STOC
2003
ACM
14 years 4 months ago
2003
ACM
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
We consider a fundamental problem in computational learning theory: learning an arbitrary Boolean function which depends on an unknown set of k out of n Boolean variables. We give...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
This paper provides the first explicit construction of extractors which are simultaneously optimal up to constant factors in both seed length and output length. More precisely, fo...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
We resolve the following conjecture raised by Levin together with Linial, London, and Rabinovich [Combinatorica, 1995]. For a graph G, let dim(G) be the smallest d such that G occ...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
STOC
2003
ACM
14 years 4 months ago
2003
ACM
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
STOC
2003
ACM
14 years 4 months ago
2003
ACM
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
STOC
2003
ACM
14 years 4 months ago
2003
ACM
STOC
2003
ACM
14 years 4 months ago
2003
ACM
Boosting algorithms are procedures that "boost" low-accuracy weak learning algorithms to achieve arbitrarily high accuracy. Over the past decade boosting has been widely...