how to find optimal number of clusters in r


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  • The gap statistics
    The expected value is estimated by simulating null reference data of characteristics of the original data, but lacking any clusters in it.
    The optimal number of clusters is then estimated as the value of k for which the observed sum of squares falls farthest below the null reference.

  • How do you choose an optimal cluster?

    The elbow method is a simple and intuitive way to find the optimal number of clusters.
    It involves plotting the sum of squared distances (SSD) of each data point to its closest cluster center against the number of clusters.
    The SSD measures how compact each cluster is, and the lower the SSD, the better.

  • How do you calculate cluster number?

    A simple method to calculate the number of clusters is to set the value to about √(n/2) for a dataset of 'n' points.
    In the rest of the article, two methods have been described and implemented in Python for determining the number of clusters in data mining.

  • How do you find the optimal number of clusters in a dendrogram?

    In the dendrogram locate the largest vertical difference between nodes, and in the middle pass an horizontal line.
    The number of vertical lines intersecting it is the optimal number of clusters (when affinity is calculated using the method set in linkage).

  • The optimal number of clusters can be defined as follow:
    1. Compute clustering algorithm (e.g., k-means clustering) for different values of k.
    2. For each k, calculate the total within-cluster sum of square (wss).
    3. Plot the curve of wss according to the number of clusters k.
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