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Cluster Analysis in Python
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Cluster Analysis in Python

Cluster Analysis in Python

1. K-Means Algorithm
Exploratory Data AnalysisWhat is a K-Means Algorithm?Defining the Number of ClustersCase 1: Three Distinct ClustersCase 2: Four Distinct ClustersClustering Weather DataFebruary vs July Average TemperaturesVisualizing the Dynamics Across Clusters
2. K-Medoids Algorithm
What is a K-Medoids Algorithm?Cluster CentersSilhouette ScoresK-Medoids and the Weather DataMean Yearly Temperatures Across ClustersComparing the Dynamics
3. Hierarchical Clustering
What is a Hierarchical Clustering?DendrogramsSetting Parameters: LinkageRand IndexThe Weather Data and LinkagesDeciding the Number of ClustersWeather Data: Complete and Ward LinkagesHow Similar are the Results?
4. Spectral Clustering
What is a Spectral Clustering?Peculiarity of Spectral ClusteringSetting Parameters: AffinityDefining the Number of ClustersIs 4 the Optimal Number of Clusters?Comparing the Trends Across Clusters

Peculiarity of Spectral Clustering

The result of the last chapter was great! Spectral clustering correctly figured out the structure of the clusters, unlike K-Means and K-Medoids algorithms.

Thus, spectral clustering is very useful in case of intersect/overlapping clusters or when you can not use mean points and the centers.

For example, let's explore such a case. Given the 2-D training set of points, the scatter plot for which is built below.

Seems like 4 circles, therefore 4 clusters, doesn't it? But that is what K-Means will show us.

Not what we expected to see. Let's see how will spectral clustering deal with this data.

Please note, that the spectral clustering algorithm may take a long time to perform since it is based on hard math.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

Section 4. Chapter 2
toggle bottom row

Peculiarity of Spectral Clustering

The result of the last chapter was great! Spectral clustering correctly figured out the structure of the clusters, unlike K-Means and K-Medoids algorithms.

Thus, spectral clustering is very useful in case of intersect/overlapping clusters or when you can not use mean points and the centers.

For example, let's explore such a case. Given the 2-D training set of points, the scatter plot for which is built below.

Seems like 4 circles, therefore 4 clusters, doesn't it? But that is what K-Means will show us.

Not what we expected to see. Let's see how will spectral clustering deal with this data.

Please note, that the spectral clustering algorithm may take a long time to perform since it is based on hard math.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

Section 4. Chapter 2
toggle bottom row

Peculiarity of Spectral Clustering

The result of the last chapter was great! Spectral clustering correctly figured out the structure of the clusters, unlike K-Means and K-Medoids algorithms.

Thus, spectral clustering is very useful in case of intersect/overlapping clusters or when you can not use mean points and the centers.

For example, let's explore such a case. Given the 2-D training set of points, the scatter plot for which is built below.

Seems like 4 circles, therefore 4 clusters, doesn't it? But that is what K-Means will show us.

Not what we expected to see. Let's see how will spectral clustering deal with this data.

Please note, that the spectral clustering algorithm may take a long time to perform since it is based on hard math.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

The result of the last chapter was great! Spectral clustering correctly figured out the structure of the clusters, unlike K-Means and K-Medoids algorithms.

Thus, spectral clustering is very useful in case of intersect/overlapping clusters or when you can not use mean points and the centers.

For example, let's explore such a case. Given the 2-D training set of points, the scatter plot for which is built below.

Seems like 4 circles, therefore 4 clusters, doesn't it? But that is what K-Means will show us.

Not what we expected to see. Let's see how will spectral clustering deal with this data.

Please note, that the spectral clustering algorithm may take a long time to perform since it is based on hard math.

Task

For the given set of 2-D points data perform a spectral clustering. Follow the next steps:

  1. Import SpectralClustering function from sklearn.cluster.
  2. Create a SpectralClustering model with 4 clusters.
  3. Fit the data and predict the labels. Save predicted labels within the 'prediction' column of data.
  4. Build scatter plot with 'x' column on the x-axis 'y' column on the y-axis for each value of 'prediction' (separate color for each value). Do not forget to display the plot.

Switch to desktop for real-world practiceContinue from where you are using one of the options below
Section 4. Chapter 2
Switch to desktop for real-world practiceContinue from where you are using one of the options below
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