SOURCE-LINKED INTELLIGENCE

HCC+: Hyperbolic Guarding for Certified Attention Retrieval

arXiv · AI, language, vision and robotics · article · Aug 25, 2026 · UTC

We study the Lipschitz stability of attention retrieval in hyperbolic spaces. Existing methods lack deterministic guarantees on attention-weight preservation under finite-precision representations. We introduce HCC+, a theoretical framework exploiting three properties of the Poincaré ball: exponential volume growth enabling query-independent boundary truncation; logarithmic covering radius of hyperbolic 1-centers enabling dimension-independent critical-key identification; and a packing bound with constants independent of the embedding dimension. We prove two deterministic guarantees: for exact

Read original source ↗ Open in workspace

recordType: paper
region: Global

Evidence & attribution

arXiv · AI, language, vision and robotics · 2026-08-25T09:52:28.000Z

First collected: 2026-09-21T10:02:02.728Z. This is not the publication date.