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The Exact Online Threshold for the Asymmetric Binary Perceptron

Jo, Sunghyeon et al.
arXiv (All) · Papers
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data-structures-and-algorithms
Let $G\in\mathbb{R}^{M\times N}$ have independent standard Gaussian entries. For a fixed margin $κ\in\mathbb{R}$, the asymmetric binary perceptron asks for $σ\in\{\pm1\}^N$ such that $Gσ/\sqrt{N}\geκ\mathbf{1}_M$. We study the online version of this problem, in which the columns of $G$ arrive sequen
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