Results 1 to 10 of about 755 (98)
Discrete Translates in Function Spaces [PDF]
Analysis Mathematica, 2018 We construct a Schwartz function $ $ such that for every exponentially small perturbation of integers $ $, the set of translates $\{ (t- ), \in \}$ 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
Entropy, 2021 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
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Discrete Fréchet Distance under Translation [PDF]
ACM Transactions on Algorithms, 2021 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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DUB: Discrete Unit Back-translation for Speech Translation
Findings of the Association for Computational Linguistics: ACL 2023, 2023 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.
Zhang, Dong +4 more
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Spatial-Translation-Induced Discrete Time Crystals [PDF]
Physical Review Letters, 2018 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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Incorporating Discrete Translation Lexicons into Neural Machine Translation [PDF]
Proceedings of the 2016 Conference on Empirical Methods in Natural
Language Processing, 2016 Accepted at EMNLP ...
Arthur, Philip +2 more
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Bijective, Non-Bijective and Semi-Bijective Translations on the Triangular Plane
Mathematics, 2019 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
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Direct Speech-to-Speech Translation With Discrete Units
Proceedings of the 60th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), 2022 Accepted to ACL 2022 (long paper)
Lee, Ann +11 more
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Self-assembled fibre optoelectronics with discrete translational symmetry [PDF]
Nature Communications, 2016 AbstractFibres with electronic and photonic properties are essential building blocks for functional fabrics with system level attributes. The scalability of thermal fibre drawing approach offers access to large device quantities, while constraining the devices to be translational symmetric.
Michael Rein +5 more
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Spontaneous breaking of a discrete time-translation symmetry [PDF]
Physical Review A, 2021 Spontaneous symmetry breaking is a ubiquitous concept and is well described in many textbooks of physics. However, direct observation of spontaneous symmetry breaking is lacking. Here we present the observation and analysis of a spontaneously broken discrete time-translation symmetry in our driven system.
J. Smits +2 more
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