Sauer-Shelah growth bound

The elementary estimate

\sum_{j = 0}^{D} (j n) \leq (n + 1)^{D}

converts finite VC dimension into a polynomial bound on the number of sample labelings.

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Growth bound for homogeneous linear classifiers
Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 2 / 30J / b / Solution
Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 1 / 31J / d / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 2 / 31J / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 1 / 31K / b / ii / Solution

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