Smooth Sensitivity for k-Nearest Neighbor
Talkat Data Privacy: From Foundations to Applications (Simons Institute workshop, 2019) · 2019-03-04..03-08·
summary
Proposes using smooth sensitivity for k‑nearest‑neighbor imputation to avoid the astronomic global sensitivity that simple donor reuse causes, derives an upper bound (extends 1‑NN to k‑NN) and tweaks the beta scaling so epsilon‑DP noise is feasible, observes typical donor‑to‑donee ratios around four on ACS public microdata, builds a simulation from 1940 census to model realistic missingness, and finds results reduce bias at the cost of higher variance — a clear bias‑variance tradeoff for private imputation.
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chapters (8)
- 0:00Research context and goals
- 2:15Sensitivity in data allocation
- 7:13Addressing imputation bias
- 11:02Smooth sensitivity approach
- 14:32Theoretical framework
- 20:28Greedy algorithms and bounds
- 25:43Empirical evaluation plan
- 33:30Implementation and policy
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