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» Complexity bounds for zero-test algorithms
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STOC
2012
ACM
196views Algorithms» more  STOC 2012»
11 years 10 months ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
TIT
2010
107views Education» more  TIT 2010»
13 years 2 months ago
Rate distortion and denoising of individual data using Kolmogorov complexity
We examine the structure of families of distortion balls from the perspective of Kolmogorov complexity. Special attention is paid to the canonical rate-distortion function of a so...
Nikolai K. Vereshchagin, Paul M. B. Vitányi
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
LATIN
2010
Springer
14 years 2 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
CORR
2011
Springer
158views Education» more  CORR 2011»
13 years 2 months ago
SqFreeEVAL: An (almost) optimal real-root isolation algorithm
Let f be a univariate polynomial with real coefficients, f ∈ R[X]. Subdivision algorithms based on algebraic techniques (e.g., Sturm or Descartes methods) are widely used for is...
Michael Burr, Felix Krahmer