Sciweavers

FOCS
2006
IEEE
15 years 11 months ago
Lp metrics on the Heisenberg group and the Goemans-Linial conjecture
We prove that the function d : R3 × R3 → [0, ∞) given by d (x, y, z), (t, u, v) = (t − x)2 + (u − y)2 2 + (v − z + 2xu − 2yt)2 1 2 + (t − x)2 + (u − y)2 1 2 . is ...
James R. Lee, Assaf Naor
127
Voted
FOCS
2006
IEEE
15 years 11 months ago
Approximately List-Decoding Direct Product Codes and Uniform Hardness Amplification
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
FOCS
2006
IEEE
15 years 11 months ago
Hardness of Learning Halfspaces with Noise
Learning an unknown halfspace (also called a perceptron) from labeled examples is one of the classic problems in machine learning. In the noise-free case, when a halfspace consist...
Venkatesan Guruswami, Prasad Raghavendra
FOCS
2006
IEEE
15 years 11 months ago
A simple condition implying rapid mixing of single-site dynamics on spin systems
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
Thomas P. Hayes
140
Voted
FOCS
2006
IEEE
15 years 11 months ago
How to Play Unique Games Using Embeddings
In this paper we present a new approximation algorithm for Unique Games. For a Unique Game with n vertices and k states (labels), if a (1 − ε) fraction of all constraints is sa...
Eden Chlamtac, Konstantin Makarychev, Yury Makaryc...
FOCS
2006
IEEE
15 years 11 months ago
Succinct Non-Interactive Zero-Knowledge Proofs with Preprocessing for LOGSNP
Let Λ : {0, 1}n ×{0, 1}m → {0, 1} be a Boolean formula of size d, or more generally, an arithmetic circuit of degree d, known to both Alice and Bob, and let y ∈ {0, 1}m be a...
Yael Tauman Kalai, Ran Raz
153
Voted
FOCS
2006
IEEE
15 years 11 months ago
Input-Indistinguishable Computation
We put forward a first definition of general secure computation that, without any trusted set-up, • handles an arbitrary number of concurrent executions; and • is implementa...
Silvio Micali, Rafael Pass, Alon Rosen
105
Voted
FOCS
2006
IEEE
15 years 11 months ago
Improved Dynamic Planar Point Location
Lars Arge, Gerth Stølting Brodal, Loukas Ge...