All reports by Author morris yau:

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TR16-187
| 21st November 2016
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morris yau#### Almost Cubic Bound for Depth Three Circuits in VP

Revisions: 3

morris yau

In "An Almost Cubic Lower Bound for $\sum\prod\sum$ circuits in VP", [BLS16] present an infinite family of polynomials, $\{P_n\}_{n \in \mathbb{Z}^+}$, with $P_n$

on $N = \Theta(n polylog(n))$

variables with degree $N$ being in VP such that every

$\sum\prod\sum$ circuit computing $P_n$ is of size $\Omega\big(\frac{N^3}{2^{\sqrt{\log N}}}\big)$.

We ...
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