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Hierarchical clustering algorithm.pptx
Similarity and Distance Measures
Hierarchical Algorithms
• A tree data structure, called a dendrogram, can be used to illustrate
the hierarchical clustering technique
• The root in a dendrogram tree contains one cluster where all
elements are together.
• The leaves in the dendrogram each consist of a single element
cluster.
• Internal nodes in the dendrogram represent new clusters formed
by merging the clusters that appear as its children in the tree.
• Each level in the tree is associated with the distance measure that
was used to merge the clusters.
• All clusters created at a particular level were combined because the
children clusters had a distance between them less than the
distance value associated with this level in the tree
Example
Agglomerative Algorithms
• Agglomerative algorithms start with each individual item in its own
cluster and iteratively merge clusters until all items belong in one
cluster.
• It assumes that a set of elements and distances between them is
given as input adjacency matrix.
• The output of the algorithm is a dendrogram, which produces a set
of clusters rather than just one clustering.
• The user can determine which of the clusters (based on distance
threshold) he or she wishes to use.
• In addition, the technique used to determine the distance between
clusters may vary: Single link, complete link, and average link
techniques
Agglomerative Algorithms
Single Link Technique
• The single link technique is based on the idea of finding connected
components in a graph.
• A connected component is a graph in which there exists a path
between any two vertices.
• With this approach, two clusters are merged if the minimum
distance between any two points is less than or equal to the
threshold distance being considered.
• For this reason, it is often called the nearest neighbor clustering
technique
Example
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Hierarchical clustering algorithm.pptx

  • 3. Hierarchical Algorithms • A tree data structure, called a dendrogram, can be used to illustrate the hierarchical clustering technique • The root in a dendrogram tree contains one cluster where all elements are together. • The leaves in the dendrogram each consist of a single element cluster. • Internal nodes in the dendrogram represent new clusters formed by merging the clusters that appear as its children in the tree. • Each level in the tree is associated with the distance measure that was used to merge the clusters. • All clusters created at a particular level were combined because the children clusters had a distance between them less than the distance value associated with this level in the tree
  • 5. Agglomerative Algorithms • Agglomerative algorithms start with each individual item in its own cluster and iteratively merge clusters until all items belong in one cluster. • It assumes that a set of elements and distances between them is given as input adjacency matrix. • The output of the algorithm is a dendrogram, which produces a set of clusters rather than just one clustering. • The user can determine which of the clusters (based on distance threshold) he or she wishes to use. • In addition, the technique used to determine the distance between clusters may vary: Single link, complete link, and average link techniques
  • 7. Single Link Technique • The single link technique is based on the idea of finding connected components in a graph. • A connected component is a graph in which there exists a path between any two vertices. • With this approach, two clusters are merged if the minimum distance between any two points is less than or equal to the threshold distance being considered. • For this reason, it is often called the nearest neighbor clustering technique
  翻译: