NPTEL Introduction to Machine Learning Week 10 Assignment Answers 2024
1. In a clustering evaluation, a cluster C contains 50 data points. Of these, 30 belong to class A, 15 to class B, and 5 to class C. What is the purity of this cluster?
- 0.5
- 0.6
- 0.7
- 0.8
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2. Consider the following 2D dataset with 10 points:
(1, 1),(1, 2),(2, 1),(2, 2),(3, 3),
(8, 8),(8, 9),(9, 8),(9, 9),(10, 10)
Using DBSCAN with ϵ = 1.5 and MinPts = 3, how many core points are there in this dataset?
- 4
- 5
- 8
- 10
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3. In BIRCH, using number of points N, sum of points SUM and sum of squared points SS, we can determine the centroid and radius of the combination of any two clusters A and B. How do you determine the radius of the combined cluster? (In terms of N,SUM and SS of both two clusters A and B)
Radius of a cluster is given by:
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4. Which of the following properties are TRUE?
- sing the CURE algorithm can lead to non-convex clusters.
- K-means scales better than CURE for large datasets.
- CURE is a simplification of K-means and hence scales better than k-means for large datasets
- K-means being more expensive to run on large datasets, can give non-convex clusters too.
Answer :-
5. The pairwise distance between 6 points is given below. Which of the option shows the hierarchy of clusters created by single link clustering algorithm?
Answer :-
6. For the pairwise distance matrix given in the previous question, which of the following shows the hierarchy of clusters created by the complete link clustering algorithm.
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7. Given a bag containing 6 red balls, 4 blue balls and 7 green balls, what is the probability that in 5 trials, at least 3 red balls are drawn from the bag?
- 0.24
- 0.38
- 0.17
- 0.43
Answer :-
8. Given a bag containing 6 red balls, 4 blue balls and 7 green balls, what is the probability that in 5 trials, at least 3 red balls are drawn from the bag?
- 0.24
- 0.38
- 0.17
- 0.43
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