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ICALP
2003
Springer
15 years 12 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
FOCS
1995
IEEE
15 years 10 months ago
Tracking the Best Disjunction
Abstract. Littlestone developed a simple deterministic on-line learning algorithm for learning k-literal disjunctions. This algorithm (called Winnow) keeps one weight for each of t...
Peter Auer, Manfred K. Warmuth
CORR
2010
Springer
152views Education» more  CORR 2010»
15 years 6 months ago
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
We present a faster exponential-time algorithm for integer optimization over quasi-convex polynomials. We study the minimization of a quasiconvex polynomial subject to s quasi-con...
Robert Hildebrand, Matthias Köppe
166
Voted
GD
2009
Springer
15 years 4 months ago
Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs
Abstract. The study of (minimally) rigid graphs is motivated by numerous applications, mostly in robotics and bioinformatics. A major open problem concerns the number of embeddings...
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios V...
CCA
2009
Springer
16 years 1 months ago
Weihrauch Degrees, Omniscience Principles and Weak Computability
Abstract. In this paper we study a reducibility that has been introduced by Klaus Weihrauch or, more precisely, a natural extension of this reducibility for multi-valued functions ...
Vasco Brattka, Guido Gherardi