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» On discrete norms of polynomials
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ANTS
2004
Springer
111views Algorithms» more  ANTS 2004»
14 years 3 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
JCT
2008
83views more  JCT 2008»
13 years 9 months 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
ECCC
2007
100views more  ECCC 2007»
13 years 9 months 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
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 7 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
NIPS
2008
13 years 11 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