Equation 16 · What Open Weights Actually Let You Verify
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.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol H
H is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Meta’s own Llama 3.1 model card reports GSM8K performance of 84.5 for the 8-billion-parameter instruction-tuned model, using an 8-shot chain-of-thought configuration matching the format established by Wei and colleagues, and states plainly that the company also built and released “an eval reproduction recipe that demonstrates how to closely reproduce the Llama 3.1 reported benchmark numbers using the lm-evaluation-harness library” [ 2 ] , with the underlying evaluation transcripts published as a Hugging Face collection [ 1 ] . That harness — EleutherAI’s lm-evaluation-harness — is itself open infrastructure, cited in hundreds of papers and used as the backend for several public leaderboards…
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Meta’s own Llama 3.1 model card reports GSM8K performance of 84.5 for the 8-billion-parameter instruction-tuned model, using an 8-shot chain-of-thought configuration matching the format established by Wei and colleagues, and states plainly that the company also built and released “an eval reproduction recipe that demonstrates how to closely reproduce the Llama 3.1 reported benchmark numbers using the lm-evaluation-harness library” [ 2 ] , with the underlying evaluation transcripts published as a Hugging Face collection [ 1 ] . That harness — EleutherAI’s lm-evaluation-harness — is itself open infrastructure, cited in hundreds of papers and used as the backend for several public leaderboards precisely because it fixes H as a shared, versioned, publicly inspectable artifact rather than a private in-house script [ 4 ] .
Sources cited in the surrounding passage
- [2] Llama 3.1 Evaluation Details ↗
- [1] Llama 3.1 Model Card ↗
- [4] A Framework for Few-Shot Language Model Evaluation ↗
These citations give research context. Read each source to check which claims it supports.