General Formula for Recurrent Memory Update

Cumulative Average of Keys and Values for Memory Component

Recurrent Network as a Cache Mechanism

A system is designed to process an extremely long, continuous sequence of information. To manage this, it uses a memory cache that is updated at each step: a new key-value pair is combined with the entire compressed memory from the previous step to form a new, equally compressed memory state. What is the primary trade-off inherent in this design?

A system maintains a fixed-size memory cache by processing a sequence of key-value pairs one at a time. Arrange the following events in the correct chronological order for a single update step.

Memory Cache State Calculation