Speculate-Correct Error Bounds for k-Nearest Neighbor Classifiers

9 Oct 2014  ·  Eric Bax, Lingjie Weng, Xu Tian ·

We introduce the speculate-correct method to derive error bounds for local classifiers. Using it, we show that k nearest neighbor classifiers, in spite of their famously fractured decision boundaries, have exponential error bounds with O(sqrt((k + ln n) / n)) error bound range for n in-sample examples.

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