Results 21 to 30 of about 1,008,318 (283)
Hyperbolic matrix factorization improves prediction of drug-target associations
Scientific Reports, 2023 Past research in computational systems biology has focused more on the development and applications of advanced statistical and numerical optimization techniques and much less on understanding the geometry of the biological space.
Aleksandar Poleksic
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Link prediction with hyperbolic geometry
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
Maksim Kitsak +2 more
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Random Motions at Finite Velocity on Non-Euclidean Spaces
Mathematics, 2022 In this paper, random motions at finite velocity on the Poincaré half-plane and on the unit-radius sphere are studied. The moving particle at each Poisson event chooses a uniformly distributed direction independent of the previous evolution. This implies
Francesco Cybo Ottone, Enzo Orsingher
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Smarandache’s Cevian Triangle Theorem in The Einstein Relativistic Velocity Model of Hyperbolic Geometry [PDF]
, 2010 In this note, we present a proof of Smarandache’s cevian triangle hyperbolic theorem in the Einstein relativistic velocity model of hyperbolic ...
Barbu, Catalin
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Smarandache's Pedal Polygon Theorem in the Poincare Disc Model of Hyperbolic Geometry [PDF]
, 2010 In this note, we present a proof of the hyperbolic a Smarandache's pedal polygon theorem in the Poincare disc model of hyperbolic ...
Barbu, Catalin
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Global Solvably Closed Anabelian Geometry [PDF]
, 2006 In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of “solvably closed extensions” of number fields — i.e., infinite extensions of number fields which have ...
Mochizuki, Shinichi
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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds
Entropy, 2020 We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
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An Instrument in Hyperbolic Geometry [PDF]
Proceedings of the American Mathematical Society, 1962 In addition to straight edge and compasses, the classical instruments of Euclidean geometry, we have in hyperbolic geometry the horocompass and the hypercompass. By a straight edge, or ruler, we draw the line joining any two distinct points, and by the compasses we construct a circle with given center and radius.
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Canonical triangulations of Dehn fillings [PDF]
, 2010 Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad ...
Schleimer, Saul, Guéritaud, François
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