Symbol p
p appears in the conditional probability being evaluated. The vertical bar identifies the information or condition supplied to that probability.
Read this term in its guide →Published equation contexts
Why this formula appears here
Retrieval-augmented generation is routinely marketed as “giving the model your data.” The original RAG formulation was more precise: combine parametric memory in a sequence model with non-parametric memory in an external index. A simplified sequence-level expression is . where the retriever assigns probability to documents z and the generator conditions on a selected set [ 6 ] . The decomposition matters because retrieval and generation fail differently.
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Symbol y
y appears in the conditional probability being evaluated. The vertical bar identifies the information or condition supplied to that probability.
Read this term in its guide →Symbol x
x appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol z
z appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol Z_k
appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol p_eta
ta is an input to the expression that computes the quantity on the left.
Read this term in its guide →Symbol p_θ
p_θ is an input to the expression that computes the quantity on the left.
Read this term in its guide →Starting index or lower bound: z in Z_k(x)
This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 7 · AI Agents & Systems
Reliable AI Agents Are Control Systems, Not Chatbots
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Retrieval-augmented generation is routinely marketed as “giving the model your data.” The original RAG formulation was more precise: combine parametric memory in a sequence model with non-parametric memory in an external index. A simplified sequence-level expression is . where the retriever assigns probability to documents z and the generator conditions on a selected set [ 6 ] . The decomposition matters because retrieval and generation fail differently.
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