Results 81 to 90 of about 70,602 (222)

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling [PDF]

, 2016
We relate some basic constructions of stochastic analysis to differential geometry, via random walk approximations. We consider walks on both Riemannian and sub-Riemannian manifolds in which the steps consist of travel along either geodesics or integral ...
A. Agrachev, U. Boscain, Robert W. Neel, L. Rizzi   +3 more
semanticscholar   +1 more source

Multispectral Chiral Quasi‐Bound States in the Continuum Enabled Microfluidics for High‐Throughput Molecular Screening and Quantification

Advanced Science, EarlyView.
A microfluidics‐integrated chiral quasi‐BIC metachip is developed that generates strong broadband CD from 0.5–2.0 THz in aqueous environments. A UMAP algorithm processes the resulting multidimensional CD features for simultaneous biomolecular conformation identification and concentration quantification (0.05–0.3 mg dL−1).
Xinyue Liang, Zihan Zhao, Xiaocong Tang, Haiyue Yang, Lanju Liang, Meng Zhao, Cong Wang, Lei Wang, Xumin Ding   +8 more
wiley   +1 more source

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker, Ankit Yadav, Ramandeep Kaur   +2 more
doaj   +1 more source

Riemannian Geometry for the Classification of Brain States with Intracortical Brain Recordings

Advanced Intelligent Systems, EarlyView.
Geometric machine learning is applied to decode brain states from invasive intracortical neural recordings, extending Riemannian methods to the invasive regime where data is scarcer and less stationary. A Minimum Distance to Mean classifier on covariance manifolds uses geodesic distances to outperform convolutional neural networks while reducing ...
Arnau Marin‐Llobet, Sergio Sánchez‐Manso, Arnau Manasanch, Lluc Tresserras, Xinhe Zhang, Yining Hua, Hao Zhao, Melody Torao‐Angosto, Maria V Sanchez‐Vives, Leonardo Dalla Porta   +9 more
wiley   +1 more source

Moving frames for cotangent bundles

, 2002
Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.Comment: 13 pages, to appear in Rep.
Ehlers, K. M., Koiller, J., Rios, P. de M.   +2 more
core   +1 more source

Elastic Fast Marching Learning from Demonstration

Advanced Intelligent Systems, EarlyView.
This article presents Elastic Fast Marching Learning (EFML), a novel approach for learning from demonstration that combines velocity‐based planning with elastic optimization. EFML enables smooth, precise, and adaptable robot trajectories in both position and orientation spaces.
Adrian Prados, Brendan Hertel, Ramon Barber, Reza Azadeh   +3 more
wiley   +1 more source

Projection methods for some constrained systems [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2003
This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures ...
Paulo Pitanga, Paulo R. Rodrigues
doaj  

Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry

, 2015
We consider local geometry of sub-pseudo-Riemannian structures on contact manifolds. We construct fundamental invariants of the structures and show that the structures give rise to Einstein-Weyl geometries in dimension 3, provided that certain additional
Grochowski, Marek, Krynski, Wojciech
core   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source

On an evolution equation in sub-Finsler geometry

Analysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
doaj   +1 more source