Is your function low-dimensional?

arXiv: Computational Complexity, 2018.

Cited by: 0|Views21

Abstract:

study the problem of testing if a function depends on a small number of linear directions of its input data. call a function $f$ a linear $k$-junta if it is completely determined by some $k$-dimensional subspace of the input space. In this paper, we study the problem of testing whether a given $n$ variable function $f : mathbb{R}^n {0,...More

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