Functions with average smoothness: structure, algorithms, and learning

13 Jul 2020Yair AshlagiLee-Ad GottliebAryeh Kontorovich

We initiate a program of average-smoothness analysis for efficiently learning real-valued functions on metric spaces. Rather than using the (global) Lipschitz constant as the regularizer, we define a local slope at each point and gauge the function complexity as the average of these values... (read more)

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