Title
A sparse multidimensional FFT for real positive vectors.
Abstract
We present a sparse multidimensional FFT randomized algorithm (sMFFT) for positive real vectors. The algorithm works in any fixed dimension, requires an (almost)-optimal number of samples ($mathcal{O}left( R logleft( frac{N}{R} right ) right )$) and runs in $mathcal{O}left( R log(R) logleft( frac{N}{R} right ) right )$ complexity (where $N$ is the size of the vector and $R$ the number of nonzeros). It is stable to noise and exhibits an exponentially small probability of failure.
Year
Venue
Field
2016
arXiv: Data Structures and Algorithms
Discrete mathematics,Randomized algorithm,Combinatorics,Probability of failure,Fast Fourier transform,Mathematics
DocType
Volume
Citations 
Journal
abs/1604.06682
0
PageRank 
References 
Authors
0.34
11
4
Name
Order
Citations
PageRank
Pierre-David Létourneau102.03
Harper Langston2766.41
Benoît Meister313812.84
Richard Lethin411817.17