In this article, we will show you everything about the cloud-based web tool Microsoft Power Platform and why you shouldn’t do without it.
Cloud-based web development has gained popularity in the web development industry in recent years. The globalization of the workforce and the diversification of the work process have significantly driven the development of cloud-based services.
What is Microsoft Power Platform?
With Power Platform you get an integrated application platform consisting of a group of different Microsoft products with which you can develop complex business solutions. This way you can make your business processes more efficient and productive. The platform can also take care of data storage, entry and processing. Data analysis via complex visualizations and predictions can also be handled by various services.
Microsoft Power Platform Services
Since the Power Platform is a collection of different Microsoft services, we want to give you an overview of the individual parts.
Build your own Apps
With Power Apps you get a user suite for mapping custom apps. All apps are independent of data sources and can be extended by you as you wish via drag & drop. This way you can adapt them to your needs.
Automate your tasks
Power Automate was still called Microsoft Flow until 2019. This web tool lets you automate recurring tasks and simple cross-platform workflows. You can connect to over 100 third-party systems via connectors. This allows you to automate processes outside the Microsoft environment and across applications.
Analyze your business data
With Power BI you get a business intelligence tool. With this you can access different data sources. An advantage to other BI tools is the deep integration with Excel. So you can create user-friendly, data connections and visualize.
Should I choose Microsoft Power Platform?
You need more and more scalable and secure solutions at low cost. Device-independent access to important planning and evaluation software will increasingly become the focus of attention and change global corporate structures. To turn your company into an Industry 4.0 enterprise, you can no longer avoid cloud solutions.
The question is not: if, but when you will choose a corresponding service. The question is not: if, but when you will choose a corresponding service. Microsoft, as one of the largest IT companies, now presents you with a solution. Whether it fits your needs, however, you must ultimately decide for yourself.
Array vs Object – JSON is one of the most popular data formats. However, the creation of such an object is done according to some rules. These rules depend on the original data type. In this article we will introduce you to the conversion of some JSON data types (Array vs Object).
What is JSON anyway?
You can best compare the JSON data structure to XML and YAML, only it’s simpler and more compact.
What are the basic rules?
Data Formats – JSON Array vs Object
Basically, you can have different data types included in JSON.
Your JSON value can take one of the following allowed types.
A JSON object represents the basic form of a JSON text. With this you can accept any data type that is suitable for inclusion in JSON.
JSON Array vs Object – It is possible to include an array. Arrays can contain objects, strings, numbers, arrays and boolean. You can include arrays as shown schematically below, enclosed with two square brackets.
In this way, you can further and further nest the individual data types with each other and thus easily create any number of hierarchy levels. For example, object attributes can consist of arrays, or arrays can contain multiple objects.
As a data scientist, you have several basic tools at your disposal, which you can also apply in combination to a data set. Here we present some clustering algorithms that you should definitely know and use
In times of Big Data, not only the sheer number of data increases, but also the relationships between them. More and more complex dependencies are formed. This makes it all the more difficult to recognize these similar properties and to assign the data to so-called clusters in a way that can be evaluated.
You have certainly heard of these algorithms and maybe used one or the other, but do you really know what clustering algorithms are?
What are clustering algorithms?
So let’s first clarify what these algorithms are in the first place. The goal is clear: You want to identify similar properties between individual data points in a data set and group them in a meaningful way. These properties are often high-dimensional.
With the help of cluster analysis, you want to reduce this high-dimensional information to a low-dimensional dependency. So, for example, a representation in 2D space. Clustering is an unsupervised machine learning technique and in the end you classify the data points by using algorithms.
The approach to clustering differs from technique to technique. All have their advantages and disadvantages, so it makes sense to try several on one set of data, or apply them in combination. Below we will introduce you to some popular clustering methods and explain their grouping approach.
The first algorithm we want to introduce you to is Mean-Shift Clustering. With this you can find dense areas of data points according to the concept of kernel density estimation (KDE). The basis of the clustering is a circular sliding window, which moves towards higher density at each iteration. Within the window, the centers of each class are determined, called centroids.
The movement is now created by moving the center to the average of the points within the window. The density within the sliding window is thus proportional to the number of points within it. This motion continues until there is no direction in which the motion can take more points within the kernel.
Hierarchical Cluster Analysis (HCA)
With HCA, clusters are formed based on empirical similarity measures of the data points. This means that the two most similar objects are assigned one after the other until all objects are in one cluster. This results in a tree-like structure. In contrast to the K-means algorithm, which we will discuss later, similarities between the clusters play a role. These are represented by a cluster distance. With K-means, only all objects within a collection are similar to each other, while they are dissimilar to objects in other clusters.
You can create an HCA in different ways. There are two elementary procedures, the top-down and the bottom-up. If you want to know more about Hierarchical Cluster Analysis, read this article.
Expectation-Maximization (EM) Clustering using Gaussian Mixture Models (GMM)
GMM basically assumes that the data points are Gaussian and not circular. The clusters are described by their mean and standard deviation. Each Gaussian distribution is randomly assigned to a single cluster and found using the Expectation-Maximization (EM) optimization algorithm. The probability of belonging to a cluster is then calculated for each data point. Thus, the closer a point is to the Gaussian center, the more likely it is then to belong to that cluster. Based on these probabilities, a new set of parameters for the Gaussian distributions is iteratively calculated. That is, the probabilities within a cluster are maximized.
K-Means clustering algorithms
The k-Means algorithm described by MacQueen, 1967 goes back to the methods described by Lloyd, 1957 and Forgy, 1965. You can use the algorithm besides cluster analysis also for vector quantization. Here, a data set is partitioned into k groups with equal variance.
The number of clusters must be specified in advance. Each disjoint cluster is described by the average of all contained samples. The so-called cluster centroid.
Each centroid is updated to represent the average of its constituent instances. This is done until the assignment of instances to the clusters does not changes any more. If you want to learn more about the K-means algorithm, check this out.
Density-Based Spatial Clustering of Applications with Noise (DBSCAN)
DBSCAN is a density-based cluster analysis with noise. From an arbitrary starting data point, neighborhood points are specified at a distance epsilon. Clustering then begins from a certain neighborhood data point count.
The current data point becomes the first point of the new cluster, or referred to as noise. In both cases, however, it is considered to be examined. The neighboring data points are then added to the cluster. Once all neighbors have been added, a new, unexamined point is called and processed. A new cluster is thus formed.
The field of cluster algorithms is wide and everyone’s approach is different. You should be aware that there is no one solution. You have to consider each algorithm as another tool. Not every technique works equally well in every situation.
The key here is to always understand the basic approach of each algorithm you want to use. Build a small portfolio and get to know these techniques well. Once you master them, you should then add new ones. Knowing your own tools is crucial to avoid try and error and to gain control over your data. Remember: no result is a result. Your added value here is that even if an algorithm doesn’t work well on your data set, it will give you information about the data properties.
Data Mining vs Big Data Analytics – Both data disciplines, but what makes them different? In this article, we introduce you to both fields and explain the key differences.
Data Science is an interdisciplinary scientific field, as it has become more and more in focus in the last decades. Many companies see this as the key to an Industry 4.0 company. The hope is that valuable information can be found in the company’s own data, which can be used to massively increase its own profitability. Terms such as big data, data mining, data analytics and machine learning are being thrown into the ring. Many people do not realize that these terms describe other disciplines. If you want to build a house, you need the right tools and you have to know how to use them.
Map of Data Disciplines
First of all, you should think of the individual disciplines as being layered into each other like an onion. So there is overlap between all the fields and when you talk about a discipline, you are also talking about lower layers.
Since data analytics is located above data mining in the layer model, it is already clear that mining must be a sub discipline of analytics. Therefore, we will first describe the comprehensive discipline.
Data Mining vs Big Data Analytics – What is Analytics?
Big data analytics, as a sub field of data analysis, describes the use of data analysis tools and without special data processing. in data analytics, you use queries and data aggregation methods, but also data mining techniques and tools. The goal of this discipline is to represent various dependencies between input variables.
The goal of this discipline is to represent various dependencies between input variables. The following figure shows the individual overlaps in the use of the tools of the different disciplines.
Data Mining vs Big Data Analytics – What is Data Mining?
Data mining is a subset of data analytics. At its core, it is about identifying and discovering a large data set through correlations. Especially if you know little about the available data this field should be used.
But what does a typical data mining process look like and what are typical data mining tasks?
Data Mining Process
You can divide a typical data mining process into several sequential steps. In the preprocessing stage, your data is first cleaned. This involves integrating sources and removing inconsistencies. Then you can convert the data into the right format. After that, the actual analysis step, the data mining, takes place.Finally, your results have to be evaluated. Expert knowledge is required here to control the patterns found and the fulfillment of your own objectives.
The term data mining covers a variety of techniques and algorithms to analyze a data set. In the following we will show you some typical methods.
Data Mining Tasks
Besides identifying unusual data sets with outlier detection, you can also group your objects based on similarities using cluster analysis. In this article we have already summarized some popular clustering algorithms that you should know as a data scientist. While association analysis only identifies the relationships and dependencies in the data, regression analysis provides you with the relationships between dependent and independent variables. Through classification, you assign elements that were not previously assigned to classes to existing classes. You can also summarize the data to reduce the data set to a more compact description without significant loss of information.
Data Mining vs Big Data Analytics – Conclusion
Although the two disciplines are related, they are two different disciplines. Data mining is more about identifying key data relationships, patterns or trends in the data, while data analytics is more about deriving a data-driven model. On this path, data mining is an important step in making the data more usable. In the end, it’s not a versus, but both disciplines are part of an analytics pipeline. In this article, we will go further into the differences between the various data sciences and clarify the difference between data analysis and data science.
In this article we will explain everything you need to know about Apache Avro, an open source big data serialization solution and why you should not do without it.
You can serialize data objects, i.e. put them into a sequential representation, in order to store or send them independent of the programming language. The text structure reflects your data hierarchy. Known serialization formats are for example XML and JSON. If you want to know more about both formats, read our articles on the topics. To read, you have to deserialize the text, i.e. convert it back into an object.
In times of Big Data, every computing process must be optimized. Even small computing delays can lead to long delays with a correspondingly large data throughput, and large data formats can block too many resources. The decisive factors are therefore speed and the smallest possible data formats that are stored. Avro is developed by the Apache community and is optimized for Big Data use. It offers you a fast and space-saving open source solution. If you don’t know what Apache means, look here. Here we have summarized everything you need to know about it and introduce you to some other Apache open source projects you should know about.
Apache Avro – Open Source Big Data Serialization Solution
With Apache Avro, you get not only a remote procedure call framework, but also a data serialization framework. So on the one hand you can call functions in other address spaces and on the other hand you can convert data into a more compact binary or text format. This duality gives you some advantages when you have cross-network data pipelines and is justified by its development history.
Avro was released back in 2011 as a part of Apache Hadoop. Here, Avro was supposed to provide a serialization format for data persistence as well as a data transfer format for communication between Hadoop nodes. To provide functionality in a Hadoop cluster, Avro needed to be able to access other address spaces. Due to its ability to serialize large amounts of data, cost-efficiently, Avro can now be used Hadoop-independently.
You can access Avro via special API’s with many common programming languages (Java, C#, C, C++, Python and Ruby). So you can implement it very flexible.
In the following figure we have summarized some reasons what makes the framework so ingenious. But what really makes Avro so fast?
What makes Avro so fast?
The trick is that a schema is used for serialization and deserialization. About that the data hierarchy, i.e. the metadata, is stored separately in a file. The data types and protocols are defined via a JSON format. These are to be assigned unambiguously by ID to the actual values and can be called for the further data processing constantly. This schema is sent along with the data exchange via RPC calls.
Creating a schema registry is especially useful when processing data streams with Apache Kafka.
Apache Avro and Apache Kafka
Here you can save a lot of performance if you store the metadata separately and call it only when you really need it. In the following figure we have shown you this process schematically.
When you let Avro manage your schema registration, it provides you with comprehensive, flexible and automatic schema development. This means that you can add additional fields and delete fields. Even renaming is allowed within certain limits. At the same time, Avro schema is backward and forward compatible. This means that the schema versions of the Reader and Writer can differ. Schema registration management solutions exist, with Google Protocol Buffers and Apache Thrift, among others. However, the JSON data structure makes Avro the most popular choice.
What does HCA stand for? What is the difference between Agglomerative and Divisive? When do I use the algorithm and what are its strengths? In this article we will clarify all these questions.
If you don’t know what clustering means, check out this article. Here we also explain four other clustering methods that you as a data scientist must know.
What is an HCA?
Hierarchical Cluster Analysis, or HCA, is a technique for optimal and compact connection of objects based on empirical similarity measures. The two most similar objects are assigned one after another until all objects are finally in one cluster. This then results in a tree-like structure.
So how does a hierarchical cluster procedure work?
Agglomerative vs Divisive Calculation
The basic clustering can be done in two opposite ways, Agglomerative and Divisive calculation.
Agglomerative Nesting, abbreviated AGNES, is also known as the bottom-up method. This method first creates a cluster between two objects with high similarity, and then adds more clusters until all the data has been enclosed.
The divisive cluster calculation follows an opposite concept.
Divisive hierarchical clustering:
Divise Analysis, also known as DIANA, is a top-down method. All objects are directly framed into a cluster and then reduced in size.
In the following figure, the agglomerative process is compared with the divisive process.
Thus, the goal is to represent the common properties in low dimension in multidimensional raw data. A strength of this machine learning method is the inclusion of cluster relationships. With K-means, only all objects within a collection are similar to each other, while they are dissimilar to objects in other clusters. If you want to know more about this other popular clustering method, read this article.
How to calculate the cluster distances?
As mentioned earlier, not only are similarities between data points in a cluster weighted, but also similarities between groups. These similarities are represented by distances between the clusters. These distances can be determined in different ways. The distance between the centroids of two clusters can be calculated. A single linkage is the shortest distance between two clusters, a complete linkage is the largest distance between two clusters and an average linkage is the average distance between two clusters.
The figure below contrasts each cluster distance calculation method.
In addition to the planar representation, the HCA can also be represented in a dendrogram.
HCA represented in a Dendrogram
Since an HCA describes a tree structure, it can be well represented in a dendrogram. Here the connections between the individual data elements and the connections between the clusters become well visible. This diagram can help to choose the optimal number of clusters in the data depending on where you intersect the tree.
In the following figure, for example, such a dendrogram is shown in dependence on Agglomerative and Divisive Calculation.
IaaS vs PaaS vs SaaS – terms that categorize clouds, but what exactly do they mean? In this article, we contrast all three and explain the differences.
In almost all areas, the cloud is becoming more and more important. Increasingly, the cloud is also becoming interesting for business processes. Everyone is talking about it, but what is it actually?
What is the cloud anyway?
The cloud basically means the use of different servers. This means that your data can be hosted online, i.e. stored, managed and processed. So you don’t have to provide the appropriate hardware on site, but can rent these resources from a cloud provider. Read our article about the cloud computing provider AWS. Besides Amazon, other global players such as Google (Google Cloud) and Microsoft (Azure) also offer profitable cloud resources. But which ones are suitable for me or my company? To meaningfully compare the individual solutions, you need to understand the differences between them. Basically, you need to distinguish between the three categories already mentioned.
IaaS vs PaaS vs SaaS – What are the Differences?
First and foremost, all three terms are used to describe a resource provided by a cloud service provider for a short period of time. The following figure shows this “as-a-service”, or Flexible consumption model, and the management components..
You can see very clearly here that the cloud provider manages more and more layers, ascending from IaaS to SaaS.
Software as a Service (SaaS)
The abbreviation SaaS refers to cloud-based software. This is hosted online by a company and provided via the Internet. It is easy to use and manage. Additionally, it is highly scalable, meaning it can be used for an entire organization.
Platform as a Service (PaaS)
PaaS is used to describe a cloud-based platform service. This offers developers an online platform for application development. Data is provided, stored and managed online.s
Infrastructure as a Service (IaaS)
IaaS refers to cloud-based infrastructure resources provided via virtualization technologies. These services are designed to help companies build and manage their servers, networks, operating systems and data storage. This is where the highest administrative share lies with the customer. Access to the servers for data management takes place via a dashboard or API.
IaaS vs PaaS vs SaaS – For whom is which category suitable?
So who should choose which service model? The following figure shows that the more tasks are taken over by the provider, the more control is relinquished. This is especially detrimental in organizations where a lot of control is needed.
IaaS gives administrators more direct needed, control over operating systems. However, more control always comes with more complicated administration tasks. PaaS therefore offers users a certain compromise between flexibility and ease of use. This model is particularly appealing to developers. The SaaS model offers the highest level of usability and is accordingly interesting for customers who want to take over no to few administrative tasks.
IaaS vs PaaS vs SaaS – Technology of the future?
Cloud resources can be a valuable alternative to expensive, in-house hardware solutions. Of course, with external administration, a company loses control over its own data. However, the different types of service mean that compromises can be made that are tailored to the company’s own needs.
The advantages are obvious. Individual services can be accessed from virtually anywhere at any time, and high-performance computing can be operated cost-effectively. As network technologies become faster and faster, these solutions are increasingly coming into focus and will certainly become more and more important for companies and private individuals in the coming years.
Matplotlib vs Seaborn – Matplotlib is often the first choice when it comes to creating mathematical plots with Python. But is it always the best choice? With Seaborn there is a potent competitor.
Matplotlib was developed by John D. Hunter back in 2003 and has become indispensable. Due to the increasing importance of the Python programming language in almost all scientific areas, the importance of fully compatible visualization methods is also growing.
Due to its open source concept, Matplotlib can be used absolutely free of charge and is a basic component of many popular Python distribution platforms, such as Anaconda.
The library offers a MATLAB-like interface and can be used in combination with NumPy, Pandas and Scipy, just like MATLAB.
SciPy is a collection of mathematical algorithms and convenience functions and is mainly used by scientists, analysts and engineers for scientific computing, visualization and related activities. NumPy allows easy handling of vectors, matrices, or large multidimensional arrays in general. NumPy’s operators and functions are optimized for multidimensional array operations and evaluate particularly efficiently.
Pandas is also an open source Python library that can be used to perform data analysis and manipulation efficiently. Its strength lies in the processing and evaluation of tabular data and time series.
These components, which are absolutely compatible with each other, offer in their entirety an absolutely free, but fully comprehensive alternative to the commercial analysis software MATLAB.
Python Matplotlib – What are the features?
The library offers a wide range of visualization functions. Some of them are listed in the figure below.
Matplotlib is designed to effectively visualize the results of mathematical calculations. Visualization is an efficient and important data analysis tool. The library is able to generate all the usual diagrams and figures by default. It is even possible to create animations that can be used to better understand the flow of certain algorithms.
Matplotlib offers an important feature with event handling. Behind the name is a UI-neutral event model. This allows the library to connect to events without knowing which UI Matplotlib will eventually plug into.
This allows me to develop a very flexible and portable code. However, the events can then be used to transfer things like the data coordinate.
PyLab vs Pyplot
PyLab is a collection of functions that is installed together with Matplotlib and make the library work like MATLAB. The module brings a set of NumPy functions and classes into the namespace. This makes them accessible without having to import them. However, this often led to conflicts between individual Matplotlib functions. For this reason, the use of PyLab is now no longer recommended. Pyplot is a module in Matplotlib and provides the state-machine interface to the underlying plotting library.
The conflicts are prevented because an import is done with Pyplot and a separate NumPy import.
Python Matplotlib –Third party packages
If the standard library features are not enough, you can extend Matplotlib with additional external packages. In the following figure some of the possible extensions are listed and grouped by application.
These external packages must be installed individually and extend the functionality of the plotting library, or build on existing features. They sometimes offer more complex graphics or higher performance data analysis methods. Most of these packages are open source and are constantly updated by very active communities.
Matplotlib also has weaknesses
Matplotlib is not perfect despite the wide feature set. For example, only poor default options for the size and colors of plots are offered. Matplotlib is often considered to be a low-level technology compared to today’s requirements. Thus, very specialized code is needed to generate appealing plots.
What is Seaborn?
Seaborn is a Python visualization library, but based on Matplotlib. This library provides a high-level interface for visualization of statistical data and not only has its own graphics library, but internally uses Matplotlib’s functionalities and data structures. It thus offers a variety of additional features besides the śtandard Matplotlib functions.
Among other things, Seaborn provides built-in themes for designing matplotlib graphs and a dataset-oriented API for determining the relationship between variables. It can visualize both univariate and bivariate data and plot statistical time series. Estimation and plotting of linear regression models run automatically and Seaborn, unlike Matplotlib, offers optimization when processing NumPy and Pandas data structures.
So what should you choose?
Especially when it comes to deep statistics, Seaborn clearly has the edge. Matplotlib, however, is often the leaner solution due to its simplicity. So both have their strengths and weaknesses. Which tool you ultimately choose depends on the situation. You can’t do much wrong. With one solution, however, you have more contextual options. But now that you know the differences between the two, this decision will be easier for you.
Data Science vs Data Analysis – What distinguishes both professions from each other? How do your tasks differ? In this article, we will discuss all of these questions.
By now, almost every company, across industries and sizes, has recognized the potential in their own data. Every company wants to access this treasure and gain valuable information in order to develop profitable business strategies. The economy is crying out for experts who can manage and analyze the enormous volumes of data. A trend that is not expected to end in the next 10 years, but rather to grow steadily. So if you decide to enter the industry today and start studying, or if you want to teach yourself, you should first be clear about the differences between these often confusingly named professions. Often, HR professionals don’t even know these differences and look for the wrong profiles.
What are the similarities?
Let’s start with the similarities and the main reasons why both disciplines are often confused with each other.
Both professions deal with large amounts of data from which knowledge is to be extracted for a specific purpose. New insights are to be generated and actions are to be identified.
Map of data disciplines
In order to properly understand the relationships between the data sciences, we need to look at the following figure. The individual disciplines and their relationships to each other are shown here.
The diagram corresponds to an onion-like layering. It is important to understand that all the disciplines listed here are different. Not only are there intersections, but when you talk about a higher level discipline, it includes other, lower level disciplines.
As you can see, both data science and data analysis are ranked very high. So to understand these two disciplines you need to know the other fields as well.
What is Data Science?
When you talk about data science, you are also talking about all other data disciplines. A data scientist is an all-rounder and can apply all interdisciplinary tools and methods. He or she can handle structured and unstructured data and perform data preprocessing in addition to analysis.
What is Data Analysis?
Data analysis is more about using the right data analysis tools. Specialized data processing is not required at this level, but a data analyst must be able to fully master and understand the tools in order to gain new insights from the data.
What is Data Analytics?
Data analytics is primarily about the use of queries and data aggregation methods. The primary question here is: How can different dependencies between input variables be represented? Furthermore, this discipline makes use of data mining techniques and tools.
Data mining uses the predictive power of machine learning by applying various machine learning algorithms to big data to identify new trends in the data.
If you want to know even more about how data mining differs from data analytics, check out this article we wrote on the subject.
Data Science vs Data Analysis – So what are the differences?
So we have found that all data disciplines are similar in many ways and one discipline can imply other disciplines. In order to be able to define the differences precisely, the methods used must be compared with each other. Are programming skills required, or is the business intelligence part higher?
In the following figure, the assignment to both professions is shown once.
Both disciplines lie at the intersection of mathematics, statistics, and development. While data science is characterized by the fact that it consists of all three cornerstones, data analysis lacks the connection to computer science. And that is the biggest difference between the two fields.
Data Science vs Data Analysis – Comparison
Data Science is a branch of Big Data, with the objective of extracting and interpreting information from a huge amount of data. To do this, a data scientist must design and implement mathematical algorithms and predictive models based on statistics, machine learning, and other methods. Data Analysis is the specific application of Data Science. It specifically involves searching raw data sources to find trends and metrics. However, this involves working with larger data sets than in the area of Business Intelligence.
In the following diagram, these differences and the overlaps between the two professions are compared once again.
So what you ultimately decide to do depends on your programming interests. Do you want to develop the analyses yourself, or do you prefer to use specific analysis tools to get more value out of large data sets?
One of the most popular unsupervised clustering methods is the k-means algorithm. It is considered one of the easiest and most cost-effective clustering algorithms to create. It is therefore well suited to identify an overview of possible patterns in data.
What is the principle behind the k-means algorithm? in this article we will explain what is behind this algorithm and how it really works, because, the better you know your data science tools, the better you will be able to analyze your data.
What is k-Means?
The k-means algorithm described by MacQueen, 1967 goes back to the methods described by. Lloyd, 1957 and Forgy, 1965 described methods. The unsupervised machine learning algorithm is used for vector quantification or cluster analysis. If you don’t know what the differences are between supervised, unsupervised and reinforcement methods, read this article on the main machine learning categories.
The following figure shows the basic principle of the k-Means clustering algorithm.
The main goal of unsupervised clustering is to create collections of data elements that are similar to each other, but dissimilar to elements in other clusters.
What is the principle behind the k-means algorithm?
Here, a data set is partitioned into k groups with equal variance. The number of clusters searched for must be specified in advance. Each disjoint cluster is described by the average of all contained samples. The so-called cluster centroid. The following figure shows the cluster center of gravity principle.
Each centroid is updated to represent the average of its constituent instances. This is done until the assignment of instances to clusters does not change.
Applied algorithm process
But how exactly does the algorithm work? First, initial centroids are set. The distances between data instances and centroids are measured and data instances are added as members of the nearest centroid. The centroids are recalculated. If necessary, final centroids are re-measured, re-clustered or re-calculated