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Statistical Learning: Stability is Sufficient for Generalization and Necessary and Sufficient for Consistency of Empirical Risk MinimizationMukherjee, Sayan, Niyogi, Partha, Poggio, Tomaso, Rifkin, Ryan 01 December 2002 (has links)
Solutions of learning problems by Empirical Risk Minimization (ERM) need to be consistent, so that they may be predictive. They also need to be well-posed, so that they can be used robustly. We show that a statistical form of well-posedness, defined in terms of the key property of L-stability, is necessary and sufficient for consistency of ERM. / revised July 2003
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