Results 31 to 40 of about 320,618 (278)

Towards Generalized and Efficient Metric Learning on Riemannian Manifold

open access: yesInternational Joint Conference on Artificial Intelligence, 2018
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

open access: yesThe Quarterly Journal of Mathematics, 1991
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]

open access: yesArchivum Mathematicum, 2012
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
openaire   +3 more sources

Opinion dynamics on a general compact Riemannian manifold

open access: yesNetworks Heterog. Media, 2017
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]

open access: yesInternational Conference on Geometric Science of Information, 2012
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]

open access: yes, 2007
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

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2019
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]

open access: yes, 2013
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

open access: yesMiskolc Mathematical Notes
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
doaj   +1 more source

On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
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
doaj   +1 more source

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