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» Elusive Functions and Lower Bounds for Arithmetic Circuits
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142
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COCO
1997
Springer
144views Algorithms» more  COCO 1997»
15 years 5 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
82
Voted
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
15 years 2 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff
106
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FOCS
2007
IEEE
15 years 7 months ago
A Lower Bound for the Size of Syntactically Multilinear Arithmetic Circuits
We construct an explicit polynomial f(x1, . . . , xn), with coefficients in {0, 1}, such that the size of any syntactically multilinear arithmetic circuit computing f is at least ...
Ran Raz, Amir Shpilka, Amir Yehudayoff
88
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TCS
1998
15 years 13 days ago
Non-Commutative Arithmetic Circuits: Depth Reduction and Size Lower Bounds
Eric Allender, Jia Jiao, Meena Mahajan, V. Vinay