Equation 21 · Naive, Graph, and Agentic: A Systems Comparison of RAG Architectures
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the when. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
When Q is small — a corpus queried rarely, or one still being explored — dominates and the naive or hybrid architectures are cheaper by a wide margin, because they pay nothing until a query arrives. When Q is large against a stable corpus, the fixed term is driven down toward zero and the comparison turns on against the per-query cost of the alternatives. The direction of that comparison depends on the question being asked, not only on volume: Edge and colleagues report that GraphRAG produces substantially more comprehensive and diverse answers than a conventional RAG baseline specifically on query-focused summarisation over large corpora, the kind of…
Read the full surrounding passage
When Q is small — a corpus queried rarely, or one still being explored — dominates and the naive or hybrid architectures are cheaper by a wide margin, because they pay nothing until a query arrives. When Q is large against a stable corpus, the fixed term is driven down toward zero and the comparison turns on against the per-query cost of the alternatives. The direction of that comparison depends on the question being asked, not only on volume: Edge and colleagues report that GraphRAG produces substantially more comprehensive and diverse answers than a conventional RAG baseline specifically on query-focused summarisation over large corpora, the kind of question — “what are the main themes across this entire collection” — that a top- k chunk retriever structurally cannot answer well no matter how many times it is queried, because no fixed small set of chunks represents a corpus-wide theme [ 4 ] .
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
Return to Naive, Graph, and Agentic: A Systems Comparison of RAG Architectures