Dynamic Programming (DP) & GPUs KV Caching
generated by Gemini AI Dynamic Programming (DP) is a powerful algorithmic paradigm used to solve complex problems by breaking them down into simpler sub-problems, solving each sub-problem just once, and storing their solutions—usually using memory-based structures like arrays or tables—to avoid redundant computations. It is highly effective for problems that exhibit two core properties: Overlapping Sub-problems: The problem can be broken down into sub-problems which are reused multiple times. Optimal Substructure: The optimal solution to the global problem can be constructed from the optimal solutions of its sub-problems. Dynamic Programming (DP), GPUs, and KV caching are deeply intertwined in modern AI workloads—particularly in large language models (LLMs) and sequence-to-sequence architectures. At a high level,...