REPORTS > KEYWORD > AVERAGE CASE:
Reports tagged with average case:
TR12-033 | 5th April 2012
Ankit Gupta, Neeraj Kayal, Youming Qiao

#### Random Arithmetic Formulas can be Reconstructed Efficiently

Informally stated, we present here a randomized algorithm that given blackbox access to the polynomial $f$ computed by an unknown/hidden arithmetic formula $\phi$ reconstructs, on the average, an equivalent or smaller formula $\hat{\phi}$ in time polynomial in the size of its output $\hat{\phi}$.

Specifically, we consider arithmetic formulas wherein the ... more >>>

TR16-158 | 9th October 2016
We study the following computational problem: for which values of $k$, the majority of $n$ bits $\text{MAJ}_n$ can be computed with a depth two formula whose each gate computes a majority function of at most $k$ bits? The corresponding computational model is denoted by $\text{MAJ}_k \circ \text{MAJ}_k$. We observe that ... more >>>