Equation 5 · Part 1 · Shipping an On-Device AI Feature That Actually Works in the Field
Symbol c_local
What this part means
the write.
Its job in the formula
ocal is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol c_local→Article meaning
Where the article explains it
Write for the cost — in latency, energy, or both — of attempting the request locally, for the marginal cost of the network round trip once escalation is triggered, and p for the probability a request is judged solvable without escalating.
The passage around this formula
The consequence is structural rather than a tuning detail: appears in every request’s cost regardless of p , so a router only pays for itself if the local attempt is cheap relative to what it saves, and a router that is expensive to run locally can lose to simply escalating difficult-looking requests immediately based on a cheap, coarse signal computed before committing to the full local attempt.
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
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Sources cited in the article section
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