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Active Nearest-Neighbor Learning in Metric Spaces

Machine Learning 2018-11-01 v3 Statistics Theory Statistics Theory

Abstract

We propose a pool-based non-parametric active learning algorithm for general metric spaces, called MArgin Regularized Metric Active Nearest Neighbor (MARMANN), which outputs a nearest-neighbor classifier. We give prediction error guarantees that depend on the noisy-margin properties of the input sample, and are competitive with those obtained by previously proposed passive learners. We prove that the label complexity of MARMANN is significantly lower than that of any passive learner with similar error guarantees. MARMANN is based on a generalized sample compression scheme, and a new label-efficient active model-selection procedure.

Keywords

Cite

@article{arxiv.1605.06792,
  title  = {Active Nearest-Neighbor Learning in Metric Spaces},
  author = {Aryeh Kontorovich and Sivan Sabato and Ruth Urner},
  journal= {arXiv preprint arXiv:1605.06792},
  year   = {2018}
}
R2 v1 2026-06-22T14:06:41.584Z