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REPORTS > AUTHORS > TIBERIU MOSNOI:
All reports by Author Tiberiu Mosnoi:

TR23-106 | 17th July 2023
Mika Göös, Ziyi Guan, Tiberiu Mosnoi

Depth-3 Circuits for Inner Product

What is the $\Sigma_3^2$-circuit complexity (depth 3, bottom-fanin 2) of the $2n$-bit inner product function? The complexity is known to be exponential $2^{\alpha_n n}$ for some $\alpha_n=\Omega(1)$. We show that the limiting constant $\alpha=\limsup \alpha_n$ satisfies
\[
0.847... ~\leq~ \alpha ~\leq~ 0.965...\ .
\]
Determining $\alpha$ is one of the ... more >>>




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