Achieving the time of 1-NN, but the accuracy of k-NN
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Abstract (arXiv)
We propose a simple approach which, given distributed computing resources, can nearly achieve the accuracy of k-NN prediction, while matching (or improving) the faster prediction time of 1-NN. The approach consists of aggregating denoised 1-NN predictors over a small number of distributed subsamples. We show, both theoretically and experimentally, that small subsample sizes suffice to attain similar performance as k-NN, without sacrificing the computational efficiency of 1-NN.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Dec 2017.
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Citing papers per year: 2021: 1; 2022: 3; 2023: 3; 2024: 0; 2025: 1; 2026: 2.
10 papers.
- 2021Under-bagging Nearest Neighbors for Imbalanced Classificationcited by 3
- 2025Concentration and excess risk bounds for imbalanced classification with synthetic oversamplingcited by 3
- 2022Benefit of Interpolation in Nearest Neighbor Algorithmscited by 1
- 2022On Error and Compression Rates for Prototype Rulescited by 1
- 2023Fast and Multiphase Rates for Nearest Neighbor Classifierscited by 1
- 2023On Rate-Optimal Partitioning Classification from Observable and from Privatised Datacited by 1
- 2022Enhanced Nearest Neighbor Classification for Crowdsourcingcited by 0
- 2023Weighted Distance Nearest Neighbor Condensingcited by 0
- 2026On public and private binary classification with metric space valued predictorscited by 0
- 2026Near-Exponential Convergence Rates for kNN Classification based on Boltzmann Margincited by 0
- 2026Near-Exponential Convergence Rates for kNN Classification based on Boltzmann Margin9 Jun 2026
- 2026On public and private binary classification with metric space valued predictors29 May 2026
- 2025Concentration and excess risk bounds for imbalanced classification with synthetic oversampling23 Oct 2025
- 2023On Rate-Optimal Partitioning Classification from Observable and from Privatised Data22 Dec 2023
- 2023Weighted Distance Nearest Neighbor Condensing24 Oct 2023
- 2023Fast and Multiphase Rates for Nearest Neighbor Classifiers16 Aug 2023
- 2022On Error and Compression Rates for Prototype Rules16 Jun 2022
- 2022Enhanced Nearest Neighbor Classification for Crowdsourcing26 Feb 2022
- 2022Benefit of Interpolation in Nearest Neighbor Algorithms23 Feb 2022
- 2021Under-bagging Nearest Neighbors for Imbalanced Classification1 Sep 2021