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What does k-means clustering entail, and does it always result in a global optimum? Write a program for k-means clustering given an N*D matrix.

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Interview question asked to Machine Learning Engineers interviewing at Marqeta, Bitdefender, Mayo Clinic and others: What does k-means clustering entail, and does it always result in a global optimum? Write a program for k-means clustering given an N*D matrix..