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» Multithreaded algorithms for the fast Fourier transform
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STOC
2006
ACM
244views Algorithms» more  STOC 2006»
14 years 7 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
CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 7 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
STOC
2012
ACM
192views Algorithms» more  STOC 2012»
11 years 9 months ago
Nearly optimal sparse fourier transform
We consider the problem of computing the k-sparse approximation to the discrete Fourier transform of an ndimensional signal. We show: • An O(k log n)-time randomized algorithm f...
Haitham Hassanieh, Piotr Indyk, Dina Katabi, Eric ...
CORR
2007
Springer
194views Education» more  CORR 2007»
13 years 7 months ago
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
Abstract—This paper presents a systematic methodology to derive and classify fast algorithms for linear transforms. The approach is based on the algebraic signal processing theor...
Markus Püschel, José M. F. Moura
APPML
2010
112views more  APPML 2010»
13 years 7 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