k-means clustering

K-means clustering is a popular unsupervised machine learning algorithm used for partitioning a dataset into K distinct, non-overlapping clusters. It assigns data points to clusters based on their similarity, with the goal of minimizing the intra-cluster variance (sum of squared distances between data points within the same cluster) and maximizing the inter-cluster variance.

Key Steps in K-means Clustering:

  1. Initialization:
    • Randomly choose K value  initial cluster centroids.
  2. Assignment:
    • Assign each data point to the cluster whose centroid is closest (Euclidean distance).
  3. Update Centroids:
    • Recalculate the centroids of each cluster based on the mean of the data points assigned to that cluster.
  4. Repeat:
    • Iterate the assignment and centroid update steps until convergence (when centroids no longer change significantly or a set number of iterations is reached).

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