The Expectation-Maximization (EM) algorithm is a cornerstone in the field of 
machine learning, particularly in the realms of statistical estimation and 
clustering. It can be used as a powerful tool to determine the maximum 
probability estimates of the parameters that are derived from probabilistic 
theories, specifically where the model relies on latent variables that are not 
observed. This EM algorithm is known for its use across a variety of areas like 
natural computer vision, language processing bioinformatics, bioinformatics, 
and many more. Its capability to deal with incomplete data sets and its 
versatility in formulating models make it an essential tool for both 
researchers and professionals.  
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Understanding the EM Algorithm
The EM algorithm is an iterative process to discover the most likely or maximum 
A posteriori (MAP) estimations of the parameters in statistical models, in 
which the model is based on unknown latent variables. The algorithm is based on 
two steps that are called the expectation step (E-step) as well as the 
Maximization step (M-step) which is why it has the name.

Step of Expectation (E-step): In this step, it is where the algorithm 
calculates an expected amount of log-likelihood formula about the conditional 
spread of latent variables, based on the observations of data as well as the 
current estimate of the parameters of the model. This is filling in the data 
that is missing by estimating, which makes the next step of maximization 
computationally feasible.
Maximization Step (M-step): Based on the assumptions computed in this step, the 
M step determines the parameters that will maximize the log-likelihood expected 
during step E. The M-step updates the models' parameters to improve the 
probability of results based on these updated parameters.

The algorithm alternates between the two steps until it reaches a point of 
convergence, which means that the change in the log-likelihood, or parameter 
estimates are below a threshold that is predefined indicating that a local peak 
in the probability function is identified.
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