Geometric Algorithms for k-NN Poisoning

06/21/2023
by   Diego Ihara Centurion, et al.
0

We propose a label poisoning attack on geometric data sets against k-nearest neighbor classification. We provide an algorithm that can compute an ε n-additive approximation of the optimal poisoning in n· 2^2^O(d+k/ε) time for a given data set X ∈ℝ^d, where |X| = n. Our algorithm achieves its objectives through the application of multi-scale random partitions.

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