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FOCS
2007
IEEE
13 years 8 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
IPL
2007
111views more  IPL 2007»
13 years 4 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 7 months ago
The Complexity of Local List Decoding
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
Dan Gutfreund, Guy N. Rothblum
ECCC
2010
124views more  ECCC 2010»
13 years 5 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
CSR
2010
Springer
13 years 9 months ago
Balancing Bounded Treewidth Circuits
Algorithmic tools for graphs of small treewidth are used to address questions in complexity theory. For both arithmetic and Boolean circuits, it is shown that any circuit of size ...
Maurice Jansen, Jayalal M. N. Sarma