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Decoding Multi-Class Motor Imagery and Motor Execution Tasks Using Riemannian Geometry Algorithms on Large EEG Datasets [PDF]
Sensors, 2023 The use of Riemannian geometry decoding algorithms in classifying electroencephalography-based motor-imagery brain–computer interfaces (BCIs) trials is relatively new and promises to outperform the current state-of-the-art methods by overcoming the noise
Zaid Shuqfa +2 more
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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception [PDF]
Vision, 2018 We present a Riemannian geometry theory to examine the systematically warped geometry of perceived visual space attributable to the size⁻distance relationship of retinal images associated with the optics of the human eye.
Peter D. Neilson +2 more
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Dynamic graphs, community detection, and Riemannian geometry [PDF]
Applied Network Science, 2018 A community is a subset of a wider network where the members of that subset are more strongly connected to each other than they are to the rest of the network.
Craig Bakker +2 more
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Riemannian geometry-based transfer learning for reducing training time in c-VEP BCIs. [PDF]
Sci Rep, 2022 Ying J, Wei Q, Zhou X.
europepmc +3 more sources
Corrigendum: Mental State Detection Using Riemannian Geometry on Electroencephalogram Brain Signals. [PDF]
Front Hum Neurosci, 2022 Wriessnegger SC +3 more
europepmc +3 more sources
On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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Poisson–Riemannian geometry [PDF]
Journal of Geometry and Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edwin J. Beggs, Shahn Majid
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Discrete Riemannian geometry [PDF]
Journal of Mathematical Physics, 1999 Within a framework of noncommutative geometry, we develop an analog of (pseudo-) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation. The latter is based on a correspondence between first order differential calculi and digraphs (the vertices of ...
Dimakis, Aristophanes +1 more
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Generic Riemannian Maps from Nearly Kaehler Manifolds
Computer Sciences & Mathematics Forum, 2023 In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold.
Richa Agarwal, Shahid Ali
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