Equation 2 · The Deployment Envelope: Small Models Where the Power Is Not
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the peak arithmetic rate. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
with the peak arithmetic rate, B the achievable memory bandwidth and I the operational intensity of the kernel. If I is small, the second term wins and the accelerator’s headline throughput is irrelevant.
Sources cited in the article section
- [1] Roofline: An Insightful Visual Performance Model for Multicore Architectures ↗
- [3] Efficiently Scaling Transformer Inference ↗
- [23] Introducing quantized Llama models with increased speed and a reduced memory footprint ↗
These citations give research context. Read each source to check which claims it supports.
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