Short Answer

Deriving a Missing Input from a Memory State

A memory state is calculated as a tuple containing the arithmetic mean of key vectors and the arithmetic mean of value vectors. After processing three key-value pairs (indexed 0, 1, and 2), the final memory state is Mem = ([3, 4], [5, 6]). Given the first two pairs are k₀ = [1, 2], v₀ = [7, 8] and k₁ = [2, 3], v₁ = [4, 5], what are the vectors for the third key-value pair, k₂ and v₂? Show your work.

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Updated 2025-10-04

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