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OptimalBest-ArmIdentificationMethodsfor Tail-RiskMeasures

Neural Information Processing Systems

The algorithm requires solving a non-convex optimization problem inthespace ofprobability measures, thatrequires delicate analysis.






Time/Accuracy Tradeoffs for Learning a ReLU with respect to Gaussian Marginals

Neural Information Processing Systems

Here we consider the more realistic scenario of empirical risk minimization or learning a ReLU with noise (often referred to as agnostically learning a ReLU). We assume that a learner has access to a training set from a joint distribution D on Rd R where the marginal distribution on Rd is Gaussian but the distribution on the labels can be arbitrary within [0,1].