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SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 2 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
ECCC
2010
95views more  ECCC 2010»
13 years 5 months ago
Bounded-depth circuits cannot sample good codes
We study a variant of the classical circuit-lower-bound problems: proving lower bounds for sampling distributions given random bits. We prove a lower bound of 1 - 1/n(1) on the st...
Shachar Lovett, Emanuele Viola
ECCC
2011
207views ECommerce» more  ECCC 2011»
13 years 10 days ago
Balls and Bins: Smaller Hash Families and Faster Evaluation
A fundamental fact in the analysis of randomized algorithm is that when n balls are hashed into n bins independently and uniformly at random, with high probability each bin contai...
L. Elisa Celis, Omer Reingold, Gil Segev, Udi Wied...
FOCS
2008
IEEE
13 years 11 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
COCO
2003
Springer
145views Algorithms» more  COCO 2003»
13 years 10 months ago
Hardness vs. Randomness within Alternating Time
We study the complexity of building pseudorandom generators (PRGs) with logarithmic seed length from hard functions. We show that, starting from a function f : {0, 1}l → {0, 1} ...
Emanuele Viola