Every class with Gaussian surface area at most Gamma admits degree O-tilde(Gamma squared over epsilon squared) non-negative L1-approximating polynomials for its indicators under the standard Gaussian.
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A Note on Non-Negative $L_1$-Approximating Polynomials
Every class with Gaussian surface area at most Gamma admits degree O-tilde(Gamma squared over epsilon squared) non-negative L1-approximating polynomials for its indicators under the standard Gaussian.