Results 1 to 10 of about 4,686,287 (314)
Application of hyperbolic geometry in link prediction of multiplex networks [PDF]
Scientific Reports, 2019 AbstractRecently 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
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Link prediction with hyperbolic geometry [PDF]
Physical 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 hyperbolic latent spaces has a number of attractive properties suggesting it must be a powerful ...
Maksim Kitsak +5 more
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Spectral geometry, link complements and surgery diagrams [PDF]
Geometriae Dedicata, 2008 20 pages, 11 ...
Marc Lackenby
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Centerpoints: A Link between Optimization and Convex Geometry [PDF]
SIAM Journal on Optimization, 2016 We introduce a concept that generalizes several different notions of a "centerpoint" in the literature. We develop an oracle-based algorithm for convex mixed-integer optimization based on centerpoints. Further, we show that algorithms based on centerpoints are "best possible" in a certain sense.
Amitabh Basu, Timm Oertel
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Helicity, linking, and writhe in a spherical geometry [PDF]
Journal of Physics: Conference Series, 2014 Linking numbers, helicity integrals, twist, and writhe all describe the topology and geometry of curves and vector fields. The topology of the space the curves and fields live in, however, can affect the behaviour of these quantities. Here we examine curves and fields living in regions exterior to a sphere or in spherical shells.
Jack Robert Campbell, Mitchell A. Berger
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Monoidal categories in, and linking, geometry and algebra
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2012 In essence, this paper consists of the notes of four lectures delivered in May 2011 as part of the Chaire de la Vall\'ee Poussin 2011 . The third and fourth lectures were also part of the conference Category Theory, Algebra and Geometry on 26 and 27 May 2011 in Louvain-la-Neuve ...
Ross Street
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A link invariant from the symplectic geometry of nilpotent slices [PDF]
Duke Mathematical Journal, 2006 v2: minor change to the introduction (grading in the long exact sequence corrected). v3: referees' suggestions and corrections incorporated; major changes to section 2 (the general Lie theory simplified by narrowing scope to sl_n) and minor changes to section 4 (more background on Floer theory included).
Paul Seidel, Ivan Smith
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Rethinking the link between matter and geometry [PDF]
Physical Review D, 2018 In the present manuscript, I examine an intriguing relation at the classical level between general relativity and a theory where matter couples uniquely multiplicatively to geometry in the Lagrangian density. Interestingly, the gravitational constant $G$ is replaced by a novel fundamental constant, whose value is not tied to any classical phenomenon ...
O. Minazzoli
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Link homology theories from symplectic geometry
Advances in Mathematics, 2006 47 pages, 6 figures; revised ...
Ciprian Manolescu
+7 more sources
Relating geometry descriptions to its derivatives on the web [PDF]
Proceedings 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