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UMC
2000
13 years 11 months ago
Upper and Lower Bounds on Continuous-Time Computation
Abstract. We consider various extensions and modifications of Shannon's General Purpose Analog Computer, which is a model of computation by differential equations in continuou...
Manuel Lameiras Campagnolo, Cristopher Moore
STOC
2002
ACM
80views Algorithms» more  STOC 2002»
14 years 8 months ago
Resolution lower bounds for the weak pigeonhole principle
We prove that any Resolution proof for the weak pigeon hole principle, with n holes and any number of pigeons, is of length (2n ), (for some global constant > 0).
Ran Raz
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 5 months ago
Lower Bounds for Testing Triangle-freeness in Boolean Functions
Let f1, f2, f3 : Fn 2 {0, 1} be three Boolean functions. We say a triple (x, y, x + y) is a triangle in
Arnab Bhattacharyya, Ning Xie
SODA
2010
ACM
190views Algorithms» more  SODA 2010»
14 years 5 months ago
Lower Bounds for Sparse Recovery
We consider the following k-sparse recovery problem: design an m ? n matrix A, such that for any signal x, given Ax we can efficiently recover ^x satisfying
khanh do ba, piotr indyk, eric price
ALT
2010
Springer
13 years 9 months ago
A Lower Bound for Learning Distributions Generated by Probabilistic Automata
Known algorithms for learning PDFA can only be shown to run in time polynomial in the so-called distinguishability
Borja Balle, Jorge Castro, Ricard Gavaldà