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If a decision function has a small Lipschitz constant, small perturbations of the input will not cause drastic changes in the output; this corresponds to the smoothness of the decision surface and is one of the core concepts in adversarial robustness research.
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10/25/2026
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UnverifiedA common feature of non-Bayesian decision rules is that they have discontinuities in parameter space—a tiny change in the estimate may cross a decision boundary, causing the action to jump.78% similarUnverifiedThis method requires the likelihood function to be differentiable, so it cannot be directly applied to all problems, and the quality of the differentiable relaxation will affect the final results.71% similarUnverified作者在决策中加入少量随机化成分以避免行为过于可预测71% similarUnverifiedEven under exactly the same smoothness assumptions on the treatment effect function and the nuisance function, a rough covariate design leads to slower pointwise convergence rates for CATE estimation than a uniform design.70% similarUnverifiedThe core conclusion of this study is: the covariate distribution alone being insufficiently smooth is enough to slow down the convergence rate of pointwise CATE estimation, without the treatment effect function or the nuisance function needing to become rougher.70% similar
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