K-means Clustering:

K-means Clustering:

K-means is a popular clustering algorithm that aims to partition a dataset into K clusters, where K is a user-defined parameter. It works by iteratively assigning data points to the nearest cluster center and updating the cluster centers to minimize the within-cluster sum of squares. K-means is efficient and works well when clusters are spherical and have roughly equal sizes. It’s widely used for data segmentation, customer segmentation, image compression, and more.

 

K-medoids Clustering:

K-medoids, a variation of K-means, is a clustering algorithm that selects data points as cluster representatives (medoids) rather than the mean of the data in each cluster. K-medoids aims to minimize the total dissimilarity between data points and their respective medoids. This makes K-medoids more robust to outliers and noise compared to K-means. It’s used in scenarios where the mean might not be a suitable representative, such as when working with non-Euclidean distances or categorical data.

 

DBSCAN (Density-Based Spatial Clustering of Applications with Noise):

DBSCAN is a density-based clustering algorithm that identifies clusters as dense regions of data points separated by areas of lower point density. Unlike K-means, DBSCAN does not require the user to specify the number of clusters beforehand. It works by defining core points, which have a minimum number of data points within a specified radius, and connecting these core points to form clusters. Data points that are not part of any cluster are considered outliers. DBSCAN is effective at identifying clusters of arbitrary shapes and is robust to noise. It’s used in applications like anomaly detection, image segmentation, and geographic data analysis.

 

These three clustering algorithms offer different approaches to partitioning data into clusters and are suited to various types of data and applications. K-means and K-medoids are partitional clustering methods, while DBSCAN is a density-based method. The choice of which algorithm to use depends on the data, the desired number of clusters, the shape of the clusters, and the presence of noise or outliers in the dataset

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