Problem 1 (20 Points): Lloyd's Method Given a dataset with seven data points {,.,7} and the...
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Problem 1 (20 Points): Lloyd's Method Given a dataset with seven data points {₁,.,7} and the distances between all pairs of data points are in the following table. X1 X2 X3 X4 X5 X6 X7 X1 X2 0 5 3 5 0 4 3 4 0 4 1 6 4 0 6 1 3 7 2 7 5 1 3 8 6 2 X3 X4 X5 X6 X7 1 6 2 3 6 1 7 8 3 5 6 7 1 2 0 8 9 8 0 1 9 1 0 Assume the number of clusters k = 2, and the cluster centers are initialized to be x3 and 6. 1. 5 Points. What's the two clusters formed at the end of the first iteration of Lloyd's algorithm? 2. 5 Points. What's the two clusters formed at the end of the second iteration of Lloyd's algorithm? 3. 10 Points. What's the two clusters formed when the Lloyd's algorithm converges? Problem 1 (20 Points): Lloyd's Method Given a dataset with seven data points {₁,.,7} and the distances between all pairs of data points are in the following table. X1 X2 X3 X4 X5 X6 X7 X1 X2 0 5 3 5 0 4 3 4 0 4 1 6 4 0 6 1 3 7 2 7 5 1 3 8 6 2 X3 X4 X5 X6 X7 1 6 2 3 6 1 7 8 3 5 6 7 1 2 0 8 9 8 0 1 9 1 0 Assume the number of clusters k = 2, and the cluster centers are initialized to be x3 and 6. 1. 5 Points. What's the two clusters formed at the end of the first iteration of Lloyd's algorithm? 2. 5 Points. What's the two clusters formed at the end of the second iteration of Lloyd's algorithm? 3. 10 Points. What's the two clusters formed when the Lloyd's algorithm converges?
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Lloyds algorithm commonly referred to as the kmeans clustering algorithm is an iterative method used to partition a given dataset into k clusters in which each data point belongs to the cluster with t... View the full answer
Related Book For
College Mathematics For Business Economics, Life Sciences, And Social Sciences
ISBN: 978-0134674148
14th Edition
Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker
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