Results 11 to 20 of about 5,510,773 (262)
Simulating hyperbolic space on a circuit board. [PDF]
Nat Commun, 2022 The Laplace operator encodes the behavior of physical systems at vastly different scales, describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input for the Laplace equation is the curvature of space.
Lenggenhager PM +14 more
europepmc +3 more sources
Fidelity of hyperbolic space for Bayesian phylogenetic inference. [PDF]
PLoS Comput Biol, 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.
Macaulay M, Darling A, Fourment M.
europepmc +3 more sources
Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry. [PDF]
Phys Rev A (Coll Park), 2020 We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor hopping and local interactions can be mapped onto quantum field theories in continuous negatively curved space.
Boettcher I +4 more
europepmc +3 more sources
Hyperbolic Space Cosmologies [PDF]
Journal of High Energy Physics, 2003 We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with time-varying volume.
A. Lukas +22 more
core +3 more sources
Semi-supervised Hierarchical Drug Embedding in Hyperbolic Space. [PDF]
J Chem Inf Model, 2020 Learning accurate drug representations is essential for tasks such as computational drug repositioning and prediction of drug side effects. A drug hierarchy is a valuable source that encodes knowledge of relations among drugs in a tree-like structure ...
Yu K, Visweswaran S, Batmanghelich K.
europepmc +3 more sources
Machine learning meets complex networks via coalescent embedding in the hyperbolic space. [PDF]
Nat Commun, 2017 Physicists recently observed that realistic complex networks emerge as discrete samples from a continuous hyperbolic geometry enclosed in a circle: the radius represents the node centrality and the angular displacement between two nodes resembles their ...
Muscoloni A +4 more
europepmc +3 more sources
Efficient embedding of complex networks to hyperbolic space via their Laplacian. [PDF]
Sci Rep, 2016 The different factors involved in the growth process of complex networks imprint valuable information in their observable topologies. How to exploit this information to accurately predict structural network changes is the subject of active research.
Alanis-Lobato G +2 more
europepmc +2 more sources
Learning Weakly Supervised Audio-Visual Violence Detection in Hyperbolic Space [PDF]
Image and Vision Computing, 2023 In recent years, the task of weakly supervised audio-visual violence detection has gained considerable attention. The goal of this task is to identify violent segments within multimodal data based on video-level labels.
Xiaogang Peng +6 more
semanticscholar +1 more source
Discrete-time Temporal Network Embedding via Implicit Hierarchical Learning in Hyperbolic Space [PDF]
Knowledge Discovery and Data Mining, 2021 Representation learning over temporal networks has drawn considerable attention in recent years. Efforts are mainly focused on modeling structural dependencies and temporal evolving regularities in Euclidean space which, however, underestimates the ...
Menglin Yang +4 more
semanticscholar +1 more source