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The Cartographer
A sparse multidimensional FFT for real positive vectors
April 22, 2016 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Pierre-David Letourneau, Harper Langston, Benoit Meister, Richard Lethin
arXiv ID
1604.06682
Category
cs.DS: Data Structures & Algorithms
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We present a sparse multidimensional FFT (sMFFT) randomized algorithm for real positive vectors. The algorithm works in any fixed dimension, requires (O(R log(R) log(N)) ) samples and runs in O( R log^2(R) log(N)) complexity (where N is the total size of the vector in d dimensions and R is the number of nonzeros). It is stable to low-level noise and exhibits an exponentially small probability of failure.
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