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Equation 18 · Part 1 · AI Memory Systems and the Bandwidth Wall in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol S

SS
SS

What this part means

the streamingllm instead shrinks effective.

Its job in the formula

S is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

StreamingLLM instead shrinks effective S : it keeps only a small window of recent tokens plus a handful of initial “attention sink” tokens, and reports enabling stable generation over sequences up to four million tokens with up to a 22.2-times speedup over recomputing a sliding window from scratch [ 14 ] .

The passage around this formula

…to the company’s own prior 67-billion-parameter dense model, while extending supported context to 128,000 tokens [ 15 ] . That shrinks the per-token cost of the equation above. StreamingLLM instead shrinks effective S : it keeps only a small window of recent tokens plus a handful of initial “attention sink” tokens, and reports enabling stable generation over sequences up to four million tokens with up to a 22.2-times speedup over recomputing a sliding window from scratch [ 14 ] . H2O shrinks S adaptively…

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Sources cited in the surrounding passage

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