Results 91 to 100 of about 752 (172)

The Sub-Riemannian Geometry of Contact Manifolds

This paper explores the intricate relationship between sub-Riemannian geometry and contact manifolds, two fundamental areas of modern differential geometry with profound implications in fields ranging from optimal control theory to theoretical physics. Sub-Riemannian geometry, characterized by a metric defined on a non-integrable distribution, provides
Revista, Zen, MATH, 10
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Dilatation structures in sub-riemannian geometry

, 2007
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub ...
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Geometry of sub-Riemannian diffusion processes

, 2018
Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds.
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A Band-Aware Riemannian Network with Domain Adaptation for Motor Imagery EEG Signal Decoding. [PDF]

Brain Sci
Wang Z, Ma Y, Du Y, She Q.
europepmc   +1 more source

RiTex: Harmonization of Radiomic Features Based on Riemannian Geometry. [PDF]

J Imaging
Voitenko DA, Vladzymyrskyy AV, Omelyanskaya OV, Vasilev YA, Blokhin IA, Kodenko MR.   +5 more
europepmc   +1 more source

Filter bank CSP with Riemannian weighting for disability-centric motor imagery brain computer interface. [PDF]

Brain Inform
Jihen S, Karmani S, Belwafi K, Jemmali M, Djemal R.   +4 more
europepmc   +1 more source

Viscosity solutions to the ∞-Laplace equation in Grushin-type spaces

Modern Mathematical Methods
In this paper, we prove the existence and uniqueness of viscosity solutions to the infinite Laplace equation in Grushin-type spaces whose tangent spaces consist of arbitrary triangular vector fields.
Thomas Bieske, Zachary Forrest
doaj  

Data field theory: a geometric framework for learning on Riemannian manifolds with synthetic validation and limitation analysis. [PDF]

Front Big Data
Nehzati M.
europepmc   +1 more source

RMETNet: A cross-subject motor imagery EEG signal classification model based on TSLANet and riemannian geometry features. [PDF]

PLoS One
Zhao Y, He D, Ren F, Xia Q, Xu L, Xie G, Zhang X, Yang R, Zou S, Jiang B.   +9 more
europepmc   +1 more source

Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis. [PDF]

J Math Imaging Vis
van den Berg NJ, Mula O, Vis L, Duits R.
europepmc   +1 more source