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14 changes: 14 additions & 0 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -16,6 +16,20 @@ Training-free ordinal & sign quantization for vector retrieval.
that quantizes the **ordinal (rank) and sign structure** of an embedding —
no codebook, no learned rotation, no graph to build.

## What is ordinal retrieval?

Ordinal retrieval is a retrieval family where the index operates on order/sign
quotients of embedding coordinates rather than metric magnitudes, with
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training-free compression, quotient-aware candidate generation, and asymmetric
reranking against the original query signal.

Dense retrieval assumes magnitude geometry is the primitive. Ordinal retrieval
asks what survives when embeddings are quotiented down to coordinate order,
signs, and relative salience. Surprisingly, enough retrieval signal survives to
match dense qrel quality at much smaller storage, and those quotients support
quotient-aware candidate-generation rules that are training-free,
append-friendly, and graph-optional.

## Benchmark at a glance

> **ordvec matches dense retrieval quality within BEIR qrel noise at 8–16× smaller
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