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convert code from a python function to matlab

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How to convert the following python code to matlab code?
below I send the code.
Thank you so much
# lambda L;
def J(X):
L=0.5
Xorigin=np.zeros([2,1])
JA=np.mean(np.sum(np.power(X-np.tile(Xorigin,(1,P)),2),axis=0))
JB=0
for i in range(0,P):
for j in range(i+1,P):
JB+=1/np.sum(np.power(X[:,i]-X[:,j],2))
JB=JB/(P*(P-1)/2)
return JA+L*JB
Function:

Accepted Answer

Walter Roberson
Walter Roberson on 18 May 2021
X = randi([-9 9], 10, 2)
X = 10×2
7 -9 -7 -7 6 9 -5 6 -8 -6 -5 8 2 2 2 3 7 -6 6 -5
disp(J(X))
76.4701
function output = J(X)
L = 0.5;
S = size(X,1);
JA = sum(X.^2,2);
JB = sum(triu(squareform(1./pdist(X, 'squaredeuclidean'))),2);
output = sum(JA + JB)./S;
end
The equation you posted does not include a division by P*(P-1)/2 (for undefined variable P at that.)
The equation you posted is ambiguous about what the upper limit is for j. As s is not defined, it is possible that the size of X is greater than s, so the sum in the second part of the equation might include a potentially large number of terms.
The posted equation has j>=i but when j = i then is 0 and the term would be 1/0 which is infinity. That is not a useful equation, so we must suppose that j>i must be true. If s is the number of rows in X then for the last row, i = s, j>i would be empty, which leads to the question of whether adding emptiness should be treated the same as adding 0.

More Answers (1)

Dany
Dany on 18 May 2021
Walter Roberson, you're right. I forgot to correct that observation. it is really (j > i).
Thank you so much..

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