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Equation 16 · Building Production RAG: An Advanced Technical Guide

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kk

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the number of candidates handed to the reranker. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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kk

Symbol k

the number of candidates handed to the reranker.

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where k is the number of candidates handed to the reranker and ℓrerank\ell_{\mathrm{rerank}} is the marginal latency per candidate scored. Recall generally improves as k grows, because a larger candidate set is more likely to contain the passage that actually answers the query — but k multiplies the one latency term a team most directly controls, so it is not a value to leave at a copied default. It is a dial to be set from a measured recall-versus- k curve against an explicit latency budget, the same way the hybrid weight α\alpha is set from a measured recall curve rather than assumed.

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