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CORR
2008
Springer
112views Education» more  CORR 2008»
15 years 3 months ago
The discrete Fourier transform: A canonical basis of eigenfunctions
We exhibit a canonical basis of eigenvectors for the discrete Fourier transform (DFT). The transition matrix from the standard basis to defines a novel transform which we call ...
Shamgar Gurevich, Ronny Hadani, Nir A. Sochen
APPML
2010
112views more  APPML 2010»
15 years 3 months ago
Computing Fourier transforms and convolutions of Sn-1-invariant signals on Sn in time linear in n
Let Sn denote the symmetric group on {1, . . . , n} and Sn-1 the stabilizer subgroup of n. We derive algorithms for computing Fourier transforms of left and right Sn-1-invariant s...
Michael Clausen, Ramakrishna Kakarala
STOC
2006
ACM
244views Algorithms» more  STOC 2006»
16 years 4 months ago
Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
We introduce a new low-distortion embedding of d 2 into O(log n) p (p = 1, 2), called the Fast-Johnson-LindenstraussTransform. The FJLT is faster than standard random projections ...
Nir Ailon, Bernard Chazelle
PACT
2009
Springer
15 years 10 months ago
Parallel FFT with Eden Skeletons
The notion of Fast Fourier Transformation (FFT) describes a range of efficient algorithms to compute the discrete Fourier transformation, frequency distribution in a signal. FFT pl...
Jost Berthold, Mischa Dieterle, Oleg Lobachev, Rit...
HIPC
2007
Springer
15 years 10 months ago
FFTC: Fastest Fourier Transform for the IBM Cell Broadband Engine
The Fast Fourier Transform (FFT) is of primary importance and a fundamental kernel in many computationally intensive scientific applications. In this paper we investigate its perf...
David A. Bader, Virat Agarwal