Equation 9 · Ten Failure Modes That Define Production RAG
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the number of retrieved slots. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Real corpora are full of near-duplicates: a press release syndicated across a dozen outlets, a policy document copied into three different wikis, boilerplate repeated at the top of every ticket in a queue. A ranking function that scores by similarity to the query has no reason to penalise duplication, so a query that matches one instance of a widely republished passage tends to match all of them, and a naive top- k selection can fill a majority of its slots with restatements of a single fact rather than covering the breadth of what is actually in the corpus. If d of the k retrieved slots are occupied by near-duplicates of an already-retrieved passage, the effective evidence budget is not k…
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Real corpora are full of near-duplicates: a press release syndicated across a dozen outlets, a policy document copied into three different wikis, boilerplate repeated at the top of every ticket in a queue. A ranking function that scores by similarity to the query has no reason to penalise duplication, so a query that matches one instance of a widely republished passage tends to match all of them, and a naive top- k selection can fill a majority of its slots with restatements of a single fact rather than covering the breadth of what is actually in the corpus. If d of the k retrieved slots are occupied by near-duplicates of an already-retrieved passage, the effective evidence budget is not k but
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