how to eliminate repeating integers from cell array in matlab - arrays

Question

i have [words*sentences]matrix where sentences have integers that represent sentence numbers from a text document from this matrix i have constructed 1D array of [1*N] which shows words and in which sentences they occur number wise.
once above step is done i have taken intersection to check which words occur together in which sentences the code is as follows:
OccursTogether = cell(length(Out1));
for ii=1:length(Out1)
for jj=ii+1:length(Out1)
OccursTogether{ii,jj} = intersect(Out1{ii},Out1{jj});
end
end
celldisp(OccursTogether)
the sample output is as follows which shows 1st word occurs in sentence
{5 10 16} same word occurs with 2nd word in sentence {11 12 13} and word 1 occurs with word 3 in sentence {9 14} and so on till the Nth word:
OccursTogether{1,1} = 5 10 16
OccursTogether{2,1} = 5 12 16
OccursTogether{3,1} = 9 14
now what i want is to show output in one line based upon OccursTogether cell array without repeating sentence numbers as below:
output: {5 9 10 12 14 16}
any help would me appreciated..

Answer 1

If I understand correctly:
result = unique([OccursTogether{:}]);
In your example this gives
result =
5 9 10 12 14 16

Answer 2

Here is a way using cellfun and cell2mat. The idea is to vertically concatenate each cell form the cell array, convert it to a matrix and apply the unique function.
So the first step:
a = cellfun(#(x) x.',OccursTogether,'uni',false)
Takes each cell and transpose it, thus making a n x 1 vector. The result is a cell array containing vertical vectors:
a =
[3x1 double]
[3x1 double]
[2x1 double]
Now we can use cell2mat to convert to a numeric matrix since the dimensions will fit and finally apply unique. Otherwise that would not be possible (eg using 1x3 and 1x2 vectors).
In 1 line that looks like this:
output = unique(cell2mat(cellfun(#(x) x.',OccursTogether,'uni',false)))
output =
5
9
10
12
14
16
Hope this is what you meant! If not please tell me.