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- W2744913687 abstract "We prove a lower bound of $Omega(n^2/log^2 n)$ on the size of any syntactically multilinear arithmetic circuit computing some explicit multilinear polynomial $f(x_1, ldots, x_n)$. Our approach expands and improves upon a result of Raz, Shpilka and Yehudayoff [RSY08], who proved a lower bound of $Omega(n^{4/3}/log^2 n)$ for the same polynomial. Our improvement follows from an asymptotically optimal lower bound, in a certain range of parameters, for a generalized version of Galvin's problem in extremal set theory." @default.
- W2744913687 created "2017-08-17" @default.
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- W2744913687 date "2017-08-07" @default.
- W2744913687 modified "2023-09-27" @default.
- W2744913687 title "An Almost Quadratic Lower Bound for Syntactically Multilinear Arithmetic Circuits" @default.
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