Start by clarifying the problem and outlining the K-Means algorithm steps, then implement it in a clean, modular function using NumPy. Walk through the code, explaining each part, and then discuss complexity, edge cases, and practical considerations for choosing k.
Pro tip: Demonstrate awareness of K-Means++ initialization and its impact on convergence, and mention that you'd use the elbow method or silhouette score to choose k in practice, showing you understand both theory and application.
Confirm input/output format, constraints, and then verbally outline the K-Means steps: initialization, assignment, update, and convergence check.
Code centroid initialization (e.g., random selection from points) and assign each point to the nearest centroid using Euclidean distance.
Recompute centroids as the mean of assigned points, and check for convergence based on centroid movement or label changes within tolerance.
Address empty clusters by reassigning or removing them, handle ties by consistent tie-breaking, and return labels and final centroids.
Analyze time complexity (O(n*k*d*i)), and discuss methods for choosing k (elbow, silhouette) and initialization strategies (K-Means++).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.