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calculate distance using the below equation

Asked by Elysi Cochin on 11 Apr 2013

i have 2 variables, dataMatrix and queryMatrix..... dataMatrix contains 245 rows and 38 column values...... and queryMatrix contains 1 row and 38 column values...... i calculate the euclidean distance and sort the distances in ascending order as below.....

    for w=1:245
        dist = sum((repmat(queryMatrix(w,:),245,1)-dataMatrix).^2,2);
        [sortval sortpos] = sort(dist,'ascend');
        neighborIds(w,:) = sortpos(1:k);
        neighborDistances(w,:) = sqrt(sortval(1:k));
    end

instead of euclidean distance i want to use the distance formula in the below link.....

http://img28.imageshack.us/img28/3595/distanceu.png

but i dont know to write the equation in matlab...... please can someone convert that equation to matlab..... it would be great help to me..... please do reply......

1 Comment

Matt J on 11 Apr 2013

If queryMatrix only has 1 row, how can w run from 1 to 245 in queryMatrix(w,:)?

Elysi Cochin

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2 Answers

Answer by Matt J on 11 Apr 2013
Accepted answer

Assuming queryMatrix and dataMatrix are both 245x38, the whole thing can be done without loops,

    d=permute(dataMatrix,[1,3,2]);
    q=permute(queryMatrix,[3,1,2]);
    num = abs(bsxfun(@minus,d,q));
    den =  bsxfun(@plus,abs(d),abs(q));
    dist=sum(num./den,3);
    [sortval sortpos] = sort(dist);
    neighborIds = sortpos(1:k,:);
    neighborDistances = sqrt(sortval(1:k,:));

2 Comments

Elysi Cochin on 11 Apr 2013

sir what is 1,3,2 and 3,2,1 in

    d=permute(dataMatrix,[1,3,2]);
    q=permute(queryMatrix,[3,1,2]);

shud i use it in my datavalues???..... as my datavalues are not of the same row and column values.... what changes should i make when i use for loop?? please do reply sir....

Matt J on 11 Apr 2013

To understand the syntax of the PERMUTE command, see

 doc permute
 help permute

As I mentioned, you don't need to be using a for-loop. The only requirement here is that dataMatrix and queryMatrix have the same number of columns.

Matt J
Answer by Andrei Bobrov on 11 Apr 2013
Edited by Andrei Bobrov on 11 Apr 2013
dataMatrix = randi([-10,10],10,5);
queryMatrix = randi([-10 10],1,5);
d = bsxfun(@(x,y)abs(x - y)./(abs(x) + abs(y)),...
                                         dataMatrix,permute(queryMatrix,[3 2 1]));
d = sort(squeeze(sum(d,2)));

2 Comments

Elysi Cochin on 11 Apr 2013

sir in my code should i use for loop??? because when i do without for loop i'm getting all values NaN......

 dataMatrix = dataMatrix.*sign(rand(size(dataMatrix)));
 queryMatrix = queryMatrix.*sign(rand(size(queryMatrix))-.5);

shud i use this rand function for my set of values??

Elysi Cochin on 12 Apr 2013

thank u all...

Andrei Bobrov

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