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arXiv · 2007.03984

Asymptotics of the number of 2-threshold functions

Elena Zamaraeva·Jovisa Zunic
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Abstract

A $k$-threshold function on a rectangular grid of size $m \times n$ is the conjunction of $k$ threshold functions on the same domain. In this paper, we focus on the case $k=2$ and show that the number of two-dimensional 2-threshold functions is~$\dfrac{25}{12π^4} m^4 n^4 + o(m^4n^4)$.

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Elena Zamaraeva, Jovisa Zunic. 2021-02-02. Asymptotics of the number of 2-threshold functions. https://arxiv.org/abs/2007.03984

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