COCO
2009
Springer
13 years 11 months ago
2009
Springer
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
COCO
2009
Springer
13 years 11 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
13 years 11 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
13 years 11 months ago
2009
Springer
COCO
2009
Springer
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 months ago
2009
Springer
