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» Circuits with arbitrary gates for random operators
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APPROX
2010
Springer
148views Algorithms» more  APPROX 2010»
13 years 6 months ago
Learning and Lower Bounds for AC0 with Threshold Gates
In 2002 Jackson et al. [JKS02] asked whether AC0 circuits augmented with a threshold gate at the output can be efficiently learned from uniform random examples. We answer this ques...
Parikshit Gopalan, Rocco A. Servedio
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
JACM
2002
122views more  JACM 2002»
13 years 4 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
DATE
2005
IEEE
127views Hardware» more  DATE 2005»
13 years 11 months ago
A Novel Low-overhead Delay Testing Technique for Arbitrary Two-Pattern Test Application
— With increasing process fluctuations in nano-scale technology, testing for delay faults is becoming essential in manufacturing test to complement stuck-at-fault testing. Desig...
Swarup Bhunia, Hamid Mahmoodi-Meimand, Arijit Rayc...
MST
2010
121views more  MST 2010»
13 years 3 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