Red-Blue Pebble Game: Analyzing Matmul Communication Overhead
srush_nlp · x · 2026-08-20
The tweet references the Red-Blue Pebble game rules (Hong & Kung, 1981) to analyze computational complexity versus communication costs.
Rules Defined:
- Cost 1: Moving data between Red and Blue caches (Blue -> Red / Red -> Blue).
- Cost 0: Computing using only Red cache or deleting data.
Conclusion:
Under this communication model, naive $O(n^3)$ matrix multiplication scales well with cache size (red pebbles), indicating its data access pattern has good locality.
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