3. Consider the following given data. Sl num 1 2 3 4 LO 5 6 Data...

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3. Consider the following given data. Sl num 1 2 3 4 LO 5 6 Data 16.9 3.7 18.9 5.6 14.1 6.1 [6] It is required to obtain two groups from the above given data into clusters A and B. Both the groups are represented with the Gaussian distribution. For cluster, A is initialized with a mean of 5.0 and standard deviation of 1.0 while cluster B is initialized with a mean of 10.0 and standard deviation of 1.5. Perform the cluster based on the Expectation-Maximization technique assuming the prior probabilities of each cluster A and B is 0.5. Show the two iterations of the Expectation-Maximization technique and each iteration compute the likelihood, posterior probabilities, mean, and variance for each cluster. [6] 3. Consider the following given data. Sl num 1 2 3 4 LO 5 6 Data 16.9 3.7 18.9 5.6 14.1 6.1 [6] It is required to obtain two groups from the above given data into clusters A and B. Both the groups are represented with the Gaussian distribution. For cluster, A is initialized with a mean of 5.0 and standard deviation of 1.0 while cluster B is initialized with a mean of 10.0 and standard deviation of 1.5. Perform the cluster based on the Expectation-Maximization technique assuming the prior probabilities of each cluster A and B is 0.5. Show the two iterations of the Expectation-Maximization technique and each iteration compute the likelihood, posterior probabilities, mean, and variance for each cluster. [6]

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To perform the ExpectationMaximization EM technique for clustering based on the given data we will follow the steps iteratively until convergence Lets go through two iterations of the EM algorithm Ite... View the full answer