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» Lower Bounds in Distributed Computing
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STACS
2009
Springer
15 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
FOCS
2002
IEEE
15 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...
ICONIP
2004
14 years 11 months ago
An Auxiliary Variational Method
Variational methods have proved popular and effective for inference and learning in intractable graphical models. An attractive feature of the approaches based on the Kullback-Lei...
Felix V. Agakov, David Barber