Geometric Algorithms for k-NN Poisoning

Authors

  • Diego Ihara Centurion University of Illinois at Chicago
  • Karine Chubarian University of Illinois at Chicago
  • Bohan Fan University of Illinois at Chicago
  • Francesco Sgherzi University of Illinois at Chicago
  • Thiruvenkadam Sivaprakasam Radhakrishnan University of Illinois at Chicago
  • Anastasios Sidiropoulos University of Illinois at Chicago
  • Angelo Straight University of Illinois at Chicago

DOI:

https://doi.org/10.57717/cgt.v4i2.55

Abstract

We propose a label poisoning attack on geometric data sets against k-nearest neighbor classification. We provide an algorithm that can compute an εn-additive approximation of the optimal poisoning in n 22^{O(d+k/\ε)} time for a given data set X in R⁠d, where |X| = n. Our algorithm achieves its objectives through the application of multi-scale random partitions.

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Published

2025-05-15

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Section

Original Research Articles

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How to Cite

Geometric Algorithms for k-NN Poisoning (D. Ihara Centurion, K. Chubarian, B. Fan, F. Sgherzi, T. Sivaprakasam Radhakrishnan, A. Sidiropoulos, & A. Straight, Trans.). (2025). Computing in Geometry and Topology, 4(2), 4:1-4:12. https://doi.org/10.57717/cgt.v4i2.55