Explain the EM algorithm and walk through it for a Gaussian Mixture Model.
EM is the canonical latent-variable algorithm, and a GMM is how it shows up in practice. The signal is the E-step/M-step alternation, why it is soft clustering where k-means is hard, and the honest caveat that it only finds a local optimum. Here is the answer.
Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.
EM is the canonical latent-variable algorithm, and a GMM is how it shows up in practice. The signal is the E-step/M-step alternation, why it is soft clustering where k-means is hard, and the honest caveat that it only finds a local optimum. Here is the answer.
Lead with where the obvious approach breaks, because that is the judgment they are screening for — most candidates jump straight to the happy path and lose the room.
Then walk the failure back through the pipeline in order, naming the one metric the customer's exec sponsor actually cares about before you propose the fix.