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by angela shi • Published December 5, 2025 at 05:00 PM
Research

The Machine Learning Advent Calendar Day 5: GMM in Excel

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The article highlights the Gaussian Mixture Model (GMM) as an advanced clustering technique that extends k-Means by incorporating probabilistic assignments and utilizing the Mahalanobis distance to account for variances within clusters. Unlike k-Means, which assigns data points with hard boundaries, GMM employs the ExpectationMaximization (EM) algorithm to iteratively estimate the parameters of multiple Gaussian distributions, resulting in a more flexible and nuanced data modeling approach. By demonstrating the implementation of EM in Excel for one- and two-dimensional data, the article emphasizes how visualizing the movement and adjustment of Gaussian curves

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