A rotation and translation invariant discrete saliency network [PDF]
Biological Cybernetics, 2003 We describe a neural network that enhances and completes salient closed contours in images. Our work is different from all previous work in three important ways. First, like the input provided to primary visual cortex (V1) by the lateral geniculate nucleus (LGN), the input to our computation is isotropic.
Williams, Lance R., Zweck, John W.
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Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals [PDF]
Journal of Physics: Condensed Matter, 2020 As is well known, crystals have discrete space translational symmetry. It was recently noticed that one-dimensional crystals possibly have discrete Poincar symmetry, which contains discrete Lorentz and discrete time translational symmetry as well. In this paper, we classify the discrete Poincar groups on two- and three-dimensional Bravais lattices.
Xiuwen Li +3 more
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Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm [PDF]
, 2011 Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao ...
Ergul, O.
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Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
, 2003 The twisted Eguchi-Kawai (TEK) model provides a non-perturbative definition of noncommutative Yang-Mills theory: the continuum limit is approached at large $N$ by performing suitable double scaling limits, in which non-planar contributions are no longer ...
A. Armoni +33 more
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A new mechanism of mass protection for fermions [PDF]
, 1999 We present a way of protecting a Dirac fermion interacting with a scalar (Higgs) field from getting a mass from the vacuum. It is obtained through an implementation of translational symmetry when the theory is formulated with a momentum cutoff, which ...
A.J. van der Sijs +12 more
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From covariant to canonical formulations of discrete gravity
, 2010 Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism.
Alexandrov S +29 more
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The quantum cat map on the modular discretization of extremal black hole horizons
, 2018 Based on our recent work on the discretization of the radial AdS$_2$ geometry of extremal BH horizons,we present a toy model for the chaotic unitary evolution of infalling single particle wave packets.
Axenides, Minos +2 more
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Garside groups are strongly translation discrete
Journal of Algebra, 2007 The Garside group, as a generalization of braid groups and Artin groups of finite types, is defined as the group of fractions of a Garside monoid. We show that the semidirect product of Garside monoids is a Garside monoid. We use the semidirect product $\mathbb Z\ltimes G^n$ of the infinite cyclic group $\mathbb Z$ and the cartesian product $G^n$ of a ...
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A SVD accelerated kernel-independent fast multipole method and its application to BEM
, 2013 The kernel-independent fast multipole method (KIFMM) proposed in [1] is of almost linear complexity. In the original KIFMM the time-consuming M2L translations are accelerated by FFT.
Cao, Yanchuang, Rong, Junjie, Wen, Lihua
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Discrete Lorentz symmetry and discrete time translational symmetry
New Journal of Physics, 2018 17 pages, 4 figures, the published ...
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