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تسجيل مستخدم جديدThe Complexity of Adversarially Robust Proper Learning of Halfspaces with Agnostic Noise
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We study the computational complexity of adversarially robust proper learning of halfspaces in the distribution-independent agnostic PAC model, with a focus on $L_p$ perturbations. We give a computationally efficient learning algorithm and a nearly matching computational hardness result for this problem. An interesting implication of our findings is that the $L_{infty}$ perturbations case is provably computationally harder than the case $2 leq p < infty$.
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