The DBSCAN algorithm is a very useful clustering algorithm in Machine Learning. DBSCAN stands for Density-Based Spatial Clustering of Applications with Noise. In this article, I will take you through what is the DBSCAN algorithm in Machine Learning and how it works.

## Introduction to DBSCAN Algorithm in Machine Learning

The main advantages of DBSCAN are that it does not require the user to define the number of clusters a priori, it can capture clusters of complex shapes and it can identify points that are not part of any cluster. DBSCAN is a bit slower than agglomerate clustering and k-means but still accommodates relatively large datasets.

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DBSCAN works by identifying points that are in ācrowdedā regions of feature space, where many data points are close to each other. These regions are called dense regions in feature space. The idea behind DBSCAN is that clusters form dense regions of data, separated by relatively empty regions.

Points in a dense region are called core samples (or core points), and they are defined as follows. There are two parameters in DBSCAN: min_samples and eps. If there are many min_samples or more data points within a distance of eps to a given data point, that data point is classified as a base sample.

Base samples that are closer to each other than the eps distance are placed in the same cluster by DBSCAN.

#### How Does The DBSCAN Algorithm Work?

The DBSCAN algorithm works by choosing an arbitrary point to start. It then finds all the points with a distance eps or less from that point. If there are less than min_samples points within eps distance of the starting point, that point is labeled as noise, which means it does not belong to any cluster.

If there are more min_samples points within a distance of eps, the point is labeled as a base sample and assigned a new cluster label. Then all the neighbours (in eps) of the point are visited. If they have not yet received a cluster, they receive the newly created cluster label.

If these are basic samples, their neighbours are visited in turn, and so on. The cluster grows until there are no more base samples within an eps distance of the cluster. Then another point which has not yet been visited is selected and the same procedure is repeated.

Ultimately, there are three types of points: centre points, points at an eps distance from centre points (called endpoints), and noise. When the DBSCAN algorithm is run multiple times on a particular dataset, the grouping of the centre points is always the same and the same points will always be labeled as noise.

However, an endpoint can be close to the base samples of several clusters. Therefore, membership of the endpoint cluster depends on the order in which the points are visited. Usually, there are only a few endpoints, and this slight dependence on the order of the points is not important.

When using DBSCAN, you should be careful about handling returned cluster assignments. You can learn the hands-on implementation of the DBSCAN algorithm from **here**, which is a machine learning contact tracing task using the DBSCAN algorithm.

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