COCO
2009
Springer
14 years 2 months ago
2009
Springer
We prove that poly-sized AC0 circuits cannot distinguish a poly-logarithmically independent distribution from the uniform one. This settles the 1990 conjecture by Linial and Nisan...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
COCO
2009
Springer
14 years 2 months ago
2009
Springer
—We study the one-way number-on-the-forhead (NOF) communication complexity of the k-layer pointer jumping problem. Strong lower bounds for this problem would have important impli...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
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 ...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
Starting with Kilian (STOC ‘92), several works have shown how to use probabilistically checkable proofs (PCPs) and cryptographic primitives such as collision-resistant hashing to...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
COCO
2009
Springer
14 years 2 months ago
2009
Springer
—Consider the following Simultaneous Message Passing (SMP) model for computing a relation f ⊆ X ×Y ×Z. In this model Alice, on input x ∈ X and Bob, on input y ∈ Y, send o...