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Intro to ML: Unsupervised Learning

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Does one expect two runs of k-means clustering to produce the same clustering results?

a)

yes

b)

no

2.

Is it possible that the assignment of observations to clusters doesn’t change between successive iterations in K-Means?

a)

yes

b)

no

c)

can't say

3.

True or False. The larger the number of centroids in K-means, the less likely the model is to overfit

a)

True

b)

False

4.

True or False. The initial position of the clusters does not affect the final result of K-Means

a)

True

b)

False

5.

A student has applied the k-means algorithm to an unsupervised problem. On analysis they find that the mean distance between data instances and the cluster centres which they are assigned is 0. What does this mean?

a)

That the chosen value of k must equal the true number of clusters

b)

That the chosen value of k must at least equal the number of datapoints

c)

That this specific configuration (ie position) of k centroids is optimal for this dataset

d)

None of these

6.

The K-means algorithm was executed several times with different values of K. The mean distance between validation datapoints and the nearest centroid was calculated and plotted. From this plot determine the best value for K.

a)

1

b)

3

c)

4

d)

6

e)

9

7.

Which of the following are limitations of the k-means algorithm

a)

It is sensitive to outliers

b)

It is sensitive to initialisation

c)

It has exponential time complexity with dataset size

d)

It is not suitable for datasets containing non hyper-ellipsoids clusters

e)

None of the above

8.

What does GMM-EM optimise?

a)

Minimises the average distance between the samples and the mean of the nearest Gaussian

b)

Minimises the negative-log-likelihood of the model

c)

Maximises the negative-log-likelihood of the mode

d)

Maximises the classification rate

e)

None of these

9.

True or False. If the responsibility, rnk is high, it means that data point n is a plausible sample from the kth mixture

a)

True

b)

False

10.

True or False? The only differences between GMM-EM and k-means is the non-isotropic distance to the centroids/means and that for GMM-EM this metric varies during the learning process.

a)

True

b)

False