Glossary · Term

bounding ball

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Definition

Plain language

A small sphere drawn around a cluster of points so a search can skip the whole cluster at once when even its best-case member can't qualify.

As stated in the literature

In Louver-style attention sparsification, a tight enclosing sphere (center plus radius) over a group of key vectors; a single dot-product-plus-radius test upper-bounds any contained key's attention score, letting the index prune entire clusters that provably cannot exceed the threshold.

Also called: bounding balls, bounding sphere

Why it matters: It makes large-scale search dramatically faster by ruling out entire clusters with a single test, without missing any item that could have qualified.

For example, instead of checking a thousand stored items one by one, a search draws a sphere around a group and skips the whole group when even its closest possible member falls short.

Heard on the show

“The first idea is bounding balls.”
Episode 036 — Sparse Attention Was the Wrong Frame. Treat It as Geometry Instead.

Mentioned in 1 episode

  1. 036
    Sparse Attention Was the Wrong Frame. Treat It as Geometry Instead.

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