Results 31 to 40 of about 320,618 (278)
Towards Generalized and Efficient Metric Learning on Riemannian Manifold
Modeling data as points on non-linear Riemannian manifold has attracted increasing attentions in many computer vision tasks, especially visual recognition.
Peng Fei Zhu +4 more
semanticscholar +1 more source
THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
The space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support. It carries a canonical Riemannian metric which is invariant under the action of the diffeomorphism group.
Gil-Medrano, Olga, Michor, Peter W.
openaire +3 more sources
Riemannian symmetries in flag manifolds [PDF]
Flag manifolds are in general not symmetric spaces. But they are provided with a structure of $\mathbb{Z}_2^k$-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold $SO(5)/SO(2)\times SO(2) \times SO(1)$ what are the conditions for a metric adapted to the ...
PIU, MARIA PAOLA, REMM ELISABETH
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Opinion dynamics on a general compact Riemannian manifold
This work formulates the problem of defining a model for opinion dynamics on a general compact Riemannian manifold. Two approaches to modeling opinions on a manifold are explored.
Aylin Aydogdu +2 more
semanticscholar +1 more source
A General Metric for Riemannian Manifold Hamiltonian Monte Carlo [PDF]
Markov Chain Monte Carlo (MCMC) is an invaluable means of inference with complicated models, and Hamiltonian Monte Carlo, in particular Riemannian Manifold Hamiltonian Monte Carlo (RMHMC), has demonstrated success in many challenging problems.
M. Betancourt
semanticscholar +1 more source
An introduction to Smarandache multi-spaces and mathematical combinatorics [PDF]
These Smarandache spaces are right theories for objectives by logic. However, the mathematical combinatorics is a combinatorial theory for branches in classical mathematics motivated by a combinatorial speculation.
Linfan Mao, Mao. Linfan
core +1 more source
A (CHR)3-flat trans-Sasakian manifold
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
doaj +1 more source
Geodesic Monte Carlo on Embedded Manifolds [PDF]
Markov chain Monte Carlo methods explicitly defined on the manifold of probability distributions have recently been established. These methods are constructed from diffusions across the manifold and the solution of the equations describing geodesic flows
Simon Byrne +5 more
core +1 more source
Biharmonic curves along Riemannian submersions
The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
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On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds
The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
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