—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...
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...
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
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...
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...