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DCG
2010
76views more  DCG 2010»
15 years 5 months ago
The Euclidean Distortion of the Lamplighter Group
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
Tim Austin, Assaf Naor, Alain Valette
DM
2010
117views more  DM 2010»
15 years 5 months ago
The distinguishing chromatic number of Cartesian products of two complete graphs
A labeling of a graph G is distinguishing if it is only preserved by the trivial automorphism of G. The distinguishing chromatic number of G is the smallest integer k such that G ...
Janja Jerebic, Sandi Klavzar
ECCC
2010
78views more  ECCC 2010»
15 years 5 months ago
PCPs and the Hardness of Generating Synthetic Data
Assuming the existence of one-way functions, we show that there is no polynomial-time, differentially private algorithm A that takes a database D ({0, 1}d )n and outputs a "...
Jonathan Ullman, Salil P. Vadhan
ECCC
2010
82views more  ECCC 2010»
15 years 5 months ago
A Strong Parallel Repetition Theorem for Projection Games on Expanders
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n...
Ran Raz
136
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EC
2008
103views ECommerce» more  EC 2008»
15 years 5 months ago
A Graphical Model for Evolutionary Optimization
We present a statistical model of empirical optimization that admits the creation of algorithms with explicit and intuitively defined desiderata. Because No Free Lunch theorems di...
Christopher K. Monson, Kevin D. Seppi