Results 21 to 30 of about 5,510,773 (262)
Rethinking the compositionality of point clouds through regularization in the hyperbolic space [PDF]
Neural Information Processing Systems, 2022 Point clouds of 3D objects exhibit an inherent compositional nature where simple parts can be assembled into progressively more complex shapes to form whole objects.
Antonio Montanaro, D. Valsesia, E. Magli
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Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models. [PDF]
Physical Review Letters, 2021 Circuit quantum electrodynamics is one of the most promising platforms for efficient quantum simulation and computation. In recent groundbreaking experiments, the immense flexibility of superconducting microwave resonators was utilized to realize ...
P. Bienias +4 more
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Exploring Hierarchical Information in Hyperbolic Space for Self-Supervised Image Hashing [PDF]
IEEE Transactions on Image Processing, 2022 In real-world datasets, visually related images often form clusters, and these clusters can be further grouped into larger categories with more general semantics. These inherent hierarchical structures can help capture the underlying distribution of data,
Rukai Wei +4 more
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Monodromy defects from hyperbolic space [PDF]
Journal of High Energy Physics, 2021 We study monodromy defects in O(N) symmetric scalar field theories in d dimensions. After a Weyl transformation, a monodromy defect may be described by placing the theory on S1 × Hd−1, where Hd−1 is the hyperbolic space, and imposing on the fundamental ...
S. Giombi +3 more
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Multi-modal Entity Alignment in Hyperbolic Space [PDF]
Neurocomputing, 2021 Many AI-related tasks involve the interactions of data in multiple modalities. It has been a new trend to merge multi-modal information into knowledge graph(KG), resulting in multi-modal knowledge graphs (MMKG).
Haojie Guo +4 more
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Geometric inequalities for static convex domains in hyperbolic space [PDF]
, 2021 We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in ...
Yingxiang Hu, Haizhong Li
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A characterization of hyperbolic spaces [PDF]
Groups, Geometry, and Dynamics, 2007 We show that a geodesic metric space, and in particular the Cayley graph of a finitely generated group, is hyperbolic in the sense of Gromov if and only if intersections of any two metric balls is itself “almost” a metric ball. In particular, \mathbb R -trees are characterized among the ...
Chatterji, Indira, Niblo, Graham A.
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Locally constrained curvature flows and geometric inequalities in hyperbolic space [PDF]
Mathematische Annalen, 2020 In this paper, we first study the locally constrained curvature flow of hypersurfaces in hyperbolic space, which was introduced by Brendle, Guan and Li (An inverse curvature type hypersurface flow in Hn+1\documentclass[12pt]{minimal} \usepackage{amsmath}
Yingxiang Hu, Haizhong Li, Yong Wei
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Hyperbolic spaces in Teichmüller spaces [PDF]
Journal of the European Mathematical Society, 2014 We prove, for any n , that there is a closed connected orientable surface S so that the hyperbolic space \mathbb H^n
Christopher J. Leininger, Saul Schleimer
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Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography [PDF]
Journal of High Energy Physics, 2020 Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d-dimensional conformal field theories (CFTs) in
Yongjun Ahn +5 more
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