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STACS
2009
Springer
14 years 4 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
TIT
2010
128views Education» more  TIT 2010»
13 years 4 months ago
General classes of performance lower bounds for parameter estimation: part II: Bayesian bounds
In this paper, a new class of Bayesian lower bounds is proposed. Derivation of the proposed class is performed via projection of each entry of the vector-function to be estimated ...
Koby Todros, Joseph Tabrikian
FOCS
2002
IEEE
14 years 2 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
FOCS
2002
IEEE
14 years 2 months ago
Bounded-Depth Frege Lower Bounds for Weaker Pigeonhole Principles
We prove a quasi-polynomial lower bound on the size of bounded-depth Frege proofs of the pigeonhole principle PHPm n where m ´1 · 1 polylog nµn. This lower bound qualitatively ...
Josh Buresh-Oppenheim, Paul Beame, Toniann Pitassi...