Results 211 to 220 of about 320,618 (278)

Riemannian Manifold Learning

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008
Recently, manifold learning has been widely exploited in pattern recognition, data analysis, and machine learning. This paper presents a novel framework, called Riemannian manifold learning (RML), based on the assumption that the input high-dimensional data lie on an intrinsically low-dimensional Riemannian manifold.
Hongbin Zha
exaly   +4 more sources

Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold

, 2017
We introduce lightlike hypersurfaces of a golden semi-Riemannian manifold. We investigate several properties of lightlike hypersurfaces of a golden semi-Riemannian manifold.
N. Poyraz, Erol Yaşar
semanticscholar   +2 more sources

Generalized Learning Riemannian Space Quantization: A Case Study on Riemannian Manifold of SPD Matrices

IEEE Transactions on Neural Networks and Learning Systems, 2020
Learning vector quantization (LVQ) is a simple and efficient classification method, enjoying great popularity. However, in many classification scenarios, such as electroencephalogram (EEG) classification, the input features are represented by symmetric ...
Fengzhen Tang, Meng Fan, P. Tiňo
semanticscholar   +1 more source

Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D Riemannian manifold with Bishop equations

, 2020
We review the geometric evolution of a linearly polarized light wave coupling into an optical fiber and the rotation of the polarization plane in a three-dimensional (3D) Riemannian manifold.
T. Körpınar, R. Demi̇rkol
semanticscholar   +1 more source

Riemannian Manifold

Computer Vision, 2020
Definition 4 (Riemannian Metric and Riemannian Manifold) [37] Let M be a manifold, C∞(M) be the comminicative ring of smooth functions onM, and C∞(TM) be the set of smooth vector fields onM forming a module over C∞(M).
Tong Lin, H. Zha
semanticscholar   +1 more source

EQUIMORPHISMS OF RIEMANNIAN MANIFOLDS

Mathematics of the USSR-Izvestiya, 1972
We establish a sufficient condition for stability of Riemannian manifolds, i.e. a property according to which every equimorphism of this manifold can be topologically extended to its absolute.
Efremovich, V. A., Loginov, Eh. A., Tikhomirova, E. S.   +2 more
openaire   +2 more sources

Meta‐Golden Riemannian manifolds

Mathematical Methods in the Applied Sciences, 2022
The logarithmic spiral in nature has been given as an example of the golden ratio until now. But recently, it has been shown that this is not true, and the logarithmic spiral has actually been shown to provide the so‐called Meta‐Golden‐Chi ratio. Inspiring from Meta‐Golden‐Chi ratio, we introduce almost Meta‐Golden manifolds, give a characterization ...
Fulya Şahin, Bayram Şahin
openaire   +3 more sources

Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D semi-Riemannian manifold

Journal of Modern Optics, 2019
We review the geometric evolution of a linearly polarized light wave coupling into an optical fiber and the rotation of the polarization plane in the three dimensional semi-Riemannian manifold.
T. Korpinar, R. Demi̇rkol
semanticscholar   +1 more source

Symmetries on Riemannian Manifolds

Mathematische Nachrichten, 1988
AbstractLocally symmetric KÄHLER manifolds may be characterized as almost HERMITian manifolds with symplectic or holomorphic local geodesic symmetries. We extend the notion of a local geodesic symmetry and in particular, give a similar characterization of all RIEMANNian locally s‐regular manifolds with an s‐structure of odd order.
Ledger, A. J., Vanhecke, L.
openaire   +1 more source

Geodesic vector fields and Eikonal equation on a Riemannian manifold

Indagationes mathematicae, 2019
In this paper, we study the impact of geodesic vector fields (vector fields whose trajectories are geodesics) on the geometry of a Riemannian manifold. Since, Killing vector fields of constant lengths on a Riemannian manifold are geodesic vector fields ...
Sharief Deshmukh, V. Khan
semanticscholar   +1 more source