Results 61 to 70 of about 17,624 (148)

Holographic-(V)AE: An end-to-end SO(3)-equivariant (variational) autoencoder in Fourier space

open access: yesPhysical Review Research
Group-equivariant neural networks have emerged as an efficient approach to model complex data, using generalized convolutions that respect the relevant symmetries of a system.
Gian Marco Visani   +3 more
doaj   +1 more source

Unitary spherical representations of Drinfeld doubles [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2016
Abstract We study irreducible spherical unitary representations of the Drinfeld double of the q-deformation of a connected simply connected compact Lie group, which can be considered as a quantum analogue of the complexification of the Lie group. In the case of
openaire   +2 more sources

3D model representation using spherical harmonics

open access: yesElectronics Letters, 1997
The authors introduce a method for decomposing a 3D model into spherical harmonic functions for later reconstruction. It is shown that spherical harmonic representations of models are efficient as the amount of data is reduced significantly. This method can be incorporated within model based coding (MBC) applications resulting in a performance increase.
S. Ertürk, T.J. Dennis
openaire   +1 more source

On a method for constructing the Green function of the Dirichlet problem for the Laplace equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The study of boundary value problems for elliptic equations is of both theoretical and applied interest. A thorough study of model physical and spectral problems requires an explicit and effective representation of the problem solution.
Т.Ш. Кaльменов
doaj   +1 more source

Spherical representation spaces of quivers

open access: yes
We consider representation spaces of quivers, together with their base change action, and classify the spherical varieties among them.
Müller, Jennifer, Reineke, Markus
openaire   +2 more sources

Nonabelian Fourier transforms for spherical representations [PDF]

open access: yesPacific Journal of Mathematics, 2018
Braverman and Kahzdan have introduced an influential conjecture on local functional equations for general Langlands $L$-functions. It is related to L. Lafforgue's equally influential conjectural construction of kernels for functorial transfers. We formulate and prove a version of Braverman and Kazhdan's conjecture for spherical representations over an ...
openaire   +3 more sources

Influence of $$f\,(R)$$ f(R) models on the existence of anisotropic self-gravitating systems

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
This paper aims to explore some realistic configurations of anisotropic spherical structures in the background of metric f(R) gravity, where R is the Ricci scalar.
Z. Yousaf   +3 more
doaj   +1 more source

Experimental Testing of Nonredundant Near-Field to Far-Field Transformations with Spherical Scanning Using Flexible Modellings for Nonvolumetric Antennas

open access: yesInternational Journal of Antennas and Propagation, 2013
This paper deals with the experimental testing of effective probe compensated near-field-far-field (NF-FF) transformations with spherical scanning requiring a minimum number of NF data.
Francesco D'Agostino   +4 more
doaj   +1 more source

Introducing Region Based Pooling for handling a varied number of EEG channels for deep learning models

open access: yesFrontiers in Neuroinformatics
IntroductionA challenge when applying an artificial intelligence (AI) deep learning (DL) approach to novel electroencephalography (EEG) data, is the DL architecture's lack of adaptability to changing numbers of EEG channels.
Thomas Tveitstøl   +10 more
doaj   +1 more source

Linear, planar and spherical tensor-valued diffusion MRI data by free waveform encoding in healthy brain, water, oil and liquid crystals

open access: yesData in Brief, 2019
Recently, several biophysical models and signal representations have been proposed for microstructure imaging based on tensor-valued, or multidimensional, diffusion MRI. The acquisition of the necessary data requires non-conventional pulse sequences, and
Filip Szczepankiewicz   +2 more
doaj   +1 more source

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