Results 71 to 80 of about 1,198,709 (262)
Towards Adaptive Classification using Riemannian Geometry approaches in Brain-Computer Interfaces
Balkan Conference in Informatics, 2019 The omnipresence of non-stationarity and noise in Electroencephalogram signals restricts the ubiquitous use of Brain-Computer interface. One of the possible ways to tackle this problem is to adapt the computational model used to detect and classify ...
Satyam Kumar, F. Yger, F. Lotte
semanticscholar +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 +3 more
wiley +1 more source
Advanced Nonlinear Studies, 2022 In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa +2 more
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The R.I. Pimenov unified gravitation and electromagnetism field theory as semi-Riemannian geometry
, 2008 More then forty years ago R.I. Pimenov introduced a new geometry -- semi-Riemannian one -- as a set of geometrical objects consistent with a fibering $ pr: M_n \to M_m.$ He suggested the heuristic principle according to which the physically different ...
A. Chodos +11 more
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
wiley +1 more source
Induced geometry from disformal transformation
Physics Letters B, 2015 In this note, we use the disformal transformation to induce a geometry from the manifold which is originally Riemannian. The new geometry obtained here can be considered as a generalization of Weyl integrable geometry.
Fang-Fang Yuan, Peng Huang
doaj +1 more source
On the geometry of Riemannian cubic polynomials
Differential Geometry and its Applications, 2001 The aim of this paper is to characterize the local minimizers among the generalized cubic polynomials for a functional expressed by the covariant acceleration on a finite-dimensional Riemannian manifold. Inspired by the theory of geodesics, necessary and sufficient optimality conditions are obtained in terms of generalized notions of Jacobi fields and ...
Peter E. Crouch +2 more
openaire +2 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
Fractons, non-Riemannian geometry, and double field theory
Physical Review Research, 2022 We initiate a systematic study of fracton physics within the geometric framework of double field theory. We ascribe the immobility and large degeneracy of the former to the non-Riemannian backgrounds of the latter, in terms of generalized geodesics and ...
Stephen Angus +2 more
doaj +1 more source
The Information Geometry of Sensor Configuration
Sensors, 2021 In problems of parameter estimation from sensor data, the Fisher information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the measurements ...
Simon Williams +3 more
doaj +1 more source