.. _sphx_glr_auto_examples_cluster:

.. _cluster_examples:

Clustering
----------

Examples concerning the :mod:`sklearn.cluster` module.



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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we compare the various initialization strategies for K-means in terms of runtim...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_kmeans_digits_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_kmeans_digits.py`

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      <div class="sphx-glr-thumbnail-title">A demo of K-Means clustering on the handwritten digits data</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Compute the segmentation of a 2D image with Ward hierarchical clustering. The clustering is spa...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_coin_ward_segmentation_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_coin_ward_segmentation.py`

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      <div class="sphx-glr-thumbnail-title">A demo of structured Ward hierarchical clustering on an image of coins</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Reference:">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_mean_shift_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_mean_shift.py`

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      <div class="sphx-glr-thumbnail-title">A demo of the mean-shift clustering algorithm</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="- a first experiment with fixed &quot;ground truth labels&quot; (and therefore fixed   number of classes)...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_adjusted_for_chance_measures_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_adjusted_for_chance_measures.py`

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      <div class="sphx-glr-thumbnail-title">Adjustment for chance in clustering performance evaluation</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows the effect of imposing a connectivity graph to capture local structure in th...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_agglomerative_clustering_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_agglomerative_clustering.py`

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      <div class="sphx-glr-thumbnail-title">Agglomerative clustering with and without structure</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="Demonstrates the effect of different metrics on the hierarchical clustering.">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_agglomerative_clustering_metrics_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_agglomerative_clustering_metrics.py`

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      <div class="sphx-glr-thumbnail-title">Agglomerative clustering with different metrics</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="An example to show the output of the sklearn.cluster.kmeans_plusplus function for generating in...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_kmeans_plusplus_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_kmeans_plusplus.py`

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      <div class="sphx-glr-thumbnail-title">An example of K-Means++ initialization</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows differences between Regular K-Means algorithm and Bisecting K-Means.">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_bisect_kmeans_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_bisect_kmeans.py`

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      <div class="sphx-glr-thumbnail-title">Bisecting K-Means and Regular K-Means Performance Comparison</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Performs a pixel-wise Vector Quantization (VQ) of an image of the summer palace (China), reduci...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_color_quantization_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_color_quantization.py`

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      <div class="sphx-glr-thumbnail-title">Color Quantization using K-Means</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example compares the timing of BIRCH (with and without the global clustering step) and Min...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_birch_vs_minibatchkmeans_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_birch_vs_minibatchkmeans.py`

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      <div class="sphx-glr-thumbnail-title">Compare BIRCH and MiniBatchKMeans</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows characteristics of different clustering algorithms on datasets that are &quot;int...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_cluster_comparison_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_cluster_comparison.py`

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      <div class="sphx-glr-thumbnail-title">Comparing different clustering algorithms on toy datasets</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows characteristics of different linkage methods for hierarchical clustering on ...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_linkage_comparison_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_linkage_comparison.py`

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      <div class="sphx-glr-thumbnail-title">Comparing different hierarchical linkage methods on toy datasets</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We want to compare the performance of the MiniBatchKMeans and KMeans: the MiniBatchKMeans is fa...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_mini_batch_kmeans_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_mini_batch_kmeans.py`

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      <div class="sphx-glr-thumbnail-title">Comparison of the K-Means and MiniBatchKMeans clustering algorithms</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="DBSCAN (Density-Based Spatial Clustering of Applications with Noise) finds core samples in regi...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_dbscan_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_dbscan.py`

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      <div class="sphx-glr-thumbnail-title">Demo of DBSCAN clustering algorithm</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this demo we will take a look at cluster.HDBSCAN from the perspective of generalizing the cl...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_hdbscan_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_hdbscan.py`

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      <div class="sphx-glr-thumbnail-title">Demo of HDBSCAN clustering algorithm</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Finds core samples of high density and expands clusters from them. This example uses data that ...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_optics_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_optics.py`

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      <div class="sphx-glr-thumbnail-title">Demo of OPTICS clustering algorithm</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Reference: Brendan J. Frey and Delbert Dueck, &quot;Clustering by Passing Messages Between Data Poin...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_affinity_propagation_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_affinity_propagation.py`

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      <div class="sphx-glr-thumbnail-title">Demo of affinity propagation clustering algorithm</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example is meant to illustrate situations where k-means produces unintuitive and possibly ...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_kmeans_assumptions_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_kmeans_assumptions.py`

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      <div class="sphx-glr-thumbnail-title">Demonstration of k-means assumptions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Evaluate the ability of k-means initializations strategies to make the algorithm convergence ro...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_kmeans_stability_low_dim_dense_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_kmeans_stability_low_dim_dense.py`

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      <div class="sphx-glr-thumbnail-title">Empirical evaluation of the impact of k-means initialization</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="These images show how similar features are merged together using feature agglomeration.">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_digits_agglomeration_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_digits_agglomeration.py`

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      <div class="sphx-glr-thumbnail-title">Feature agglomeration</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example compares 2 dimensionality reduction strategies:">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_feature_agglomeration_vs_univariate_selection_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_feature_agglomeration_vs_univariate_selection.py`

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      <div class="sphx-glr-thumbnail-title">Feature agglomeration vs. univariate selection</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Example builds a swiss roll dataset and runs hierarchical clustering on their position.">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_ward_structured_vs_unstructured_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_ward_structured_vs_unstructured.py`

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      <div class="sphx-glr-thumbnail-title">Hierarchical clustering: structured vs unstructured ward</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Clustering can be expensive, especially when our dataset contains millions of datapoints. Many ...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_inductive_clustering_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_inductive_clustering.py`

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      <div class="sphx-glr-thumbnail-title">Inductive Clustering</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The plot shows:">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_cluster_iris_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_cluster_iris.py`

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      <div class="sphx-glr-thumbnail-title">K-means Clustering</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example uses a large dataset of faces to learn a set of 20 x 20 images patches that consti...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_dict_face_patches_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_dict_face_patches.py`

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      <div class="sphx-glr-thumbnail-title">Online learning of a dictionary of parts of faces</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Plot Hierarchical Clustering Dendrogram">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_agglomerative_dendrogram_thumb.png
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  :ref:`sphx_glr_auto_examples_cluster_plot_agglomerative_dendrogram.py`

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      <div class="sphx-glr-thumbnail-title">Plot Hierarchical Clustering Dendrogram</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example uses spectral_clustering on a graph created from voxel-to-voxel difference on an i...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_coin_segmentation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_coin_segmentation.py`

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      <div class="sphx-glr-thumbnail-title">Segmenting the picture of greek coins in regions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Silhouette analysis can be used to study the separation distance between the resulting clusters...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_kmeans_silhouette_analysis_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_kmeans_silhouette_analysis.py`

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      <div class="sphx-glr-thumbnail-title">Selecting the number of clusters with silhouette analysis on KMeans clustering</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, an image with connected circles is generated and spectral clustering is used t...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_segmentation_toy_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_segmentation_toy.py`

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      <div class="sphx-glr-thumbnail-title">Spectral clustering for image segmentation</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="An illustration of various linkage option for agglomerative clustering on a 2D embedding of the...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_digits_linkage_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_digits_linkage.py`

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      <div class="sphx-glr-thumbnail-title">Various Agglomerative Clustering on a 2D embedding of digits</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how one can use KBinsDiscretizer to perform vector quantization on a set of ...">

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  .. image:: /auto_examples/cluster/images/thumb/sphx_glr_plot_face_compress_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_cluster_plot_face_compress.py`

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      <div class="sphx-glr-thumbnail-title">Vector Quantization Example</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_examples/cluster/plot_kmeans_digits
   /auto_examples/cluster/plot_coin_ward_segmentation
   /auto_examples/cluster/plot_mean_shift
   /auto_examples/cluster/plot_adjusted_for_chance_measures
   /auto_examples/cluster/plot_agglomerative_clustering
   /auto_examples/cluster/plot_agglomerative_clustering_metrics
   /auto_examples/cluster/plot_kmeans_plusplus
   /auto_examples/cluster/plot_bisect_kmeans
   /auto_examples/cluster/plot_color_quantization
   /auto_examples/cluster/plot_birch_vs_minibatchkmeans
   /auto_examples/cluster/plot_cluster_comparison
   /auto_examples/cluster/plot_linkage_comparison
   /auto_examples/cluster/plot_mini_batch_kmeans
   /auto_examples/cluster/plot_dbscan
   /auto_examples/cluster/plot_hdbscan
   /auto_examples/cluster/plot_optics
   /auto_examples/cluster/plot_affinity_propagation
   /auto_examples/cluster/plot_kmeans_assumptions
   /auto_examples/cluster/plot_kmeans_stability_low_dim_dense
   /auto_examples/cluster/plot_digits_agglomeration
   /auto_examples/cluster/plot_feature_agglomeration_vs_univariate_selection
   /auto_examples/cluster/plot_ward_structured_vs_unstructured
   /auto_examples/cluster/plot_inductive_clustering
   /auto_examples/cluster/plot_cluster_iris
   /auto_examples/cluster/plot_dict_face_patches
   /auto_examples/cluster/plot_agglomerative_dendrogram
   /auto_examples/cluster/plot_coin_segmentation
   /auto_examples/cluster/plot_kmeans_silhouette_analysis
   /auto_examples/cluster/plot_segmentation_toy
   /auto_examples/cluster/plot_digits_linkage
   /auto_examples/cluster/plot_face_compress