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Sparse Fourier Transform

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Recommended Reading

  1. Ailon N (2014) An n∖log n lower bound for Fourier transform computation in the well conditioned model. CoRR. abs/1403.1307, http://arxiv.org/abs/1403.1307

  2. Candes E, Tao T (2006) Near optimal signal recovery from random projections: universal encoding strategies. IEEE Trans Info Theory

    MATH  Google Scholar 

  3. Candes E, Romberg J, Tao T (2006) Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Info Theory 52:489–509

    Article  MathSciNet  MATH  Google Scholar 

  4. Charikar M, Chen K, Farach-Colton M (2002) Finding frequent items in data streams. In: ICALP

    Book  MATH  Google Scholar 

  5. Cormode G, Muthukrishnan S (2004) Improved data stream summaries: the count-min sketch and its applications. In: LATIN

    MATH  Google Scholar 

  6. Do Ba K, Indyk P, Price E, Woodruff D (2010) Lower bounds for sparse recovery. In: SODA

    MATH  Google Scholar 

  7. Donoho D (2006) Compressed sensing. IEEE Trans Info Theory 52(4):1289–1306

    Article  MathSciNet  MATH  Google Scholar 

  8. Ghazi B, Hassanieh H, Indyk P, Katabi D, Price E, Shi L (2013) Sample-optimal average-case sparse Fourier transform in two dimensions. In: Allerton

    Book  Google Scholar 

  9. Gilbert A, Guha S, Indyk P, Muthukrishnan M, Strauss M (2002) Near-optimal sparse Fourier representations via sampling. In: STOC

    Book  MATH  Google Scholar 

  10. Gilbert A, Muthukrishnan M, Strauss M (2005) Improved time bounds for near-optimal space Fourier representations. In: SPIE conference on wavelets

    Google Scholar 

  11. Gilbert AC, Li Y, Porat E, Strauss MJ (2010) Approximate sparse recovery: optimizing time and measurements. In: STOC, pp 475–484

    MATH  Google Scholar 

  12. Goldreich O, Levin L (1989) A hard-corepredicate for allone-way functions. In: STOC, pp 25–32

    Google Scholar 

  13. Hassanieh H, Indyk P, Katabi D, Price E (2012) Nearly optimal sparse Fourier transform. In: STOC

    Book  MATH  Google Scholar 

  14. Indyk P, Kapralov M (2014) Sample-optimal Fourier sampling in any constant dimension. In: 2014 IEEE 55th annual symposium on foundations of computer science (FOCS). IEEE, pp 514–523

    Google Scholar 

  15. Indyk P, Price E, Woodruff D (2011) On the power of adaptivity in sparse recovery. In: FOCS

    Book  MATH  Google Scholar 

  16. Iwen MA (2010) Combinatorial sublinear-time Fourier algorithms. Found Comput Math 10:303–338

    Article  MathSciNet  MATH  Google Scholar 

  17. Kushilevitz E, Mansour Y (1991) Learning decision trees using the Fourier spectrum. In: STOC

    Book  MATH  Google Scholar 

  18. Levin L (1993) Randomness and non-determinism. J Symb Logic 58(3):1102–1103

    Google Scholar 

  19. Mansour Y (1992) Randomized interpolation and approximation of sparse polynomials. In: ICALP

    MATH  Google Scholar 

  20. Morgenstern J (1973) Note on a lower bound on the linear complexity of the fast Fourier transform. J ACM (JACM) 20(2):305–306

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Eric Price .

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Price, E. (2016). Sparse Fourier Transform. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_800

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