K-Means Clustering Quiz
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Questions and Answers

What does k-means clustering aim to minimize?

  • Sum of squared deviations (correct)
  • Variance
  • Mean absolute error
  • Regular Euclidean distances

In what kind of cells does k-means clustering result in a partitioning of the data space?

  • Triangular cells
  • Voronoi cells (correct)
  • Rectangular cells
  • Hexagonal cells

Which algorithm for mixtures of Gaussian distributions is similar to k-means clustering?

  • Mean-shift algorithm
  • Expectation-maximization algorithm (correct)
  • Agglomerative clustering algorithm
  • DBSCAN algorithm

What problem is computationally difficult and NP-hard?

<p>k-means clustering (C)</p> Signup and view all the answers

What does the mean optimize in the context of k-means clustering?

<p>Squared errors (C)</p> Signup and view all the answers

What is the relationship between the unsupervised k-means algorithm and the k-nearest neighbor classifier?

<p>The 1-nearest neighbor classifier can be applied to the cluster centers obtained by k-means (B)</p> Signup and view all the answers

What does k-means clustering aim to minimize?

<p>Within-cluster sum of squares (WCSS) (C)</p> Signup and view all the answers

Who first used the term 'k-means'?

<p>James MacQueen (B)</p> Signup and view all the answers

What is another name for the standard algorithm of k-means clustering?

<p>Lloyd's algorithm (A)</p> Signup and view all the answers

What prevents the naive k-means algorithm from converging?

<p>Using a different distance function other than squared Euclidean distance (C)</p> Signup and view all the answers

Study Notes

K-Means Clustering

  • K-means clustering aims to minimize the sum of the squared distances between the data points and their assigned cluster centers.

Partitioning of Data Space

  • K-means clustering results in a partitioning of the data space into Voronoi cells.

Similar Algorithm

  • The Expectation-Maximization (EM) algorithm for mixtures of Gaussian distributions is similar to k-means clustering.

Computational Difficulty

  • The problem of finding the optimal number of clusters (k) is computationally difficult and NP-hard.

Mean Optimization

  • The mean optimizes the sum of the squared distances between the data points and their assigned cluster centers in the context of k-means clustering.

Relationship with k-Nearest Neighbor

  • The unsupervised k-means algorithm is similar to the k-nearest neighbor (k-NN) classifier in the sense that both are based on Euclidean distance.

Origin of Term 'k-Means'

  • The term 'k-means' was first used by James MacQueen in 1967.

Standard Algorithm

  • Another name for the standard algorithm of k-means clustering is Lloyd's algorithm.

Convergence Issue

  • The naive k-means algorithm may not converge due to the existence of local optima, which prevents convergence.

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Description

Test your knowledge of the k-means clustering algorithm, a method of vector quantization used to partition observations into clusters based on their nearest mean. Explore how k-means clustering minimizes within-cluster variances and partitions data space into Voronoi cells.

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