This one took me a minute to even figure out where to start.
Start by clarifying the problem constraints (e.g., expected stream rate, memory limits, cluster shape assumptions) and then propose an online clustering algorithm like online k-means or a streaming variant such as StreamKM++ or BIRCH. Structure your answer around the required operations (add and get_clusters), then discuss initialization, convergence, outliers, concept drift, and testing, emphasizing bounded memory and practical trade-offs.
Pro tip: Demonstrate awareness of production concerns by mentioning that you would monitor cluster stability and drift metrics in real-time, and have a fallback to re-initialize clusters if drift is detected, ensuring robustness for Uber-scale data.
Ask about stream characteristics (rate, value range, dimensionality), memory bounds, latency requirements, and whether clusters are expected to be spherical or arbitrary. This ensures your design aligns with the interviewer's expectations.
Select a bounded-memory algorithm such as online k-means with reservoir sampling, StreamKM++, or BIRCH. Explain how it maintains cluster summaries (e.g., centroids, counts) and updates them incrementally with each new point.
Describe how add(value) assigns the point to the nearest cluster (or creates a new one) and updates the cluster summary. get_clusters() returns the current cluster representatives (e.g., centroids) and possibly cluster sizes.
Discuss strategies for initializing clusters (e.g., first k points, k-means++ on a sample), ensuring convergence (e.g., learning rate decay), handling outliers (e.g., distance threshold, separate outlier cluster), and adapting to drift (e.g., sliding window, fading factors, periodic re-clustering).
Propose testing with synthetic streams (e.g., Gaussian mixtures with drift), measuring cluster quality (e.g., silhouette score on held-out data), memory usage, and update latency. Also mention A/B testing in production if applicable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.