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# Explanatory Guide to Clustering in Data Mining – Definition, Applications & Algorithms

## Introduction – What is Data Mining and Clustering?

Various organizations have humungous data at hand and there’s a reason why these organizations choose to store it. They use this data to extract some insights from the data which can help them in increasing their profitability. The process of extracting the insights and underlying patterns from the raw data set is known as Data Mining. One of the ways to extract these insightful patterns is Clustering.

Clustering refers to the grouping of data points that exhibit common characteristics. In other words, it is a process that analyses the data set and create clusters of the data points. A cluster is nothing but a grouping of such similar data points. In the processing of clustering, the data points are first grouped together to form clusters and then labels are assigned to these clusters.

To perform clustering on the data set, we generally use unsupervised learning algorithms as the output labels are not known in the data set. Clustering can be used as a part of exploratory data analysis and can be used for modelling to obtain insightful clusters. The clusters should be optimized in such a manner that the distance between the data points inside a cluster should be minimal and the distance amongst the different clusters should be as far as possible.

## Why use Clustering? – Uses of clustering

1. The better interpretation of the data – Using clustering, the patterns which are extracted from the data set can be easily understood by the layman people and hence they can be interpreted easily.
2. Insights from high dimensional data – The high dimensional data sets are not easy to analyze just by looking at its feature. Using clustering can help in providing some insights and extracting some patterns from the huge data. It can provide some summary which might be useful in solving some questions.
3. Discovering arbitrary clusters – With the help of different clustering methods, we can find clusters that can take any random shape. This can help in obtaining the underlying characteristics of the data set.

## Types of Clustering in Data Mining

There are distinctly the following two types of clustering in data mining:

• Hard Clustering

A particular data point in an n-dimensional space is limited to belonging to a single cluster under hard clustering. This is often referred to as exclusive clustering. The K-Means clustering process is a type of hard clustering.

A data scientist may arrange clusters in a collection of data so that a fraction of the overall number of clusters is used for any specific dataset. This suggests that a rigid grouping of datasets is necessary to organize and categorize data appropriately.

• Soft Clustering

Soft clustering is one of the types of clustering in data mining. Compared to hard clustering, which needs specific information to be associated with just one cluster at one point, soft clustering applies another set of rules.

When using soft clustering, a particular data point may be an element of multiple clusters at once. This indicates that a fuzzy categorization of datasets characterizes soft clustering. Unsupervised fuzzy clustering algorithms are known for organizing information into soft clusters in machine learning algorithms.

### Real-life use cases of Clustering – Applications

1. Your company has launched a new product and you are in charge of ensuring that the product reaches out to the right group of people so that your company can achieve maximum profitability. In this case, identifying the right type of people is the problem at hand. You can perform clustering on the customer database to identify the right group of people by analyzing their purchasing patterns.
2. Your company has tons of non-categorized images and your supervisor asks you to group them according to the contents of the images. You can use clustering to perform image segmentation on these images. You can also use clustering if they ask you to extract some patterns from the existing data.

## Applications of Cluster Analysis in Data Mining

Some of the well-known and employed applications of cluster analysis are as follows:

• Recommendation System

The recommendation system is a highly prevalent approach for offering machine-generated personalized recommendations regarding goods, services and data.

The clustering process in this approach gives an understanding of consumers who share similar interests. The efficiency of collaborative filtering techniques is enhanced by utilizing the computation/estimation using input from numerous individuals. And this method may be used in various applications to generate suggestions.

• Social Network Analysis (SNA)

It uses networks and graph theory to examine the qualitative and quantitative aspects of societal structures.

Clustering strategies are essential in these evaluations since they allow us to map out and quantify the relationships and disagreements between individuals, organizations, businesses, computer systems, and all other related knowledge or information units.

• Data Science

Data science makes use of cluster analysis on an extensive basis. Cluster analysis is significant for analyzing qualitative and quantitative data because it organizes data and groups data points into distinct clusters.

Whenever it pertains to cluster analysis in data mining, the initial step is more effective in isolating data elements and organizing them based on their similarities.

• Marketing

Marketing professionals can simply segment the marketplace and organize their target population using cluster analysis for increased marketing effectiveness.

Additionally, clustering facilitates categorizing commodities according to their uniformity to create an organized picture of products sold to consumers on a wide scale.

• Genomics

Clustering in data mining can also be applied to categorize genes with similar functions, identify plant and animal taxonomies, and understand the innate structure of populations.

• Geographical Studies

The recognition of analogous land masses in an earth observational database and the clusters of houses in an area based on residence type, value, and locality are a couple of instances of how clustering employs image segmentation to facilitate the process.

## Different types of Clustering methods – Algorithms

1. Hierarchical Clustering Method

This method groups or divides the clusters based upon the selected distance metric like Euclidean distance, Manhattan distance, etc. It is generally represented using a dendrogram. It creates a distance matrix between all the clusters which indicates the distance between them. Using this distance metric, the linkage between the clusters is done based upon the type of linkage.

As there can be many data points in a cluster, the distances between all the points from one cluster to all the ones in another cluster will be different. This makes it difficult to decide which distance should be considered which will decide the merging of the clusters. To tackle this, we use the linkage criteria to determine which clusters should be linked. There are three common types of linkages: –

• Single Linkage – The distance between the two clusters is represented by the shortest distance between points in those two clusters.
• Complete Linkage – The distance between the two clusters is represented by the maximum distance between points in those two clusters.
• Average Linkage – The distance between the two clusters is represented by calculating the average distance between points in those two clusters.

Agglomerative Approach – It is also called the Bottom-Up approach. Here, every data point is considered to be a cluster at the initial phase and then it merges these clusters one by one.

Divisive Approach – It is also called a Top-Down approach. Here, all the data points are considered as one cluster at the initial phase and then these data points are divided to create more clusters.

2. Partitioning Clustering Method

This method creates clusters based on the characteristics and similarities among the data points. The algorithms using this methodology requires the number of clusters to be created as input. These algorithms then follow an iterative approach to create those number of clusters. Some of the algorithms following this methodology are as follows: –

• K-Means Clustering

K-Means uses distance metrics like Manhattan distance, Euclidean distance, etc to create the number of clusters specified. It calculates the distance between the data points and the centroid of the clusters. The data points are then assigned to the closest clusters and the centroid of the cluster is re-computed. Such iterations are repeated until the pre-defined number of iterations are completed or the centroids of the clusters do not change after the iteration.

• PAM (Partitioning Around Medoids)

Also known as the K-Medoid algorithm, this working of this algorithm is similar to that of K-Means. It differs from the K-Means in terms of how the centre of the cluster is assigned. In PAM, the medoid of the cluster is an actual data point whereas in K-Means it computes the centroid of the data points which may not be the co-ordinates of an actual data point. In PAM, k data points are randomly selected as the medoids of the clusters and the distance is computed between all the data points and the medoids of the clusters.

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3. Density-Based Clustering Method

This method creates clusters based upon the density of the data points. The regions become dense as more and more data points lie in the same region and these regions are considered clusters. The data points which lie far from the dense regions or the areas where the data points are very less in numbers are considered outliers or noise. Following algorithms are based upon this methodology: –

• DBSCAN (Density-Based Spatial Clustering of Applications with Noise): – DBSCAN creates clusters based upon the distance of the data points. It groups together the data points which are in the same neighbourhood. To be considered as a cluster, a specific number of data points must reside in that region. It takes two parameters – eps and minimum points – eps indicate how close the data points should be to be considered as neighbours and minimum points are the number of data points that must reside within that region to be considered as a cluster.
• OPTICS (Ordering Points to Identify Clustering Structure): – It is a modification of the DBSCAN algorithm. One of the limitations of the DBSCAN algorithm is its inability to create meaningful clusters when the data points are equally spread in the data space. To overcome this limitation, the OPTICS algorithm takes in two more parameters – core distance and reachability distance. Core distance indicates whether the data point is a core point by defining a value for it. Reachability distance is defined as the maximum of core distance and the value of distance metric used for calculating the distance between two data points.

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4. Grid-Based Clustering Method

The ideology of this method is different from the rest of the commonly used methods. This method represents the entire data space as a grid structure, and it comprises multiple grids or cells. It follows more of a space driven approach rather than a data-driven approach. In other words, it is more concerned about the space surrounding the data points rather than the data points themselves.

Due to this the algorithm converges faster and provides a huge reduction in the computational complexity. In general, the algorithms initialize clustering by dividing the data space into the number of cells thereby creating a grid structure. Then it calculates the density of these cells and sorts them according to their densities. Algorithms like STING (Statistical Information Grid Approach), WaveCluster, CLIQUE (Clustering in Quest) come under this category.

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5. Model-Based Clustering Method

This method assumes that the data is generated by a mixture of probability distributions. Each of these distributions can be considered as a cluster. It tries to optimize the fit between the data and the model. The parameters of the models can be estimated by using algorithms like Expectation-Maximization, Conceptual Clustering, etc.

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6. Constraint-Based Clustering Method

This method tries to find clusters that satisfy user-oriented constraints. It comes under the class of semi-supervised methodology. This methodology allows users to create clusters based on their preferences. This comes in handy when we are looking for some clusters with specific characteristics.

But during this process, as the clusters formed are focused on the user preferences, some underlying characteristics and insightful clusters may not be formed. The algorithms that follow this approach are COP K-Means, PCKMeans (Pairwise Constrained K-Means), and CMWK-Means (Constrained Minkowski Weighted K-Means).

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## Conclusion

Clustering algorithms have proved to be very effective in providing insights from the data for business productivity. The common algorithms used in the various organizations may provide you with expected results, but the unorthodox ones are also worth a try. This article focused on what clustering is and how can it be used as a part of data mining. It also enlisted a few of the uses of clustering, how clustering can be used in real life, and the different types of methods in clustering.

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AGNES begins by recognising that every data point will have its own cluster, and even if there are n data rows, the algorithm will start with n clusters. Then, iteratively, clusters that are the most similar are joined to form a larger cluster, depending on the distances measured in DIANA. Iterations are carried out until we get a single large cluster containing all of the data points.
1. Although the user must define a division threshold, no prior knowledge of the number of clusters is required.
2. Simple to apply across a variety of data types and known to produce reliable results for data obtained from a variety of sources. As a result, it has a wide range of applications.
1. Cluster division (DIANA) or combination (AGNES) is quite rigorous, and once done, it cannot be reversed or re-assigned in subsequent iterations or re-runs.
2. It has a high temporal complexity for all n data points, in the order of O(n^2logn), and so cannot be utilised for larger datasets.
3. Unable to deal with outliers and noise

### What is Expected Maximization in GMM?

We presume that the data points match a Gaussian distribution in Gaussian Mixed Models, which is never a constraint in comparison to the restrictions in the prior approaches. Furthermore, this hypothesis can lead to critical cluster shape selection criteria — that is, cluster forms can now be measured. The two most frequent and easy metrics – mean and variance – are used to quantify the data.
Expectation-Maximization, a type of optimization function, is used to determine the mean and variance. This function begins with a set of random Gaussian parameters, such as, and checks whether the Hypothesis affirms that a sample belongs to cluster c. After that, we go on to the maximising step, which involves updating the Gaussian parameters to suit the points allocated to the cluster. The goal of the maximisation stage is to increase the probability that the sample belongs to the cluster distribution.

### What are the applications of clustering?

Let's take a look at some of the business uses of clustering and how it fits into Data Mining.
1. It is the foundation of search engine algorithms, requiring that objects that are similar to each other be given together and that objects that are dissimilar be ignored.
2. Clustering algorithms have demonstrated their effectiveness in detecting malignant cells from various medical imaging using image segmentation in bioinformatics, removing human errors and other bias.
3. Clustering has been utilised by Netflix to create movie suggestions for its viewers.
4. Cluster analysis, which divides articles into a group of related subjects, can be used to summarise news.
5. Job seekers' resumes can be divided into categories depending on a variety of variables such as skill sets, experience, strengths, project types, expertise, and so on, allowing potential employers to connect with the right people.

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