Faster Walsh-Hadamard and Discrete Fourier Transforms from Matrix Non-rigidity

Author:

Alman Josh1,Rao Kevin1

Affiliation:

1. Columbia University, USA

Funder

Simons Foundation

NSF (National Science Foundation)

Publisher

ACM

Reference26 articles.

1. Nir Ailon. 2013. A lower bound for fourier transform computation in a linear model over 2x2 unitary gates using matrix entropy. arXiv preprint arXiv:1305.4745. Nir Ailon. 2013. A lower bound for fourier transform computation in a linear model over 2x2 unitary gates using matrix entropy. arXiv preprint arXiv:1305.4745.

2. Nir Ailon. 2014. An n\ log n Lower Bound for Fourier Transform Computation in the Well Conditioned Model. arXiv preprint arXiv:1403.1307. Nir Ailon. 2014. An n\ log n Lower Bound for Fourier Transform Computation in the Well Conditioned Model. arXiv preprint arXiv:1403.1307.

3. Nir Ailon . 2015 . Tighter fourier transform lower bounds. In Automata, Languages, and Programming : 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part I. 14–25 . Nir Ailon. 2015. Tighter fourier transform lower bounds. In Automata, Languages, and Programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part I. 14–25.

4. Kronecker products, low-depth circuits, and matrix rigidity

5. Probabilistic rank and matrix rigidity

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