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» On discrete norms of polynomials
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92
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ANTS
2004
Springer
111views Algorithms» more  ANTS 2004»
15 years 5 months ago
A Method to Solve Cyclotomic Norm Equations
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
Nick Howgrave-Graham, Michael Szydlo
89
Voted
JCT
2008
83views more  JCT 2008»
15 years 12 days ago
Bounds on degrees of p-adic separating polynomials
We study a discrete optimization problem introduced by Babai, Frankl, Kutin, and Stefankovic (2001), which provides bounds on degrees of polynomials with p-adically controlled beh...
Daniel J. Katz, Joshua Zahl
90
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ECCC
2007
100views more  ECCC 2007»
15 years 12 days ago
Unconditional pseudorandom generators for low degree polynomials
Abstract: We give an explicit construction of a pseudorandom generator against lowdegree polynomials over finite fields. Pseudorandom generators against linear polynomials, known...
Shachar Lovett
85
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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
15 years 9 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
121
Voted
NIPS
2008
15 years 1 months ago
Exploring Large Feature Spaces with Hierarchical Multiple Kernel Learning
For supervised and unsupervised learning, positive definite kernels allow to use large and potentially infinite dimensional feature spaces with a computational cost that only depe...
Francis Bach