%?LOGSIG?function?is?used?in?hidden?layer;
%?PURELIN?function?is?used?in?the?output?layer
function[convergenceave_errmax_errresultvwThres_bThres_c]=bp_logsig_lin（inputsoutputsNum_hidAlphaBetaerrmax_stop）

%?Backpropagation?Algorithm

%?Input?arguments:
%?inputs?-?a?matrix?of?dimension?（samples?x?n）
%?outputs?-?a?matrix?of?dimension?（samples?x?q）
%?Num_hid?-?number?of?hidden?units?（i.e.?p）
%?Alpha?-?learning?rate?between?the?output?and?hidden?layer
%?Beta?-?learning?rate?between?the?input?and?hidden?layer
%?err?-?error?for?the?stopping?criterion
%?max_stop?-?maximum?number?of?iterations

%?Output?arguments:
%?convergence?-?a?vector?of?dimension?1?x?max_stop?containing?the?ave_error?at?each?iteration
%?ave_err?-?average?error?at?the?output
%?max_err?-?maximum?error?at?the?output
%?result?-?a?matrix?of?dimension?（samples?x?3）
%?The?three?columns?give?inputs?desired?outputs?and?NN?outputs

%?First?the?dimension?of?the?input?and?output?matrices?are?checked
disp（‘Demo?on?Backpropagation?Algorithm?by?Dr.?G.?Pang‘）
[Num_examplesNum_in]=size（inputs）;
[tmpNum_out]=size（outputs）;
if?（Num_examples?~=?tmp）
disp（‘Number?of?input-output?training?examples?not?the?same‘）end

%?Initize?the?convergence?vector
convergence?=?zeros（1max_stop）;

%?Initial?weights?are?randomly?selectly?from?[-0.50.5];
%?The?“rand“?command?gives?a?value?between?0?and?1.
k=0.5;
v=rand（Num_inNum_hid）-k*ones（Num_inNum_hid）;
w=rand（Num_hidNum_out）-k*ones（Num_hidNum_out）;
Thres_b?=rand（1Num_hid）-k*ones（1Num_hid）;
Thres_c?=rand（1Num_out）-k*ones（1Num_out）;

%?This?is?the?main?loop?of?the?program
iterations?=?0;?max_err?=?1000;

%?Continue?the?WHILE?loop?ONLY?if?BOTH?criteria?are?true.?That?is
%?（a）?the?max_err?is?larger?than?the?desired?max.?error?amount?AND
%?（b）?the?number?of?interations?is?still?less?than?the?maximum?number?of?iterations
while?（max_err?>=?err?&?iterations?iterations?=?iterations?+?1;
for?N=1:Num_examples
????
%?a?and?ck?is?the?N-th?pair?of?training?example
a?=?inputs（N:）;
ck?=?outputs（N:）;

%?Get?all?the?b‘s?（outputs?from?the?hidden?layer）?LOGSIG?function
for?i=1:Num_hid
b（1i）=logsig（?a*v（:i）+Thres_b（i））;
end

%?Get?all?the?c‘s?（outputs?from?the?output?layer）?PURELIN?function
for?j=1:Num_out
c（1j）?=?b*w（:j）+Thres_c（j）;
end

%?Compute?the?error?at?the?outputs?（d）
for?j=1:Num_out
d（1j）?=?ck（j）-c（j）;
end

%?Computer?the?e‘s?（the?errors?at?the?hidden?layer?relative?to?each?d
for?i?=?1:Num_hid
e（1i）?=?b（i）*（1-b（i））*（w（i:）*d‘）;
end

%?Adjust?the?weights?between?the?hidden?and?output?layers
for?i?=?1:Num_hid
for?j?=?1:Num_out
w（ij）?=?w（ij）?+?Alpha*b（i）*d（j）;
end
end


%?Adjust?the?thresholds?at?the?output?layer
for?j?=?1:Num_out
Thres_c（j）?=?Thres_c（j）?+?Alpha*d（j）;
end

%?Adjust?the?weights?between?the?hidden?and?input?layers
for?i?=?1:Num_in
for?j?=?1:Num_hid
v（ij）?=?v（ij）?+?Beta*a（i）*e（j）;
end
end

%?Adjust?the?thresholds?

?屬性????????????大小?????日期????時(shí)間???名稱
-----------?---------??----------?-----??----
?????文件????????4595??2017-02-24?11:50??bp_logsig_lin.m
?????目錄???????????0??2017-01-13?14:38??Class03b?ANN?assignment\
?????目錄???????????0??2017-03-01?22:40??Class03b?ANN?assignment\numS\
?????目錄???????????0??2017-03-01?22:26??Class03b?ANN?assignment\numSnoise\
?????文件?????????694??2005-09-23?01:03??Class03b?ANN?assignment\numSnoise\0numSn.bmp
?????文件?????????694??2005-09-25?15:27??Class03b?ANN?assignment\numSnoise\1numSn.bmp
?????文件?????????694??2005-09-23?01:05??Class03b?ANN?assignment\numSnoise\2numSn.bmp
?????文件?????????694??2005-09-23?01:06??Class03b?ANN?assignment\numSnoise\3numSn.bmp
?????文件?????????694??2005-09-23?01:07??Class03b?ANN?assignment\numSnoise\4numSn.bmp
?????文件?????????694??2005-09-23?01:07??Class03b?ANN?assignment\numSnoise\5numSn.bmp
?????文件?????????694??2005-09-23?01:08??Class03b?ANN?assignment\numSnoise\6numSn.bmp
?????文件?????????694??2005-09-23?01:11??Class03b?ANN?assignment\numSnoise\7numSn.bmp
?????文件?????????694??2005-09-23?01:11??Class03b?ANN?assignment\numSnoise\8numSn.bmp
?????文件?????????694??2005-09-23?01:02??Class03b?ANN?assignment\numSnoise\9numSn.bmp
?????文件????????5601??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A1.mat
?????文件????????6589??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A2.mat
?????文件????????8377??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A3.mat
?????文件???????11562??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A4.mat
?????文件???????14434??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A5.mat
?????文件???????23879??2017-03-01?15:06??Class03b?ANN?assignment\numSnoise\A6.mat
?????文件????????7057??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa1.mat
?????文件????????9242??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa2.mat
?????文件???????12950??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa3.mat
?????文件???????20411??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa4.mat
?????文件???????27853??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa5.mat
?????文件???????50471??2017-03-01?15:56??Class03b?ANN?assignment\numSnoise\Aa6.mat
?????文件???????11429??2017-03-01?22:22??Class03b?ANN?assignment\numSnoise\C1.mat
?????文件???????21386??2017-03-01?22:22??Class03b?ANN?assignment\numSnoise\C2.mat
?????文件???????36590??2017-03-01?22:22??Class03b?ANN?assignment\numSnoise\C3.mat
?????文件???????67607??2017-03-01?22:22??Class03b?ANN?assignment\numSnoise\C4.mat
?????文件???????98392??2017-03-01?22:22??Class03b?ANN?assignment\numSnoise\C5.mat
............此處省略136個(gè)文件信息