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Used in 79 equations

score(D,Q)=∑i=1nIDF(qi)⋅f(qi,D) (k1+1)f(qi,D)+k1(1−b+b ∣D∣avgdl)\mathrm{score}(D,Q) = \sum_{i=1}^{n} \mathrm{IDF}(q_i) \cdot \frac{f(q_i, D)\,(k_1+1)}{f(q_i, D) + k_1\left(1 - b + b\,\dfrac{|D|}{\mathrm{avgdl}}\right)}

What Actually Happens Between a Query and an Answer in RAG · Equation 1

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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score(D,Q)=∑qi∈QIDF(qi)⋅f(qi,D)⋅(k1+1)f(qi,D)+k1⋅(1−b+b⋅∣D∣avgdl),\mathrm{score}(D, Q) = \sum_{q_i \in Q} \mathrm{IDF}(q_i) \cdot \frac{f(q_i, D) \cdot (k_1 + 1)}{f(q_i, D) + k_1 \cdot \left(1 - b + b \cdot \dfrac{|D|}{\mathrm{avgdl}}\right)},

From BM25 to Agentic Retrieval: A History of Retrieval-Augmented Generation · Equation 8

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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