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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! R( ] g# P n5 G# J/ J( z& d" z5 v
1. predict_fun.m为主程序;
% @" E0 t) r" p) s$ K% @2. timeseries.m和 serie**pan.m为调用的子程序3 o! ~7 x: Z P% q) ^4 l |# O; O
O. M6 C: p: u1 P# ?function ima_pre=predict_fun(b,step)
# }5 d7 U- j* H, P8 a5 k% main program invokes timeseries.m and serie**pan.m9 \2 ?5 d4 ?$ z2 c+ u' a% @
% input parameters:0 F8 P- a3 ]& _1 m; |
% b-------the training data (vector);! W) n/ Q' {; q( M1 |
% step----number of prediction data;) g: ^9 j/ Y2 I# f
% output parameters:
) i! ]. w6 ~* F% M7 j6 ?3 x; x% ima_pre---the prediction data(vector);
3 T: F3 e8 M5 y2 Told_b=b;, ^% q+ E2 _4 [2 D' K" J
mean_b=sum(old_b)/length(old_b);
( L/ n' q4 P6 X) o7 I. K p4 o; Gstd_b=std(old_b);
/ C4 u3 n: ]7 H2 told_b=(old_b-mean_b)/std_b;
4 @" o6 {; e, f& N9 C# ?[f,x]=timeseries(old_b);0 O" y% u% o8 e0 n6 S; [
old_f2=serie**pan(old_b,step);
% M6 d6 C# r6 M3 ~- R% Q9 [% f(f<0.0001&f>-0.0001)=f(f<0.0001&f>-0.0001)+eps;
7 D n- r ~0 k# gR=corrcoef(f);5 W4 q; B& a: U0 k
[eigvector eigroot]=eig(R);
1 P! _ B) Y5 G0 c" F7 {eigroot=diag(eigroot);% h( M/ N$ P2 y/ X
a=eigroot(end:-1:1);& d& F4 @0 o t1 q0 @' A! U5 x
vector=eigvector(:,end:-1:1);
+ u7 O- \6 `0 ?0 U/ Z& gDevote=a./sum(a);7 y* m/ x" m$ Q$ H/ z
Devotem=cumsum(Devote);
; g" D' E5 \1 }1 \# ]: l5 Sm=find(Devotem>=0.995);4 ^. s7 v1 a1 g
m=m(1);; Q7 M( S! c: ]) q& G5 w3 L
V1=f*eigvector';
$ \% b4 Z: c2 ^1 F8 Y5 s0 MV=V1(:,1:m);
$ t: _1 A* t0 V, T% old_b=old_b;- b! O& ~3 u2 M: f
old_fai=inv(V'*V)*V'*old_b;0 K- s. k& O. q! N( I
eigvector=eigvector(1:m,1:m);
( |4 h7 t3 s1 E; G: O b! [8 rfai=eigvector*old_fai;
6 a: l% b5 ^& c% {- l' sf2=old_f2(:,1:m);
- k1 l, d9 w8 C* {& T# Kpredictvalue=f2*fai;
+ c% U, k9 L4 I& Fima_pre=std_b*predictvalue+mean_b;/ Y5 t6 N/ h( _) G
4 s0 o1 c+ S. b6 V1.子函数: timeseries.m 1 J7 H* J" D4 p9 ~+ G* O6 r" J) T7 G
% timeseries program%5 [) T. s7 _$ i: N9 \2 W7 L; [
% this program is used to generate mean value matrix f;" ^$ N8 l* O9 l% @( Y1 |
function [f,x]=timeseries(data)
$ o( e9 E6 r$ ?5 E7 X. C, F1 Y% data--------the input sequence (vector);2 N0 f; D! V" ?; R; s8 v' }) H& a
% f------mean value matrix f;
! _0 }4 l! c7 X& h0 fn=length(data);3 O2 A" _* m7 G4 z' V6 y" A
for L=1:n/2
' w2 o. E" q) g9 _/ h2 Y& u6 e- k A nL=floor(n/L);8 F( [4 J% e4 K( f
for i=1:L- v. \1 j; W' X1 Q4 C q2 F
sum=0;
+ X2 M f" i- w$ e: c7 ~1 J" Y for j=1:nL
/ ?0 w# i; X6 ?+ x! D1 t Y sum=sum+data(i+(j-1)*L);4 b" U' O8 R2 S, \! e
end; N6 k% D! @ ~4 Z8 \6 V( O
x{L,i}=sum/nL;
4 N/ \7 u/ H5 F3 M$ [ r end
2 G2 b5 E: f# Iend
( M, A8 n+ D- g+ T7 dL=n/2;
8 C. ]- k, k a! S" ]f=zeros(n,L);: T6 y* R+ C, n
for i=1:L, |7 h& h) c/ E* z/ S0 d
rep=floor(n/i);
) \6 C3 H* B9 m0 R- e' F, t: r res=mod(n,i);% y+ ~/ s0 Q9 g: Z5 m
b=[x{i,1:i}];b=b';
9 q8 i6 Y# W2 e8 d+ a f(1:rep*i,i)=repmat(b,rep,1);
* ^ N5 l$ _7 \7 A if res~=0+ a$ H2 d; E- Z2 P
c=rep*i+1:n;- T1 q' ]7 k O* M! i3 B- v
f(rep*i+1:end,i)=b(1:length(c));
, n. N' W3 {& c* @+ ~" ^& | end- w$ [5 O! d% T9 Z: G
end( X8 u' u8 m. ~
' q5 z% h1 M( y# O- t
% serie**pan.m
4 r$ w$ E7 M$ K1 J, G6 |3 Y% the program is used to generate the prediction matrix f;
9 ?; B: R0 J3 wfunction f=serie**pan(data,step);! Q' p: A! |: C: m2 a
%data---- the input sequence (vector)
: |! v X& c& V. w/ z% setp---- the prediction number;1 k0 Q ~+ Z7 U1 \
n=length(data);
' G& l6 U# n. u \2 c$ Cfor L=1:n/2 s* S% ~& B8 [. n% r
nL=floor(n/L);) z3 ^" ~ |4 B, T: N( A6 \) j
for i=1:L9 Y) x8 g" C& \6 Q. ?' o F
sum=0;3 G8 U6 z: q6 }' h
for j=1:nL) {, H7 h$ i9 L" ?
sum=sum+data(i+(j-1)*L);* ]- l- [" k, l
end
+ ^ f+ B, C1 f! \/ F! o; H x{L,i}=sum/nL;$ C) Z8 b9 g$ n' O! Q
end, Z* M4 u* c4 Q2 ~4 f, r
end
' J$ f- P$ Z" FL=n/2;1 N3 m' A6 N) X* B
f=zeros(n+step,L);
8 A8 \. H% d: ~( Lfor i=1:L% T4 J$ R# H7 p; s* J6 R
rep=floor((n+step)/i);/ l5 @. v; P' B# i2 A
res=mod(n+step,i);$ K% [( u. D4 N) Q
b=[x{i,1:i}];b=b';0 x8 v/ _+ ?9 h7 Q; |
f(1:rep*i,i)=repmat(b,rep,1);/ ]& c/ b5 r! B
if res~=0$ X6 Y- }- H7 L6 m0 b l
c=rep*i+1:n+step;6 h! Z4 p2 {4 p* I* m* g8 U
f(rep*i+1:end,i)=b(1:length(c));+ r9 p/ u7 p9 ~$ n* n1 x" e8 h
end
2 U: M! b9 r9 }% qend
4 h& E6 u: f1 \/ z) e+ f" n% t- l( f
二 最短路Dijkstra算法1 S4 x- p) N I r$ V3 @
% dijkstra algorithm code program%8 @2 D2 a$ s: D; }' [
% the shortest path length algorithm+ X5 z$ X: [$ u0 i( Y+ y
function [path,short_distance]=ShortPath_Dijkstra(Input_weight,start,endpoint)
4 S5 z& v. f! x7 _% Input parameters:
5 ?' _) c* b4 n/ f+ m! G9 ^; Q) z% Input_weight-------the input node weight!2 @$ } l2 U+ j$ W% g
% start--------the start node number;$ t( @' J3 |+ A
% endpoint------the end node number;
0 L" D, }' }4 L) `8 K! W- I% Output parameters:
) r9 p2 E% L: n# }% path-----the shortest lenght path from the start node to end node;
* A0 X, U$ W: Y3 ]) R6 l b% short_distance------the distance of the shortest lenght path from the
) S, q `# S: K- x7 d+ Y% z% start node to end node.
. W- ^& g( E3 W& g" H3 {[row,col]=size(Input_weight); b( r3 p1 E- a0 x7 F2 p$ {- R
, {3 v* y) s' t5 P0 M
%input detection
6 u9 ^' ^- ? Yif row~=col; X& h8 o4 w, {( Q! r( d9 }
error('input matrix is not a square matrix,input error ' );3 g2 j% `9 s2 t7 ?$ a! Y. c5 n' L6 u' t
end
# p" e ?5 I8 @1 e# T" ?: wif endpoint>row
! \7 A( p7 R7 ]% I) M2 I- n error('input parameter endpoint exceed the maximal point number');
! {" \9 U* K, m1 J& Pend
0 ^, s! K& W4 B+ d2 b' W7 d# g
+ o# D1 I+ v. I6 t$ R%initialization9 B: s& t! G4 q% B
s_path=[start];
8 q5 |" |, i1 \3 D1 Q4 E. Jdistance=inf*ones(1,row);distance(start)=0;' b3 @8 @* }' X6 @
flag(start)=start;temp=start;
/ s$ z# E0 C, ~8 C: c( ^. [
/ F$ l: Z0 K5 r! }7 o/ A" }while length(s_path)<row
, \ b1 u3 U- V; B3 j pos=find(Input_weight(temp, : )~=inf);
5 }/ A, a& O% C) g' W for i=1:length(pos)
# z, X7 w3 B( F6 B o j9 F- o5 z if (length(find(s_path==pos(i)))==0)&3 J. o5 ^: k* A) J2 y% {
(distance(pos(i))>(distance(temp)+Input_weight(temp,pos(i))))" g( v2 ?4 N1 i
distance(pos(i))=distance(temp)+Input_weight(temp,pos(i));# L3 C1 J. A) f1 j
flag(pos(i))=temp;
* m' n7 c( C6 n) o. ~ end1 C3 R( e6 C5 `- c* @6 C
end3 \9 p- A' F) l7 `: s; W; r
k=inf;
1 G6 s4 q2 x0 v" Y0 k. v for i=1:row- b9 r ~+ Y0 v& r- W; c
if (length(find(s_path==i))==0)&(k>distance(i)): K. o+ S/ b- y( ]7 g
k=distance(i);# \7 x+ ^" \$ ~3 l. {. S
temp_2=i;
! t* R% n9 ^( ]0 U( p* R end
$ B6 f3 x3 h6 k$ n8 ?: [8 I end* O. R& D) x' B8 h
s_path=[s_path,temp_2];- m& ?4 |( X1 I1 O$ N$ k3 N
temp=temp_2;
, S- s N% z7 E' G# _, `end
/ e1 G, _3 |9 p9 A7 i; n- ^- V/ R
! X. d. K! g4 h0 K%output the result6 v% c* y/ m( f2 t& L2 H
path(1)=endpoint;. n$ n; d& }3 F! p) e7 Z
i=1;* H% t8 Z- c9 [" _
while path(i)~=start
; c; m9 [ ^5 S0 W/ ^! o path(i+1)=flag(path(i));
4 b2 H8 N; Z7 J' p! l! E i=i+1;$ ]; Q. D$ L/ A! q; g3 ?4 f
end
1 l) A4 v4 j, P2 v; K9 [path(i)=start;
! l0 L2 P) M+ d# n- d1 h' npath=path(end:-1:1);
) `. M! \6 V2 p2 Tshort_distance=distance(endpoint);/ M: y0 ?" B4 h, m- F' Q0 j
三 绘制差分方程的映射分叉图
4 E, D4 j% W# C4 E/ h5 @3 f8 D4 R( H
+ s8 o- ]- W+ \function fork1(a); 1 n. ~ d5 m5 L, {
5 }, ?6 c, P5 G4 Q* u! \. c; q% 绘制x_(n+1)=1-a*x^2_n映射的分叉图
& i8 T& d H' B8 S) O% Example:
2 Q, l; s* V7 e- J. U, c0 V0 \0 H% fork1([0,2]);
$ R3 k- e" w2 t5 c8 K' DN=300; % 取样点数 5 @! H1 L8 k% D; |# M% G4 g
A=linspace(a(1),a(2),N);
$ @6 m$ W3 j& tstarx=0.9; ' n6 j+ _' o) T* u# k8 }
Z=[];
4 Q6 e# h4 u* F( c( [/ o/ ]4 N/ Ah=waitbar(0,'please wait');m=1;
$ y5 T! h8 @: b: S- p3 O" F( Rfor ap=A;
2 a! \. q+ P( P x=starx;
0 G% d3 {# X7 S' q! o. y3 E for k=1:50; 8 V' v, q1 U0 _4 D1 w* G
x=1-ap*x^2;
5 N3 a2 V9 X, f" G1 T end
, J% ^9 K d* z9 B for k=1:201;
t( M# F6 \/ H3 R x=1-ap*x^2; ; ]% k7 @: e8 G4 \: a+ m$ }
Z=[Z,ap-x*i]; / ^6 S S9 v5 B8 |6 f
end $ E$ B, s* s. f3 f1 e. [5 l
waitbar(m/N,h,['completed ',num2str(round(100*m/N)),'%'],h);
% l! U/ [# Q9 s4 } m=m+1;
" Q& y- v$ K% f/ ]6 i8 F' \4 v3 pend
( P" V/ u$ w7 f' Kdelete(h);
6 e5 |* M# ?1 B) I7 G; bplot(Z,'.','markersize',2) ) \! m" Z; R6 m! u1 w! U
xlim(a);2 E! W+ T& i+ q: k' d! @* |
m/ R9 a% V. P1 d: k# `
四 最短路算法------floyd算法
6 w3 J# d, B- a" z1 i3 gfunction ShortPath_floyd(w,start,terminal)
3 T8 q: r7 z4 m# D% e; x$ }%w----adjoin matrix, w=[0 50 inf inf inf;inf 0 inf inf 80;
1 A3 Z& }8 ?- G+ h/ [%inf 30 0 20 inf;inf inf inf 0 70;65 inf 100 inf 0];0 `3 b! a+ o6 I9 W% L" G
%start-----the start node;% w6 L* g# A9 C+ w) p5 G
%terminal--------the end node; ! o9 ]; O" {. |( t! m0 b) M; [% [
n=size(w,1);
! a# o' |% _9 s! Q, c[D,path]=floyd1(w);%调用floyd算法程序. u8 S( ]* k* T2 G
T4 c2 b2 p- Q0 [* g
%找出任意两点之间的最短路径,并输出
$ m# @, s; t8 k+ ^9 ]0 t6 Zfor i=1:n% h8 u+ J2 W% W( @. L3 I3 I+ V+ j
for j=1:n
: w; X7 e% m s& \) q7 R: l Min_path(i,j).distance=D(i,j);
# b# u) c' L. h2 R9 K+ {- \ %将i到j的最短路程赋值 Min_path(i,j).distance: b5 J# {2 f. i4 b J) m% U
%将i到j所经路径赋给Min_path(i,j).path
; z. U$ f5 w( W2 s Min_path(i,j).path(1)=i;
$ p& v8 ]; v8 N) K7 c k=1;6 O0 Q; R% m* J6 |& D( x
while Min_path(i,j).path(k)~=j
% n* U6 e& v) H7 i5 @: u k=k+1;+ L: ^( O2 q, b8 [
Min_path(i,j).path(k)=path(Min_path(i,j).path(k-1),j);
' _! W) W; U! W( C/ B2 A+ N end9 L# A2 v m/ ]
end
d& I- B6 e) Pend
1 J0 u; Q* J7 @8 s5 e) qs=sprintf('任意两点之间的最短路径如下:');0 n& R% G1 w" }1 G7 m) [8 }
disp(s);
T) {( }* X: n9 N0 \% Ifor i=1:n) b9 Y0 x% h/ E
for j=1:n
2 x7 @2 _8 R1 @" s6 J1 @3 C% \ ~2 J3 E s=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:'...
5 x3 G7 U9 q, ?5 |8 I/ E ,i,j,Min_path(i,j).distance);5 ~- Y: C9 U6 D9 o* g
disp(s);
9 e6 K- z* G* P' ~, J disp(Min_path(i,j).path);& g- r- g& T6 w; ~3 T
end/ [7 D$ U) Z- X( ?1 t
end! y1 R0 U" D8 C5 x, b& ?% Y! Q
: ]& ]. A; b2 u+ B% m
%找出在指定从start点到terminal点的最短路径,并输出
* V& y0 L, u6 h) e9 ?9 ]; ?str1=sprintf('从%d到%d的最短路径长度为:%d\n所经路径为:',...
0 b7 H( a7 m& F3 j start,terminal,Min_path(start,terminal).distance);
) X3 j+ B$ g+ n0 n1 R. vdisp(str1);
% [( q5 @. m* x; [& Kdisp(Min_path(start,terminal).path);! o: f! M/ Y- H* A3 @( d
~/ x7 \2 x0 Z+ p
%Foldy's Algorithm 算法程序
; U4 x4 e( S: ~; Z5 Lfunction [D,path]=floyd1(a)
. ^6 X K) k5 h+ E2 }# ~* Tn=size(a,1);) P$ B- F Z3 l: c1 V
D=a;path=zeros(n,n);%设置D和path的初值
0 }- }$ ]7 v! }, C: Lfor i=1:n3 `$ j7 {! m u0 B* j3 l6 x
for j=1:n/ _1 j- D+ V; ~/ P% e' Y# D9 z
if D(i,j)~=inf6 l% J( o+ f1 ?2 w7 E, T
path(i,j)=j;%j是i的后点) ^4 Q3 [+ m2 Q2 q
end+ O* t$ u# s1 u1 s! T7 v# [/ t
end
: W @ _. n' G5 gend$ c, @4 }# r1 B: O' a* a v
%做n次迭代,每次迭代都更新D(i,j)和path(i,j)
9 ?7 I* y" {* a" A& A b& Zfor k=1:n- X+ D: s+ ?9 q. n
for i=1:n9 Z! ?) _. Q- R
for j=1:n# I5 `4 p; L& r& w
if D(i,k)+D(k,j)<D(i,j)
6 w. X! x& \, `3 U: g* U& z& y D(i,j)=D(i,k)+D(k,j);%修改长度7 {/ f! o; S# Z! {8 v/ l) a, A) Y% S: p
path(i,j)=path(i,k);%修改路径; K. w' x2 l, B' N$ @' R, _* J! R
end9 @7 K( c9 b8 R
end8 }3 v& f7 W0 l' k/ w' b( S/ u
end: F& G2 }* t5 H" E" O
end4 {" _+ `/ \& |
& l/ S: ]0 m0 N! n ^五 模拟退火算法源程序( M# j3 L' Y( Z/ k3 _4 ~3 r- @
function [MinD,BestPath]=MainAneal(CityPosition,pn)
& f5 `3 Z h7 Wfunction [MinD,BestPath]=MainAneal2(CityPosition,pn)
4 a3 Q4 ?5 H8 |9 v2 L4 F \7 M%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
2 p B# M( D2 `# i' ]( |%CityPosition_31=[1304 2312;3639 1315;4177 2244;3712 1399;3488 1535;3326 1556;...
! D) Z6 U8 k" U7 k }5 p+ K% 3238 1229;4196 1044;4312 790;4386 570;3007 1970;2562 1756;...: X9 c4 H$ G6 {: ]
% 2788 1491;2381 1676;1332 695;3715 1678;3918 2179;4061 2370;...
) T4 g5 Y& P. N4 F1 k% 3780 2212;3676 2578;4029 2838;4263 2931;3429 1908;3507 2376;..., \& x' n8 D6 J o% U8 c- Y; E" |
% 3394 2643;3439 3201;2935 3240;3140 3550;2545 2357;2778 2826;2370 2975];
2 L+ ?. ]! W! `: Z3 O' V" R: {: q: r, d4 J" O& c6 e3 |
%T0=clock- J( T. t* o/ n
global path p2 D;
. A0 `* d. M) W6 C[m,n]=size(CityPosition);* G# g' d4 A# M$ n+ y, q' ]
%生成初始解空间,这样可以比逐步分配空间运行快一些
, K- \( V+ E9 gTracePath=zeros(1e3,m);
) H3 G) C4 T- J2 CDistance=inf*zeros(1,1e3);' @# p9 x( \' F4 o' s+ m
7 D" I, G& _. v8 m Q/ q
D = sqrt((CityPosition( :, ones(1,m)) - CityPosition( :, ones(1,m))').^2 +...
$ F7 o. O U% q: i& P" k (CityPosition( : ,2*ones(1,m)) - CityPosition( :,2*ones(1,m))').^2 );
3 f6 y( ~7 U4 N1 r9 x7 u%将城市的坐标矩阵转换为邻接矩阵(城市间距离矩阵)
c; J: Q% i: c) _2 k/ ^for i=1:pn
/ Q) i/ @8 R9 {/ Y path(i,:)=randperm(m);%构造一个初始可行解$ U: e+ w( A; x$ z( L4 e ?
end
M' u2 C a4 k- ?; [3 @+ ht=zeros(1,pn);
- @1 ~$ D4 }2 j; Gp2=zeros(1,m);$ o& H! m. h9 |6 Y8 V
$ S/ B9 ]+ M0 }# f& h
iter_max=100;%input('请输入固定温度下最大迭代次数iter_max=' );
4 t2 u/ d* s) H, [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=' ) ;1 M' Q% Y: L& E. T, K
%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
" L5 @$ ?! |& U$ M% e% ^$ ~0 z/ Y%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
5 `8 A8 ]+ F& H" N% j# x%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
& ?: k0 f4 G: b6 T% [%会收到到比较好的效果& h2 [8 Q: `; i, O. b9 _7 a9 q
" a; X Q8 U; W9 R! o& JT=1e5;7 D0 b7 V' r- a0 X+ j. T! e
N=1;$ [1 }$ \$ Z+ h3 h' m
tau=1e-5;%input('请输入最低温度tau=' );
0 i* p( C) h! B1 z6 k' a%nn=ceil(log10(tau/T)/log10(0.9));5 K4 u& O6 H+ k" z1 I! `; m
while T>=tau%&m_num<m_max 9 I* E6 K' ~. r
iter_num=1;%某固定温度下迭代计数器- y; f4 H* z. G" L( Q
m_num=1;%某固定温度下目标函数值连续未改进次数计算器
& o+ O% w% c4 V/ g* m/ } %iter_max=100;3 P: M- @1 H, P) H( ?1 X1 H8 {
%m_max=10;%ceil(10+0.5*nn-0.3*N);4 @% P: W% b3 N( a9 I7 P1 R/ J
while m_num<m_max&iter_num<iter_max) T5 _" \$ ]5 j' N! n* ~# b( H
%MRRTT(Metropolis, Rosenbluth, Rosenbluth, Teller, Teller)过程:3 |! M; u2 q9 I# f. F& T
%用任意启发式算法在path的领域N(path)中找出新的更优解
3 i, E! F- u7 X, v; L; l9 d for i=1:pn3 R: L( N: S7 g4 G6 r 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))]);: G' ^7 Q! M, R8 [0 `( N" u z
%计算一次行遍所有城市的总路程 . T) D' y& g3 |! R! K) ~# b W* [
[path2(i,: )]=ChangePath2(path(i,: ),m);%更新路线/ C! j) Z3 X) l% O
Len2(i)=sum([D(path2(i,1:m-1)+m*(path2(i,2:m)-1)) D(path2(i,m)+m*(path2(i,1)-1))]);
9 M. E3 y2 Q& C2 ~# }, H$ f0 S end Y4 ^, I" S. s4 M
%Len1
0 D' l+ [6 y6 z" g9 V. N4 |& X6 ~" z %Len2- a+ V2 T) o3 L+ \) L; R& X
%if Len2-Len1<0|exp((Len1-Len2)/(T))>rand! s( o1 x& V1 P. u+ M0 { e
R=rand(1,pn);2 N! |2 k* V3 ]2 N
%Len2-Len1<t|exp((Len1-Len2)/(T))>R- Y3 j0 e: P- `% V" d
if find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0)# D) l. ?+ p( H. S5 X& `: Q
path(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : )=path2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0), : );9 L( B2 ]3 h% g i m4 |7 F% c! w- d
Len1(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0))=Len2(find((Len2-Len1<t|exp((Len1-Len2)/(T))>R)~=0));
5 v2 Z( e+ s: A9 Q( Z' O [TempMinD,TempIndex]=min(Len1);
0 Y0 W7 E$ d5 t1 ^ %TempMinD8 J. |$ [$ t) r! m) S4 P/ _
TracePath(N,: )=path(TempIndex,: );
& v' T7 s5 ?7 n Distance(N,: )=TempMinD;4 R9 n" ]8 l2 D I5 l2 [% }: W
N=N+1;! u1 ^$ [( f, L. M
%T=T*0.9( b5 x0 U \6 `5 l
m_num=0;$ e" ?6 |0 p# M0 x) I
else
; b' u' T% v9 y) M! O0 { m_num=m_num+1;; }7 L# _9 J0 w2 c
end: T* v; g+ h, y& D" Z
iter_num=iter_num+1;
" J9 _1 L6 F- m& \ end
0 L# w) O9 L( k+ S T=T*0.95 h+ ^1 O8 A/ ~3 A& [5 W, ?6 F
%m_num,iter_num,N0 d" N& }' }; k+ Z( X! I
end
; \& o6 g1 N, g, h+ R2 x- c[MinD,Index]=min(Distance);' w6 h) ^7 w' K7 d" \7 |0 j, ]
BestPath=TracePath(Index,: );9 \4 C$ @, {0 }+ c& z1 z, M# K7 q
disp(MinD)2 ~ `1 D# N0 e8 l" u
%T1=clock
/ s- @' n% Z$ d- T& i1 ~ H7 ?9 I. w
. d" \3 d9 ~0 N% L+ A0 }( a i" I9 Y n0 L4 ^5 D5 m. m
%更新路线子程序 5 x* b. s) U1 V$ p, `- T
function [p2]=ChangePath2(p1,CityNum)
9 Z( O# e) r7 Aglobal p2;% x J6 s7 l7 ~
while(1); g5 H' _1 _" s
R=unidrnd(CityNum,1,2);
9 U1 E/ g" P7 T# ]: _! H8 K if abs(R(1)-R(2))>15 ^7 b O: O( _
break;
) w/ `: v" ^: e1 o; Z% }! R- c end/ o& d3 X+ v$ H9 b& H& s
end l* v% \) E) A) y
R=unidrnd(CityNum,1,2);' M" a( a; N, Y* W! ?
I=R(1);J=R(2);5 t8 K x% m# A& P% |
%len1=D(p(I),p(J))+D(p(I+1),p(J+1));4 `6 a* F/ s$ @. l E$ A2 Z
%len2=D(p(I),p(I+1))+D(p(J),p(J+1));
" [% W. ~& S" Y8 N; m9 O# P% yif I<J& t( {& G7 r6 b% a
p2(1:I)=p1(1:I);0 g4 d- o1 K* k ]% v" E
p2(I+1:J)=p1(J:-1:I+1);
- E. M" A! n* ^3 j p2(J+1:CityNum)=p1(J+1:CityNum);, q7 ]+ o# q0 y! x
else
- Y+ P* e( P" {# \8 W; @- R p2(1:J)=p1(1:J);6 @# W% R+ I e, `: u% F
p2(J+1:I)=p1(I:-1:J+1);
} ?) |4 A p9 b4 K p2(I+1:CityNum)=p1(I+1:CityNum);
+ ?. p. t: i* R* k6 w* G" D, Yend
p3 S2 P( d$ ?' f: R
: o% u7 C; T( s3 j: u六 遗传 算 法程序:# @, f# H: N M$ P/ x
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!/ v. i0 F: l7 c( ^; y) a5 y
& @9 s1 O' I- L/ D# ?+ e% N/ J
function [BestPop,Trace]=fga(FUN,LB,UB,eranum,popsize,pCross,pMutation,pInversion,options)7 _9 [! P9 B6 p3 u1 y
% [BestPop,Trace]=fmaxga(FUN,LB,UB,eranum,popsize,pcross,pmutation)
" v5 a0 o3 \9 _) z3 I7 `% Finds a maximum of a function of several variables.8 Q0 y& j# n$ t
% fmaxga solves problems of the form:
3 ?0 n6 r" B: D( B7 n% n% max F(X) subject to: LB <= X <= UB
5 k; e3 ]: L2 G5 Y) [9 r# w" U3 B% BestPop - 最优的群体即为最优的染色体群2 \ O o& B* y
% Trace - 最佳染色体所对应的目标函数值
/ h# z! F" ~3 A, X% FUN - 目标函数7 t9 D# G# K5 Q# l$ B Y
% LB - 自变量下限8 B8 o; W# y) j. n( l
% UB - 自变量上限, K h: G( B* R2 a
% eranum - 种群的代数,取100--1000(默认200)
/ |& n3 ~) n! S0 f9 x A6 d% popsize - 每一代种群的规模;此可取50--200(默认100)
& c% m8 K B7 N! L& a% pcross - 交叉概率,一般取0.5--0.85之间较好(默认0.8)
8 ^5 p, b. K7 h6 h* R% pmutation - 初始变异概率,一般取0.05-0.2之间较好(默认0.1)& H! O, N, l' [% l4 n; q
% pInversion - 倒位概率,一般取0.05-0.3之间较好(默认0.2)
- z2 ]3 W2 Q: [% options - 1*2矩阵,options(1)=0二进制编码(默认0),option(1)~=0十进制编
6 B( w/ v' ~ b- C5 [%码,option(2)设定求解精度(默认1e-4)
* t/ p) X' k. v%- L9 k$ N. j! J4 \8 Z- W
% ------------------------------------------------------------------------$ i: _: A4 t5 \. E' V
' B$ S# l% j$ G% LT1=clock;/ M7 S) u- `, U$ G9 ^) R
if nargin<3, error('FMAXGA requires at least three input arguments'); end
. {, u0 t% t2 m/ P. `) X8 x6 e6 Cif nargin==3, eranum=200;popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end7 X( E& U. M1 ~7 n8 `8 t
if nargin==4, popsize=100;pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end3 ~/ e8 K7 r. t( M. ]* }& {
if nargin==5, pCross=0.8;pMutation=0.1;pInversion=0.15;options=[0 1e-4];end
+ ^: y, ^" t( z6 s W: i9 Uif nargin==6, pMutation=0.1;pInversion=0.15;options=[0 1e-4];end5 `( S( p8 D8 _8 v
if nargin==7, pInversion=0.15;options=[0 1e-4];end
' C/ [% S, Z1 e1 C. kif find((LB-UB)>0)" f1 a6 C; d8 j: [
error('数据输入错误,请重新输入(LB<UB):');
+ S/ v+ u5 q O" |1 Rend
; f: ], e3 J! W+ ^s=sprintf('程序运行需要约%.4f 秒钟时间,请稍等......',(eranum*popsize/1000));& t* }; _$ X9 N
disp(s);$ {4 f2 C# u- `$ x9 t G
4 y% F: Y- m* b4 { A) jglobal m n NewPop children1 children2 VarNum
* J! k' P0 Z: r' J4 k6 p" g' p* o2 D9 ?% Z6 V7 K% m( y
bounds=[LB;UB]';bits=[];VarNum=size(bounds,1);' ^; }* v r+ l" Y* t2 V. M; M
precision=options(2);%由求解精度确定二进制编码长度3 x! a: j; ?9 v5 A) _2 h# D
bits=ceil(log2((bounds(:,2)-bounds(:,1))' ./ precision));%由设定精度划分区间
5 M' s a0 a9 R |4 `) @" M' L2 p* w[Pop]=InitPopGray(popsize,bits);%初始化种群2 S1 W0 Z7 C" l R- Z
[m,n]=size(Pop);
4 N# h, e8 `' Z$ zNewPop=zeros(m,n);
; Z7 N5 O2 s) gchildren1=zeros(1,n);
( {4 S2 F6 D$ [, _children2=zeros(1,n);( X" p7 B6 G7 B1 ?" s7 w
pm0=pMutation;& U& [2 J" L8 \; b# T6 x
BestPop=zeros(eranum,n);%分配初始解空间BestPop,Trace4 b& r* I0 F9 ]- R- N, K; x( O
Trace=zeros(eranum,length(bits)+1);
( v$ W/ {/ H/ h6 W! O7 ]) [i=1;2 B+ ?- I! G: g
while i<=eranum
1 X1 ]' D: |* z# x- P! g for j=1:m
/ {$ B. C( l! q2 \5 q2 H value(j)=feval(FUN(1,:),(b2f(Pop(j,:),bounds,bits)));%计算适应度/ J1 H+ z% A5 I+ j- A8 W4 }& ~% A
end5 Z3 T) H+ }9 B0 S; x
[MaxValue,Index]=max(value);0 `8 N, C/ `' n; w+ {; A
BestPop(i,:)=Pop(Index,:);, Z3 h, J5 o, k5 f- k2 Y# |% C
Trace(i,1)=MaxValue;
5 F: M, u, T+ r# m$ B Trace(i,(2:length(bits)+1))=b2f(BestPop(i,:),bounds,bits);
+ x' z, B9 \4 s. U2 ^- J" |" y% U [selectpop]=NonlinearRankSelect(FUN,Pop,bounds,bits);%非线性排名选择0 P5 o4 B0 s% q" v3 s
[CrossOverPop]=CrossOver(selectpop,pCross,round(unidrnd(eranum-i)/eranum));- E: C, B0 S3 k
%采用多点交叉和均匀交叉,且逐步增大均匀交叉的概率+ |: }6 D# y3 t8 v7 f( ]6 ^3 z
%round(unidrnd(eranum-i)/eranum)% k: L( G/ J5 l9 z
[MutationPop]=Mutation(CrossOverPop,pMutation,VarNum);%变异
! B* ?. A4 T) D. v# o/ s [InversionPop]=Inversion(MutationPop,pInversion);%倒位
8 w. ^4 s7 _7 Y Pop=InversionPop;%更新
2 j3 L: _: @" [, \pMutation=pm0+(i^4)*(pCross/3-pm0)/(eranum^4);
, |" E5 E( `& h5 L1 R%随着种群向前进化,逐步增大变异率至1/2交叉率
: y, v" o, g' b) x p(i)=pMutation;
: N, A$ R1 I# F$ ~0 H i=i+1;
4 @+ ?- v" i" U/ yend
4 D% q, F7 X5 T0 `. nt=1:eranum;1 ?+ t5 v: y; M/ T" r. }0 C
plot(t,Trace(:,1)');
2 X N- h0 ], m" E5 r' p. ktitle('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)');
. C( _) f. t3 C% u& q( Z* F; n[MaxFval,I]=max(Trace(:,1));
8 \) z! E# E8 w% |5 x. jX=Trace(I,(2:length(bits)+1));
9 b* E% l5 M& ]8 i/ thold on; plot(I,MaxFval,'*');# }0 k L P- _+ y- |& Y$ H
text(I+5,MaxFval,['FMAX=' num2str(MaxFval)]);3 w% j% y# }; [: o
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* w) u3 V9 ]% w) H9 x, f, r4 jdisp(str1);
; Y& i' f# e) G; P%figure(2);plot(t,p);%绘制变异值增大过程. I9 ~2 d9 a7 X; \& ~
T2=clock;
$ h) o4 d2 z/ g% ^& celapsed_time=T2-T1;
/ \- L! E" \! t' d6 m5 hif elapsed_time(6)<07 u. _# b4 _( C
elapsed_time(6)=elapsed_time(6)+60; elapsed_time(5)=elapsed_time(5)-1;" l! U0 [7 ], k' D
end4 ?0 n: ?% q, v" L# `/ N
if elapsed_time(5)<0
" K2 N+ B- f" o7 {" `7 X- \5 _ elapsed_time(5)=elapsed_time(5)+60;elapsed_time(4)=elapsed_time(4)-1;
7 u( v, ~8 r. R, n# w4 fend %像这种程序当然不考虑运行上小时啦
" p# a: l% i# B; pstr2=sprintf('程序运行耗时 %d 小时 %d 分钟 %.4f 秒',elapsed_time(4),elapsed_time(5),elapsed_time(6));
8 t* [8 P* M9 u$ |, ]. A3 b2 \disp(str2);9 y* O: A3 [9 `8 V* H
% q7 c1 o/ c, S" H
7 { r" i$ m% ~" w) F%初始化种群/ l# x! d" t% A8 Y# [6 M" r. }9 C
%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
- G/ Q% U, d2 `4 M/ T, {: }function [initpop]=InitPopGray(popsize,bits)
6 }7 X P5 h" F4 \+ C* Y) C" Dlen=sum(bits);
% u/ n Z w5 o" d" Qinitpop=zeros(popsize,len);%The whole zero encoding individual
- R6 R# {$ b: J0 S* z$ Hfor i=2:popsize-1
. W' h x! x4 I2 P% w3 R* H0 i o pop=round(rand(1,len));
& c h0 k' I1 {: J/ l3 S7 D pop=mod(([0 pop]+[pop 0]),2);
! m) t G. Y( B7 i %i=1时,b(1)=a(1);i>1时,b(i)=mod(a(i-1)+a(i),2)5 A [ g! Q8 X1 K/ u+ B
%其中原二进制串:a(1)a(2)...a(n),Gray串:b(1)b(2)...b(n)7 N" m @9 Y% @: e
initpop(i,:)=pop(1:end-1);
5 d& D: S( `7 V9 cend
, k6 v5 ]/ R% G1 o7 A: N4 d; W3 Y; _initpop(popsize,:)=ones(1,len);%The whole one encoding individual
& i. A- q! m# x! G%解码' z1 i; e2 S9 |6 M! j
, A" F5 L2 G- F- B
function [fval] = b2f(bval,bounds,bits)0 k! I% k$ ^' V3 Q6 T. B
% fval - 表征各变量的十进制数0 ] \$ ]5 Y; H8 k" w( A2 E; |
% bval - 表征各变量的二进制编码串( ], x2 V% o; A& f
% bounds - 各变量的取值范围
% L6 Y" h/ ]4 v# o, a/ P% bits - 各变量的二进制编码长度
6 _" W; T- o4 e. K5 tscale=(bounds(:,2)-bounds(:,1))'./(2.^bits-1); %The range of the variables
* G3 o8 C; f+ w: y! F$ AnumV=size(bounds,1);
6 Q- l$ n* i. U. Z- k5 ], N% ocs=[0 cumsum(bits)];
+ l) A1 s9 o/ M: \5 W$ V( V* Tfor i=1:numV/ `8 A/ b! ]( \9 Z
a=bval((cs(i)+1):cs(i+1));, }* C4 R" ]& K: v, ]
fval(i)=sum(2.^(size(a,2)-1:-1:0).*a)*scale(i)+bounds(i,1);
; v# @: R+ X2 D Q6 w& x7 Dend8 [/ o6 z5 H0 C$ g
%选择操作; C" ~# K! `6 `* S- c2 ~
%采用基于轮盘赌法的非线性排名选择
4 S1 b5 B8 v& ]3 I8 \2 H5 S%各个体成员按适应值从大到小分配选择概率:
- x4 x6 b" u' B4 u%P(i)=(q/1-(1-q)^n)*(1-q)^i, 其中 P(0)>P(1)>...>P(n), sum(P(i))=1
9 A% M+ U4 [# [
: p4 k+ Y. [* Ifunction [selectpop]=NonlinearRankSelect(FUN,pop,bounds,bits)( Q1 U3 c. ]2 L
global m n
* z! ~7 C1 M, P5 k5 dselectpop=zeros(m,n);
! ]: H5 ?& |9 }7 k+ C/ Ufit=zeros(m,1);# A" _% Q- [" D8 L' f0 v' w" O# R
for i=1:m
5 G n h" Y( h# b fit(i)=feval(FUN(1,:),(b2f(pop(i,:),bounds,bits)));%以函数值为适应值做排名依据
4 v0 l! n8 o, B! Vend! k& l+ @. R- @2 v# a/ B w
selectprob=fit/sum(fit);%计算各个体相对适应度(0,1)
( h2 l2 L4 G# T k) ^3 oq=max(selectprob);%选择最优的概率
! }5 T' y* t' bx=zeros(m,2);
3 A3 d/ N' A" y+ y3 g8 Yx(:,1)=[m:-1:1]';/ C2 y# }% J( m+ v5 C8 X
[y x(:,2)]=sort(selectprob);
8 W! J8 o8 u! }* ?0 Br=q/(1-(1-q)^m);%标准分布基值
% b0 d- L# F" |3 Q! Xnewfit(x(:,2))=r*(1-q).^(x(:,1)-1);%生成选择概率! G8 S2 @, L( g: n% C2 E& L
newfit=cumsum(newfit);%计算各选择概率之和
' `0 J9 A8 \( A& e$ {7 G+ SrNums=sort(rand(m,1));
0 {/ w4 y4 X" M8 K& |fitIn=1;newIn=1;
$ e/ J+ w1 ^3 u; o+ S# cwhile newIn<=m
; j, _ `% Y4 b! D$ m6 x3 ` if rNums(newIn)<newfit(fitIn)# Q$ d- I+ v6 r+ k/ {& @
selectpop(newIn,:)=pop(fitIn,:);
- p2 ?) x: l2 H2 o' ] newIn=newIn+1;+ z) h( h& ~" |* ?" Y% |$ o6 X+ Q
else
, \( P9 d+ b) ^+ d/ b1 a- h7 e& n+ ^( a fitIn=fitIn+1;
8 d4 o' r4 E0 G* t. K& [3 B- K end
* C: {5 }; A9 ~ I( i- { A5 mend6 _% V8 f9 Y' c, U
%交叉操作
: i! \& g: D Xfunction [NewPop]=CrossOver(OldPop,pCross,opts)& u6 m" @ i5 x9 }" m- k) G2 O
%OldPop为父代种群,pcross为交叉概率
. t3 P/ t1 g; N: l( Wglobal m n NewPop - L& w5 H4 }- O7 u+ m
r=rand(1,m);
6 P$ _& h! a j" H4 A: s6 ty1=find(r<pCross);6 Q' _* n8 q8 j5 d6 f
y2=find(r>=pCross);
P, V% \6 q$ `* f! b! c# {len=length(y1);& C& a% G- D: K8 D; o5 T
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 Z$ M/ e7 I$ P, S9 A0 k" W
y2(length(y2)+1)=y1(len);0 S' \" S9 k# \1 d* K, F
y1(len)=[];( J a( w7 ]0 G
end- D) |1 [. B0 [: u/ E6 W' P4 }; w7 a
if length(y1)>=2+ @( V9 J( \6 H# b6 v7 Q0 J, D
for i=0:2:length(y1)-25 Q2 a) l1 m% E$ @' g& W
if opts==0
! P* C5 ~/ {- f5 D U [NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=EqualCrossOver(OldPop(y1(i+1),:),OldPop(y1(i+2),:));( o3 ~# P/ C/ f7 f0 b
else
) O8 @ q" z3 `5 c7 c/ V [NewPop(y1(i+1),:),NewPop(y1(i+2),:)]=MultiPointCross(OldPop(y1(i+1),:),OldPop(y1(i+2),:));
& p# {+ D: E5 r. q end
2 ?3 A: {5 B2 F1 D6 t; k0 [$ l end 9 }' [# N9 A# P3 ~+ q
end
* L. {% _8 f' k7 e% M9 V8 d2 _NewPop(y2,:)=OldPop(y2,:);
# K8 L3 A8 \" n% w0 h$ G. t& x7 l- f- A5 W$ C
%采用均匀交叉
. c) Q0 E. ?8 w$ D5 F6 t( Jfunction [children1,children2]=EqualCrossOver(parent1,parent2)
5 a) G" b9 U- W5 X% ?7 t# b2 \( T3 B/ R% z$ A9 D2 W9 Q8 t
global n children1 children2
& t1 G: S: o8 z# [* |hidecode=round(rand(1,n));%随机生成掩码
, @" t3 ]+ @9 lcrossposition=find(hidecode==1);. k0 }- j4 A5 Y- d* E+ H
holdposition=find(hidecode==0);
$ ~3 M1 o) {1 Z- ^! e# t0 P* {+ X% ^children1(crossposition)=parent1(crossposition);%掩码为1,父1为子1提供基因
6 u% N& j3 T8 j, ~( T5 O& O' _3 ^children1(holdposition)=parent2(holdposition);%掩码为0,父2为子1提供基因
3 t0 s H, s/ c0 m' b$ zchildren2(crossposition)=parent2(crossposition);%掩码为1,父2为子2提供基因5 V/ |2 D3 J/ q1 B; K$ y
children2(holdposition)=parent1(holdposition);%掩码为0,父1为子2提供基因
l2 e) ?5 g, C
& f1 h. v4 d- `# n%采用多点交叉,交叉点数由变量数决定8 e( R+ N8 w ^( @' l
! ^5 X. f& w( S! Lfunction [Children1,Children2]=MultiPointCross(Parent1,Parent2)/ X; r* L" Y9 r+ _% s( w9 ]
( u0 n' V; B3 A+ @6 p
global n Children1 Children2 VarNum+ e; v) x) g# x0 h7 X5 \, v2 @9 M
Children1=Parent1;
* G8 N1 v0 U" V. x2 OChildren2=Parent2;
2 M! P% n* \" a9 gPoints=sort(unidrnd(n,1,2*VarNum));
3 ? M% @0 A* pfor i=1:VarNum
) j) b8 x3 O9 b, A/ \ Children1(Points(2*i-1):Points(2*i))=Parent2(Points(2*i-1):Points(2*i));
$ P4 C9 e, b% m; N1 f' {/ n) E8 w Children2(Points(2*i-1):Points(2*i))=Parent1(Points(2*i-1):Points(2*i));
, A/ y5 \* i! t4 q0 R Yend
( [. ^% c9 X$ z% }9 q# y4 w9 x: [: _) w' ^2 }
%变异操作
5 p4 Z4 C' [2 x- H: efunction [NewPop]=Mutation(OldPop,pMutation,VarNum)9 W, E* f2 H5 s, X& d" ?
0 \1 S4 O0 _4 C$ K" [global m n NewPop' B6 N' K( n% R% ?, W% o' Z4 g8 O
r=rand(1,m);" h7 \4 ]$ J0 @8 e0 N) p6 Q
position=find(r<=pMutation);: B) y/ d2 A, [# x6 G
len=length(position);
# ~: G! n: L9 n6 oif len>=1
' F- n. c1 |" |! u* L/ h3 I6 O4 I for i=1:len0 U- o) u+ I/ O* A: Z5 i% n; z
k=unidrnd(n,1,VarNum); %设置变异点数,一般设置1点$ ~0 }1 d; ?1 d J7 c3 r9 |4 S
for j=1:length(k)
( P0 P( r! D" L if OldPop(position(i),k(j))==1
) z; V( d) |: L! ^4 Q6 g OldPop(position(i),k(j))=0;% F7 t. F2 L/ T- ]* s! ~5 L0 i
else
6 v w# Z" H- r7 E3 i7 E OldPop(position(i),k(j))=1;
8 y# {2 E2 u5 u) w; Y) s end
1 G) N9 l3 I; g( Z end, {! V8 X8 m% F: [2 Y& P
end2 k# t$ ?8 M) p' b, W/ t
end: k! b& n0 W' N( e# ^
NewPop=OldPop;& P# r& o3 J: g3 ~" M
7 c4 u. C4 |$ m! G% [
%倒位操作
& X: h7 v/ F2 u8 S j8 k6 D2 x6 X! Y* x
function [NewPop]=Inversion(OldPop,pInversion)4 f; W% {5 k# w2 d
, r5 u3 t6 X3 ~$ ^0 t+ C! _
global m n NewPop
" _5 i5 |* I2 oNewPop=OldPop;
9 V* M5 @) L" K$ m3 b2 r: hr=rand(1,m);
5 [: Y* g1 f3 c% B! s/ Y" m @. UPopIn=find(r<=pInversion);
* J+ X# w+ k0 a" F7 D) Flen=length(PopIn);7 b! ?+ @" F5 U+ w
if len>=1
9 e/ Z9 a) e; C; w! D for i=1:len
$ v8 P* @8 y7 d4 G d=sort(unidrnd(n,1,2));1 D C5 x) j9 D/ x. [! z6 z6 U
if d(1)~=1&d(2)~=n0 }, c: C# F0 k9 H* f0 }) K
NewPop(PopIn(i),1:d(1)-1)=OldPop(PopIn(i),1:d(1)-1);6 `0 ? C$ T. h( y7 l: B
NewPop(PopIn(i),d(1):d(2))=OldPop(PopIn(i),d(2):-1:d(1));2 v M$ I$ t7 U# k
NewPop(PopIn(i),d(2)+1:n)=OldPop(PopIn(i),d(2)+1:n);
7 o5 S, Q" x) b, e- K( y# a end3 {' {) @- O* Y
end
6 T( @2 d! h3 J" V7 m- pend0 Z# ~) H& U" m) C7 |
4 w- I1 f5 I) h% `3 p D5 p& j
七 径向基神经网络训练程序3 v2 Z ?, c1 H X
% t- u6 Z& w& E6 R4 Q. \
clear all;
/ L% k0 c; Y( y# C2 @clc;
# t" l5 X( r }( D/ j( T# C%newrb 建立一个径向基函数神经网络
: V5 O, @, { vp=0:0.1:1; %输入矢量
/ K% G1 F7 ~2 Q* ^( W' q$ kt=[0 -1 0 1 1 0 -1 0 0 1 1 ];%目标矢量
: W. }. m/ r0 X* s! \goal=0.01; %误差8 C( j$ S, v, i3 u4 [) L/ p
sp=1; %扩展常数; ^) h) b% o. Z& ]+ C/ n. e8 Q- E0 L' k
mn=100;%神经元的最多个数5 w( A3 L% _! s' ]* c O0 n
df=1; %训练过程的显示频率" G8 M; H" M+ t& d' P9 j, K
[net,tr]=newrb(p,t,goal,sp,mn,df); %创建一个径向基函数网络. |! _+ B6 |1 C! C3 `; ]
% [net,tr]=train(net,p); %调用traingdm算法训练网络0 G( u& n# P# \+ s
%对网络进行仿真,并绘制样本数据和网络输出图形5 G& b. e6 l( {* m5 R" ?" t
A=sim(net,p);
: A3 V( U5 n T. ~6 W: V( p8 i$ X) GE=t-A;
2 r* a* k" [/ [6 n1 [7 \5 {sse=sse(E);
* z) P# J" e; k( Efigure; 0 ~3 w9 z1 y, Z1 K% E
plot(p,t,'r-+',p,A,'b-*');
/ C1 B: U8 K2 [) w4 Y: wlegend('输入数据曲线','训练输出曲线');; U( [$ s. i$ V, }( U& R
echo off
- E/ I; \; b0 e8 R0 c
0 h3 a" a8 {% @ |说明:newrb函数本来 在创建新的网络的时候就进行了训练!. s2 z$ A- _: L* G# V4 O3 ~9 u' f
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- r; f* a5 q# J: F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!
7 o4 X# I& ]$ a# l1 @
- p6 E) U9 _! r, h+ F0 n( ^9 ]6 n
训练结果显示:8 U8 s; P6 g& w* a1 I) `
NEWRB, neurons = 0, SSE = 5.0973' z$ U0 b' O Y! Q* Q1 Q1 M
NEWRB, neurons = 2, SSE = 4.871391 T( M( q9 |8 M' b+ W# p
NEWRB, neurons = 3, SSE = 3.61176
n. {/ }% q2 c) R( U* vNEWRB, neurons = 4, SSE = 3.4875
# D2 [4 K, U' z6 D, K7 ENEWRB, neurons = 5, SSE = 0.534217& y. K! P; a* r! c2 I% x' Q
NEWRB, neurons = 6, SSE = 0.51785
6 G* _0 h' [# H. BNEWRB, neurons = 7, SSE = 0.434259
" \) V( ^: w6 j) wNEWRB, neurons = 8, SSE = 0.341518
5 J2 ~; Y( _; h$ g; l1 ?7 Q# w* FNEWRB, neurons = 9, SSE = 0.341519
% s: H/ n& n2 V' fNEWRB, neurons = 10, SSE = 0.00257832
& ~9 m" {/ Y4 S- M
2 z& j P W# V8 P" l& }! |八 删除当前路径下所有的带后缀.asv的文件
# {$ Q4 f% D. w说明:该程序具有很好的移植性,用户可以根据自己地
2 s' P1 F% F( u4 `; L8 k1 w$ J要求修改程序,删除不同后缀类型的文件! # C1 F8 p5 g$ e( z0 q
function delete_asv(bpath) 9 [- ~7 @0 \+ V) C; b
%If bpath is not specified,it lists all the asv files in the current
& o+ K* c' ^' M O" j%directory and will delete all the file with asv + K0 {( O# k3 l: u" P k, B
% Example:8 T4 b3 e) j' W. m& f: a
% delete_asv('*.asv') will delete the file with name *.asv;
4 w, Y0 T: F7 j1 e! S: {' `9 G1 b% delete_asv will delete all the file with .asv.
3 v# D8 N; n* r( s* q/ e6 J+ z! w. x3 X) }4 C
if nargin < 1
1 S2 E4 o" {. Z* m0 z% r%list all the asv file in the current directory
, e& D$ g& F; `2 x9 @ files=dir('*.asv');
& B& C5 J! O# p- ]$ r4 zelse6 B- m# |! p2 c
% find the exact file in the path of bpath6 X, [, {" c$ r+ s: ?2 V# G
[pathstr,name] = fileparts(bpath);
+ {7 W) l$ b$ ~ if exist(bpath,'dir')
6 w2 u$ f0 \. I; e1 D name = [name '\*'];
/ J3 r) c& T% G end# [' J, U: m0 H1 A" Q6 N& P; d
ext = '.asv';( [; Z# t0 r1 L( n1 @
files=dir(fullfile(pathstr,[name ext]));) L- ?4 a* |; \
end
i' X) e6 C, }7 x1 @# ^2 E3 z, B% D+ y7 g3 ^. S9 U8 X8 @
if ~isempty(files)
/ s. t2 ^0 U* w& q3 B$ y& I( a for i=1:size(files,1)
* R" l. M" W% V1 V/ k title=files(i).name;
6 K; Z$ b7 A0 Y; Q( S delete(title);# \ V( y7 o/ E, x# s+ h2 x# u
end
7 B- A, @, _( Eend
" X: C0 N1 b0 X& z& h% T
! C6 H$ X- t, R, L+ I. j( Q4 s) u3 Q; d2 w
同样也可以在Matlab的窗口设置中取消保存.asv文件!
* N1 ]# X/ N; X: B5 ] |
zan
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