I knew k-means conceptually but writing it out cleanly under pressure is a different thing.
Start by clarifying the problem constraints and assumptions (e.g., distance metric, data types, convergence criteria). Then outline the K-Means algorithm step-by-step, emphasizing initialization, assignment, update, and termination. Finally, discuss implementation details, edge cases, and potential optimizations.
Pro tip: Mention that K-Means is sensitive to initialization and suggest using K-Means++ for better convergence, but note that for this implementation, a simple random initialization is acceptable if you handle empty clusters.
Confirm the distance function, data format, and expected output. Ask about handling empty clusters and whether to use random or smart initialization.
Describe the iterative process: initialize centroids, assign points to nearest centroid, recompute centroids, and check for convergence.
Explain how to compute distances, assign clusters, update centroids, and track convergence. Mention data structures for efficiency.
Address empty clusters, convergence criteria, and potential improvements like K-Means++ or vectorization.
State time and space complexity, and discuss trade-offs between different initialization methods and convergence thresholds.
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