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» Some Lower Bounds on Geometric Separability Problems
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78
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CIE
2007
Springer
15 years 3 months ago
Circuit Complexity of Regular Languages
We survey our current knowledge of circuit complexity of regular languages and we prove that regular languages that are in AC0 and ACC0 are all computable by almost linear size ci...
Michal Koucký
TSP
2008
69views more  TSP 2008»
14 years 9 months ago
A Frame Construction and a Universal Distortion Bound for Sparse Representations
Abstract-- We consider approximations of signals by the elements of a frame in a complex vector space of dimension N and formulate both the noiseless and the noisy sparse represent...
Mehmet Akçakaya, Vahid Tarokh
47
Voted
MOC
2000
68views more  MOC 2000»
14 years 9 months ago
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Conservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equation admits mo...
Laurent Gosse, François James
ANOR
2011
117views more  ANOR 2011»
14 years 1 months ago
A simple and effective algorithm for the MaxMin diversity problem
The challenge of maximizing the diversity of a collection of points arises in a variety of settings, including the setting of search methods for hard optimization problems. One ver...
Daniel Cosmin Porumbel, Jin-Kao Hao, Fred Glover
ECCC
2010
95views more  ECCC 2010»
14 years 9 months ago
Bounded-depth circuits cannot sample good codes
We study a variant of the classical circuit-lower-bound problems: proving lower bounds for sampling distributions given random bits. We prove a lower bound of 1 - 1/n(1) on the st...
Shachar Lovett, Emanuele Viola