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Norbert Marwan
CRP Toolbox for MATLAB
Commits
df3d0923
Commit
df3d0923
authored
17 years ago
by
marwan
Browse files
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speed enhanced
parent
6f033ff6
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Changes
1
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1 changed file
mi.m
+168
-157
168 additions, 157 deletions
mi.m
with
168 additions
and
157 deletions
mi.m
+
168
−
157
View file @
df3d0923
...
@@ -36,7 +36,7 @@ function varargout=mi(varargin)
...
@@ -36,7 +36,7 @@ function varargout=mi(varargin)
% Examples: x = sin(0:.2:8*pi)' + .1*randn(126,1);
% Examples: x = sin(0:.2:8*pi)' + .1*randn(126,1);
% mi(x,40,100)
% mi(x,40,100)
%
%
% See also HIST2, HISTN, ENTROPY.
% See also HIST2, HISTN, ENTROPY
, MIGRAM
.
%
%
% References:
% References:
% Roulston, M. S.:
% Roulston, M. S.:
...
@@ -51,6 +51,9 @@ function varargout=mi(varargin)
...
@@ -51,6 +51,9 @@ function varargout=mi(varargin)
% $Revision$
% $Revision$
%
%
% $Log$
% $Log$
% Revision 3.10 2006/03/29 13:07:55 marwan
% problems regarding OPRPs and embedding resolved
%
% Revision 3.9 2006/02/14 11:46:15 marwan
% Revision 3.9 2006/02/14 11:46:15 marwan
% *** empty log message ***
% *** empty log message ***
%
%
...
@@ -73,7 +76,6 @@ function varargout=mi(varargin)
...
@@ -73,7 +76,6 @@ function varargout=mi(varargin)
global
props
global
props
init_properties
init_properties
action
=
''
;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% check the input
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% check the input
...
@@ -85,7 +87,7 @@ if nargout>2, error('Too many output arguments'), end
...
@@ -85,7 +87,7 @@ if nargout>2, error('Too many output arguments'), end
splash_gpl
(
'mi'
);
splash_gpl
(
'mi'
);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% error control
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% error control
try
%
try
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% read the input
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% read the input
...
@@ -95,11 +97,13 @@ delete(findobj('Tag','msgbox'))
...
@@ -95,11 +97,13 @@ delete(findobj('Tag','msgbox'))
nogui
=
0
;
nogui
=
0
;
lag
=
[];
lag
=
[];
nbin
=
10
;
nbin
=
10
;
x
=
{};
sum_m
=
0
;
sm_length
=
[];
x
=
{};
sm_length
=
[];
if
nargin
&
isnumeric
(
varargin
{
1
})
if
nargin
&&
isnumeric
(
varargin
{
1
})
sum_m
=
0
;
for
i
=
1
:
nargin
for
i
=
1
:
nargin
if
isnumeric
(
varargin
{
i
})
&
max
(
size
(
varargin
{
i
}))
>
1
if
isnumeric
(
varargin
{
i
})
&
&
max
(
size
(
varargin
{
i
}))
>
1
y
=
varargin
{
i
};
y
=
varargin
{
i
};
if
size
(
y
,
1
)
==
1
,
y
=
y
'
;
end
if
size
(
y
,
1
)
==
1
,
y
=
y
'
;
end
my
=
size
(
y
,
2
);
sum_m
=
sum_m
+
my
;
my
=
size
(
y
,
2
);
sum_m
=
sum_m
+
my
;
...
@@ -109,7 +113,7 @@ if nargin & isnumeric(varargin{1})
...
@@ -109,7 +113,7 @@ if nargin & isnumeric(varargin{1})
x
(
i
)
=
{
y
};
x
(
i
)
=
{
y
};
end
end
end
end
m
=
size
(
x
,
2
);
if
sum_m
==
1
;
lag
=
0
;
x
(
2
)
=
x
(
1
);
sum_m
=
2
;
m
=
2
;
end
m
=
size
(
x
,
2
);
if
sum_m
==
1
;
lag
=
0
;
x
(
2
)
=
x
(
1
);
m
=
2
;
end
if
isempty
(
x
),
error
(
'Not a valid input vector.'
),
end
if
isempty
(
x
),
error
(
'Not a valid input vector.'
),
end
i_double
=
find
(
cellfun
(
'isclass'
,
varargin
,
'double'
));
i_double
=
find
(
cellfun
(
'isclass'
,
varargin
,
'double'
));
...
@@ -139,15 +143,15 @@ if nargin & isnumeric(varargin{1})
...
@@ -139,15 +143,15 @@ if nargin & isnumeric(varargin{1})
nogui
=-
1
;
nogui
=-
1
;
end
end
end
end
if
nargout
&
(
nogui
<
1
)
if
nargout
&
&
(
nogui
<
1
)
nogui
=
1
;
nogui
=
1
;
action
=
'compute'
;
action
=
'compute'
;
end
end
if
nogui
==-
1
;
nogui
=
0
;
end
if
nogui
==-
1
;
nogui
=
0
;
end
elseif
nargin
&
ischar
(
varargin
{
1
})
&
~
isempty
(
varargin
{
1
})
elseif
nargin
&
&
ischar
(
varargin
{
1
})
&
&
~
isempty
(
varargin
{
1
})
if
isempty
(
findobj
(
'Tag'
,
'MI_Fig'
))
&
isempty
(
findobj
(
'Tag'
,
'MI_Fig'
))
if
isempty
(
findobj
(
'Tag'
,
'MI_Fig'
))
&
&
isempty
(
findobj
(
'Tag'
,
'MI_Fig'
))
% h=errordlg('Start the programme with mi(vector,vector).');
% h=errordlg('Start the programme with mi(vector,vector).');
% set(h,'Tag','msgbox')
% set(h,'Tag','msgbox')
action
=
'end'
;
action
=
'end'
;
...
@@ -156,17 +160,17 @@ elseif nargin & ischar(varargin{1}) & ~isempty(varargin{1})
...
@@ -156,17 +160,17 @@ elseif nargin & ischar(varargin{1}) & ~isempty(varargin{1})
h
=
findobj
(
'Tag'
,
'MI_Fig'
);
h
=
findobj
(
'Tag'
,
'MI_Fig'
);
x
=
get
(
h
(
1
),
'UserData'
);
x
=
get
(
h
(
1
),
'UserData'
);
h
=
findobj
(
'Tag'
,
'nBin'
);
h
=
findobj
(
'Tag'
,
'nBin'
);
nbin
=
str2
num
(
get
(
h
(
1
),
'String'
));
nbin
=
str2
double
(
get
(
h
(
1
),
'String'
));
m
=
size
(
x
,
2
);
m
=
size
(
x
,
2
);
h
=
findobj
(
'Tag'
,
'maxLag'
);
h
=
findobj
(
'Tag'
,
'maxLag'
);
lag
=
str2
num
(
get
(
h
(
1
),
'String'
));
lag
=
str2
double
(
get
(
h
(
1
),
'String'
));
end
end
else
else
action
=
'init'
;
action
=
'init'
;
end
end
if
~
nargin
if
~
nargin
x
=
{
sin
(
0
:
.
2
:
8
*
pi
)
'+.
1
*
randn
(
126
,
1
)};
x
(
2
)
=
x
;
m
=
2
;
sum_m
=
2
;
x
=
{
sin
(
0
:
.
2
:
8
*
pi
)
'+.
1
*
randn
(
126
,
1
)};
x
(
2
)
=
x
;
m
=
2
;
nbin
=
10
;
nbin
=
10
;
lag
=
40
;
lag
=
40
;
nogui
=
0
;
nogui
=
0
;
...
@@ -197,11 +201,11 @@ case 'init'
...
@@ -197,11 +201,11 @@ case 'init'
h
=
findobj
(
'Label'
,
'&Help'
,
'Type'
,
'uimenu'
);
h
=
findobj
(
'Label'
,
'&Help'
,
'Type'
,
'uimenu'
);
if
isempty
(
h
)
if
isempty
(
h
)
h
=
uimenu
(
'Label'
,
'&Help'
);
h
=
uimenu
(
'Label'
,
'&Help'
);
h2
=
uimenu
(
'Parent'
,
h
(
1
),
'Label'
,
'&Help Mutual Information'
,
'Callback'
,
'helpwin mi'
);
uimenu
(
'Parent'
,
h
(
1
),
'Label'
,
'&Help Mutual Information'
,
'Callback'
,
'helpwin mi'
);
else
else
h1
=
flipud
(
get
(
h
(
1
),
'Children'
));
h1
=
flipud
(
get
(
h
(
1
),
'Children'
));
set
(
h1
(
1
),
'Separator'
,
'on'
)
set
(
h1
(
1
),
'Separator'
,
'on'
)
h2
=
uimenu
(
'Parent'
,
h
(
1
),
'Label'
,
'&Help Mutual Information'
,
'Callback'
,
'helpwin mi'
);
uimenu
(
'Parent'
,
h
(
1
),
'Label'
,
'&Help Mutual Information'
,
'Callback'
,
'helpwin mi'
);
copyobj
(
h1
,
h
(
1
))
copyobj
(
h1
,
h
(
1
))
delete
(
h1
)
delete
(
h1
)
end
end
...
@@ -219,59 +223,59 @@ case 'init'
...
@@ -219,59 +223,59 @@ case 'init'
h2
=
textwrap
(
h
,{[
char
(
169
),
' AGNLD'
],
'University of Potsdam'
,
'2002-2006'
});
h2
=
textwrap
(
h
,{[
char
(
169
),
' AGNLD'
],
'University of Potsdam'
,
'2002-2006'
});
set
(
h
,
'String'
,
h2
)
set
(
h
,
'String'
,
h2
)
h
=
axes
(
props
.
axes
,
...
axes
(
props
.
axes
,
...
'Tag'
,
'mi_axes'
,
...
'Tag'
,
'mi_axes'
,
...
'Box'
,
'On'
,
...
'Box'
,
'On'
,
...
'Position'
,[
9
3.5
72.8333
23.0714
]);
'Position'
,[
9
3.5
72.8333
23.0714
]);
h
=
uicontrol
(
props
.
frame
,
...
uicontrol
(
props
.
frame
,
...
'Tag'
,
'frame'
,
...
'Tag'
,
'frame'
,
...
'Position'
,[
91.5000
1.3571
23.5000
20.7857
]);
'Position'
,[
91.5000
1.3571
23.5000
20.7857
]);
h
=
uicontrol
(
props
.
text
,
...
uicontrol
(
props
.
text
,
...
'Tag'
,
'text'
,
...
'Tag'
,
'text'
,
...
'String'
,
'Number of bins'
,
...
'String'
,
'Number of bins'
,
...
'Position'
,[
93.8333
20
17.8333
1.5000
]);
'Position'
,[
93.8333
20
17.8333
1.5000
]);
h
=
uicontrol
(
props
.
edit
,
...
uicontrol
(
props
.
edit
,
...
'Tag'
,
'nBin'
,
...
'Tag'
,
'nBin'
,
...
'String'
,
num2str
(
nbin
),
...
'String'
,
num2str
(
nbin
),
...
'ToolTip'
,
'Number of bins for estimation of the probability function.'
,
...
'ToolTip'
,
'Number of bins for estimation of the probability function.'
,
...
'Position'
,[
93.8333
18.5714
17.8333
1.5000
]);
'Position'
,[
93.8333
18.5714
17.8333
1.5000
]);
h
=
uicontrol
(
props
.
text
,
...
uicontrol
(
props
.
text
,
...
'Tag'
,
'text'
,
...
'Tag'
,
'text'
,
...
'String'
,
'max. Lag'
,
...
'String'
,
'max. Lag'
,
...
'Position'
,[
93.8333
16.5
17.8333
1.5000
]);
'Position'
,[
93.8333
16.5
17.8333
1.5000
]);
h
=
uicontrol
(
props
.
edit
,
...
uicontrol
(
props
.
edit
,
...
'Tag'
,
'maxLag'
,
...
'Tag'
,
'maxLag'
,
...
'String'
,
num2str
(
lag
),
...
'String'
,
num2str
(
lag
),
...
'ToolTip'
,
'Maximal lag.'
,
...
'ToolTip'
,
'Maximal lag.'
,
...
'Position'
,[
93.8333
15.0714
17.8333
1.5000
]);
'Position'
,[
93.8333
15.0714
17.8333
1.5000
]);
h
=
uicontrol
(
props
.
text
,
...
uicontrol
(
props
.
text
,
...
'Tag'
,
'text_show'
,
...
'Tag'
,
'text_show'
,
...
'String'
,
'Show components'
,
...
'String'
,
'Show components'
,
...
'Enable'
,
'off'
,
...
'Enable'
,
'off'
,
...
'Position'
,[
93.8333
12.5
21.8333
1.5000
]);
'Position'
,[
93.8333
12.5
21.8333
1.5000
]);
h
=
uicontrol
(
props
.
popup
,
...
uicontrol
(
props
.
popup
,
...
'Tag'
,
'edit_show1'
,
...
'Tag'
,
'edit_show1'
,
...
'String'
,
'1|2'
,
...
'String'
,
'1|2'
,
...
'Enable'
,
'off'
,
...
'Enable'
,
'off'
,
...
'Callback'
,
'mi plot_mi'
,
...
'Callback'
,
'mi plot_mi'
,
...
'Position'
,[
93.8333
11.0714
7
1.5000
]);
'Position'
,[
93.8333
11.0714
7
1.5000
]);
h
=
uicontrol
(
props
.
text
,
...
uicontrol
(
props
.
text
,
...
'Tag'
,
'text_show'
,
...
'Tag'
,
'text_show'
,
...
'String'
,
'vs.'
,
...
'String'
,
'vs.'
,
...
'Enable'
,
'off'
,
...
'Enable'
,
'off'
,
...
'HorizontalAlign'
,
'center'
,
...
'HorizontalAlign'
,
'center'
,
...
'Position'
,[
101.24995
11.0714
-.
2
4
1.5000
]);
'Position'
,[
101.24995
11.0714
-.
2
4
1.5000
]);
h
=
uicontrol
(
props
.
popup
,
...
uicontrol
(
props
.
popup
,
...
'Tag'
,
'edit_show2'
,
...
'Tag'
,
'edit_show2'
,
...
'String'
,
'1|2'
,
...
'String'
,
'1|2'
,
...
'Callback'
,
'mi plot_mi'
,
...
'Callback'
,
'mi plot_mi'
,
...
...
@@ -279,7 +283,7 @@ case 'init'
...
@@ -279,7 +283,7 @@ case 'init'
'Position'
,[
105.6666
11.0714
7
1.5000
]);
'Position'
,[
105.6666
11.0714
7
1.5000
]);
h
=
uicontrol
(
props
.
button
,
...
uicontrol
(
props
.
button
,
...
'String'
,
'Store'
,
...
'String'
,
'Store'
,
...
'Tag'
,
'button_store'
,
...
'Tag'
,
'button_store'
,
...
'Enable'
,
'Off'
,
...
'Enable'
,
'Off'
,
...
...
@@ -287,21 +291,21 @@ case 'init'
...
@@ -287,21 +291,21 @@ case 'init'
'Callback'
,
'mi store'
,
...
'Callback'
,
'mi store'
,
...
'Position'
,[
103.8666
8.2143
8.8
2.2143
]);
'Position'
,[
103.8666
8.2143
8.8
2.2143
]);
h
=
uicontrol
(
props
.
button
,
...
uicontrol
(
props
.
button
,
...
'Tag'
,
'button_print'
,
...
'Tag'
,
'button_print'
,
...
'CallBack'
,
'mi print'
,
...
'CallBack'
,
'mi print'
,
...
'ToolTip'
,
'Prints the MI window.'
,
...
'ToolTip'
,
'Prints the MI window.'
,
...
'String'
,
'Print'
,
...
'String'
,
'Print'
,
...
'Position'
,[
93.8333
8.2143
8.8
2.2143
]);
'Position'
,[
93.8333
8.2143
8.8
2.2143
]);
h
=
uicontrol
(
props
.
button
,
...
uicontrol
(
props
.
button
,
...
'Tag'
,
'button_close'
,
...
'Tag'
,
'button_close'
,
...
'CallBack'
,
'mi close'
,
...
'CallBack'
,
'mi close'
,
...
'ToolTip'
,
'Closes the MI window.'
,
...
'ToolTip'
,
'Closes the MI window.'
,
...
'String'
,
'Close'
,
...
'String'
,
'Close'
,
...
'Position'
,[
93.8333
2.6429
18.8333
2.2143
]);
'Position'
,[
93.8333
2.6429
18.8333
2.2143
]);
h
=
uicontrol
(
props
.
button
,
...
uicontrol
(
props
.
button
,
...
'String'
,
'Apply'
,
...
'String'
,
'Apply'
,
...
'Tag'
,
'button_apply'
,
...
'Tag'
,
'button_apply'
,
...
'ToolTip'
,
'Starts the computation.'
,
...
'ToolTip'
,
'Starts the computation.'
,
...
...
@@ -380,6 +384,9 @@ case 'store'
...
@@ -380,6 +384,9 @@ case 'store'
case
'compute'
case
'compute'
warning
off
warning
off
MI
=
zeros
(
m
,
m
,
lag
);
MI_sigma
=
zeros
(
m
,
m
,
lag
);
if
~
nogui
if
~
nogui
h_fig
=
findobj
(
'tag'
,
'MI_Fig'
);
h_fig
=
findobj
(
'tag'
,
'MI_Fig'
);
setptr
(
gcf
,
'watch'
),
setptr
(
gcf
,
'watch'
),
...
@@ -396,82 +403,83 @@ case 'compute'
...
@@ -396,82 +403,83 @@ case 'compute'
if
nogui
~=
2
;
hw
=
waitbar
(
0
,
'Estimation progress'
);
end
if
nogui
~=
2
;
hw
=
waitbar
(
0
,
'Estimation progress'
);
end
for
t
=
0
:
lag
,
for
t
=
0
:
lag
,
if
~
nogui
if
~
nogui
set
(
0
,
'ShowHidden'
,
'on'
)
set
(
0
,
'ShowHidden'
,
'on'
)
h
=
findobj
(
'tag'
,
'button_apply'
,
'Parent'
,
h_fig
(
1
));
h
=
findobj
(
'tag'
,
'button_apply'
,
'Parent'
,
h_fig
(
1
));
if
strcmpi
(
get
(
h
(
1
),
'string'
),
'stopped'
)
if
strcmpi
(
get
(
h
(
1
),
'string'
),
'stopped'
)
MI
((
t
:
lag
)
+
1
,
1
)
=
NaN
;
MI
((
t
:
lag
)
+
1
,
1
)
=
NaN
;
MI_sigma
((
t
:
lag
)
+
1
,
1
)
=
NaN
;
MI_sigma
((
t
:
lag
)
+
1
,
1
)
=
NaN
;
break
break
end
end
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the distributions
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the distributions
for
k
=
1
:
m
;
for
l
=
1
:
m
;
for
k
=
1
:
m
;
P2
=
histn
(
x
{
k
},
x
{
l
},
nbin
,
t
,
'silent'
);
% 2D distribution
for
l
=
1
:
m
;
mP
=
length
(
size
(
P2
));
P2
=
hist2
(
x
{
k
},
x
{
l
},
nbin
,
t
,
'silent'
);
% 2D distribution
if
sum
(
~
P2
(:))/
prod
(
size
(
P2
))
>
0.99
mP
=
length
(
size
(
P2
));
warning
on
if
sum
(
~
P2
(:))/
numel
(
P2
)
>
0.99
warning
(
'Too less data points for the estimation of the joint distribution.'
);
warning
on
MI
(
k
,
l
,(
t
:
lag
)
+
1
)
=
NaN
;
warning
(
'Too less data points for the estimation of the joint distribution.'
);
MI_sigma
(
k
,
l
,(
t
:
lag
)
+
1
)
=
NaN
;
MI
(
k
,
l
,(
t
:
lag
)
+
1
)
=
NaN
;
if
~
nogui
,
MI_sigma
(
k
,
l
,(
t
:
lag
)
+
1
)
=
NaN
;
h
=
findobj
(
'tag'
,
'button_apply'
);
if
~
nogui
,
set
(
h
(
1
),
'ToolTip'
,
'Starts the computation.'
,
'String'
,
'Apply'
,
'Callback'
,
'mi compute'
)
h
=
findobj
(
'tag'
,
'button_apply'
);
for
j
=
1
:
length
(
obj
);
set
(
h
(
1
),
'ToolTip'
,
'Starts the computation.'
,
'String'
,
'Apply'
,
'Callback'
,
'mi compute'
)
h
=
findobj
(
'Tag'
,
obj
{
j
},
'Parent'
,
h_fig
(
1
));
for
j
=
1
:
length
(
obj
);
if
~
isempty
(
h
)
h
=
findobj
(
'Tag'
,
obj
{
j
},
'Parent'
,
h_fig
(
1
));
set
(
h
,
'Enable'
,
'On'
)
if
~
isempty
(
h
)
set
(
h
,
'Enable'
,
'On'
)
end
end
setptr
(
h_fig
(
1
),
'arrow'
)
end
warning
on
if
nogui
~=
2
,
delete
(
hw
);
end
return
end
P2
=
P2
/
sum
(
P2
(:));
% normalization
clear
P1x
if
mP
==
2
P1x
=
sum
(
P2
,
2
);
% distribution for x
P1y
=
sum
(
P2
);
% distribution for y
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the mutual information
I1
=
[
-
sum
((
P1x
(
P1x
~=
0
))
.*
log
(
P1x
(
P1x
~=
0
))),
-
sum
((
P1y
(
P1y
~=
0
))
.*
log
(
P1y
(
P1y
~=
0
)))];
% entropies of Px and Py
I2
=-
sum
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)));
% entropy of joint distribution Pxy
I2_syserr
=
(
length
(
P1x
(
P1x
~=
0
))
+
length
(
P1y
(
P1y
~=
0
))
-
length
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)))
-
1
)/(
2
*
length
(
x
{
k
}));
% standard error for estimation of entropy
MI
(
k
,
l
,
t
+
1
)
=
I1
(
1
)
+
I1
(
2
)
-
I2
+
I2_syserr
;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the standard errors
P2xy
=
P1x
*
P1y
;
i
=
(
P2xy
~=
0
&
P2
~=
0
);
MI_sigma
(
k
,
l
,
t
+
1
)
=
sqrt
(
sum
(
(
log
(
P2xy
(
i
)
.
/
P2
(
i
))
+
MI
(
t
+
1
))
.^
2
.*
(
P2
(
i
)
.*
(
1
-
P2
(
i
))))
/
length
(
x
{
k
}));
else
I1
=
[];
for
i
=
1
:
mP
;
P21
=
permute
(
P2
,[
i
,
i
+
1
:
mP
,
1
:(
i
-
1
)]);
P1x
(:,
i
)
=
sum
(
reshape
(
P21
,
size
(
P21
,
2
),
size
(
P21
,
2
)
^
(
mP
-
1
)),
2
);
% distribution for x_i
I1
=
-
sum
((
P1x
(
P1x
~=
0
))
.*
log
(
P1x
(
P1x
~=
0
)));
% sum of entropies of Px_i
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the mutual information
I2
=-
sum
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)));
% entropy of joint distribution Pxy
I2_syserr
=
(
length
(
P1x
(
P1x
~=
0
))
-
length
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)))
-
1
)/(
2
*
length
(
x
{
k
}));
% standard error for estimation of entropy
MI
(
k
,
l
,
t
+
1
)
=
I1
-
I2
+
I2_syserr
;
end
end
end
end
setptr
(
h_fig
(
1
),
'arrow'
)
end
end
warning
on
if
nogui
~=
2
,
delete
(
hw
);
end
return
end
P2
=
P2
/
sum
(
P2
(:));
% normalization
clear
P1x
if
mP
==
2
P1x
=
sum
(
P2
')'
;
% distribution for x
P1y
=
sum
(
P2
);
% distribution for y
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the mutual information
I1
=
[
-
sum
((
P1x
(
P1x
~=
0
))
.*
log
(
P1x
(
P1x
~=
0
))),
-
sum
((
P1y
(
P1y
~=
0
))
.*
log
(
P1y
(
P1y
~=
0
)))];
% entropies of Px and Py
I2
=-
sum
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)));
% entropy of joint distribution Pxy
I2_syserr
=
(
length
(
P1x
(
P1x
~=
0
))
+
length
(
P1y
(
P1y
~=
0
))
-
length
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)))
-
1
)/(
2
*
length
(
x
{
k
}));
% standard error for estimation of entropy
MI
(
k
,
l
,
t
+
1
)
=
I1
(
1
)
+
I1
(
2
)
-
I2
+
I2_syserr
;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the standard errors
P2xy
=
P1x
*
P1y
;
i
=
(
P2xy
~=
0
&
P2
~=
0
);
MI_sigma
(
k
,
l
,
t
+
1
)
=
sqrt
(
sum
(
(
log
(
P2xy
(
i
)
.
/
P2
(
i
))
+
MI
(
t
+
1
))
.^
2
.*
(
P2
(
i
)
.*
(
1
-
P2
(
i
))))
/
length
(
x
{
k
}));
else
I1
=
[];
for
i
=
1
:
mP
;
P21
=
permute
(
P2
,[
i
,
i
+
1
:
mP
,
1
:(
i
-
1
)]);
P1x
(:,
i
)
=
sum
(
reshape
(
P21
,
size
(
P21
,
2
),
size
(
P21
,
2
)
^
(
mP
-
1
))
')'
;
% distribution for x_i
I1
=
-
sum
((
P1x
(
P1x
~=
0
))
.*
log
(
P1x
(
P1x
~=
0
)));
% sum of entropies of Px_i
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% compute the mutual information
I2
=-
sum
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)));
% entropy of joint distribution Pxy
I2_syserr
=
(
length
(
P1x
(
P1x
~=
0
))
-
length
(
P2
(
P2
~=
0
)
.*
log
(
P2
(
P2
~=
0
)))
-
1
)/(
2
*
length
(
x
{
k
}));
% standard error for estimation of entropy
MI
(
k
,
l
,
t
+
1
)
=
I1
-
I2
+
I2_syserr
;
end
end
,
end
if
nogui
~=
2
;
waitbar
(
t
/
lag
);
end
if
nogui
~=
2
;
waitbar
(
t
/
lag
);
end
if
~
nogui
&
t
*
10
/
lag
==
ceil
(
t
*
10
/
lag
)
if
~
nogui
&
&
t
*
10
/
lag
==
ceil
(
t
*
10
/
lag
)
h
=
findobj
(
'Tag'
,
'button_store'
);
h
=
findobj
(
'Tag'
,
'button_store'
);
if
m
==
2
if
m
==
2
out_str
{
1
}
=
MI
;
out_str
{
2
}
=
MI_sigma
;
out_str
{
1
}
=
MI
;
out_str
{
2
}
=
MI_sigma
;
else
else
out_str
{
1
}
=
MI
;
out_str
{
1
}
=
MI
;
end
end
set
(
h
(
1
),
'UserData'
,
out_str
)
set
(
h
(
1
),
'UserData'
,
out_str
)
mi
(
'plot_mi'
)
mi
(
'plot_mi'
)
end
end
end
end
if
nogui
~=
2
;
delete
(
hw
);
end
if
nogui
~=
2
;
delete
(
hw
);
end
if
~
nogui
if
~
nogui
...
@@ -506,13 +514,12 @@ case 'compute'
...
@@ -506,13 +514,12 @@ case 'compute'
if
~
nogui
,
setptr
(
h_fig
(
1
),
'arrow'
),
end
if
~
nogui
,
setptr
(
h_fig
(
1
),
'arrow'
),
end
warning
on
warning
on
if
isnan
(
MI
(
1
,
1
)),
warning
(
'Mutual information is NaN. Use smaller bin size.'
),
end
if
isnan
(
MI
(
1
,
1
)),
warning
(
'Mutual information is NaN. Use smaller bin size.'
),
end
try
,
set
(
0
,
props
.
root
),
end
try
set
(
0
,
props
.
root
),
catch
end
if
nargout
==
0
if
nargout
==
0
mi
(
'plot_mi'
)
mi
(
'plot_mi'
)
end
end
if
nargout
==
0
&
nogui
if
nargout
==
0
&&
nogui
assignin
(
'base'
,
'ans'
,
MI
)
varargout
{
1
}
=
MI
;
ans
=
MI
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% output
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% output
...
@@ -536,6 +543,7 @@ case 'plot_mi'
...
@@ -536,6 +543,7 @@ case 'plot_mi'
if
lag
==
0
if
lag
==
0
set
(
h_axes
,
'Visible'
,
'off'
),
cla
set
(
h_axes
,
'Visible'
,
'off'
),
cla
set
(
h_show
,
'enable'
,
'off'
)
set
(
h_show
,
'enable'
,
'off'
)
out_str
{
MI
}
=
[];
if
m
==
2
;
if
m
==
2
;
for
k
=
1
:
length
(
MI
)
for
k
=
1
:
length
(
MI
)
out_str
(
k
)
=
{
sprintf
(
repmat
(
'%8.3f %6.3f '
,
1
,
2
*
length
(
MI
)),
reshape
([
MI
(
k
,:);
MI_sigma
(
k
,:)],
1
,
2
*
length
(
MI
)))};
out_str
(
k
)
=
{
sprintf
(
repmat
(
'%8.3f %6.3f '
,
1
,
2
*
length
(
MI
)),
reshape
([
MI
(
k
,:);
MI_sigma
(
k
,:)],
1
,
2
*
length
(
MI
)))};
...
@@ -549,7 +557,7 @@ case 'plot_mi'
...
@@ -549,7 +557,7 @@ case 'plot_mi'
'Tag'
,
'mi_result'
,
...
'Tag'
,
'mi_result'
,
...
'HorizontalAlignment'
,
'left'
,
...
'HorizontalAlignment'
,
'left'
,
...
'FontWeight'
,
'bold'
,
...
'FontWeight'
,
'bold'
,
...
'String'
,
[
'Mutual Information: '
]
);
'String'
,
'Mutual Information: '
);
ex
=
get
(
h
,
'Extent'
);
set
(
h
,
'Position'
,[
11
21
ex
(
3
:
4
)]);
ex
=
get
(
h
,
'Extent'
);
set
(
h
,
'Position'
,[
11
21
ex
(
3
:
4
)]);
h
=
uicontrol
(
props
.
listbox
,
...
h
=
uicontrol
(
props
.
listbox
,
...
'Tag'
,
'mi_result'
,
...
'Tag'
,
'mi_result'
,
...
...
@@ -576,14 +584,14 @@ case 'plot_mi'
...
@@ -576,14 +584,14 @@ case 'plot_mi'
patch
(
s3
,
s1
,
-
10
,
'FaceColor'
,[
.
9
.
9
1
],
'EdgeColor'
,[
.
85
.
85
1
])
patch
(
s3
,
s1
,
-
10
,
'FaceColor'
,[
.
9
.
9
1
],
'EdgeColor'
,[
.
85
.
85
1
])
end
end
hold
on
hold
on
end
end
plot
(
0
:
size
(
MI
,
3
)
-
1
,
permute
(
MI
(
dimx
,
dimy
,:),[
3
,
1
,
2
])),
grid
on
plot
(
0
:
size
(
MI
,
3
)
-
1
,
permute
(
MI
(
dimx
,
dimy
,:),[
3
,
1
,
2
])),
grid
on
xlabel
(
'Lag'
),
ylabel
(
'Mutual Information'
)
xlabel
(
'Lag'
),
ylabel
(
'Mutual Information'
)
hold
off
hold
off
set
(
gca
,
'Tag'
,
'mi_axes'
,
'layer'
,
'top'
,
'xlim'
,[
0
lag
])
set
(
gca
,
'Tag'
,
'mi_axes'
,
'layer'
,
'top'
,
'xlim'
,[
0
lag
])
end
end
drawnow
drawnow
try
,
set
(
0
,
props
.
root
),
end
try
set
(
0
,
props
.
root
),
catch
end
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% the end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% the end
...
@@ -596,55 +604,55 @@ set(0,'ShowHidden','off')
...
@@ -596,55 +604,55 @@ set(0,'ShowHidden','off')
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% error handling
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% error handling
%
if 0
if
0
catch
%
catch
if
~
isempty
(
findobj
(
'Tag'
,
'TMWWaitbar'
)),
delete
(
findobj
(
'Tag'
,
'TMWWaitbar'
)),
end
if
~
isempty
(
findobj
(
'Tag'
,
'TMWWaitbar'
)),
delete
(
findobj
(
'Tag'
,
'TMWWaitbar'
)),
end
cmd
=
{
[
'mean'
];[
'var'
];[
'std'
];[
'median'
];[
'squmean'
];[
'geomean'
];[
'bias'
];[
'skewness'
];[
'kurtosis'
]
};
cmd
=
{
'mean'
;
'var'
;
'std'
;
'median'
;
'squmean'
;
'geomean'
;
'bias'
;
'skewness'
;
'kurtosis'
};
z_whos
=
whos
;
x_lasterr
=
lasterr
;
y_lastwarn
=
lastwarn
;
if
nargin
;
in
=
varargin
{
1
};
else
in
.
class
=
'no input given'
;
end
z_whos
=
whos
;
x_lasterr
=
lasterr
;
y_lastwarn
=
lastwarn
;
if
nargin
;
in
=
varargin
{
1
};
else
in
.
class
=
'no input given'
;
end
if
ischar
(
in
),
in2
=
in
;
else
,
in2
=
[];
end
if
ischar
(
in
),
in2
=
in
;
else
in2
=
[];
end
in
=
whos
(
'in'
);
in
=
whos
(
'in'
);
if
~
strcmpi
(
lasterr
,
'Interrupt'
)
if
~
strcmpi
(
lasterr
,
'Interrupt'
)
fid
=
fopen
(
'error.log'
,
'w'
);
fid
=
fopen
(
'error.log'
,
'w'
);
err
=
fprintf
(
fid
,
'%s\n'
,
'Please send us the following error report. Provide a brief'
);
fprintf
(
fid
,
'%s\n'
,
'Please send us the following error report. Provide a brief'
);
err
=
fprintf
(
fid
,
'%s\n'
,
'description of what you were doing when this problem occurred.'
);
fprintf
(
fid
,
'%s\n'
,
'description of what you were doing when this problem occurred.'
);
err
=
fprintf
(
fid
,
'%s\n'
,
'E-mail or FAX this information to us at:'
);
fprintf
(
fid
,
'%s\n'
,
'E-mail or FAX this information to us at:'
);
err
=
fprintf
(
fid
,
'%s\n'
,
' E-mail: marwan@agnld.uni-potsdam.de'
);
fprintf
(
fid
,
'%s\n'
,
' E-mail: marwan@agnld.uni-potsdam.de'
);
err
=
fprintf
(
fid
,
'%s\n'
,
' Fax: ++49 +331 977 1142'
);
fprintf
(
fid
,
'%s\n'
,
' Fax: ++49 +331 977 1142'
);
err
=
fprintf
(
fid
,
'%s\n\n\n'
,
'Thank you for your assistance.'
);
fprintf
(
fid
,
'%s\n\n\n'
,
'Thank you for your assistance.'
);
err
=
fprintf
(
fid
,
'%s\n'
,
repmat
(
'-'
,
50
,
1
));
fprintf
(
fid
,
'%s\n'
,
repmat
(
'-'
,
50
,
1
));
err
=
fprintf
(
fid
,
'%s\n'
,
datestr
(
now
,
0
));
fprintf
(
fid
,
'%s\n'
,
datestr
(
now
,
0
));
err
=
fprintf
(
fid
,
'%s\n'
,[
'Matlab '
,
char
(
version
),
' on '
,
computer
]);
fprintf
(
fid
,
'%s\n'
,[
'Matlab '
,
char
(
version
),
' on '
,
computer
]);
err
=
fprintf
(
fid
,
'%s\n'
,
repmat
(
'-'
,
50
,
1
));
fprintf
(
fid
,
'%s\n'
,
repmat
(
'-'
,
50
,
1
));
err
=
fprintf
(
fid
,
'%s\n'
,
x_lasterr
);
fprintf
(
fid
,
'%s\n'
,
x_lasterr
);
err
=
fprintf
(
fid
,
'%s\n'
,
y_lastwarn
);
fprintf
(
fid
,
'%s\n'
,
y_lastwarn
);
err
=
fprintf
(
fid
,
'%s\n'
,[
' during ==> mi:'
,
action
]);
fprintf
(
fid
,
'%s\n'
,[
' during ==> mi:'
,
action
]);
err
=
fprintf
(
fid
,
'%s'
,[
' input ==> '
,
in
.
class
]);
fprintf
(
fid
,
'%s'
,[
' input ==> '
,
in
.
class
]);
if
~
isempty
(
in2
),
err
=
fprintf
(
fid
,
'\t%s\n'
,[
' ('
,
in2
,
')'
]);
end
if
~
isempty
(
in2
),
fprintf
(
fid
,
'\t%s\n'
,[
' ('
,
in2
,
')'
]);
end
err
=
fprintf
(
fid
,
'%s\n'
,
[
' errorcode ==> no errorcode available'
]
);
fprintf
(
fid
,
'%s\n'
,
' errorcode ==> no errorcode available'
);
err
=
fprintf
(
fid
,
'%s\n'
,
' workspace dump ==>'
);
fprintf
(
fid
,
'%s\n'
,
' workspace dump ==>'
);
if
~
isempty
(
z_whos
),
if
~
isempty
(
z_whos
),
err
=
fprintf
(
fid
,
'%s\n'
,[
'Name'
,
char
(
9
),
'Size'
,
char
(
9
),
'Bytes'
,
char
(
9
),
'Class'
]);
fprintf
(
fid
,
'%s\n'
,[
'Name'
,
char
(
9
),
'Size'
,
char
(
9
),
'Bytes'
,
char
(
9
),
'Class'
]);
for
j
=
1
:
length
(
z_whos
);
for
j
=
1
:
length
(
z_whos
);
err
=
fprintf
(
fid
,
'%s'
,[
z_whos
(
j
)
.
name
,
char
(
9
),
num2str
(
z_whos
(
j
)
.
size
),
char
(
9
),
num2str
(
z_whos
(
j
)
.
bytes
),
char
(
9
),
z_whos
(
j
)
.
class
]);
fprintf
(
fid
,
'%s'
,[
z_whos
(
j
)
.
name
,
char
(
9
),
num2str
(
z_whos
(
j
)
.
size
),
char
(
9
),
num2str
(
z_whos
(
j
)
.
bytes
),
char
(
9
),
z_whos
(
j
)
.
class
]);
if
~
strcmp
(
z_whos
(
j
)
.
class
,
'cell'
)
&
~
strcmp
(
z_whos
(
j
)
.
class
,
'struct'
)
if
~
strcmp
(
z_whos
(
j
)
.
class
,
'cell'
)
&&
~
strcmp
(
z_whos
(
j
)
.
class
,
'struct'
)
content
=
eval
(
z_whos
(
j
)
.
name
);
content
=
eval
(
z_whos
(
j
)
.
name
);
content
=
mat2str
(
content
(
1
:
min
([
size
(
content
,
1
),
500
]),
1
:
min
([
size
(
content
,
2
),
500
])));
content
=
mat2str
(
content
(
1
:
min
([
size
(
content
,
1
),
500
]),
1
:
min
([
size
(
content
,
2
),
500
])));
err
=
fprintf
(
fid
,
'\t%s'
,
content
(
1
:
min
([
length
(
content
),
500
])));
fprintf
(
fid
,
'\t%s'
,
content
(
1
:
min
([
length
(
content
),
500
])));
elseif
strcmp
(
z_whos
(
j
)
.
class
,
'cell'
)
elseif
strcmp
(
z_whos
(
j
)
.
class
,
'cell'
)
content
=
eval
(
z_whos
(
j
)
.
name
);
content
=
eval
(
z_whos
(
j
)
.
name
);
err
=
fprintf
(
fid
,
'\t'
);
fprintf
(
fid
,
'\t'
);
for
j2
=
1
:
min
([
length
(
content
),
500
])
for
j2
=
1
:
min
([
length
(
content
),
500
])
content2
=
content
{
j2
};
fprintf
(
fid
,
'{%s} '
,
content
{
j2
});
err
=
fprintf
(
fid
,
'{%s} '
,
content
{
j2
});
end
elseif
strcmp
(
z_whos
(
j
)
.
class
,
'struct'
)
content
=
fieldnames
(
eval
(
z_whos
(
j
)
.
name
));
content
=
char
(
content
);
content
(:,
end
+
1
)
=
' '
;
content
=
content
'
;
fprintf
(
fid
,
'\t%s'
,
content
(:)
'
);
end
end
elseif
strcmp
(
z_whos
(
j
)
.
class
,
'struct'
)
fprintf
(
fid
,
'\n'
);
content
=
fieldnames
(
eval
(
z_whos
(
j
)
.
name
));
end
content
=
char
(
content
);
content
(:,
end
+
1
)
=
' '
;
content
=
content
'
;
end
err
=
fprintf
(
fid
,
'\t%s'
,
content
(:)
'
);
fclose
(
fid
);
end
err
=
fprintf
(
fid
,
'\n'
);
end
,
end
err
=
fclose
(
fid
);
disp
(
'----------------------------'
);
disp
(
'----------------------------'
);
disp
(
' ERROR OCCURED'
);
disp
(
' ERROR OCCURED'
);
disp
(
' during executing mi'
);
disp
(
' during executing mi'
);
...
@@ -663,18 +671,21 @@ catch
...
@@ -663,18 +671,21 @@ catch
disp
(
' Thank you for your assistance.'
)
disp
(
' Thank you for your assistance.'
)
warning
(
'on'
)
warning
(
'on'
)
end
end
try
,
if
~
nogui
try
setptr
(
h_fig
(
1
),
'arrow'
)
if
~
nogui
h
=
findobj
(
'tag'
,
'button_apply'
);
setptr
(
h_fig
(
1
),
'arrow'
)
set
(
h
(
1
),
'ToolTip'
,
'Starts the computation.'
,
'String'
,
'Apply'
,
'Callback'
,
'mi compute'
)
h
=
findobj
(
'tag'
,
'button_apply'
);
for
j
=
1
:
length
(
obj
);
set
(
h
(
1
),
'ToolTip'
,
'Starts the computation.'
,
'String'
,
'Apply'
,
'Callback'
,
'mi compute'
)
h
=
findobj
(
'Tag'
,
obj
{
j
},
'Parent'
,
h_fig
(
1
));
for
j
=
1
:
length
(
obj
);
if
~
isempty
(
h
)
h
=
findobj
(
'Tag'
,
obj
{
j
},
'Parent'
,
h_fig
(
1
));
set
(
h
,
'Enable'
,
'On'
)
if
~
isempty
(
h
)
end
set
(
h
,
'Enable'
,
'On'
)
end
end
end
,
end
end
end
catch
end
if
nargout
,
varargout
=
{
NaN
};
end
if
nargout
,
varargout
=
{
NaN
};
end
try
,
set
(
0
,
props
.
root
),
end
try
set
(
0
,
props
.
root
),
catch
end
set
(
0
,
'ShowHidden'
,
'off'
)
set
(
0
,
'ShowHidden'
,
'off'
)
end
end
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