Results 1 to 10 of about 943 (248)
Discrete Translates in Function Spaces [PDF]
We construct a Schwartz function $φ$ such that for every exponentially small perturbation of integers $Λ$, the set of translates $\{φ(t-λ), λ\inΛ\}$ spans the space $L^p(R)$, for every $p > 1$. This result remains true for more general function spaces $X$, whose norm is "weaker" than $L^1$ (on bounded functions).
Olevskii, A., Ulanovskii, A.
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Vector Arithmetic in the Triangular Grid
Vector arithmetic is a base of (coordinate) geometry, physics and various other disciplines. The usual method is based on Cartesian coordinate-system which fits both to continuous plane/space and digital rectangular-grids.
Khaled Abuhmaidan +2 more
doaj +1 more source
DUB: Discrete Unit Back-translation for Speech Translation
How can speech-to-text translation (ST) perform as well as machine translation (MT)? The key point is to bridge the modality gap between speech and text so that useful MT techniques can be applied to ST. Recently, the approach of representing speech with unsupervised discrete units yields a new way to ease the modality problem.
Dong Zhang +4 more
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Direct Speech-to-Speech Translation With Discrete Units
Accepted to ACL 2022 (long paper)
Ann Lee 0001 +11 more
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Incorporating Discrete Translation Lexicons into Neural Machine Translation [PDF]
Accepted at EMNLP ...
Philip Arthur +2 more
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Discrete Fréchet Distance under Translation [PDF]
The discrete Fréchet distance is a popular measure for comparing polygonal curves. An important variant is the discrete Fréchet distance under translation, which enables detection of similar movement patterns in different spatial domains.
Bringmann, Karl +2 more
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A rotation and translation invariant discrete saliency network [PDF]
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.
Lance R. Williams, John W. Zweck
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Bijective, Non-Bijective and Semi-Bijective Translations on the Triangular Plane
The triangular plane is the plane which is tiled by the regular triangular tessellation. The underlying discrete structure, the triangular grid, is not a point lattice. There are two types of triangle pixels. Their midpoints are assigned to them.
Khaled Abuhmaidan, Benedek Nagy
doaj +1 more source
Spatial-Translation-Induced Discrete Time Crystals [PDF]
A discrete time crystal is a phase unique to nonequilibrium systems, where discrete time translation symmetry is spontaneously broken. Most of conventional time crystals proposed so far rely on spontaneous breaking of on-site symmetries and their corresponding on-site symmetry operations.
Mizuta, Kaoru +3 more
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Algorithms for the discrete Fréchet distance under translation
Journal of Computational Geometry, Vol. 11 No. 1 (2020)
Omrit Filtser, Matthew J. Katz
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