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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6 G/ Q2 t# e% @( Z4 l! e5 c
1. predict_fun.m为主程序;" |. p: G( [/ n" a" N7 w4 J0 F
2. timeseries.m和 serie**pan.m为调用的子程序
& d4 a( d* k' D+ l5 p2 J& {. v4 u6 y t% Q" C! y1 d9 ^
function ima_pre=predict_fun(b,step)
. ]! a* U1 u- j1 \+ }' Q( |- R% main program invokes timeseries.m and serie**pan.m
' N! C2 b' M3 W$ X" w- t5 Y% input parameters:
7 e3 v! U& ]3 s/ m8 c9 m% b-------the training data (vector);) Q& ~: H" F5 C1 n
% step----number of prediction data;
1 @5 L$ E1 S7 n! n+ D8 G% output parameters:1 z, {6 x3 D0 ^' S0 X6 l
% ima_pre---the prediction data(vector);
! M6 L+ G, S7 ], S" Z7 M: \! yold_b=b;
8 i! D8 X) H" e8 L. ~; c) q4 W5 Omean_b=sum(old_b)/length(old_b);
3 t% ^$ i( b7 y% Cstd_b=std(old_b);
6 B; s3 a/ M: |+ z# r# A# y+ i) ^& Wold_b=(old_b-mean_b)/std_b;
! i* K0 J. K, V1 a: `[f,x]=timeseries(old_b);
# K$ x- i4 O8 C$ e2 S. p# U% c% hold_f2=serie**pan(old_b,step);
" J% j: [& e; X- f% f(f<0.0001&f>-0.0001)=f(f<0.0001&f>-0.0001)+eps;/ ^! m* d& ~+ b* K
R=corrcoef(f);
3 q$ [, O }' o- b[eigvector eigroot]=eig(R);
. K: J6 a7 g) T+ meigroot=diag(eigroot);
( s2 h5 H) t' g8 T$ {" |* |. ga=eigroot(end:-1:1);
9 ~8 [! K+ ~% I4 k+ ~4 Q7 U* tvector=eigvector(:,end:-1:1);' H( C5 e: ] P3 B# L
Devote=a./sum(a);. r; S _3 _1 b; g; a
Devotem=cumsum(Devote);9 ]( J1 a+ j6 I( @. g. Q3 T- w/ E) b
m=find(Devotem>=0.995);
* B* U0 R: _, \m=m(1);' }+ C+ I4 u% ~. y& w) q' p
V1=f*eigvector';
0 l3 E6 X1 [0 @1 V1 o5 MV=V1(:,1:m);
% ?2 j/ f0 q, }8 S/ {% P% old_b=old_b;
8 W' e$ g; q" S* gold_fai=inv(V'*V)*V'*old_b;3 d+ Z& n* k0 _& i' T) M
eigvector=eigvector(1:m,1:m);, }3 [5 l1 c5 h" m* C% V
fai=eigvector*old_fai;
; S! f, C, f& A7 [f2=old_f2(:,1:m);
0 f7 _* ~0 `; X) O/ Zpredictvalue=f2*fai;0 k* J0 s5 |+ t
ima_pre=std_b*predictvalue+mean_b;5 R8 o( T/ N: f3 `( [! I- z$ e2 Q
) D5 J2 V6 \( U- |! V( c
1.子函数: timeseries.m
( o' p/ M* ?- s1 u s# Q% timeseries program%+ r* O+ J2 u7 {4 E; ^, f% m0 q3 K2 ^
% this program is used to generate mean value matrix f;
" L7 V$ B- B% R6 ?/ ufunction [f,x]=timeseries(data) : a- i2 w' H" O7 X1 V
% data--------the input sequence (vector);# D; J: u6 M6 r5 ?4 {0 b
% f------mean value matrix f;
$ W9 M3 k! D# @% p( an=length(data);
M! M( h2 i8 T0 ^; ofor L=1:n/2$ U) M& c2 Z& p9 z
nL=floor(n/L);$ X6 B& K7 [/ W( Y5 ]: T: P
for i=1:L
1 U4 d' L6 z! k' f/ L+ L sum=0;
6 f3 I# {+ k& |' { for j=1:nL
. C: V- \( T9 U8 k' d. `7 p( [! C sum=sum+data(i+(j-1)*L);
7 ?5 i8 j3 D- g8 p Z' n. z i end
9 U- c) A* H# V! z4 O: ] x{L,i}=sum/nL;
1 `* |- _0 p: ^2 j& ^* W" l end) e w6 F% K$ [ c0 F
end0 \9 d- Q' c u# C
L=n/2;
; o* A& e7 i" j- {f=zeros(n,L);' R7 |4 ~1 ?8 J- ?6 n' i5 t+ Z" }1 w
for i=1:L
" f2 T- x8 D* t; T+ ~, ~ rep=floor(n/i);
- s: I) H# K7 e' t6 Y/ v" g res=mod(n,i);) K) c, b3 k; p7 N& L4 W" }. Z% c
b=[x{i,1:i}];b=b';. {8 }: v& H# e0 L3 g/ F( U
f(1:rep*i,i)=repmat(b,rep,1);0 f U0 h6 {/ \2 v4 n+ w
if res~=02 ^ T+ N, O" g3 g
c=rep*i+1:n;! P' p- i' G% m$ |5 k
f(rep*i+1:end,i)=b(1:length(c));
`7 y8 }2 d' e6 O9 F' |; } end
* O" Y2 _% y0 q7 l5 Z( g* j! qend6 ]8 w5 [4 J2 a2 m, A
+ s- s- B/ _5 G1 e- |; T
% serie**pan.m* o. l. b" ]1 z7 a9 a2 I$ A, P5 T
% the program is used to generate the prediction matrix f; 0 k, m% e" {" y0 Q7 G
function f=serie**pan(data,step);. H# A* k% o9 m& F- d. @: w! [
%data---- the input sequence (vector)
/ F& T$ T8 d$ j2 {) F% setp---- the prediction number;
) Y J( v6 ^# Fn=length(data);
7 }7 T' e7 U( v! L0 p/ W8 d2 t4 Dfor L=1:n/2# j9 d) J% Z, j0 { r6 I
nL=floor(n/L);( r* R$ q- D! k/ D% N
for i=1:L
9 e0 K3 b% R/ O" u7 _0 Y sum=0;
' b4 b/ s% |% F, N2 ]4 ^) W8 \3 h for j=1:nL X+ H6 B. l' y7 X) w
sum=sum+data(i+(j-1)*L);
* c8 E) Z" X W$ X end
$ e5 ?/ u% l$ V5 O v x{L,i}=sum/nL;7 H7 _' e& A' x' N* l
end
0 g4 A( n' B( B' R8 A# q/ Nend
, @8 M7 ~3 k' ~8 B7 V E5 R9 \, `0 uL=n/2;4 P w+ `) f; b6 \8 O2 w4 @
f=zeros(n+step,L);8 H2 ~6 P4 o0 H H* \8 f
for i=1:L
# T" Y# k+ `$ G2 L8 k4 Q rep=floor((n+step)/i);
3 K, I& h2 H0 ^, C2 l res=mod(n+step,i);
+ H( D. Z" U& m) l) O8 d; e b=[x{i,1:i}];b=b';
# p. E$ B1 @3 A, P" ^! n f(1:rep*i,i)=repmat(b,rep,1);
; X2 g3 o7 _7 B0 B if res~=0
. Q X! w! z. y0 b5 y c=rep*i+1:n+step;
g4 @4 n' V2 C) ~4 w f(rep*i+1:end,i)=b(1:length(c));
7 z! t2 ^8 \, g2 F+ n( R( ^ end
$ J+ o1 |6 f! A: j$ @% fend& y$ N! ]+ I8 G8 Z/ z6 A5 o; X
& W: Z5 h' _0 x1 h- [1 U
二 最短路Dijkstra算法3 a3 ^; A+ x1 e, R+ X
% dijkstra algorithm code program%- Q6 L- l! C7 f4 A! I( Q% M
% the shortest path length algorithm
$ Z; V4 K5 W) Y; }9 wfunction [path,short_distance]=ShortPath_Dijkstra(Input_weight,start,endpoint)
; |- g- E* }. {3 A3 C" \% Input parameters:2 {; e+ B! ?' s1 n
% Input_weight-------the input node weight!
1 Z4 X2 ~5 }; B: U4 x% start--------the start node number;
+ R% ^, l. Q; g4 U# Q4 G" m% endpoint------the end node number;+ `) w/ \9 o8 d# T! T; t
% Output parameters:/ t, f! K1 q. L! h4 a* N4 J1 n. V
% path-----the shortest lenght path from the start node to end node;' b" K8 ^4 j6 F/ B; r1 t; k
% short_distance------the distance of the shortest lenght path from the
- g/ ]# |$ Z* V% start node to end node.
0 c$ P, U5 f8 ^; h. T) G[row,col]=size(Input_weight);: j( G- E- X! k, X" X! X( h& _
. f" N; n2 u* C, d" f' L%input detection
8 c. ~* i2 w7 i8 v# R9 J) f: n1 Vif row~=col
, x8 y0 t% Q* x- b, l; [ error('input matrix is not a square matrix,input error ' );
Z4 W9 `6 s$ s R3 m2 M2 wend
: M8 ~* [, |. U0 R D9 \if endpoint>row
( G4 {( W9 j1 m* Y! J error('input parameter endpoint exceed the maximal point number');" S$ K! P6 P' s4 z6 x2 x- O
end* n4 q: H' X! d6 @9 h% E
* L5 M3 R: P3 u2 \4 e% W. J) l5 v
%initialization
7 t# n/ G1 x5 u- W8 q, s- [ ws_path=[start];
' N$ x$ R) w) }6 t# q2 x5 udistance=inf*ones(1,row);distance(start)=0;5 d# c8 E$ |$ y/ |
flag(start)=start;temp=start;
; K! q7 v9 i0 q! N8 ^8 i) V9 S9 f( m7 [
while length(s_path)<row
% x( U+ ~# i6 q) l t' ^ pos=find(Input_weight(temp, : )~=inf);- P' M L6 b; y2 G
for i=1:length(pos)5 d( }* X8 T0 p1 e. }( T
if (length(find(s_path==pos(i)))==0)&
# A, T! w' S5 ?, c3 z. Z(distance(pos(i))>(distance(temp)+Input_weight(temp,pos(i))))3 P: _: I1 \$ [: y+ M: Z
distance(pos(i))=distance(temp)+Input_weight(temp,pos(i));- \, M% p( C8 U+ p/ Q
flag(pos(i))=temp;; L6 l* G- S2 ~* r* H% C6 D& N
end
f! z9 g8 C7 y4 R1 s; O8 a end G" D( [- j) G
k=inf;4 O8 p9 u( D' Z( k2 H
for i=1:row
7 x5 X! n5 _1 w9 a if (length(find(s_path==i))==0)&(k>distance(i))8 K7 c& t) y9 h7 h' }5 e4 G4 v8 g
k=distance(i);5 o* b+ `1 ?2 \6 s$ t0 H
temp_2=i;$ ?' q# @" d7 B5 m" i- ~, i8 }
end
) W' ~7 p+ f- S" b# | I end
! G! c6 _' r. n0 x3 E0 T s_path=[s_path,temp_2];
4 u l9 }9 N; d/ ]2 H/ T temp=temp_2;
5 Q# q% `8 k5 Qend8 r5 l& d$ m/ n
8 F' R# [5 E# F1 u% ~%output the result- J. Q7 o ]4 Y9 r
path(1)=endpoint;1 D* t1 \! O I7 y8 ~
i=1;, |; j. c3 n6 }
while path(i)~=start D l- d* S& k+ B( W' b
path(i+1)=flag(path(i));
9 v! E7 B8 r/ ? ~6 C+ C i=i+1;
. M/ u' }2 c! K' R4 Q5 Kend9 e5 j/ D/ |# J! t1 h0 g% ^
path(i)=start;% [; a8 F8 D" A2 |" b* u+ b
path=path(end:-1:1);
k2 {1 ]% I5 `: b# \short_distance=distance(endpoint);
1 m4 o% \2 r }3 ~三 绘制差分方程的映射分叉图
7 b2 q+ Z r1 O" I$ p( L7 i( D: c- n2 y+ o& E. G; N
function fork1(a);
) U6 A$ P* d" W. ?* H' e
4 ` b; ^+ G+ f; _: K' x% 绘制x_(n+1)=1-a*x^2_n映射的分叉图
% | T4 M% n$ I% Example: ) M! ~8 C H4 W# V
% fork1([0,2]);
% c$ {. q8 \: n# zN=300; % 取样点数 6 v G- _) ?9 b, m
A=linspace(a(1),a(2),N); 1 G+ n w" M: P+ Z
starx=0.9; 6 r5 Q& l. t! b6 Z
Z=[];
. U4 e; x) Y/ ^( U6 T3 Dh=waitbar(0,'please wait');m=1;8 b' H7 a7 P# ^' W' G1 L2 D) O: u& T
for ap=A;
5 v! T! v* X" f1 x9 m x=starx;
$ X4 O+ ^4 q& K' e6 H. ^; |! _ for k=1:50; & p: C# ~* i: w8 d; Q. a3 ]' n) P+ B
x=1-ap*x^2;
, `) R5 N6 G" n9 e2 x8 u end
* g7 r. l: K, l for k=1:201;
. p! _9 [! E( w5 J( L x=1-ap*x^2; 5 ?, q. P8 t0 G1 z' X/ j
Z=[Z,ap-x*i]; 9 O/ T7 f, M/ U0 [/ V) d
end
9 o4 A( c/ E4 F) p waitbar(m/N,h,['completed ',num2str(round(100*m/N)),'%'],h);
" N1 a( E* j+ P+ J9 ?6 ^ m=m+1;
U( @2 U! j; H' _4 vend * R/ Y0 P4 F5 }8 k4 W
delete(h);5 j- Y# k: e1 Y1 |! o3 s' N; O5 V
plot(Z,'.','markersize',2)
+ l4 {5 b0 n0 ]: Z4 g9 oxlim(a);
6 l7 G0 H/ d. O+ b: z3 `. e+ ? d" e0 ~- j0 E+ Y
四 最短路算法------floyd算法- `% G2 K, t, G0 b; k3 N2 d
function ShortPath_floyd(w,start,terminal) 8 B. E+ e, b/ V& |- |
%w----adjoin matrix, w=[0 50 inf inf inf;inf 0 inf inf 80;1 N4 z2 x$ L7 D
%inf 30 0 20 inf;inf inf inf 0 70;65 inf 100 inf 0];
" ?9 M& ^6 m4 b3 z1 {%start-----the start node;
+ F6 k) a; x3 {; W) Q# [2 j%terminal--------the end node;
/ Z3 C7 H7 K# {) \7 In=size(w,1);
" S9 U# G1 M- n( o0 A4 k[D,path]=floyd1(w);%调用floyd算法程序, L3 @. u9 g J( I
- @5 \; r* H3 B9 V8 B
%找出任意两点之间的最短路径,并输出
! q/ w) w% O& o. J0 X9 m- B7 Kfor i=1:n2 _; \, ~ P" q' B. p; o6 b0 b
for j=1:n$ o+ P- }" K3 X) |7 U
Min_path(i,j).distance=D(i,j);+ S9 I5 `* B! e z; n; X
%将i到j的最短路程赋值 Min_path(i,j).distance b' J0 C/ H, ^) z" h% c" l- S
%将i到j所经路径赋给Min_path(i,j).path
! v! o' U1 }; i" B+ ? Min_path(i,j).path(1)=i;! H8 W$ e5 A! g4 Q5 R/ Z8 J
k=1;
, {# c5 m, P5 Z h2 r while Min_path(i,j).path(k)~=j5 y) o8 W. D- _. i+ \
k=k+1;9 l) L) m ?4 {! Q' s- C
Min_path(i,j).path(k)=path(Min_path(i,j).path(k-1),j);
$ l6 L3 K. H$ V* ]& q, a end
W" I) x' M& D7 I! U end1 H9 U- N3 p+ q# ]6 C
end/ E, N! n, W$ w) Y. Q
s=sprintf('任意两点之间的最短路径如下:');
4 {. `+ t" o: ^4 N$ H% t9 ^ ^4 M- sdisp(s);5 V6 e9 ~ K7 G6 O. |
for i=1:n
2 U" v+ \8 P4 P2 G8 ` for j=1:n
9 O5 F& X' b$ K s=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:'...0 v- n, q1 P- ~+ x
,i,j,Min_path(i,j).distance);
, D/ N! ~3 ~# i) ~6 p( g disp(s);
* O$ y; D7 e9 m4 b5 a disp(Min_path(i,j).path);& I4 @- |3 g# O) V2 s
end
" B4 m' i7 {' P% M+ [end A% q% @7 G j* S6 \$ i/ O
W+ P) s' D) A: I/ j1 h%找出在指定从start点到terminal点的最短路径,并输出4 F0 [- n1 Z! F6 o
str1=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:',...- |& e- c/ P3 u) H; p( }7 A
start,terminal,Min_path(start,terminal).distance);
" W& l/ {; ^2 B" f9 }4 udisp(str1);
; h: G; t* A2 L8 b( M3 sdisp(Min_path(start,terminal).path);
# C& i$ ?. Q1 q8 B1 [! B: {3 K4 J- {9 ~2 q. @6 z9 U* q; y
%Foldy's Algorithm 算法程序
/ s& O; j0 [! {4 H6 a& J2 }* Ifunction [D,path]=floyd1(a)+ B: M/ g# `% T5 K7 h
n=size(a,1);
0 J; T6 p9 b; k) a0 f5 DD=a;path=zeros(n,n);%设置D和path的初值
0 j5 |+ N' p8 W( gfor i=1:n( A5 w& X& E3 ?( Y* {5 B2 |
for j=1:n
# ?; u: ? k5 S& V1 J1 u( j( _ if D(i,j)~=inf# E3 ^. f4 S+ R2 m5 j
path(i,j)=j;%j是i的后点
3 R ]0 |9 d( Q end
1 S4 J3 {3 I+ F( L' P5 M, O end6 V% j" S/ L+ m4 q) Y# l
end
" j( a* V( ~! o- q( D: s%做n次迭代,每次迭代都更新D(i,j)和path(i,j)
! b% {* a# p$ b1 ]3 g: i e) K8 xfor k=1:n
' P5 S& `2 @0 m) A for i=1:n
% b F* E# t5 R4 B* e( W5 j0 S" j for j=1:n5 |3 p! U7 N+ T% H1 n
if D(i,k)+D(k,j)<D(i,j)
, q# s! y" j1 M) Q D(i,j)=D(i,k)+D(k,j);%修改长度
) K' G# f- V) q+ G4 t: ^ ~ path(i,j)=path(i,k);%修改路径
4 E2 K! n% z* h1 B: J( Y end3 k2 N: m0 o1 L5 O5 \
end
- _" M" `* J- g; Y* H+ g* ` end
3 r* G0 B( L" a# ] Rend6 R+ @; D, e& D, y; z6 G
$ W& ^3 \) U' C: {
五 模拟退火算法源程序: o/ V) i1 p5 f% a3 Z
function [MinD,BestPath]=MainAneal(CityPosition,pn)
( G7 k& X& |$ k- ]function [MinD,BestPath]=MainAneal2(CityPosition,pn)0 _4 i; U/ b) S2 }0 p
%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0 w9 j4 ]5 c+ r' ~( j5 R" {
%CityPosition_31=[1304 2312;3639 1315;4177 2244;3712 1399;3488 1535;3326 1556;...
0 c% E9 N! V" u8 A: S5 v8 d% 3238 1229;4196 1044;4312 790;4386 570;3007 1970;2562 1756;...
9 f$ F: s8 W3 D* m% 2788 1491;2381 1676;1332 695;3715 1678;3918 2179;4061 2370;...
9 @; a- I. ?: `, j$ S) U% 3780 2212;3676 2578;4029 2838;4263 2931;3429 1908;3507 2376;...
( @7 ]) J; `, v, H& z( b q5 a% 3394 2643;3439 3201;2935 3240;3140 3550;2545 2357;2778 2826;2370 2975];3 d& C# |0 L" G, N$ q, P
2 F& W6 |# Y* C. y9 k
%T0=clock
3 j. s% B% c7 o4 v6 C) ~global path p2 D;% F$ [4 S4 ]/ w7 x' U; r0 i2 W7 e
[m,n]=size(CityPosition);" d$ h/ E ~# e) l8 _9 J
%生成初始解空间,这样可以比逐步分配空间运行快一些 X2 }1 X: C: q0 m( S# |8 m
TracePath=zeros(1e3,m);) g1 t7 ^6 {- Y% S: L4 ]
Distance=inf*zeros(1,1e3);8 s! V% ] v0 w8 p- D$ t" V g7 j3 o7 M
' L" m O2 e+ F$ q8 a
D = sqrt((CityPosition( :, ones(1,m)) - CityPosition( :, ones(1,m))').^2 +...
2 v2 x0 K7 m% z0 R, N2 K9 \ (CityPosition( : ,2*ones(1,m)) - CityPosition( :,2*ones(1,m))').^2 );4 H9 u9 N3 I4 n! ~. m$ |
%将城市的坐标矩阵转换为邻接矩阵(城市间距离矩阵)
2 t" x+ `- i" L* p" V$ Xfor i=1:pn
5 \1 M. ~( H4 q& R& ~# v" ]2 l) g: i path(i,:)=randperm(m);%构造一个初始可行解
1 C, l6 P. P0 f6 U! O! X: tend/ Z# \% u( w" m3 j
t=zeros(1,pn);
8 R/ T4 I2 x _+ ~6 V/ mp2=zeros(1,m);
3 y$ H3 w( [2 u/ X
8 w g* [4 I$ {+ Titer_max=100;%input('请输入固定温度下最大迭代次数iter_max=' );
6 o$ l. P- O$ k% I6 [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; A* j* A6 O7 |9 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7 M6 W7 |& a( N& H4 }- C3 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
4 \. K' [ C2 b8 _$ q; i# Y%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 ]7 _0 q7 g& i5 p: e' G
%会收到到比较好的效果
8 [" |/ z: J7 p. a8 h3 ?, g* s9 c! N8 A/ d' p! l# i0 R
T=1e5;
* H; v" i* k" e1 B6 X9 ]9 ]N=1;+ o$ f; s# m' q; a) @8 u0 ~
tau=1e-5;%input('请输入最低温度tau=' );
) K. S) _6 k( L. a, W, D& z%nn=ceil(log10(tau/T)/log10(0.9));9 B/ t2 s' |" w9 d; H- I
while T>=tau%&m_num<m_max
9 H" x9 K4 i' V* s iter_num=1;%某固定温度下迭代计数器! n/ d' Z6 O0 X& \% X
m_num=1;%某固定温度下目标函数值连续未改进次数计算器
d+ l% A, n2 t0 D2 r %iter_max=100;
~4 |) V; b; u* X7 E9 K ^8 I %m_max=10;%ceil(10+0.5*nn-0.3*N);
8 w' `+ s! a- A" X2 w while m_num<m_max&iter_num<iter_max; N/ U" l$ O( \& z1 L0 E2 j5 S
%MRRTT(Metropolis, Rosenbluth, Rosenbluth, Teller, Teller)过程:
; {; L0 N- d1 L: N* k) r y) e %用任意启发式算法在path的领域N(path)中找出新的更优解
& C% {' p+ {5 A1 E% m1 y5 v# ? for i=1:pn9 x( J- D- ?; d
Len1(i)=sum([D(path(i,1:m-1)+m*(path(i,2:m)-1)) D(path(i,m)+m*(path(i,1)-1))]);* `# ~0 M& ]( F, L
%计算一次行遍所有城市的总路程 ! q U! e5 P+ O1 Y, P( U2 ^ ~
[path2(i,: )]=ChangePath2(path(i,: ),m);%更新路线/ C) N7 P, U2 L- C$ i s" {' 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))]);
. o! `# y9 z. U& _9 Y3 L end- M! ^1 |& Y8 X- j' Z
%Len1& y& p) Z! ^: E- [
%Len2) i. Y; a. F b# H1 h9 ?
%if Len2-Len1<0|exp((Len1-Len2)/(T))>rand( [3 q3 a7 x5 }/ ~5 e- f
R=rand(1,pn);
/ O% Y. ` ^% s %Len2-Len1<t|exp((Len1-Len2)/(T))>R" Y/ C' _# L5 n) l$ u
if find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0)5 l6 ]7 n6 f F c$ @* @6 n7 w
path(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : )=path2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : );( x( P6 K. @( z* W7 ]/ E
Len1(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0))=Len2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0));
) f8 ]/ D, m! Q! F. @1 j [TempMinD,TempIndex]=min(Len1);- T, Q6 P% y a4 U, @8 |
%TempMinD; ]8 q' n5 J) B% p: W
TracePath(N,: )=path(TempIndex,: );
6 n; w% v6 C4 }- `) w$ y2 w q Distance(N,: )=TempMinD;. {! A* h+ b( j1 b1 w' z
N=N+1;
# S; z; s, G) c& E %T=T*0.9- r* D) l! L" |% R
m_num=0;+ c q* q, {5 X: J: d' z+ ]7 D
else+ z$ Q) ?9 K- c" E8 M
m_num=m_num+1;2 r2 p" ~2 q+ {8 Q5 v8 I9 m
end/ S$ p3 L! e9 v5 n' Y' ?
iter_num=iter_num+1;
- V1 ?+ r' H* ]) V end$ ~% G- O& i. w: ^6 B
T=T*0.9 A }1 @$ b$ `2 S( h/ e
%m_num,iter_num,N
- R: T% s# P2 v# aend 9 v' k- M- v8 \5 W' p
[MinD,Index]=min(Distance);
/ L3 E- ?% {7 S b: ?, TBestPath=TracePath(Index,: );
. t# w A" t9 S; fdisp(MinD)
) T& F0 p: n7 C( N%T1=clock
/ m: E u( q g ( |6 Q* `; w% J" y( o# O" L0 [" a
\ ^' l2 Z' r. q, ]2 r
%更新路线子程序 " _% v2 i3 e$ Y/ R8 d
function [p2]=ChangePath2(p1,CityNum)
% X* ^; ^5 ?4 q/ `) D! j% Hglobal p2;! |( _* q1 v0 T8 \
while(1)
) _ l4 q$ S! G2 k7 z" L3 r R=unidrnd(CityNum,1,2);8 q H$ [" O; i" m
if abs(R(1)-R(2))>14 z' n7 E1 I1 _. i
break;
6 P6 A# _* i- S: c4 G- K6 G, E end9 m5 |, h7 z& E1 R) @/ V3 b- P
end3 k$ l% H1 ^2 k( |
R=unidrnd(CityNum,1,2);
" u, M1 g: Y& |+ f4 HI=R(1);J=R(2);
" W: k; r( V, u0 E%len1=D(p(I),p(J))+D(p(I+1),p(J+1));
. L3 X! l# v( q% K% s* _%len2=D(p(I),p(I+1))+D(p(J),p(J+1));
6 X; Z+ D9 G% Qif I<J
6 l4 C8 k7 l. A2 r- G p2(1:I)=p1(1:I);* K. r5 r- ?% X, p# W
p2(I+1:J)=p1(J:-1:I+1);
# q( |$ E' y0 \# o/ D- X; E& N p2(J+1:CityNum)=p1(J+1:CityNum);
?+ y5 |7 m$ u4 p, Q" A Yelse
$ x [8 `8 @ M9 v/ |3 m p2(1:J)=p1(1:J);
9 ^4 t; z. T2 D p2(J+1:I)=p1(I:-1:J+1);- X1 e+ u" j1 U! D N6 G' A: W
p2(I+1:CityNum)=p1(I+1:CityNum);
5 Z- P8 }* c" V& T! hend
3 W8 @; \) O/ q1 l6 q, p/ \ x* v' X1 ~- B
六 遗传 算 法程序:
5 l. {; D! L, J 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!0 i, Q1 a6 K, r4 D: x( z1 x
* \' H! h5 j8 q: m( o e
function [BestPop,Trace]=fga(FUN,LB,UB,eranum,popsize,pCross,pMutation,pInversion,options)& q9 q, ?! }; T3 I S4 ^
% [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation) 5 g7 t- b: A3 j7 J$ @# F
% Finds a maximum of a function of several variables." `. k) C! N s8 L H
% fmaxga solves problems of the form:
# T f6 O, V3 M% max F(X) subject to: LB <= X <= UB & x. d/ K2 @* o8 Q/ w9 t& c) k! H
% BestPop - 最优的群体即为最优的染色体群 |7 _9 N/ K0 m1 s/ q' g& f1 @1 ?7 A
% Trace - 最佳染色体所对应的目标函数值
1 k2 n/ b( P$ ^# X% FUN - 目标函数
4 ^' c B9 q- C, R8 m/ a% LB - 自变量下限
0 F# F4 n6 l: S9 H L9 d/ @* G% UB - 自变量上限 a9 P; H, P$ e, t K6 Y
% eranum - 种群的代数,取100--1000(默认200)1 [2 `4 Q+ |& h& A
% popsize - 每一代种群的规模;此可取50--200(默认100)
/ U' ]. ?4 q) U8 p% pcross - 交叉概率,一般取0.5--0.85之间较好(默认0.8)0 N7 _; G6 [5 N4 n5 Q! z& F% z
% pmutation - 初始变异概率,一般取0.05-0.2之间较好(默认0.1)
1 M1 r0 A: w8 Q: P% pInversion - 倒位概率,一般取0.05-0.3之间较好(默认0.2)
# N+ s& W [: b& A% options - 1*2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编
$ u! ^1 y. v5 `%码,option(2)设定求解精度(默认1e-4)& B) f4 a% K5 l
%
% Q, F! C# j" Q& o: Q9 i1 k% ------------------------------------------------------------------------
5 p* i( G0 D: v' v* V5 k% [' ~7 F; L2 H9 c1 r
T1=clock;
- G4 p" r; {; ? n4 [. ` X4 [$ Rif nargin<3, error('FMAXGA requires at least three input arguments'); end U G. a, F% J _9 Z
if nargin==3, eranum=200;popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end/ X# O! ^$ ]7 E
if nargin==4, popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end/ V; h* M$ L5 Z0 ]7 o A
if nargin==5, pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end; D# D0 V) B/ u$ G& _# f3 `
if nargin==6, pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
& H5 V; a: v6 X0 @5 Dif nargin==7, pInversion=0.15;options=[0 1e-4];end0 t8 G% Y2 F- S
if find((LB-UB)>0)% G- }! t. y* Z
error('数据输入错误,请重新输入(LB<UB):');
4 e" }. w4 n( Z ^+ G4 l9 Wend8 n0 A) @( S# A, |
s=sprintf('程序运行需要约%.4f 秒钟时间,请稍等......',(eranum*popsize/1000));
) W4 \. U+ y% i9 idisp(s);
+ |" |+ d/ ]. C9 u
% d& R8 V8 R; jglobal m n NewPop children1 children2 VarNum" ^$ J( u' z2 w& J) Y, I
9 S1 T& t* p# x1 V6 T% z$ Bbounds=[LB;UB]';bits=[];VarNum=size(bounds,1);
, |, j, i5 `6 Yprecision=options(2);%由求解精度确定二进制编码长度* E/ t5 E' {" M4 K8 j$ e- T( Q
bits=ceil(log2((bounds(:,2)-bounds(:,1))' ./ precision));%由设定精度划分区间5 u, Z' B6 ~4 M& J
[Pop]=InitPopGray(popsize,bits);%初始化种群' x4 S$ ?( j" q+ j
[m,n]=size(Pop);* y" ?3 m$ j3 U9 b) F; r7 X1 L
NewPop=zeros(m,n);
% o+ c* M: J) W9 }: Ichildren1=zeros(1,n);+ Z& P" c1 J2 L% y0 |
children2=zeros(1,n);
. L$ F1 R. L& r9 } Vpm0=pMutation;
9 D; m: t, ?- D8 m3 P& K: FBestPop=zeros(eranum,n);%分配初始解空间BestPop,Trace
C. c$ c W: }/ G0 E7 n) O+ JTrace=zeros(eranum,length(bits)+1);' i: ?8 @0 j7 I0 K
i=1;
9 L( r$ @) t* A# l4 A" B" Pwhile i<=eranum
8 S1 o: ` B3 t! x$ H5 P for j=1:m- x# n0 L. R, U8 ]6 w4 d/ z9 l
value(j)=feval(FUN(1,:),(b2f(Pop(j,:),bounds,bits)));%计算适应度* }7 B8 g0 {. J5 l" t! t) U$ @2 i
end7 }, ^5 k3 M; c! t$ N: }
[MaxValue,Index]=max(value);
+ K; {0 c* y# G7 @) h8 H" D$ o0 n- A& ? BestPop(i,:)=Pop(Index,:);
7 o: i! c7 K4 n* }- Q Trace(i,1)=MaxValue;
- S! O9 X6 Z% U6 s Trace(i,(2:length(bits)+1))=b2f(BestPop(i,:),bounds,bits);
5 x6 h0 z$ Z. g [selectpop]=NonlinearRankSelect(FUN,Pop,bounds,bits);%非线性排名选择
) G* @/ ?1 I5 ?2 y+ e3 C. K4 |/ Q[CrossOverPop]=CrossOver(selectpop,pCross,round(unidrnd(eranum-i)/eranum));" U7 v& h& s9 s: O) Q B1 H9 F
%采用多点交叉和均匀交叉,且逐步增大均匀交叉的概率- s$ g( S0 q3 z: K+ c5 O
%round(unidrnd(eranum-i)/eranum)5 G; t, R" x. t. L) u% @
[MutationPop]=Mutation(CrossOverPop,pMutation,VarNum);%变异 ?& H5 l' t5 a* s" E) \' a
[InversionPop]=Inversion(MutationPop,pInversion);%倒位5 \8 Z0 Y& t7 g4 i0 D; N
Pop=InversionPop;%更新3 O8 m1 U$ i# |3 k: v, |
pMutation=pm0+(i^4)*(pCross/3-pm0)/(eranum^4);
8 q1 I- s, c1 r$ e& q9 k1 R%随着种群向前进化,逐步增大变异率至1/2交叉率% o2 q* U. k0 }9 j! U/ p6 W, x
p(i)=pMutation;
( G& \9 b" b0 L5 F& C i=i+1;7 K. U7 f9 M: C- ~' ]
end
* H" Q* e3 N! m& T" N0 yt=1:eranum;
& _+ Y4 M$ q+ A+ I( \& b% ~; yplot(t,Trace(:,1)');+ L% n: T% e: h- e
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)');
/ J5 q9 p9 e5 c, ?- S- b# l[MaxFval,I]=max(Trace(:,1));
- N8 E: `0 U( u, iX=Trace(I,(2:length(bits)+1));
1 _2 u( y0 H% G9 nhold on; plot(I,MaxFval,'*');
9 L( ~) J0 m3 P: n7 {( {text(I+5,MaxFval,['FMAX=' num2str(MaxFval)]);% x9 `! r6 ~6 j2 I' T
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,:)));
4 C+ _- o. i+ M) z* X8 Hdisp(str1);2 V4 d7 K a5 H
%figure(2);plot(t,p);%绘制变异值增大过程: h6 \. v! D v* ~1 y
T2=clock;
% X" D7 w4 V. J; A2 Eelapsed_time=T2-T1;' c2 h" H6 n4 R
if elapsed_time(6)<00 v" M" E0 m# g. ^6 Z
elapsed_time(6)=elapsed_time(6)+60; elapsed_time(5)=elapsed_time(5)-1;3 R* B2 _5 m) B: o
end# ^/ _% }- a/ v, H3 f' i
if elapsed_time(5)<0: A y2 y* ~( { ?
elapsed_time(5)=elapsed_time(5)+60;elapsed_time(4)=elapsed_time(4)-1;
3 n! ^, t0 ^+ jend %像这种程序当然不考虑运行上小时啦# M' t3 ?7 {; ^" S, M+ B6 Y& z; L
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));9 `7 @0 _' i4 E' }1 l+ p$ A( [, s
disp(str2);" y& w. c1 [# b$ {7 g, C7 q" a \
. {8 s/ z' T" |- w& X) D* `
! V) F& W- J' Y%初始化种群
1 E. T$ Z' o+ `1 [ L( v- e%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
' f5 e0 e8 m7 p% Afunction [initpop]=InitPopGray(popsize,bits)
2 z5 ?4 Q8 s: ^" x# J; Ulen=sum(bits);+ b s- K7 L' @1 o4 A0 E
initpop=zeros(popsize,len);%The whole zero encoding individual8 g5 l' m% \- c2 Y @; Y
for i=2:popsize-16 B: T; L v ~) j5 h
pop=round(rand(1,len));
v; g F2 s& j2 K6 w- g9 g1 t pop=mod(([0 pop]+[pop 0]),2);
" f' ~1 u& M( `- j+ @+ o %i=1时,b(1)=a(1);i>1时,b(i)=mod(a(i-1)+a(i),2)( H0 a- a: L; f7 T
%其中原二进制串:a(1)a(2)...a(n),Gray串:b(1)b(2)...b(n)$ t4 S# s) s3 _
initpop(i,:)=pop(1:end-1);
, X0 { k- f- O* U& s4 dend$ r! g5 N" z. m- Z3 k* J4 k
initpop(popsize,:)=ones(1,len);%The whole one encoding individual1 z# V+ b% k2 e! A' X
%解码* T( J4 S* F6 j. R9 C( r9 X
& @* j! c d$ ~. V" L
function [fval] = b2f(bval,bounds,bits)
8 J% t, K- c* R* I) N7 v% N0 h+ Y% fval - 表征各变量的十进制数- s0 x4 E6 p. b. Q6 s
% bval - 表征各变量的二进制编码串( z& _3 G9 q1 {4 t( ?
% bounds - 各变量的取值范围
& y0 F. w' {9 `; p2 s% bits - 各变量的二进制编码长度
5 w. F4 j8 p, e: _- }3 }3 k3 uscale=(bounds(:,2)-bounds(:,1))'./(2.^bits-1); %The range of the variables- Z" n: R$ b- m X6 s" Z
numV=size(bounds,1);1 [5 _" o9 `! I) ?# ?
cs=[0 cumsum(bits)];
- B: J3 t$ i+ J1 M8 Nfor i=1:numV3 I( g3 N5 K, z1 t4 {6 ~
a=bval((cs(i)+1):cs(i+1));
# q' X' w G4 z# O1 s, w1 L fval(i)=sum(2.^(size(a,2)-1:-1:0).*a)*scale(i)+bounds(i,1);' L$ c# M7 U) }6 a/ k6 i
end
4 p/ U( t. ~ E% H- \%选择操作/ O9 U. C. h7 d; v6 r. L
%采用基于轮盘赌法的非线性排名选择0 u( M1 B7 u2 c. E3 ]( e; L' ^. j" _
%各个体成员按适应值从大到小分配选择概率:
5 D0 B" f1 a' \0 S$ f9 @' a" N%P(i)=(q/1-(1-q)^n)*(1-q)^i, 其中 P(0)>P(1)>...>P(n), sum(P(i))=1
4 i- w; I2 M! l0 C0 C9 J7 f+ y" i6 j9 |$ g3 h& j7 S
function [selectpop]=NonlinearRankSelect(FUN,pop,bounds,bits)" f( \" _; y3 [, }- O2 q( {4 ^% M
global m n$ T; h, g7 ]) X0 y
selectpop=zeros(m,n);9 f- ~* p! W( w9 {; Y8 B2 t
fit=zeros(m,1);8 G# m$ i; E9 ^, E
for i=1:m
, y& k" ]$ K! V3 \* y fit(i)=feval(FUN(1,:),(b2f(pop(i,:),bounds,bits)));%以函数值为适应值做排名依据2 D* s9 R) H# s3 y2 f/ J' |
end
8 }: J+ L" R- c, Dselectprob=fit/sum(fit);%计算各个体相对适应度(0,1)
' w! r) i. f8 a, ?# a$ M7 ~ |( eq=max(selectprob);%选择最优的概率' y* U3 O2 A9 J, |+ O
x=zeros(m,2);8 y y' {- u. h; ^" \
x(:,1)=[m:-1:1]';
% K" M6 x4 H! R8 V, l- y% ][y x(:,2)]=sort(selectprob);+ L/ T! m0 c' U* }, D2 P/ J7 q: I
r=q/(1-(1-q)^m);%标准分布基值/ W* t$ |3 g7 |& _' K/ G- y
newfit(x(:,2))=r*(1-q).^(x(:,1)-1);%生成选择概率
+ D4 }3 w6 f4 Jnewfit=cumsum(newfit);%计算各选择概率之和7 ^& u) V' s3 K/ u( R6 _% F
rNums=sort(rand(m,1));
' ?! s$ ?1 J$ y6 ~* H( ofitIn=1;newIn=1;; o7 v) l0 n! V* H' C5 R
while newIn<=m
6 W1 W7 L5 }6 |( G; c3 i" \3 P3 {4 u if rNums(newIn)<newfit(fitIn)
" p& m3 g2 m- s8 O selectpop(newIn,:)=pop(fitIn,:);
& l! z3 {1 V1 ? newIn=newIn+1;
# n8 ?/ A5 E0 ~; j& A else' S: G" ` m# E9 U0 {
fitIn=fitIn+1;& k0 K5 J2 M* P% g. G% f1 e# E
end t, I! Y* V' v1 Y
end
0 P- x( I# `4 v* ?0 H%交叉操作4 p V9 h6 `4 s
function [NewPop]=CrossOver(OldPop,pCross,opts)% r9 }* }# v: L8 N1 D F
%OldPop为父代种群,pcross为交叉概率4 Z% S, C( X. b% \3 I& d* J
global m n NewPop
1 C. I7 h+ Z* {1 o4 ~, o/ hr=rand(1,m);
& x/ L" |5 T7 L' X, e; h! xy1=find(r<pCross);& f$ I% J0 T& }5 |+ |
y2=find(r>=pCross);
$ z2 p3 D ?# f6 _8 blen=length(y1);/ D# P0 I4 D9 i
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( V5 ] Q) \0 J1 i+ ?. R& v
y2(length(y2)+1)=y1(len);+ T' y! G O9 k: I1 w" w2 d# y: S B( u
y1(len)=[];
1 j+ u& e- g7 ^" X5 a3 i! Bend9 u w$ H# m5 a6 D5 U( Q ?
if length(y1)>=2
5 f# M' Q, \; i n0 ] for i=0:2:length(y1)-27 x% _3 y1 W4 Q- S) u L3 u
if opts==0& E3 Y4 r. f. b) I- {! {* A
[NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=EqualCrossOver(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
+ ?& a: N4 G- l3 U5 Q9 [ else
: ?* O6 G" |, B/ }" t0 T [NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=MultiPointCross(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
! m& d q @, } I! x end4 q. r b3 A3 o( c& \* ]
end 6 T' b+ R! j g: Q5 P
end
) r2 G8 C- M' E7 ]4 iNewPop(y2,:)=OldPop(y2,:);; E2 O% C N7 ~- B
# l& m8 N) I3 Y
%采用均匀交叉
9 T# k2 q a. Yfunction [children1,children2]=EqualCrossOver(parent1,parent2)) A( w7 W; k# P) U/ D- a9 [+ y4 r
6 S* [7 v$ F2 ~global n children1 children2
9 Z2 j% c, P$ K& Ghidecode=round(rand(1,n));%随机生成掩码& T8 M6 P8 {* a4 j7 [5 U
crossposition=find(hidecode==1);
+ }8 T+ y2 S3 s5 r3 E* Aholdposition=find(hidecode==0);
' W# `" }6 [; f0 h k1 U6 |children1(crossposition)=parent1(crossposition);%掩码为1,父1为子1提供基因1 S( R: ^% d$ s K9 B
children1(holdposition)=parent2(holdposition);%掩码为0,父2为子1提供基因0 k. }, ]8 Y4 j* Q
children2(crossposition)=parent2(crossposition);%掩码为1,父2为子2提供基因
$ Z3 W# f- w$ J) u9 n; ~) {children2(holdposition)=parent1(holdposition);%掩码为0,父1为子2提供基因& o7 [8 L% N# k' {0 J
8 m+ K }0 }3 F6 ~
%采用多点交叉,交叉点数由变量数决定
9 z6 g; }5 X5 y- y2 X1 i' ]) A9 S8 y) R9 O- C1 T
function [Children1,Children2]=MultiPointCross(Parent1,Parent2)3 h7 Z4 b4 Z- Q' s7 B
& q/ T: m. X$ t
global n Children1 Children2 VarNum
8 K+ I! ^! C9 Z2 p7 ~: _5 {0 ]Children1=Parent1;6 V5 }+ `# t* {
Children2=Parent2;
. s3 r' A; i2 t: lPoints=sort(unidrnd(n,1,2*VarNum));. [' n( d7 U7 p+ p
for i=1:VarNum
! Z) \7 w' o6 q- @! L/ Q6 [% V- ] Children1(Points(2*i-1):Points(2*i))=Parent2(Points(2*i-1):Points(2*i));$ Q5 X- G) w0 ?5 u1 T" R
Children2(Points(2*i-1):Points(2*i))=Parent1(Points(2*i-1):Points(2*i));/ ]. t, _7 g( J
end2 h/ C" O) Z9 B$ b
+ c4 {5 H+ T4 N9 d; b' x
%变异操作$ j, g( n9 c3 h
function [NewPop]=Mutation(OldPop,pMutation,VarNum), K8 ]* B% `* r# R
# ], I) ^; V8 B1 b& Y
global m n NewPop
! p9 K1 X0 G: x% m$ q5 t- D2 j7 Kr=rand(1,m);: t( m4 M5 x9 h9 L9 o8 v
position=find(r<=pMutation);
( E) r0 C Z3 V+ b0 Rlen=length(position);
) {6 w2 K! O# N0 N( i7 K/ W O6 nif len>=1
3 W$ J3 v& ^# c, [5 M; d for i=1:len
3 I/ V, X2 T7 L/ Z k=unidrnd(n,1,VarNum); %设置变异点数,一般设置1点
3 I! h4 j0 l/ R; l+ U2 e `& l for j=1:length(k)9 Q7 q( `. P2 i/ L! Q9 S4 Z
if OldPop(position(i),k(j))==1
# s" |* K/ F* `7 K; C9 X* P OldPop(position(i),k(j))=0;
% m9 k q) Z# h( U0 h" U else/ b# p: U. F% [. H: L) e
OldPop(position(i),k(j))=1;: a& d: g; G3 X% J' O- s: j
end1 ~+ l/ h* B2 L: S! V) M
end
& U6 n; A" R2 s- c end
- P% j5 G5 G9 z! s" `2 [end+ d% X+ k9 p! u. {. ]4 \+ S* t! Y5 b
NewPop=OldPop;
7 u, W1 h( o8 v: _! |, E+ c6 U# Z/ P9 g, x+ k& M
%倒位操作2 ~; ?& _& v/ S
9 `+ W0 I9 V" C# D9 pfunction [NewPop]=Inversion(OldPop,pInversion)
: m! D6 m. b6 P
9 L' E) d6 z# r7 H U4 t5 b- kglobal m n NewPop
5 A4 t3 v+ V- u$ RNewPop=OldPop;, m4 v5 a! p$ e6 J. N
r=rand(1,m);
1 P4 k, X9 p2 K' d: [; P" i4 F9 i EPopIn=find(r<=pInversion);, p/ c# Q; N7 N; Z9 f2 u+ O
len=length(PopIn);4 ]3 S: M' f' d
if len>=1
2 F6 M: k( Y7 {! I for i=1:len
* Z. u F6 U7 a# ]" w: o: |# ~ d=sort(unidrnd(n,1,2));9 @# M& C0 o/ @& e1 t
if d(1)~=1&d(2)~=n
. s# J7 k9 m$ |; f3 ~4 ^ NewPop(PopIn(i),1:d(1)-1)=OldPop(PopIn(i),1:d(1)-1);
! D" a/ c" }, { NewPop(PopIn(i),d(1):d(2))=OldPop(PopIn(i),d(2):-1:d(1));
$ n% M9 t) x6 u% B: X NewPop(PopIn(i),d(2)+1:n)=OldPop(PopIn(i),d(2)+1:n);9 o. ]9 X* F" g R. C
end' d! |# j' J2 R" c- n
end
% i; L; g. z( ^ W; p4 R# oend/ D& c$ E2 ?0 M, I" h( W) U
4 M0 h- V& x$ t7 f; _& `七 径向基神经网络训练程序4 L' {* o6 ~' m z5 A9 M
% I( C$ x8 |+ {3 ~7 t
clear all;
+ l0 a1 R' F7 o2 ~' ?clc;+ e- s! v5 c; t8 P& I
%newrb 建立一个径向基函数神经网络$ L7 n+ o! @( C9 p& ]
p=0:0.1:1; %输入矢量' B* E% S; F) S( F
t=[0 -1 0 1 1 0 -1 0 0 1 1 ];%目标矢量: c# P& H" K: \( u
goal=0.01; %误差$ j) O5 w# c' G6 T4 e8 u
sp=1; %扩展常数% c& o) R. D/ M9 {: T" E8 H& N- j
mn=100;%神经元的最多个数
" K7 @, @: Z( C- Q2 Xdf=1; %训练过程的显示频率% I, d) J/ X: K% k8 o
[net,tr]=newrb(p,t,goal,sp,mn,df); %创建一个径向基函数网络# Z; S. R; _3 k" q( j! I
% [net,tr]=train(net,p); %调用traingdm算法训练网络6 [" X) N3 k6 |' `4 B
%对网络进行仿真,并绘制样本数据和网络输出图形) b) w( W4 s8 E, m; _
A=sim(net,p);
# x" K& k+ ]7 v- E8 E" qE=t-A;
, V" R! u- j' f3 H0 i, U7 _9 Y. Q2 Isse=sse(E);
; {3 f: `4 V% e- d6 Ofigure; ( [, v$ m# g {: B& k8 S" m4 r" _
plot(p,t,'r-+',p,A,'b-*');
( V6 N, g1 v3 }: R3 B" ilegend('输入数据曲线','训练输出曲线');1 f; ~* W$ H5 |8 a
echo off 1 v" o/ _" p& \1 a
7 U6 s' k$ D% `* C说明:newrb函数本来 在创建新的网络的时候就进行了训练!2 {" Q+ o% Z% m
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,: O u" h. k: \( e
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!
( G7 C4 S5 y" S2 E4 X) {. T0 c) M3 t( _* Z4 W0 ^
/ X7 t9 }' n4 U( `训练结果显示:( f" U* s+ ]6 L; H
NEWRB, neurons = 0, SSE = 5.0973
! e, u* S& ?3 v# E) m2 l1 i( I+ RNEWRB, neurons = 2, SSE = 4.87139
3 p0 M' t0 _$ m4 v+ W5 v [8 cNEWRB, neurons = 3, SSE = 3.61176
f P- F8 u' O( k# INEWRB, neurons = 4, SSE = 3.4875
& J; V0 i5 ^2 V! E( HNEWRB, neurons = 5, SSE = 0.5342176 z. I% }& J! n5 J. S
NEWRB, neurons = 6, SSE = 0.517854 C" s1 F/ E. C7 Y
NEWRB, neurons = 7, SSE = 0.434259
T, V" Y# I' X; o: {NEWRB, neurons = 8, SSE = 0.3415182 e3 _$ \8 H0 \: x0 e
NEWRB, neurons = 9, SSE = 0.341519
- x" C8 x* t6 w& f6 v9 R0 [NEWRB, neurons = 10, SSE = 0.002578320 M5 Z% A" F; J5 u
: _6 R& `2 q5 O3 H4 e
八 删除当前路径下所有的带后缀.asv的文件) ^# m3 @6 b6 l: R4 Y3 o3 I
说明:该程序具有很好的移植性,用户可以根据自己地
9 S6 `" Q' r, t3 t% h4 f要求修改程序,删除不同后缀类型的文件! ! r, z" W w" C( r" p u" o8 H1 k
function delete_asv(bpath)
/ A9 a# `. e) ^' w1 S%If bpath is not specified,it lists all the asv files in the current8 F8 v' z" w0 h# h9 F0 v0 W
%directory and will delete all the file with asv $ L- X" y# X; R( ?6 x
% Example:3 ]6 h4 H8 i7 T! ~
% delete_asv('*.asv') will delete the file with name *.asv;
1 C5 ^$ B3 w3 k% delete_asv will delete all the file with .asv.
3 k6 ^0 W4 S. O
8 y2 K k* A4 Sif nargin < 1! x9 ^! ^- g) M& F) E! Q
%list all the asv file in the current directory
" @7 B( p' h. R+ P7 d; W5 e( |# P files=dir('*.asv');; A$ [) n+ I+ q% H6 l
else% y$ k0 T7 A* X: Z, d% L0 H# d
% find the exact file in the path of bpath: l6 g! o# ?2 ?2 N
[pathstr,name] = fileparts(bpath);
/ P9 G& T7 R. {. {; Q, B if exist(bpath,'dir')
a, b" Y# F4 W% t( M name = [name '\*'];
& B, E) |6 K( G3 u end
- a2 N7 m. k4 z ext = '.asv';
# x; O6 L* \6 ]8 B files=dir(fullfile(pathstr,[name ext]));! u* f! k \4 Q* g$ b/ O
end
7 M" ` x, S, y
1 T) d4 ^( q& j Cif ~isempty(files)
* a& a3 l# J/ d& O4 h; G: u for i=1:size(files,1)
0 s$ |1 b8 Y3 d' i% B# `7 \- J9 b title=files(i).name;9 C1 Q- C0 c# [" v% L
delete(title);6 A" v( e7 T' _. E6 t
end3 H% }# U5 E# S- h$ t! V
end
; n2 r6 o/ m, |5 K( m! i) Z. r6 v( @$ |! d3 @& A, a/ n: w0 N% T/ ?
- ]7 Y. c/ O9 F" O& Z) w# w同样也可以在Matlab的窗口设置中取消保存.asv文件!
. f, f+ F9 e$ m! ?" t; s6 A8 F& N |
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