6 c- X3 Q# t4 u* y
%码,option(2)设定求解精度(默认1e-4)2 ^2 [, n6 M# y
%5 @; J2 ~* I1 \( p, r
% ------------------------------------------------------------------------' N8 Y% v& C( N3 G/ Y' b; f
& F( {. L' j) rT1=clock;- I- m$ W: @5 T9 u$ X# R
if nargin<3, error('FMAXGA requires at least three input arguments'); end/ u2 O, }# s4 Y% H ]* O; J
if nargin==3, eranum=200;popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end4 J- G/ X: T. |+ ]' N! b
if nargin==4, popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
6 M" f3 }' E' z0 @! U) bif nargin==5, pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end; m; c7 {! _7 c6 j, @. Z9 Z# o Q7 R
if nargin==6, pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
) ^: T5 R) R& [if nargin==7, pInversion=0.15;options=[0 1e-4];end
, O8 j$ K6 T; o kif find((LB-UB)>0)) O, N5 t; g- j+ ]. N
error('数据输入错误,请重新输入(LB<UB):');
% X1 u) W7 c& p5 T# K' ^end3 F! s2 L& v6 p$ V h! t, [
s=sprintf('程序运行需要约%.4f 秒钟时间,请稍等......',(eranum*popsize/1000));
, t* f+ K V8 G8 Ndisp(s);
' h. j5 s8 M' D Y! f: b. o
, Z' b& J0 ] _7 f) Vglobal m n NewPop children1 children2 VarNum. _4 h! Y" @& V/ r! W& k
7 Y$ a0 K* q u$ Q7 d
bounds=[LB;UB]';bits=[];VarNum=size(bounds,1);# z- X( ^8 K6 f) a
precision=options(2);%由求解精度确定二进制编码长度
# |6 R" _7 ]" w+ p7 M& [5 Hbits=ceil(log2((bounds(:,2)-bounds(:,1))' ./ precision));%由设定精度划分区间4 x2 ]* x: j$ v) ^( d, e& a
[Pop]=InitPopGray(popsize,bits);%初始化种群# j$ g% T& U3 m7 z
[m,n]=size(Pop);
0 ~6 H6 j# q+ k: Q MNewPop=zeros(m,n);- k+ q7 b1 w0 a
children1=zeros(1,n);) p; J# U/ f1 W0 |( C0 } I
children2=zeros(1,n);5 Q9 M7 f( t) Y
pm0=pMutation;
& x3 i/ y3 E6 d" I& E( ZBestPop=zeros(eranum,n);%分配初始解空间BestPop,Trace/ [# W# C$ y) y! u7 e# o. m% \0 H% [
Trace=zeros(eranum,length(bits)+1);) v. ?7 e$ c4 f R3 m! [7 _6 t
i=1;" H$ i6 j1 Y. P' l# [
while i<=eranum
- M* O ~# x" J7 @, p8 J$ ?% G for j=1:m
/ A( {1 K8 U3 L& f2 Y value(j)=feval(FUN(1,:),(b2f(Pop(j,:),bounds,bits)));%计算适应度
/ ?1 Y: M" p1 w+ G end
6 K$ p+ M9 Y4 z9 C. K [MaxValue,Index]=max(value);
. E+ v* L( X. C BestPop(i,:)=Pop(Index,:);
- C/ w$ q$ F" x: [2 T( T& j# u Trace(i,1)=MaxValue;
& O& o- s8 r2 l Trace(i,(2:length(bits)+1))=b2f(BestPop(i,:),bounds,bits);
/ @ ]5 ^$ I" j6 v& e [selectpop]=NonlinearRankSelect(FUN,Pop,bounds,bits);%非线性排名选择. n# [" Z8 F7 W8 r& f1 Q0 w
[CrossOverPop]=CrossOver(selectpop,pCross,round(unidrnd(eranum-i)/eranum));, r' S' f% z& W& t7 l" `
%采用多点交叉和均匀交叉,且逐步增大均匀交叉的概率, s a9 ?9 \( l' c' P
%round(unidrnd(eranum-i)/eranum)8 u* T/ u. z/ H0 e3 {4 S% Y; C% r
[MutationPop]=Mutation(CrossOverPop,pMutation,VarNum);%变异
' z, a/ w- |6 q' i/ J4 t! U, }1 H [InversionPop]=Inversion(MutationPop,pInversion);%倒位2 o, }3 F7 d* e
Pop=InversionPop;%更新1 ]/ K( ?, a) c! z
pMutation=pm0+(i^4)*(pCross/3-pm0)/(eranum^4);
3 q$ F" d) r! X& f%随着种群向前进化,逐步增大变异率至1/2交叉率
7 R3 ^' H2 M) M1 F6 O p(i)=pMutation;1 L' A0 c: Z4 \- L6 _# K
i=i+1;6 ?0 T+ F% g5 ^. a+ Z& l' {8 k! U
end
/ u' I1 v- N+ V! ^* |. gt=1:eranum;" b6 o: W/ O7 P- P& y8 [. |
plot(t,Trace(:,1)');# p$ j/ g3 [) D* n( v
title('函数优化的遗传算法');xlabel('进化世代数(eranum)');ylabel('每一代最优适应度(maxfitness)');; s ~6 e2 B) F6 x3 P
[MaxFval,I]=max(Trace(:,1));8 P$ [5 ], f4 f
X=Trace(I,(2:length(bits)+1));
' O7 V9 P4 U; K# Z0 d% \) k4 P+ `hold on; plot(I,MaxFval,'*');5 a8 s% Q3 }8 u8 R$ _
text(I+5,MaxFval,['FMAX=' num2str(MaxFval)]);
1 Z- }5 h1 k2 y" Nstr1=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,:)));
; A0 B7 O/ W: {1 R- ^. |( Z4 vdisp(str1);% P/ f; c1 V% L
%figure(2);plot(t,p);%绘制变异值增大过程4 K" m N8 w/ \* b1 C; o
T2=clock;
2 ^( o3 i& V- d: x: gelapsed_time=T2-T1;0 m5 w2 Y, I5 l$ A* A g
if elapsed_time(6)<0
' P9 `; D; \2 P. ?* q0 [/ a elapsed_time(6)=elapsed_time(6)+60; elapsed_time(5)=elapsed_time(5)-1;
9 J% L r! _6 K" Fend
7 Y2 A& Q5 x5 j5 ~if elapsed_time(5)<0
6 Q7 b% m2 A( A6 `( P3 l, z elapsed_time(5)=elapsed_time(5)+60;elapsed_time(4)=elapsed_time(4)-1;
3 I. _. h: k5 Z3 nend %像这种程序当然不考虑运行上小时啦5 }" P8 t, ?; _! ]
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));
# H* p/ Z8 ]* p- |! o! f$ k. gdisp(str2);
: b" O/ H9 n$ }! W; @
5 q/ j, c% g H6 j. n" m) p/ ~) m6 z
%初始化种群8 D2 D" p9 w+ G2 Z3 U/ @' s
%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
- e. a" F2 C5 C& m; N% B8 Lfunction [initpop]=InitPopGray(popsize,bits)2 ~9 Y8 {0 M# j
len=sum(bits);
0 X4 V. t. Z. ] pinitpop=zeros(popsize,len);%The whole zero encoding individual
; u# e2 L: _# V( W* ifor i=2:popsize-1
5 ~" H9 J) Z! u3 z9 g pop=round(rand(1,len));) F1 T$ C3 g& N* a
pop=mod(([0 pop]+[pop 0]),2);
/ f' @$ ]0 d$ y7 D7 v %i=1时,b(1)=a(1);i>1时,b(i)=mod(a(i-1)+a(i),2)
! O; l- T) i! B/ M %其中原二进制串:a(1)a(2)...a(n),Gray串:b(1)b(2)...b(n)
X/ v6 r, D% w; t initpop(i,:)=pop(1:end-1);
) ?0 x( l1 _, Q3 \$ _: mend
. X# E7 V, w2 i3 Winitpop(popsize,:)=ones(1,len);%The whole one encoding individual
) O3 `5 ~+ X2 o0 B) N. w& q8 k%解码
' B: q1 Z+ y9 r4 m0 B5 I: C
7 k p, h6 r4 z0 W( B9 Z' kfunction [fval] = b2f(bval,bounds,bits)
% k: T( E8 v2 h% fval - 表征各变量的十进制数
4 E6 H0 H! i! R% bval - 表征各变量的二进制编码串* _1 B5 n P" ~' a5 _, D% ?
% bounds - 各变量的取值范围
* f1 p4 v9 H. u) l, m% bits - 各变量的二进制编码长度
. o' f1 u/ ]" {3 escale=(bounds(:,2)-bounds(:,1))'./(2.^bits-1); %The range of the variables a z# R" S, T3 f8 q' B
numV=size(bounds,1);1 O% d8 F8 @( f& Y$ s2 z
cs=[0 cumsum(bits)];
; J- r( g2 j, O1 ^% \# l2 p" Tfor i=1:numV
+ b' ?- F, ]! Q8 f2 W a=bval((cs(i)+1):cs(i+1));
$ v7 `$ @& M, k fval(i)=sum(2.^(size(a,2)-1:-1:0).*a)*scale(i)+bounds(i,1);- r- b! J: Z% u4 g J. X
end
* |$ l7 M1 X4 G9 M%选择操作
* E" {, l" Y: w%采用基于轮盘赌法的非线性排名选择
/ \& V1 S( }/ O( C%各个体成员按适应值从大到小分配选择概率:
& q, M# T- y; K; C( |; A%P(i)=(q/1-(1-q)^n)*(1-q)^i, 其中 P(0)>P(1)>...>P(n), sum(P(i))=1
+ }! ~, P* Q4 v" R" L" a- w* |6 S7 q
* h) `7 N9 a& L% |0 Gfunction [selectpop]=NonlinearRankSelect(FUN,pop,bounds,bits)
1 l+ g. l, G& T2 p1 kglobal m n
6 r1 F* }% C7 Vselectpop=zeros(m,n);1 \8 f+ X( q" X3 M2 M: X/ ^
fit=zeros(m,1);
P, Z0 X) B! }8 M+ r& U2 Q4 Afor i=1:m
& d/ R. [( O! y8 V5 b& Y& r fit(i)=feval(FUN(1,:),(b2f(pop(i,:),bounds,bits)));%以函数值为适应值做排名依据
& V1 x& y( q/ g+ q( @/ p# J, K( eend
* q' l' ^ T8 x. m& ]3 g9 {0 h; u6 mselectprob=fit/sum(fit);%计算各个体相对适应度(0,1)
6 E2 D4 n6 Z S Q- Rq=max(selectprob);%选择最优的概率; G$ _' U) `9 B
x=zeros(m,2);0 B# Z' b" _' ~9 y. A5 @! J, I) L
x(:,1)=[m:-1:1]';3 `& X$ a& r) L/ W0 _( ]
[y x(:,2)]=sort(selectprob);4 e- i3 S# Y( I- k0 U3 S3 l
r=q/(1-(1-q)^m);%标准分布基值
' @8 Z) [& A- [6 I8 l% P4 d' @newfit(x(:,2))=r*(1-q).^(x(:,1)-1);%生成选择概率
) ]$ O% k) e3 Z1 e g* y+ a; w% Xnewfit=cumsum(newfit);%计算各选择概率之和( g, J1 V( N# E
rNums=sort(rand(m,1));4 J. j- ?# R( j; I3 w
fitIn=1;newIn=1;
( a. K( y: ~! d O* e6 rwhile newIn<=m+ |( q, E4 w5 f ]
if rNums(newIn)<newfit(fitIn)
' B: K9 t( O; w0 u5 {/ x selectpop(newIn,:)=pop(fitIn,:);
# W0 M3 F Y8 k newIn=newIn+1;
" h2 ]$ _7 g4 ^& b' C4 u else
, Y8 [# N6 A* D' }: i5 w) S1 V fitIn=fitIn+1;
% J+ s: _! W) G# D2 F5 Q end
) D& v- w: v8 v6 u9 T" T$ y) B" Mend0 ]8 o- H9 ^6 I# Q2 K8 C) s
%交叉操作3 L" O" Q: y! F( G' a9 C% E
function [NewPop]=CrossOver(OldPop,pCross,opts)* a2 R# d% A- g b2 ?" K4 W
%OldPop为父代种群,pcross为交叉概率: H2 Q' t- A: l) m: P1 t y
global m n NewPop ! w% ?) Z P7 I! i- f: x
r=rand(1,m);7 D* ^1 n( Q/ c4 Y6 {0 I0 r
y1=find(r<pCross);
( ]$ O. @- G) ]$ w9 fy2=find(r>=pCross);
8 P+ ^" ]. K) ]) t) N( @/ Xlen=length(y1);
8 {. V% U+ R! t( Rif 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
. {2 e6 `, M( m y2(length(y2)+1)=y1(len);. |* @7 `, p. [! Q B& g3 a& O
y1(len)=[];
3 _$ i/ U9 D2 @: h2 @4 bend
% s% J. x2 C; ~if length(y1)>=2$ C! B0 k- D% {$ _3 c
for i=0:2:length(y1)-25 x: U# B! \; w' _
if opts==03 v7 a+ O2 W: L3 B5 u2 A
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=EqualCrossOver(OldPop(y1(i+1),:),OldPop(y1(i+2),:));6 ]! ?! A, B5 B0 T9 g
else l# H l* M: m4 A$ t$ R N
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=MultiPointCross(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
& w4 w) W2 m3 a( a. ~ end
. [9 W/ U2 g3 t end
! ^- o- w" ]2 F: F5 Iend
# C+ ~7 z3 M2 B. F+ ^3 m6 ZNewPop(y2,:)=OldPop(y2,:);
3 @5 j+ H' r, e
* @ d$ V$ \7 U G" Z5 w%采用均匀交叉
7 K8 D+ N" D- B ^+ I" c, ]function [children1,children2]=EqualCrossOver(parent1,parent2)( q- k, P6 P. m$ s3 L' M
! s8 d W# {% ?( Nglobal n children1 children2
; ]/ z$ C; x7 e! p3 ^hidecode=round(rand(1,n));%随机生成掩码" j6 B, ^ H; e% m; R, h. |4 t
crossposition=find(hidecode==1);
- d3 {2 o! y8 H2 ?5 \holdposition=find(hidecode==0);
* U) Q% R; {; M- P# A- A. Ychildren1(crossposition)=parent1(crossposition);%掩码为1,父1为子1提供基因
# D2 }* Y8 p& V' C, U uchildren1(holdposition)=parent2(holdposition);%掩码为0,父2为子1提供基因7 j# d, s; t6 S& T
children2(crossposition)=parent2(crossposition);%掩码为1,父2为子2提供基因
2 ?! _9 y- k- p6 v0 nchildren2(holdposition)=parent1(holdposition);%掩码为0,父1为子2提供基因
3 ?; t X7 H' y/ L: d
. R! @/ Z E5 M% O2 V: T%采用多点交叉,交叉点数由变量数决定& j/ L, F- C) o: n% h
4 U& H0 N& ~' d- g+ i! p
function [Children1,Children2]=MultiPointCross(Parent1,Parent2)
8 c4 s5 a- c* t/ }- |- [ T: v! H1 g4 g5 P
global n Children1 Children2 VarNum
1 u* c( k5 n. p3 G: {2 e( i/ SChildren1=Parent1;1 f; J+ ?, z7 ]: o# G* I8 p( @9 z
Children2=Parent2;
/ c" f# e, R7 p& W6 l. M' MPoints=sort(unidrnd(n,1,2*VarNum));9 j) x2 d) O9 c+ s2 d3 f5 n# a
for i=1:VarNum
+ n" X" G: _7 H4 G' K Children1(Points(2*i-1):Points(2*i))=Parent2(Points(2*i-1):Points(2*i));3 m. ]* y t# k- k" p+ z
Children2(Points(2*i-1):Points(2*i))=Parent1(Points(2*i-1):Points(2*i));
' h' H, ]2 Q0 H1 K; }end
% l3 o$ R; v' o( m9 u
* ^2 n; j m' Y9 g7 y r3 ^3 C%变异操作
: @# v2 C% I' Jfunction [NewPop]=Mutation(OldPop,pMutation,VarNum)
* a R' }. I& K! `# K
5 y; L3 W, P& j8 o" [ |4 I2 y) fglobal m n NewPop
. k' f- E: F& c& @, ^# ar=rand(1,m);( K$ \( |% B5 \/ q5 @
position=find(r<=pMutation);2 z. Y0 R' t7 ]) i( a- a" \
len=length(position);, @! Q4 A1 v- E% H8 {% F0 Y* f
if len>=1
& Z l+ Z. J" V$ p for i=1:len
n; u* L6 d, F k=unidrnd(n,1,VarNum); %设置变异点数,一般设置1点- G$ R" J* D2 R+ t4 h; \! b( n4 w d
for j=1:length(k)# b9 H) q9 v G# W" `
if OldPop(position(i),k(j))==1
, [5 F4 J; \ _9 _# _ OldPop(position(i),k(j))=0;6 T' L0 }5 s: P! k; e( x$ }1 G
else
- l8 j2 ~; V+ H5 Q* {2 C1 u OldPop(position(i),k(j))=1;+ E; l! U ] L' F) L
end
. t1 ~; W- c4 n- t end
% ~ E a9 @, ]5 ? end
Z6 Q5 D7 C( y, kend! w o9 Z8 X; j) w* `
NewPop=OldPop;" k5 \8 h+ [4 N% I
% G7 i1 k. {) _+ |/ _%倒位操作
# E( G- j0 _4 B6 w, `- c! X/ @- \2 i5 C/ G
function [NewPop]=Inversion(OldPop,pInversion)
/ {7 z) O+ m( j5 }$ Y4 P
. X! p" x9 _$ U7 Rglobal m n NewPop
H4 z$ E- c2 a4 x7 }. X. X' @NewPop=OldPop;6 y- C9 C! @6 S" }& G, Y" q- t
r=rand(1,m);8 D3 G" w* O+ h1 t5 Z
PopIn=find(r<=pInversion);5 Z2 K# G& H- d
len=length(PopIn);0 H2 F3 T! _" M. Y( r5 {# t
if len>=1+ ? K9 ]& {( v7 j+ c
for i=1:len+ `: W5 y% O" L
d=sort(unidrnd(n,1,2));
3 x- H$ K! z9 \$ O9 | if d(1)~=1&d(2)~=n8 Z3 ]" ~( o }: G9 _
NewPop(PopIn(i),1:d(1)-1)=OldPop(PopIn(i),1:d(1)-1);
! m6 L2 s. F% L; @ NewPop(PopIn(i),d(1):d(2))=OldPop(PopIn(i),d(2):-1:d(1));
, z2 @% q5 m0 b NewPop(PopIn(i),d(2)+1:n)=OldPop(PopIn(i),d(2)+1:n);
5 G3 i8 F/ l- `( R end
/ x5 R/ E( B' U! \; B* Z end& s& H5 {. I6 L) q
end/ C" y) S7 X l- Q
$ g6 W* X2 R6 \5 K
七 径向基神经网络训练程序
: Q, r9 X) S! k( M' J
! e! j W8 B, Dclear all;7 M* L# |3 d( M; b
clc;, O# W: ~6 Q+ F; G! Z6 L+ l0 g+ _
%newrb 建立一个径向基函数神经网络
- K8 T" K6 e# I+ b4 Tp=0:0.1:1; %输入矢量
: z _9 H0 @% R+ Vt=[0 -1 0 1 1 0 -1 0 0 1 1 ];%目标矢量
) a. D, R8 w+ ]( Q8 `& Sgoal=0.01; %误差
: Q) I v2 J& B- j( D- z: _$ Psp=1; %扩展常数# c. g# {- B7 S7 ^
mn=100;%神经元的最多个数- `+ t( a- C5 f( j
df=1; %训练过程的显示频率8 u4 o, E; D2 F% Z: D7 F
[net,tr]=newrb(p,t,goal,sp,mn,df); %创建一个径向基函数网络
/ M$ o1 u. d+ m; d ?7 o% [net,tr]=train(net,p); %调用traingdm算法训练网络
: I6 j* U/ F' ?9 Z w" N. m%对网络进行仿真,并绘制样本数据和网络输出图形
3 N& ?' Q% F& z3 N/ t, V# C4 |3 s/ rA=sim(net,p);
+ i6 N* _5 e, P dE=t-A;8 X8 ~. _0 {, V* @+ e
sse=sse(E);! m. w1 H# Z4 u: @0 P9 s0 H6 g
figure; 1 Y; T& | \$ a& q8 U: l
plot(p,t,'r-+',p,A,'b-*');
, I4 B0 z2 A2 z( klegend('输入数据曲线','训练输出曲线');
! i$ n. a' @2 d8 Mecho off
. n! m: w" r* Y2 G( p9 x4 I o/ N) _$ O: r; N
说明:newrb函数本来 在创建新的网络的时候就进行了训练!2 c2 F9 A" d6 D
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,
' D' p8 o& E2 f; f& I* y4 I8 Y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!" y6 h+ Y6 X) P
; y9 n( s' q; c: s
9 W2 I9 h' w/ ?2 F! Y" O训练结果显示:
) W6 r _/ l* v3 `5 ^NEWRB, neurons = 0, SSE = 5.0973
- ?6 U( j. @4 ~0 E7 v- d7 W- oNEWRB, neurons = 2, SSE = 4.87139
* o! o- s9 l! T% U) F* y1 jNEWRB, neurons = 3, SSE = 3.611767 F7 z$ z" v8 w( f, j
NEWRB, neurons = 4, SSE = 3.4875
$ B$ D- G! M5 E+ J' Z; x0 C& QNEWRB, neurons = 5, SSE = 0.534217; ]; P! Z4 R9 V: r/ E
NEWRB, neurons = 6, SSE = 0.51785
: h7 }' P3 \" a1 w" h8 u$ _: p1 eNEWRB, neurons = 7, SSE = 0.434259
) U6 H5 V! e' C( {2 h- X1 ^NEWRB, neurons = 8, SSE = 0.341518# x( @; S# D6 @9 c
NEWRB, neurons = 9, SSE = 0.341519
- R1 F+ S' E3 RNEWRB, neurons = 10, SSE = 0.00257832: k, @8 }% e& C$ c6 `% Y
$ t6 a& Y7 [- ~- w, ~7 y
八 删除当前路径下所有的带后缀.asv的文件* F* S7 v+ Z# `! u
说明:该程序具有很好的移植性,用户可以根据自己地# D& v% q6 l/ r. _7 F
要求修改程序,删除不同后缀类型的文件! + }* r0 q6 t1 F1 \' o" V
function delete_asv(bpath)
& B2 E0 _6 _2 I' L0 @%If bpath is not specified,it lists all the asv files in the current
5 Y1 I4 ]" O% V: S%directory and will delete all the file with asv
* ~, N7 Z9 X& Z0 ~" s B% Example:; O9 a. U6 `! _ v# \
% delete_asv('*.asv') will delete the file with name *.asv;
$ c0 @( X: Q! e% delete_asv will delete all the file with .asv.! O+ p2 |5 _5 J3 M& m9 P
: B* g# {. l/ F0 U1 Y2 [1 `if nargin < 1
) b, L$ Y2 G2 ?( G% L%list all the asv file in the current directory, S* ^0 P& e; O/ ~2 h
files=dir('*.asv');
* b! L3 z9 `$ v! U+ Q- C3 B6 Y. Lelse
4 ]9 G* o; u0 |5 p! v. k% find the exact file in the path of bpath' Q6 ^8 k+ Z; s
[pathstr,name] = fileparts(bpath);$ l" W" E+ }/ L) f" v: J/ e
if exist(bpath,'dir')
& |6 H$ E! A# E( f1 [3 I+ z1 r name = [name '\*']; t$ c- U5 o# m
end
4 n; e/ M( K5 J ^ ~2 f2 P ext = '.asv';5 c# k# ]1 |" S! i0 e
files=dir(fullfile(pathstr,[name ext]));
6 e2 O4 t7 a. A" ?1 c, }end; m W$ u r8 y" S
8 V% Q' ?4 s* }
if ~isempty(files)
% q) F3 m; \) M& @% r8 R for i=1:size(files,1): D3 U4 b& j' ^( J, j
title=files(i).name;
9 s* i5 N+ m5 z. _2 @, t delete(title);
' I) G/ k* i, k w% S4 `0 t+ q end
: i1 [( @: t W" i* l& Bend
1 R/ `. V: I) R& y7 e! l1 }! ?0 ^8 p4 g Q o' K/ K
% [# Q4 {2 x# t; u7 n
同样也可以在Matlab的窗口设置中取消保存.asv文件!
. a2 ?" S& h* r8 i5 C |
zan
|