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Implement a Gaussian Mixture Model with EM from scratch: E-step responsibilities, M-step updates.

A from-scratch test of the EM algorithm and soft clustering. The signal is the two alternating steps (responsibilities then weighted re-estimation), log-sum-exp for stability, and knowing how GMM generalizes k-means. Here is the implementation.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

A from-scratch test of the EM algorithm and soft clustering. The signal is the two alternating steps (responsibilities then weighted re-estimation), log-sum-exp for stability, and knowing how GMM generalizes k-means. Here is the implementation.

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