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Link prediction with hyperbolic geometry [PDF]

open access: yesPhysical Review Research, 2020
Link prediction is a paradigmatic problem in network science with a variety of applications. In latent space network models this problem boils down to ranking pairs of nodes in the order of increasing latent distances between them. The network model with
Maksim Kitsak   +2 more
doaj   +9 more sources

Application of hyperbolic geometry in link prediction of multiplex networks [PDF]

open access: goldScientific Reports, 2019
Recently multilayer networks are introduced to model real systems. In these models the individuals make connection in multiple layers. Transportation networks, biological systems and social networks are some examples of multilayer networks.
Zeynab Samei, Mahdi Jalili
semanticscholar   +5 more sources

Relating geometry descriptions to its derivatives on the web [PDF]

open access: yesProceedings of the 2019 European Conference on Computing in Construction, 2019
Sharing building information over the Web is becoming more popular, leading to advances in describing building models in a Semantic Web context. However, those descriptions lack unified approaches for linking geometry descriptions to building elements ...
Bonduel, Mathias   +3 more
core   +2 more sources

Leveraging the nonuniform PSO network model as a benchmark for performance evaluation in community detection and link prediction

open access: yesNew Journal of Physics, 2018
Advances in network geometry pointed out that structural properties observed in networks derived from real complex systems can emerge in the hyperbolic space (HS).
Muscoloni Alessandro   +1 more
doaj   +2 more sources

Noncommutative Schwarzschild geometry and generalized uncertainty principle

open access: yesEuropean Physical Journal C: Particles and Fields, 2019
We discuss a possible link between the deformation parameter $$\Theta ^{\mu \nu }$$ Θμν arising in the framework of noncommutative geometry and the parameter $$\beta $$ β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking
T. Kanazawa   +3 more
doaj   +2 more sources

A link invariant from the symplectic geometry of nilpotent slices [PDF]

open access: green, 2004
We define an invariant of oriented links in S 3 using the symplectic geometry of certain spaces which arise naturally in Lie theory. More specifically, we present a knot as the closure of a braid, which in turn we view as a loop in configuration space ...
Paul Seidel, Ivan Smith
openalex   +3 more sources

Geometry Interaction Knowledge Graph Embeddings [PDF]

open access: yesAAAI Conference on Artificial Intelligence, 2022
Knowledge graph (KG) embeddings have shown great power in learning representations of entities and relations for link prediction tasks. Previous work usually embeds KGs into a single geometric space such as Euclidean space (zero curved), hyperbolic space
Zongsheng Cao   +4 more
semanticscholar   +1 more source

Geometry of Krylov complexity [PDF]

open access: yesPhysical Review Research, 2021
We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries. We start by showing a direct link between a unitary evolution with the Liouvillian and the displacement operator of appropriate ...
Paweł Caputa   +2 more
semanticscholar   +1 more source

Nonhomogeneous Stochastic Geometry Analysis of Massive LEO Communication Constellations [PDF]

open access: yesIEEE Transactions on Communications, 2021
Providing truly ubiquitous connectivity requires development of low Earth orbit (LEO) satellite Internet, whose theoretical study is lagging behind network-specific simulations.
N. Okati, T. Riihonen
semanticscholar   +1 more source

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