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Preprint Aug 2026

HYDRA: Hyperbolic Dynamic Representation Architecture for Kolmogorov-Arnold Networks

HYDRA is a parameter-efficient hyperbolic extension of KAN that combines spline-based functional learning with representations in the Poincar\'e ball, and consistently achieves competitive or superior predictive performance while improving parameter efficiency and representation interpretability.

Zhao Su, Yuxin Xia, Haoran Li et al. · 0 citations
Preprint Aug 2026

HyperANFIS: Enhancing Rule Representation and Interpretability in Adaptive Neuro-Fuzzy Systems via Hyperbolic Geometry

Hyperbolic ANFIS (HyperANFIS), a hyperbolic extension of ANFIS that preserves the fuzzy semantics and core architecture of conventional ANFIS while performing rule-prototype learning, rule activation, and consequent aggregation in hyperbolic space, strengthens the fuzzy inference process.

Haoran Pei, Zhao Su, Ze-Tao Lin et al. · 0 citations

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