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» The Power of Depth 2 Circuits over Algebras
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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
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
STOC
2006
ACM
159views Algorithms» more  STOC 2006»
14 years 8 months ago
Learning a circuit by injecting values
d Abstract] Dana Angluin James Aspnes Jiang Chen Yinghua Wu We propose a new model for exact learning of acyclic circuits using experiments in which chosen values may be assigned ...
Dana Angluin, James Aspnes, Jiang Chen, Yinghua Wu
FOCS
2007
IEEE
13 years 11 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
DAC
2003
ACM
14 years 8 months ago
Power grid reduction based on algebraic multigrid principles
With the scaling of technology, power grid noise is becoming increasingly significant for circuit performance. A typical power grid circuit contains millions of linear elements, m...
Haihua Su, Emrah Acar, Sani R. Nassif