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.
← Coding & DSA / 118
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.
Unlock the other 754 answers · ₹2,000 / $25includes both full courses · progress stays saved · 6 months · one payment · no auto-renew
LEARN THE BACKGROUND
No lesson covers this question directly yet. These teach the surrounding topic from the beginning.
UP NEXT ON YOUR JOURNEY
Next in this trackSolve linear regression with the normal equations: derive the closed form and implement it stably.Next in this trackImplement a vanilla RNN cell from scratch: forward over a sequence and backprop through time.Next in this trackImplement an LSTM cell from scratch: the four gates, the cell state, and why it beats a vanilla RNN.
DISCUSSION · 0
No comments yet — be the first to share your approach.
