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Guantian Zheng

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Preprint Aug 2026

Hyper^2: Unleashing Hyperbolic Geometry's Full Potential via Dual-Space Consistency

Hyper^2 is proposed, a dual-space consistency framework that extends HyperbolicCD by reusing the identical arcosh(1+alpha d^2) functional form as a positional bias on the refinement attention (a hyperbolic distance encoding), paired with HyperbolicCD's hyperbolic Chamfer loss under a single shared curvature alpha.

Guantian Zheng, Haiyang Xu, Tianyu Gao · 0 citations