make iterative variable a cell array in matlab - matlab

In matlab, is it possible to make the iterative variable a cell array? is there a workaround? This is the code I ideally want, but throws errors:
dim={};
a=magic(5);
for dim{1}=1:5
for dim{2}=1:5
a(dim{:})=1; %aimed to be equivalent to a(dim{1},dim{2})=1;
end
end
for dim{1}=1:5
↑
Error: Invalid expression. When calling a function or indexing a variable, use
parentheses. Otherwise, check for mismatched delimiters.

I tested that you cannot have A(1), or A{1} or A.x as index variable. https://www.mathworks.com/help/matlab/ref/for.html doesn't explicitly prohibit that, but it doesn't allow it either.
After very slight changes on your code, this should achieve what you seem to want:
dim={};
a = magic(5);
for dim1=1:5
dim{1} = dim1;
for dim2=1:5
dim{2} = dim2;
a(dim{:})=1; %aimed to be equivalent to a(dim{1},dim{2})=1;
end
end
However, I believe the following is a slightly better solution keeping the spirit of "use a cell array to index in your array":
CV = combvec(1:5,1:5); % get all combinations from (1,1) to (5,5). 2x25 double array. This function is a part of deep learning toolbox. Alternatives are available.
CM = num2cell(CV); % 2x25 cell array. Each element is a single number.
for dim = CM
% dim is a 2x1 cell array, eg {2,3}.
a(dim{:}) = 1; % as above.
end
However, none of these are likely a good solution to the underlying problem.

Related

What does the code '[~, width ] = size(I);'mean?I can't undestand '~'especially [duplicate]

Is it possible to get the 'nth' return value from a function without having to create dummy variables for all n-1 return values before it?
Let's say, I have the following function in MATLAB:
function [a,b,c,d] = func()
a = 1;
b = 2;
c = 3;
d = 4;
Now suppose, I'm only interested in the third return value. This can be accomplished by creating one dummy variable:
[dummy, dummy, variableThatIWillUse, dummy] = func;
clear dummy;
But I think this is kind of ugly. I would think that you might be able to do something like one of the following things, but you can't:
[_, _, variableThatIWillUse, _] = func;
[, , variableThatIWillUse, ] = func;
variableThatIWillUse = func(3);
variableThatIWillUse = func()(3);
Are there any elegant ways to do this that do work?
So far, the best solution is to simply use the variableThatIWillUse as a dummy variable. This saves me from having to create a real dummy variable that pollutes the work-space (or that I would need to clear). In short: the solution is to use the variableThatIWillUse for every return value up until the interesting one. Return values after can simply be ignored:
[variableThatIWillUse, variableThatIWillUse, variableThatIWillUse] = func;
I still think this is very ugly code.
With MATLAB Version 7.9 (R2009b) you can use a ~, e.g.,
[~, ~, variableThatIWillUse] = myFunction();
Note that the , isn't optional. Just typing [~ ~ var] will not work, and will throw an error.
See the release notes for details.
This is somewhat of a hack, but it works:
First a quick example function:
Func3 = #() deal(1,2,3);
[a,b,c]=Func3();
% yields a=1, b=2, c=3
Now the key here is that if you use a variable twice on the left-hand side of a multiple-expression assignment, an earlier assignment is clobbered by the later assignment:
[b,b,c]=Func3();
% yields b=2, c=3
[c,c,c]=Func3();
% yields c=3
(Just to check, I also verified that this technique works with [mu,mu,mu]=polyfit(x,y,n) if all you care about from polyfit is the third argument.)
There's a better approach; see ManWithSleeve's answer instead.
If you wish to use a style where a variable will be left to fall into the bit bucket, then a reasonable alternative is
[ans, ans, variableThatIWillUse] = myfun(inputs);
ans is of course the default junk variable for MATLAB, getting overwritten often in the course of a session.
While I do like the new trick that MATLAB now allows, using a ~ to designate an ignored return variable, this is a problem for backwards compatibility, in that users of older releases will be unable to use your code.
I generally avoid using new things like that until at least a few MATLAB releases have been issued to ensure there will be very few users left in the lurch. For example, even now I find people are still using an old enough MATLAB release that they cannot use anonymous functions.
Here's another option you can use. First make a cell array to capture all the outputs (you can use the NARGOUT function to determine how many outputs a given function returns):
a = cell(1,3); % For capturing 3 outputs
% OR...
a = cell(1,nargout(#func)); % For capturing all outputs from "func"
Then call the function as follows:
[a{:}] = func();
Then simply remove the element from a that you want, and overwrite a:
a = a{3}; % Get the third output
I wrote a kth out function:
function kth = kthout(k, ffnc, varargin)
% kthout: take the kth varargout from a func call %FOLDUP
%
% kth = kthout(k, ffnc, varargin)
%
% input:
% k which varargout to get
% ffnc function to call;
% varargin passed to ffnc;
% output:
% kth the kth argout;
[outargs{1:k}] = feval(ffnc, varargin{:});
kth = outargs{k};
end %function
You can then call
val_i_want = kthout(3, #myfunc, func_input_1, func_input_2);
You could also wrap up the function like:
func_i_want = #(varargin)(kthout(3, #myfunc,varargin{:})); % Assuming you want the third output.
After which you use
val_i_want = func_i_want(func_input_1, func_input_2);
Note that there is overhead associated with using anonymous functions like this, and this is not something I would do in code that would be called thousands of times.
In MATLAB 2010a, I found a neat way of doing what you are asking for.
It is simply to use the character "~" (without the quotes of course) as your dummy variable (as many as you want when returning multiple parameters). This also works for input parameters to functions if the functions are designed to handle missing data.
I don't know if this existed in previous versions, but I just came across it recently.
You can make a function (or anonymous function) that only returns selected outputs, e.g.
select = #(a,b) a(b);
Then you can call your function like this:
select(func,2);
select(func,1:3);
Or you can assign the output to a variable:
output(1,2:4) = select(func,1:3);
I don't see any reason not to use ans(n). Like this:
size(rand([5 10 20 40]));
b = ans(2);
It gives b = 10, and this way would be compatible with all MATLAB versions. Note that size() here is just used to represent any function that has multiple return variables.
Furthermore, this works to get the second output argument when you don't know how many arguments there will be! Whereas, if you do this:
[~, b] = size(a);
Then b = 8000! (You need to end with ~, to catch more arguments!)

Iterate names for LinearModel fit Objects in Matlab

I need to iterate through a large number of LinearModel fit Objects and have them stored in a logical way, preferably through an indexing method, e.g. model{x,y}. Less preferable is eval(), which I have tried and in any case is not working. I get the error Index exceeds matrix dimensions. - although the string expression works just fine outside of eval.
counter = 48;
str=strcat('model',+num2str(counter)); % Dynamic variable name
str1 = strcat(str,'=fitlm(tbl,modelspec)'); % Full string to be evaluated
eval(str1)
Ideally I wanted to do, while iterating through x
model{x,y} = fitlm(tbl,modelspec) % This is the equivalent expression
But the error I get is
"Assignment using {} is not allowed for a FitObject."
I think this is similar to this question - with no answer:
Dynamic Objects in Matlab
Managed to solve this by assigning to a cell structure.
e.g.
model = cell(3,3) % Pre-assign a cell structure
for x=1:3
for y=1:3
model{x,y} = fitlm(tbl,modelspec);
end
end

Converting mixed empty/non-empty cells into a numeric matrix

I am working on a code to extract my AR(1)-GARCH(1) parameter, which I estimated using an AR(1)-GJR(1,1) model to individual matrices so that I can use them as variables in my calculations. As I have 16 time series variables, I combine the code with a loop in the following way:
for i=1:nIndices
AA_ARCH(:,i) = cell2mat(fit{i}.Variance.ARCH)';
end;
My problem is that for some variables is are no for AA_ARCH(:,i) the dimension is lower than nIndices. Naturally, when I try to export the estimates in the loop which specified the dimension of (:,i) and nIndices matlab reports a dimension mismatch. I would like to tell Matlab to replace the NaN with 0 instead of leaving the spot empty so that it is able to produce a (1,nIndices) matrix from AA_ARCH.
I thought of something like the this:
fit{i}.Variance.Leverage(isnan(fit{i}.Variance.Leverage))=0
but I wasn't able to combine this part with the previous code.
I would be very happy about any hints!
Best, Carolin
UPDATE:
Here is a fully a runnable version of my code which produces my problem. Notice that the code produces a dimension mismatch error because there is no ARCH and GARCH estimate in the fit.gjr(1,1) for time series 1. For these missing values I would like to have 0 as a placeholder in the extracted matrix.
returns = randn(2,750)';
T = size(returns,1);
nIndices = 2;
model = arima('AR', NaN, 'Variance', gjr(1,1));
residuals = NaN(T, nIndices);
variances = NaN(T, nIndices);
fit = cell(nIndices,1);
options = optimset('fmincon');
options = optimset(options, 'Display' , 'off', 'Diagnostics', 'off', ...
'Algorithm', 'sqp', 'TolCon' , 1e-7);
for i = 1:nIndices
fit{i} = estimate(model, returns(:,i), 'print', false, 'options', options);
[residuals(:,i), variances(:,i)] = infer(fit{i}, returns(:,i));
end
for i=1:nIndices
AA_beta(:,i) = cell2mat(fit{i}.AR)';
AA_GARCH(:,i) = cell2mat(fit{i}.Variance.GARCH)';
AA_ARCH(:,i) = cell2mat(fit{i}.Variance.ARCH)';
AA_Leverage(:,i) = cell2mat(fit{i}.Variance.Leverage)';
end;
I have some general things to say about the code, but first a solution to your problem:
You can put a simple if/else structure in your loop to handle the case of an empty array:
for ind1=1:nIndices
AA_beta(:,ind1) = cell2mat(fit{ind1}.AR)'; %//'
%// GARCH
if isempty(cell2mat(fit{ind1}.Variance.GARCH)') %//'
AA_GARCH(1,ind1) = 0;
else
AA_GARCH(:,ind1) = cell2mat(fit{ind1}.Variance.GARCH)'; %//'
end
%// ARCH (same exact code, should probably be exported to a function)
if isempty(cell2mat(fit{ind1}.Variance.ARCH)') %//'
AA_ARCH(1,ind1) = 0;
else
AA_ARCH(:,ind1) = cell2mat(fit{ind1}.Variance.ARCH)'; %//'
end
AA_Leverage(:,ind1) = cell2mat(fit{ind1}.Variance.Leverage)'; %//'
end;
Side note: I initially tried something like this: soz = #(A)isempty(A)*0+~isempty(A)*A; as an inline replacement for the if/else, but it turns out that MATLAB doesn't handle [] + 0 the way I wanted (it results in [] instead of 0; unlike other languages like JS).
As for the other things I have to say:
I am a firm supporter of the notion that one shouldn't use i,j as loop indices, as this may cause compatibility problems in some cases where complex numbers are involved (e.g. if you loop index is i then 1*i now refers to the loop index instead of to the square root of -1).
Part of your problem was that the arrays you were writing into weren't preallocated - which also means the correct datatype was unknown to MATLAB at the time of their creation. Besides the obvious performance hit this entails, it could also result in errors like the one you encountered here. If, for example, you used cells for AA_beta etc. then they could contain empty values, which you could later replace with whichever placeholder your heart desired using a combination of cellfun and isempty. Bottom line: lint (aka the colorful square on the top right of the editor window) is your friend - don't ignore it :)

How to manipulate and assign parts of a MATLAB field - Comma-separated list assignment

Consider the following MATLAB struct:
a(1).num=1; a(2).num=2; a(3).num=3;
The thing I want to do is to replace some of the elements of num with the old value minus a (scalar) number. For example, I would like to subtract 1 from a(2).num and a(3).num.
I already tried different ways:
a(2:3).num=a(2:3).num-1;
??? Error using ==> minus Too many input arguments.
Next try:
>>a(2:3).num=[a(2:3).num]-1;
??? Insufficient outputs from right hand side to satisfy comma separated list
expansion on left hand side. Missing [] are the most likely cause.
And last:
>> [a(2:3).num]=[a(2:3).num]-1;
??? Error using ==> minus
Too many output arguments.
arrayfun couldn´t help either.
Probably there is a quite easy answer to this question, but I couldn´t find any.
Easiest is a two-line solution:
C = num2cell([a(2:3).num]-1);
[a(2:3).num] = C{:}
Nicest is to have a function like deal, but with a function applied to each argument:
function varargout = fcnDeal(varargin)
%// (Copied from MATLAB's deal()
if nargin==1,
varargout = varargin(ones(1,nargout));
else
if nargout ~= nargin-1
error('fcnDeal:narginNargoutMismatch',...
'The number of outputs should match the number of inputs.')
end
%//...Except this part
varargout = cellfun(varargin{1}, varargin(2:end), 'UniformOutput', false);
end
end
Then what you want to do is just a matter of
[a(2:3).num] = fcnDeal(#(x)x-1, a(2:3).num)
You can manipulate them in the loop
index = [1,2]
for i = index
a(i).num = a(i).num - 1;
end

Array addition error

I wrote the following code for convolution in Matlab, but it gives me errors at notified lines. I am a beginner in Matlab so please bear with me answering this question.
function [y] = UmerConv(x,h)
xlen=length(x);
hlen=length(h);
p=1;
for j=1:xlen
for k=1:hlen
uinput{p}=x(j)*h(k);
p=p+1;
end
end
for i=1:hlen
if(i==1 || i==hlen)
y{i}=uinput(i); // error
else
y{i}=uinput(i)+uinput(i+2); // error
end
end
Thanks
You assign values into uinput with cell array syntax {}, but then later you index them with regular array syntax with uinput(i). You have to keep it consistent. Using the curly braces {} makes the array a cell array, which is indexed differently than a regular array (which uses just parentheses).
You then also make the same assignment choice with the variable y, using the cell array syntax when it seems you'll probably want just regular array syntax.
The corrected code should probably be:
function [y] = UmerConv(x,h)
xlen=length(x);
hlen=length(h);
p=1;
for j=1:xlen
for k=1:hlen
uinput(p) = x(j)*h(k); % <-- Changed the {} syntax
p=p+1;
end
end
for i=1:hlen
if(i==1 || i==hlen)
y(i) = uinput(i); % <-- Now you access both with () instead of {}
else
y(i) = uinput(i) + uinput(i+2); % <-- Same here.
end
end
At each place where I noted a correction in a comment, you could alternately stick with solely the {} syntax, and then everything will work but the arrays will be cell arrays. Usually this is not desired for a such a numerical computation.
You should use y(i) instead that y{i} to access the i-th position of a vector.