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2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2022 Transformer architectures show spectacular performance on NLP tasks and have recently also been used for tasks such as image completion or image classification. Here we propose to use a sequential image representation, where each prefix of the complete sequence describes the whole image at reduced resolution. Using such Fourier Domain Encodings (FDEs),
Tim-Oliver Buchholz, Florian Jug
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A Primer on Fourier Analysis for the Geosciences, 2018 (Here R denotes the set of real numbers, and R+ denotes the set of positive real numbers.) This series is called the real spectral-decomposition-form Fourier series of the period-p function y because of Jean Baptiste Joseph Fourier’s book on heat ...
Joan Swearer
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2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2017 We consider the problem of computing the Fourier transform of high-dimensional vectors, distributedly over a cluster of machines consisting of a master node and multiple worker nodes, where the worker nodes can only store and process a fraction of the inputs.
Qian Yu 0001 +2 more
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
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Fractional Fourier Transform [PDF]
2001 European Control Conference (ECC), 2010 Chapter ...
Ozaktas, Haldun M. +2 more
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FNFT: A Software Library for Computing Nonlinear Fourier Transforms
Journal of Open Source Software, 2018 The conventional Fourier transform was originally developed in order to solve the heat equation, which is a standard example for a linear evolution equation.
S. Wahls, S. Chimmalgi, P. Prins
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The Graphon Fourier Transform [PDF]
ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020 In many network problems, graphs may change by the addition of nodes, or the same problem may need to be solved in multiple similar graphs. This generates inefficiency, as analyses and systems that are not transferable have to be redesigned. To address this, we consider graphons, which are both limit objects of convergent graph sequences and random ...
Luana Ruiz +2 more
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Fourier transforms of Dini-Lipschitz functions
International Journal of Mathematics and Mathematical Sciences, 1986 It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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Toolbox for the Computation of 2D Fourier Transforms in Polar Coordinates via Maple
Journal of Open Research Software, 2015 The Fourier transform is one of the most useful tools in science and engineering and can be expanded to multi-dimensions and curvilinear coordinates. A toolbox of functions for the computation of two dimensional Fourier transforms in polar coordinates ...
Edem Dovlo, Natalie Baddour
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