Tutorial: Higher-Order Bias Correction with Imaginary 0-Nearest Neighbour
##article.authors##
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Akifumi Okuno
Institute of Statistical Mathematics, Department of Fundamental Statistical Mathematics
https://researchmap.jp/aokuno
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Hidetoshi Shimodaira
Graduate School of Informatics, Kyoto University
https://researchmap.jp/read0102069
DOI:
https://doi.org/10.51094/jxiv.945Keywords:
Nearest Neighbour, Higher-Order Bias CorrectionAbstract
本稿は，NeurIPS2020に採択された近傍法の高次バイアス補正に関する我々の論文 Okuno and Shimodaira (2020) に関する解説です．解説の平易さを優先するため，厳密な記述については当該論文をご参照ください．
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References
Audibert, J.-Y. and Tsybakov, A. B. (2007). Fast learning rates for plug-in classifiers. Ann. Statist., 35(2):608–633.
Chaudhuri, K. and Dasgupta, S. (2014). Rates of convergence for nearest neighbor classification. In Advances in Neural Information Processing Systems, volume 27. Curran Associates, Inc.
Okuno, A. and Shimodaira, H. (2020). Extrapolation towards imaginary 0-nearest neighbour and its improved convergence rate. In Advances in Neural Information Processing Systems, volume 33, pages 21889–21899. Curran Associates, Inc.
Samworth, R. J. (2012). Optimal weighted nearest neighbour classifiers. The Annals of Statistics, 40(5):2733–2763
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Submitted: 2024-10-27 00:03:10 UTC
Published: 2024-10-30 00:32:48 UTC
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Copyright (c) 2024
Akifumi Okuno
Hidetoshi Shimodaira
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
