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def calculate _ S ( X , n , m ) : ' ' ' function calculate _ S ( X ) Computes the S

def calculate_S(X, n, m):
'''
function calculate_S(X)
Computes the S matrix.
Syntax:
S=calculate_S(X)
Input:
X: nxd data matrix with n vectors (rows) of dimensionality d
n: number of rows in X
m: output number of columns in S
Output:
Matrix S of size nxm
S[i,j] is the inner-product between vectors X[i,:] and X[i,:]
'''
#assert n == X.shape[0]

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