Results 21 to 30 of about 236,452 (310)

An approach to adaptive filtering with variable step size based on geometric algebra

open access: yesIET Communications, 2022
Recently, adaptive filtering algorithms have attracted much more attention in the field of signal processing. By studying the shortcoming of the traditional real‐valued fixed step size adaptive filtering algorithm, this paper proposed the novel approach ...
Haiquan Wang   +3 more
doaj   +1 more source

A multi‐channel geometric algebra residual network for traffic data prediction

open access: yesIET Intelligent Transport Systems, 2022
Traffic data prediction offers a significant way to evaluate the future traffic congestion status; many deep learning based approaches have been widely applied in this field. Most current methods only consider short‐term traffic data forecasting; however,
Di Zang   +6 more
doaj   +1 more source

Dynamic and Geometric Phase Formulasin the Hestenes-Dirac Theory [PDF]

open access: yes, 2003
We examine the dynamic and geometric phases of the electron in quantum mechanics using Hestenes' spacetime algebra formalism. First the standard dynamic phase formula is translated into the spacetime algebra.
Clawson, Richard   +3 more
core   +2 more sources

Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik

open access: yesJurnal Fourier, 2012
In this paper geometric algebra and its aplication in the theory of classical electrodynamic will  be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory.
Joko Purwanto
doaj   +1 more source

Geometric-algebra affine projection adaptive filter

open access: yesEURASIP Journal on Advances in Signal Processing, 2021
Geometric algebra (GA) is an efficient tool to deal with hypercomplex processes due to its special data structure. In this article, we introduce the affine projection algorithm (APA) in the GA domain to provide fast convergence against hypercomplex ...
Yuetao Ren, Yongfeng Zhi, Jun Zhang
doaj   +1 more source

Universal corner symmetry and the orbit method for gravity

open access: yesNuclear Physics B, 2023
A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj   +1 more source

Geometric Algebra Model of Distributed Representations [PDF]

open access: yes, 2010
Formalism based on GA is an alternative to distributed representation models developed so far --- Smolensky's tensor product, Holographic Reduced Representations (HRR) and Binary Spatter Code (BSC).
D. Aerts   +11 more
core   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

open access: yesIEEE Access, 2019
Image segmentation is widely used in the field of agriculture to improve the yields and protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also contributing to the inter and intra crop monitoring.
Prince Waqas Khan   +4 more
doaj   +1 more source

Geometric Algebra Applied to Multiphase Electrical Circuits in Mixed Time–Frequency Domain by Means of Hypercomplex Hilbert Transform

open access: yesMathematics, 2022
In this paper, power flows in electrical circuits are modelled in a mixed time-frequency domain by using geometric algebra and the Hilbert transform for the first time.
Francisco G. Montoya   +4 more
doaj   +1 more source

Hopf algebras up to homotopy and the Bockstein spectral sequence [PDF]

open access: yes, 2004
Anick proved that every q-mild Hopf algebra up to homotopy is isomorphic to a primitively-generated chain Hopf algebra. We provide a new proof, that involves extensive use of the Bockstein spectral sequence.Comment: Published by Algebraic and Geometric ...
Adams, Jonathan Scott
core   +3 more sources

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