Results 11 to 20 of about 373,220 (224)

Reducing the Dimensionality of SPD Matrices with Neural Networks in BCI

Mathematics, 2023
In brain–computer interface (BCI)-based motor imagery, the symmetric positive definite (SPD) covariance matrices of electroencephalogram (EEG) signals with discriminative information features lie on a Riemannian manifold, which is currently attracting ...
Zhen Peng, Hongyi Li, Di Zhao, Chengwei Pan   +3 more
doaj   +1 more source

On conformal transformations of metrics of Riemannian paracomplex manifolds

Дифференциальная геометрия многообразий фигур, 2021
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds.
S.E. Stepanov, I. I. Tsyganok , V. Rovenski   +2 more
doaj   +1 more source

Towards Generalized and Efficient Metric Learning on Riemannian Manifold

International 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, Hao Cheng, Q. Hu, Qilong Wang, Changqing Zhang   +4 more
semanticscholar   +1 more source

A General Metric for Riemannian Manifold Hamiltonian Monte Carlo [PDF]

International 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

On the projections of Laplacians under Riemannian submersions

International Journal of Mathematics and Mathematical Sciences, 2001
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
doaj   +1 more source

Contact-Complex Riemannian Submersions

Mathematics, 2021
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan, Şemsi Eken Meriç, Erol Kılıç   +2 more
doaj   +1 more source

Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold [PDF]

, 2013
We consider biharmonic maps $$\phi :(M,g)\rightarrow (N,h)$$ϕ:(M,g)→(N,h) from a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. Assume that $$ p $$p satisfies $$ 2\le p
S. Maeta
semanticscholar   +1 more source

On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection

Symmetry, 2017
In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection.
Jing Li, Guoqing He, P. Zhao
semanticscholar   +1 more source

Opinion dynamics on a general compact Riemannian manifold

Networks 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, Sean T. McQuade, N. Duteil   +2 more
semanticscholar   +1 more source

Biharmonic Submanifolds in a Riemannian Manifold with Non-Positive Curvature [PDF]

Results in Mathematics, 2011
In this paper, we show that, for every biharmonic submanifold (M, g) of a Riemannian manifold (N, h) with non-positive sectional curvature, if \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Nobumitsu Nakauchi, H. Urakawa
semanticscholar   +1 more source