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» Bounded Depth Arithmetic Circuits: Counting and Closure
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ICALP
1999
Springer
13 years 10 months ago
Bounded Depth Arithmetic Circuits: Counting and Closure
Eric Allender, Andris Ambainis, David A. Mix Barri...
FOCS
2008
IEEE
14 years 2 days ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 5 days ago
Reconstruction of Generalized Depth-3 Arithmetic Circuits with Bounded Top Fan-in
In this paper we give reconstruction algorithms for depth-3 arithmetic circuits with k multiplication gates (also known as ΣΠΣ(k) circuits), where k = O(1). Namely, we give an ...
Zohar Shay Karnin, Amir Shpilka
CORR
2002
Springer
101views Education» more  CORR 2002»
13 years 5 months ago
Quantum Circuits with Unbounded Fan-out
We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denot...
Peter Høyer, Robert Spalek
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 7 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