Results 91 to 100 of about 320,618 (278)
A Geometry Preserving Kernel over Riemannian Manifolds [PDF]
- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds ...
Kh. Sadatnejad +2 more
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Cracking in brittle TPMS structures is governed by their geometry, with cracks propagating along geodesic paths determined by the initial crack orientation. Regions with small cross‐sections and abrupt area transitions identify critical damage regions and explain the differences in compressive strength among Primitive, Gyroid, Neovius, and IWP designs.
Thi Ngoc Diep Tran +2 more
wiley +1 more source
International Journal of Mathematical Combinatorics, Vol.3 [PDF]
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Stochastic Approximation on Riemannian Manifolds [PDF]
The standard theory of stochastic approximation (SA) is extended to the case when the constraint set is a Riemannian manifold. Specifically, the standard ODE method for analyzing SA schemes is extended to iterations constrained to stay on a manifold using a retraction mapping. In addition, for submanifolds of a Euclidean space, a framework is developed
openaire +3 more sources
Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
wiley +1 more source
Manifold Free Riemannian Optimization
Riemannian optimization is a principled framework for solving optimization problems where the desired optimum is constrained to a smooth manifold $\mathcal{M}$.
Avron, Haim +2 more
core
Conformality and Pseudo-Riemannian Manifolds.
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 113-123 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 113-123 ; streszcz. pol., ros.
Ławrynowicz, Julian +1 more
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On the singularities of a Riemannian manifold
G. Szekeres
semanticscholar +1 more source
Soliton-Type Equations on a Riemannian Manifold
We study some particular cases of soliton-type equations on a Riemannian manifold. We give an estimation of the first nonzero eigenvalue of the Laplace operator and provide necessary and sufficient conditions for the manifold to be isometric to a sphere.
Adara M. Blaga +2 more
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OSSERMAN LIGHTLIKE HYPERSURFACE CASES
In this study, we constructed four examples of light-like hypersurfaces that satisfy the conditions of an Osserman manifold, based on the characterisation of light-like hypersurfaces of a pseudo-Riemannian manifold of dimension m+2.
Paulin Shakwanda Mulebu +4 more
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