Lecture 2: Concentration of Measure

نویسنده

  • Akshay Krishnamurthy
چکیده

In the proof, we used both finite-ness of H and the realizability assumptions in a crucial way. But we already saw one problem where the theorem does not apply, namely learning linear separators, where |H| =∞. Of course it is more common than not that realizability is not satisfied, so we’d also like some sort of guarantee in the absence of realizability. In the next few lectures we will build up the tools to relax both the realizability and the finite-ness assumptions. This requires more powerful probabilistic tools, in the form of concentration inequalities, and also takes us into the field of empirical process theory.

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تاریخ انتشار 2017