K-Medoids Clustering Quiz and Flashcards

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Questions and Answers

What is the key difference between k-means and k-medoids clustering algorithms?

K-means is faster than k-medoids.

K-means requires the number of clusters to be specified in advance, while k-medoids does not.

K-means can handle non-spherical clusters, while k-medoids cannot.

K-means uses the mean of the cluster as the center, while k-medoids uses the most central point (medoid) as the center. (correct)

What is the purpose of the 'Step 3' in the k-medoids algorithm described in the text?

To assign each observation to the closest current cluster center. (correct)

To initialize the cluster centers.

To update the cluster centers based on the new assignments.

To calculate the total cost of the clustering.

How is the 'medoid' determined in the k-medoids algorithm?

The medoid is the point with the average distance to all other points in the cluster.

The medoid is the point with the smallest total distance to all other points in the cluster. (correct)

The medoid is the point with the largest total distance to all other points in the cluster.

The medoid is the point with the median distance to all other points in the cluster.

What is the purpose of 'Step 2' in the k-medoids algorithm described in the text?

To select one of the non-medoids as a potential new medoid. Signup and view all the answers

How is the 'total cost' or 'total error' calculated in the k-medoids algorithm?

By summing the absolute differences between each point and its assigned cluster center. Signup and view all the answers

Which of the following statements about hierarchical clustering is correct?

Hierarchical clustering is a family of clustering algorithms that build nested clusters by merging or splitting them based on a distance metric. Signup and view all the answers

What is the key advantage of the K-Medoids method over the K-Means method?

It is more robust to outliers and noise in the data. Signup and view all the answers

What is a major drawback of the K-Medoids method compared to the K-Means method?

It is more computationally expensive, especially for large datasets. Signup and view all the answers

If we have the data points P = {(1,2), (2,3), (3,5), (4,6), (5,8)} and initial medoids m1 = (2,3) and m2 = (4,6), what is the total cost (sum of distances of each point to its nearest medoid) for this initial step?

14 Signup and view all the answers

What is a key feature of the hierarchical clustering method?

It represents the clustering as a hierarchy or tree structure. Signup and view all the answers

Which of the following statements about the hierarchical clustering method is true?

The internal nodes represent the union of their children. Signup and view all the answers

Both the K-Means and K-Medoids methods require the user to specify which parameter?

The number of clusters (k) to be formed. Signup and view all the answers

Which of the following statements about hierarchical clustering is correct?

It creates a nested sequence of partitions, represented as a tree-like structure. Signup and view all the answers

In the agglomerative approach to hierarchical clustering, what is the starting point?

Each data point is initially treated as a separate cluster (singleton). Signup and view all the answers

What is the main difference between the single-linkage and complete-linkage methods in hierarchical clustering?

Single-linkage considers the minimum distance between clusters, while complete-linkage considers the maximum distance. Signup and view all the answers

In the context of the K-medoids algorithm, what is the role of the medoid?

It is a data point that minimizes the sum of distances to all other data points in a cluster. Signup and view all the answers

What is the main advantage of the K-medoids algorithm over the K-means algorithm?

K-medoids is more robust to outliers and noise in the data. Signup and view all the answers

In the context of clustering algorithms, what is the purpose of the total cost function?

It measures the compactness of clusters by summing the distances between data points and their assigned cluster centers. Signup and view all the answers

Study Notes

K-Medoids Algorithm

Minimize total error by assigning each observation to the closest (current) cluster center.
Repeat for each point.
The medoid is the point with the total distance less than others.

Steps in K-Medoids Algorithm

Step 1: Initialize k centers.
Step 2: Select one of the non-medoids O′.
Step 3: Calculate the total cost by assigning each observation to the closest (current) cluster center.

Example of K-Medoids Algorithm

Assume two medoids c1=(3,4) and c2=(7,4).
Calculate the cost (distance) between each point and the medoids using Manhattan distance.
Result: Two clusters are formed: Cluster1 = {(3,4)(2,6)(3,8)(4,7)} and Cluster2 = {(7,4)(6,2)(6,4)(7,3)(8,5)(7,6)}.

Hierarchical Clustering

Each level of the tree represents a partition of the input data into several (nested) clusters or groups.
There are two styles of hierarchical clustering algorithms:
- Agglomerative (bottom-up): Merge clusters until the root is reached.
- Divisive (top-down): Recursively partition the data until singleton sets are reached.

Steps in Hierarchical Clustering

Step 1: Input a pairwise matrix involving all instances in S.
Step 2: Compute a merging cost function (distance) between every pair of elements in L to find the two closest clusters to merge.
Step 3: Remove the closest clusters and merge them to create a new internal node.
Step 4: Repeat until there is only one set remaining.

Features of Hierarchical Clustering

The root is the whole input set S.
The leaves are the individual elements of S.
The internal nodes are defined as the union of their children.

K-Medoids vs K-Means

K-Medoids is more robust than K-Means in the presence of noise and outliers.
K-Medoids is more costly than K-Means in terms of complexity.
Both methods require the user to specify k, the number of clusters.

Quiz Example

Calculate the total cost of the initial step in the k-medoids algorithm.
Initial medoids are m1=(2,3) and m2=(4,6).
Calculate the cost (distance) between each point and the medoids using Manhattan distance.

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Test your knowledge on the differences between K-Medoids and K-Means clustering algorithms, including their robustness to noise and outliers. Understand the concept of medoids and how they differ from means in clustering analysis.

K-Medoids vs. K-Means Clustering Quiz

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Questions and Answers

What is the key difference between k-means and k-medoids clustering algorithms?

What is the purpose of the 'Step 3' in the k-medoids algorithm described in the text?

How is the 'medoid' determined in the k-medoids algorithm?

What is the purpose of 'Step 2' in the k-medoids algorithm described in the text?

How is the 'total cost' or 'total error' calculated in the k-medoids algorithm?

Which of the following statements about hierarchical clustering is correct?

What is the key advantage of the K-Medoids method over the K-Means method?

What is a major drawback of the K-Medoids method compared to the K-Means method?

If we have the data points P = {(1,2), (2,3), (3,5), (4,6), (5,8)} and initial medoids m1 = (2,3) and m2 = (4,6), what is the total cost (sum of distances of each point to its nearest medoid) for this initial step?

What is a key feature of the hierarchical clustering method?

Which of the following statements about the hierarchical clustering method is true?

Both the K-Means and K-Medoids methods require the user to specify which parameter?

Which of the following statements about hierarchical clustering is correct?

In the agglomerative approach to hierarchical clustering, what is the starting point?

What is the main difference between the single-linkage and complete-linkage methods in hierarchical clustering?

In the context of the K-medoids algorithm, what is the role of the medoid?

What is the main advantage of the K-medoids algorithm over the K-means algorithm?

In the context of clustering algorithms, what is the purpose of the total cost function?

Study Notes

K-Medoids Algorithm

Steps in K-Medoids Algorithm

Example of K-Medoids Algorithm

Hierarchical Clustering

Steps in Hierarchical Clustering

Features of Hierarchical Clustering

K-Medoids vs K-Means

Quiz Example

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