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» A Categorical Setting for Lower Complexity
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ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
15 years 4 months ago
Of Choices, Failures and Asynchrony: The Many Faces of Set Agreement
Abstract. Set agreement is a fundamental problem in distributed computing in which processes collectively choose a small subset of values from a larger set of proposals. The imposs...
Dan Alistarh, Seth Gilbert, Rachid Guerraoui, Core...
COLT
2007
Springer
15 years 3 months ago
A Lower Bound for Agnostically Learning Disjunctions
We prove that the concept class of disjunctions cannot be pointwise approximated by linear combinations of any small set of arbitrary real-valued functions. That is, suppose there ...
Adam R. Klivans, Alexander A. Sherstov
CC
2010
Springer
120views System Software» more  CC 2010»
14 years 7 months ago
Lower Bounds for Agnostic Learning via Approximate Rank
We prove that the concept class of disjunctions cannot be pointwise approximated by linear combinations of any small set of arbitrary real-valued functions. That is, suppose that t...
Adam R. Klivans, Alexander A. Sherstov
STACS
1999
Springer
15 years 1 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
COCO
2009
Springer
131views Algorithms» more  COCO 2009»
15 years 4 months ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti