By Kardi Teknomo, PhD.

About this GMM and EM e-book

Is it possible to perform Gaussian Mixture Model and Expectation-Maximization (EM) algorithm in Excel with mere spreadsheet without macro programming? The answer is YES. This tutorial will explain how to do it step by step.

If you have ever read any other books on Gaussian Mixture Model or EM algorithm, you will know how notoriously difficult it is to understand this topic. It is not the case with this tutorial. This tutorial is for real beginners with more than 70 figures and illustrations. You can enjoy reading the sample of the first few sections of this GMM and EM algorithm tutorial here. You can see that the difficult topics have been transformed into systematic and very simple explanations.  In this e-book, you will learn how to perform step by step create your own model of Gaussian Mixture model in Microsoft Excel. Absolutely, no programming is needed. You will also learn how to analyze the fitness of the Gaussian Mixture Model using Expectation-Maximization (EM) algorithm. Very detail explanation is given to introduce you with the concepts and numerical examples. You will use merely Microsoft Excel spreadsheet without programming to give you better understanding on the full numerical computation. You will see the connection between EM algorithm and Gaussian Mixture Model and k-means clustering. By the end of this tutorial, you will also learn how to solve clustering problem, probability density estimation and maximum likelihood estimation numerically. Through step by step workshop style tutorial, you will learn deeper knowledge of Gaussian Mixture Model and Expectation-Maximization (EM) algorithm with comprehensive numerical example from start to a complete solutions. There is no need for a special software aside from Microsoft Excel spreadsheet.

This e-book and its companion files are designed to greatly enhance your understanding of Gaussian Mixture Model and EM algorithm in very gentle way but fast to learn. With this e-book as your guide, learning becomes easy steps and enjoyable practice moment.

You cannot find information of creating GMM and EM only using Spreadsheet without programming anywhere else!

This tutorial will give you a very gentle introduction to Gaussian Mixture Model and EM algorithm by giving simple step by step numerical solution using Microsoft Excel. You will learn about how you can train the GMM model, how to evaluate and use the GMM model to cluster your data, to find maximum likelihood numerically and get density estimation. By reading and do the practice of the numerical examples of this tutorial to the end, at least you will be able to ready to read other more advanced GMM and EM books.

Why do you need to download this e-book and its companion files NOW?

  • Gain full understanding. Your memory about your new understanding about this fascinating topic is still fresh. If you download it now, you will easily understand the detail of the tutorial. If you do it next time, you might have forgotten the understanding that has gained today.
  • Save your learning time. Your time is very valuable. It saves a lot of your time to do self study on this topic.
  • Understanding this topic will enhance your study, your work, and your research. Eventually you can develop it further to get more money for your future.
  • Tired of ads? By purchasing the FULL tutorial, you will be able to read tutorial in a very nice PDF format without advertising. You can zoom in and out to see the formulas clearly. You can read in any computing device (phone, tablet, PC, laptop, Mac, iPad).
  • The full tutorial also comes in e-book together with the companion files. This option will give you an eye opener to this fascinating topic. It enhances your understanding. The complete tutorial will be your self-study guide to improve your learning process. You can read it off-line anywhere anytime even when you don’t have internet connection.

What you will get when you download it NOW?

In this more than 45 pages Gaussian Mixture and EM algorithm tutorial e-book you will learn, you will learn the following fascinating topics in a very SHORT TIME:

  • Probability Distribution
  • Mixture of Distributions
  • Density Estimation
  • Synthesis of Gaussian Mixture Model
  • Maximum Likelihood
  • EM algorithm
  • Numerical Example of GMM/EM
  • Building Excel Worksheet for Gaussian Mixture Model
  • Excel Iteration
  • Set Up the Initial Values of Parameters
  • How to Build the E-step?
  • How to Compute Probability Density Function?
  • How to Compute Expected Probability of Each Group?
  • How to Build the M-step?
  • How to Compute the Mixing Proportion?
  • How to Compute the centroid of each cluster?
  • How to Compute the spread of each cluster?
  • How to Running the Iteration?
  • How to Find the Hidden Variable of EM?
  • How to Estimating the Maximum Likelihood?
  • How to Plotting the Log Likelihood?
  • Connection GMM and K Means Clustering
  • Evaluating GMM and EM Algorithm
  • Advantage of GMM/EM algorithm
  • Weaknesses of GMM/EM algorithm
  • And many more including questions and answers

See the comparison table below for the options.




Only Companion File

Complete Tutorial (Best Buy)

MS Excel Workbooks with complete solutions for

  • Distribution
  • Synthesis Gaussian Mixture Model
  • Analysis Gaussian Mixture Model using EM algorithm





Free 1 year update of companion files




Nice format of e-book of Gaussian Mixture Model and EM Algorithm in Microsoft Excel in PDF format




Free 1 year update of Gaussian Mixture Model and EM Algorithm in Microsoft Excel






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