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» Fixed-Polynomial Size Circuit Bounds
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DAC
2009
ACM
14 years 8 months ago
Computing bounds for fault tolerance using formal techniques
Continuously shrinking feature sizes result in an increasing susceptibility of circuits to transient faults, e.g. due to environmental radiation. Approaches to implement fault tol...
André Sülflow, Görschwin Fey, Rol...
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 5 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
MST
2010
121views more  MST 2010»
13 years 6 months ago
Entropy of Operators or why Matrix Multiplication is Hard for Depth-Two Circuits
We consider unbounded fanin depth-2 circuits with arbitrary boolean functions as gates. We define the entropy of an operator f : {0, 1}n → {0, 1}m as the logarithm of the maximu...
Stasys Jukna
COLT
2007
Springer
14 years 1 months ago
Learning Large-Alphabet and Analog Circuits with Value Injection Queries
Abstract. We consider the problem of learning an acyclic discrete circuit with n wires, fan-in bounded by k and alphabet size s using value injection queries. For the class of tran...
Dana Angluin, James Aspnes, Jiang Chen, Lev Reyzin
CSR
2009
Springer
14 years 2 months ago
Depth Reduction for Circuits with a Single Layer of Modular Counting Gates
We consider the class of constant depth AND/OR circuits augmented with a layer of modular counting gates at the bottom layer, i.e AC0 ◦MODm circuits. We show that the following ...
Kristoffer Arnsfelt Hansen