Results 1 to 10 of about 16,088 (163)
Fidelity of hyperbolic space for Bayesian phylogenetic inference. [PDF]
PLoS Computational Biology, 2023 Bayesian inference for phylogenetics is a gold standard for computing distributions of phylogenies. However, Bayesian phylogenetics faces the challenging computational problem of moving throughout the high-dimensional space of trees.
Matthew Macaulay +2 more
doaj +2 more sources
Space and space-time topologies in a type-II hyperbolic lattice [PDF]
Nature CommunicationsRecent breakthroughs in hyperbolic lattices have expanded the study of topological phases of matter from Euclidean to non-Euclidean spaces. However, prior work has mostly focused on static spatial topological states at the single outer edge of type-I ...
Jingming Chen +5 more
doaj +2 more sources
Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Journal of Applied Mathematics, 2014 We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space.
Mahmut Mak, Baki Karlığa
doaj +5 more sources
Trudinger–Moser inequality in the hyperbolic space ℍN
Advances in Nonlinear Analysis, 2013 We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍN, which gives a sharper version of the Trudinger–Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the ...
Mancini Gianni +2 more
doaj +2 more sources
Wind Resistant Analysis of 5000m Hyperbolic Parabolic Spatial Mixed Cable Suspension Bridge [PDF]
E3S Web of Conferences, 2021 Combined with the engineering background of a 5000-meter Strait Suspension Bridge, the configuration study of the hyperbolic parabolic space cable suspension bridge was carried out, and the ANSYS finite element analysis model was established to analyze ...
Chen ZhaoYang, Xu WenPing
doaj +1 more source
Knowledge Graph Completion Based on Entity Descriptions in Hyperbolic Space
Applied Sciences, 2022 Hyperbolic space has received extensive attention because it can accurately and concisely represent hierarchical data. Currently, for knowledge graph completion tasks, the introduction of exogenous information of entities can enrich the knowledge ...
Xiaoming Zhang +2 more
doaj +1 more source
MANAS: Journal of Engineering, 2023 In this paper, we introduce the definition of a new class of generalized nonexpansivemappings in hyperbolic space. Additionally, we construct the rewritten version ofthe Mann iteration process in hyperbolic space.
Nazlı Kadıoğlu Karaca
doaj +1 more source
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.
openaire +4 more sources
Equality of internal angles and vertex points in conformal hyperbolic triangles
Cumhuriyet Science Journal, 2020 In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these special
Ümit Tokeşer, Ömer Alsan
doaj +1 more source
Hyperbolic Music Transformer for Structured Music Generation
IEEE Access, 2023 In the field of music generation, generating structured music is a highly challenging research topic. Music generation methods are currently learned in Euclidean space and usually modeled as a time series without structural properties, but due to the ...
Wenkai Huang +4 more
doaj +1 more source