Hyperbolic Space

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Period ending 2026-09-14

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46 papers

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Understanding Hyperspherical Geometry of ECAPA-TDNN Embedding and Its Impact on Zero-Shot Voice Conversion
Sep 21, 2026Mathilde Abrassart, Nicolas Obin, Axel RoebelHyperbolic Space Zero-Shot Inference
Hyperbolic Geometry for Open-World Object Detection in Remote Sensing Imagery
Sep 10, 2026Wuzhou Li, Jiawei Zhou, Shenghang Wang +1Open-Vocabulary Object Detection Hyperbolic Learning
Geometric organization of olfactory descriptor data in the Poincaré disk
Sep 9, 2026Aniss Aiman Medbouhi, Farzaneh Taleb, Giovanni Luca Marchetti +1Olfactory Perception Hyperbolic Space
HypLTSF: A Hyperbolic Geometric View of Multi-Scale Hierarchies for Long-Term Time Series Forecasting
Sep 8, 2026Namwoo Kim, Hyungryul Baik, Yoonjin YoonMultiscale Hyperbolic Space
HyperANFIS: Enhancing Rule Representation and Interpretability in Adaptive Neuro-Fuzzy Systems via Hyperbolic Geometry
Aug 12, 2026Haoran Pei, Zhao Su, Zetao Lin +6Hyperbolic Learning Hyperbolic Space
Riemann GeoResolver: A Non-Euclidean Attention Framework from Euclidean Resolver to Hyperbolic-Spherical Geometry
Aug 11, 2026Liangchen GeHyperbolic Space Sphere
HyPASE: Hyperbolic Geometry for Parameter-Efficient Speech Emotion Fine-Tuning Framework for Large Audio-Language Models
Aug 5, 2026Tian Jin, Ruikang Zhang, Zefeng Zhao +2Large Audio Language Models Emotion Recognition
HyperbolicDiffusion: Sharp & Scalable Tiled Generation on the Hyperbolic Plane
Aug 4, 2026Hugo Caselles-DupréHyperbolic Space Canvas
SphereVideo: Prototype-anchored Hyperspherical Boundary for Continual AI-generated Video Detection
Aug 2, 2026Fei Li, Yue Yu, Yuran Wang +3Ai-Generated Sphere
PointCHR: Point Cloud Analysis via Curvature-Aware Hyperbolic Rectification
Jul 27, 2026Xinxing Yu, Liying Yang, Hao Mo +4Certified Point-Cloud Hyperbolic Space
Hyperball May Not Be a Free Lunch
Jul 24, 2026Yihao Xiao, Jialong Sun, Zitian Gao +5Learning Rates Hyperbolic Space
dRAE: Representation Autoencoder with Hyper-Spherical Codes
Jul 24, 2026Tianren Ma, Lin Long, Chuyan Chen +4Masked Autoencoders Hyperbolic Space
The Hyperspherical Geometry of CLIP Latent Space: A Semantic Mixture Model
Jul 15, 2026Zijie Yu, Gaowen Liu, Ramana Rao Kompella +2Hyperbolic Space Mixture Models
RED-Sphere: Hyperspherical Residual Edge Debiasing for Cross-Population Fundus Disease Domain Generalization
Jul 12, 2026Yan Lin, Ziheng Wang, Shuang Chen +2Fundus Images Medical Image Classification
SpheRoPE: Zero-Shot Optimization-Free 360 Panorama Generation with Spherical RoPE
Jun 30, 2026Or Hirschorn, Aaron Olender, Eli Alshan +3Panoramic Images Generative Priors
HyperVLP: Enhancing Hierarchical Surgical Video-Language Pre-training in Hyperbolic Space
Jun 30, 2026Yaojun Hu, Kun Yuan, Nassir Navab +3Surgical Videos Medical Vision-Language Models
Statistical validation and full-sphere extension of a Bayesian model for human static sound localisation
Jun 23, 2026Roberto Barumerli, Fabian Brinkmann, Emanuele Zanoni +3Sound Source Localization Statistical Inference
HANCLIP: A Family of Hyperbolic Angular Negation Vision Language Models
Jun 22, 2026Hoang-Bao Le, Aiden Durrant, Thai Son Mai +3Large Vision Language Models Negation
HypOProto: Hyperbolic Ordinal Prototypes for Left Ventricular Filling Pressure Classification
Jun 18, 2026Victoria Wu, Nima Hashemi, Hooman Vaseli +3Echocardiography Hyperbolic Space
Expanding SPHERE-JEPA: A Family of Statistical Regularizers for the Hypersphere
Jun 16, 2026Léo Nicollier, Enric Meinhardt-Llopis, Max Dunitz +3Regularization Techniques Maximum Mean Discrepancy
Fantastic Pretraining Optimizers and Where to Find Them II: Hyperball Optimization
Jun 15, 2026Kaiyue Wen, Xingyu Dang, Kaifeng Lyu +2Large Language Model Pretraining Model Weights
Text-Driven Fusion for Infrared and Visible Images: Achieving Image Scene Adaptation on Hyperbolic Space
Jun 13, 2026Huan Kang, Hui Li, Tianyang Xu +3Visible Image Fusion Cross-Modal Fusion
Fourier Neural Operators with rank-1 lattice points and hyperbolic cross
Jun 7, 2026Jakob Dilen, Alexander Keller, Frances Y. Kuo +1Fourier Neural Operators Fourier
HyperVis: Continuous Latent Visual Relational Graphs on the Lorentz Hyperboloid for Compositional Reasoning
Jun 4, 2026Moshiur Farazi, Sameera Ramasinghe, Mahbub Ahmed Turza +1Hypertool Hyperbolic Space
Generalizing Graph Foundation Models via Hyperbolic Retrieval-Augmented Generation
Jun 2, 2026Yifan Jin, Qirui Ji, Bin Qin +4Graph Foundation Model Graph-Based Retrieval Augmented Generation
Geometric Fairness-Aware Routing for Federated Edge Networks
May 31, 2026Ratun RahmanHeterogeneous Edge Devices Hyperbolic Space
Hyperbolic and Evidence-Prioritized Experts for Large Vision-Language Models
May 29, 2026Zijie Zhou, Dandan Zhu, Hangxiangpan Wang +3Large Vision Language Models Cross-Modal Learning
A Topological Characterization of Graph Neural Networks via Stochastic Block Model Embeddings on the n-Sphere
May 29, 2026Gopal AnantharamanGraph Neural Networks Message Passing Neural Networks
SPHERE-JEPA: Spherical Prediction with Homogeneous Embeddings
May 26, 2026Léo Nicollier, Max Dunitz, Marc Pic +3Manifold Learning Method Embedding Dimension
HyperGuide: Hyperbolic Guidance for Efficient Multi-Step Reasoning in Large Language Models
May 22, 2026Yuyu Liu, Haotian Xu, Yanan He +3Large Language Model Reasoning Few-Step Generation
Neural Collapse by Design: Learning Class Prototypes on the Hypersphere
May 19, 2026Panagiotis Koromilas, Theodoros Giannakopoulos, Mihalis A. Nicolaou +1Learnable Prototypes Neural Collapse
H2G: Hierarchy-Aware Hyperbolic Grouping for 3D Scenes
May 12, 2026ByungHa Ko, Youngmin Lee, Dong Hwan KimHyperbolic Learning 3D Scenes
MARGIN: Margin-Aware Regularized Geometry for Imbalanced Vulnerability Detection
May 11, 2026Yuteng Zhang, Huifang Ma, Jiahui Wei +2Extreme Class Imbalance Vulnerability Detection & Repair
HYPERPOSE: Hyperbolic Kinematic Phase-Space Attention for 3D Human Pose Estimation
May 11, 2026Vinduja Thekkath, Ashish Musale, Ajay Waghumbare +13D Pose Estimator Hyperbolic Space
HyNeuralMap: Hyperbolic Mapping of Visual Semantics to Neural Hierarchies
May 10, 2026Zihan Ma, Tian Xia, Kexin Wang +3Visual Semantics Hyperbolic Space
Semantic Alignment in Hyperbolic Space for Open-Vocabulary Semantic Segmentation
May 9, 2026Hoang M. Truong, Hai Nguyen-Truong, Dang HuynhDense Semantic Segmentation Hyperbolic Space
SphereVAD: Training-Free Video Anomaly Detection via Geodesic Inference on the Unit Hypersphere
May 8, 2026Chao Huang, Penfei Wei, Wei Wang +5Video Anomaly Understanding Fine-Grained Video Understanding
HEART: Hyperspherical Embedding Alignment via Kent-Representation Traversal in Diffusion Models
May 8, 2026Arani Roy, Shristi Das Biswas, Kaushik RoyText-To-Image Diffusion Models Hyperbolic Space
Hyperspherical Forward-Forward with Prototypical Representations
Apr 30, 2026Shalini Sarode, Brian Moser, Joachim Folz +4Single Forward Pass Backpropagation
Improving Graph Few-shot Learning with Hyperbolic Space and Denoising Diffusion
Apr 30, 2026Yonghao Liu, Jialu Sun, Wei Pang +4Graph Representation Learning Few-Shot Learning
Self-Supervised Representation Learning via Hyperspherical Density Shaping
Apr 27, 2026Esteban Rodríguez-Betancourt, Edgar Casasola-MurilloSelf-Supervised Representations Hyperbolic Space
New non-Euclidean neural quantum states from additional types of hyperbolic recurrent neural networks
Apr 27, 2026H. L. DaoQuantum Neural Networks Many-Body Physics
HypEHR: Hyperbolic Modeling of Electronic Health Records for Efficient Question Answering
Apr 22, 2026Yuyu Liu, Sarang Rajendra Patil, Mengjia Xu +1Electronic Health Records Hyperbolic Space
Machine learning moment closure models for the radiative transfer equation IV: enforcing symmetrizable hyperbolicity in two dimensions
Apr 22, 2026Juntao HuangHyperbolic Space Closure
Lorentz Framework for Semantic Segmentation
Apr 18, 2026Zahid Hasan, Masud Ahmed, Nirmalya RoyDense Semantic Segmentation Hyperbolic Learning
Inexact calculus of variations on the hyperspherical tangent bundle with connections to the attention mechanism
Jul 21, 2025Andrew GracykTangent Space Hyperbolic Space

Sep 21, 2026 · cs.SDJ/K move · Enter open · S save

Understanding Hyperspherical Geometry of ECAPA-TDNN Embedding and Its Impact on Zero-Shot Voice Conversion

Mathilde Abrassart, Nicolas Obin, Axel Roebel

Angular-margin speaker encoders are widely used in voice conversion, yet the geometry of their classifier prototypes remains poorly understood. We analyze ECAPA-TDNN classifier prototypes as points on the unit hypersphere and characterize their organization using rotation-invariant angular statistics together with global and local effective dimensionality measures. Our analysis shows that standard training can induce angular concentration and a substantial reduction in effective dimensionality. To address this, we investigate two geometric regularization strategies (hinged Riesz log-energy and effective-dimension maximization) applied to classifier prototypes to encourage more uniform hyperspherical coverage. The resulting prototype sets exhibit higher effective dimensionality and improved isotropy, with configuration-dependent effects on speaker-recognition performance. When the corresponding ECAPA-TDNN models are used as speaker encoders for Fast-VGAN, the regularized systems also exhibit improved robustness in zero-shot voice conversion, particularly for previously unseen speakers.

Hyperbolic Space Zero-Shot Inference

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