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An Exponential Efron-Stein Inequality for Lq Stable Learning Rules
In particular, the main question we address here is \emph{whether it is possible to derive exponential generalization bounds for the estimated risk using a notion of stability that is computationally tractable and distribution dependent, but weaker than uniform stability.
An a Priori Exponential Tail Bound for k-Folds Cross-Validation
Next, under some reasonable notion of stability, we use this exponential tail bound to analyze the concentration of the k-fold cross-validation (KFCV) estimate around the true risk of a hypothesis generated by a general learning rule.
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