Fast NN Prediction with No Statistical Tradeoff
summary
Claims that K nearest-neighbor accuracy (with optimal K ~ sqrt(n)) is attainable in O(log n) prediction time by reducing the dataset via quantization or subsampling and applying a simple variance correction that replaces each stored label by a local average (a denoising precompute). Quantization matches accuracy but can cost up to N^2 to build; subsampling (many m-sized bags, empirically m ≈ 10% of n) with denoising gives near-KNN risk while yielding measured speedups of about 2–8×, all via a variance correction on stored labels.
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chapters (8)
- 0:00Intro
- 3:22Statistical Performance
- 6:18Prediction with No Tradeoff
- 8:15Outline
- 12:50Intuition
- 18:40Guarantees
- 23:45Subsampling
- 29:10Variance correction
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