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Equation 18 · Part 1 · From BM25 to Agentic Retrieval: A History of Retrieval-Augmented Generation

Symbol z

zz
zz

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z is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

By the time Lewis and colleagues published in 2020, learned dense retrieval and large pretrained generators both already existed as separate lines of work. The paper’s specific technical contribution was neither — it was making the whole pipeline trainable end to end through a single differentiable objective, treating the retrieved passage as a latent variable to be marginalized over rather than a fixed input handed to a frozen reader [ 8 ] . Writing x for the input, y for the output, z for a retrieved passage, and η\eta and θ\theta for the retriever’s and generator’s parameters respectively, the RAG-Sequence variant approximates

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