Does data interpolation contradict statistical optimality?

Mikhail Belkin, Alexander Rakhlin, Alexandre B. Tsybakov
Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics, PMLR 89:1611-1619, 2019.

Abstract

We show that classical learning methods interpolating the training data can achieve optimal rates for the problems of nonparametric regression and prediction with square loss.

Cite this Paper

BibTeX
@InProceedings{pmlr-v89-belkin19a, title = {Does data interpolation contradict statistical optimality?}, author = {Belkin, Mikhail and Rakhlin, Alexander and Tsybakov, Alexandre B.}, booktitle = {Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics}, pages = {1611--1619}, year = {2019}, editor = {Chaudhuri, Kamalika and Sugiyama, Masashi}, volume = {89}, series = {Proceedings of Machine Learning Research}, month = {16--18 Apr}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v89/belkin19a/belkin19a.pdf}, url = {https://proceedings.mlr.press/v89/belkin19a.html}, abstract = {We show that classical learning methods interpolating the training data can achieve optimal rates for the problems of nonparametric regression and prediction with square loss.} }
Endnote
%0 Conference Paper %T Does data interpolation contradict statistical optimality? %A Mikhail Belkin %A Alexander Rakhlin %A Alexandre B. Tsybakov %B Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D 2019 %E Kamalika Chaudhuri %E Masashi Sugiyama %F pmlr-v89-belkin19a %I PMLR %P 1611--1619 %U https://proceedings.mlr.press/v89/belkin19a.html %V 89 %X We show that classical learning methods interpolating the training data can achieve optimal rates for the problems of nonparametric regression and prediction with square loss.
APA
Belkin, M., Rakhlin, A. & Tsybakov, A.B.. (2019). Does data interpolation contradict statistical optimality?. Proceedings of the Twenty-Second International Conference on Artificial Intelligence and Statistics, in Proceedings of Machine Learning Research 89:1611-1619 Available from https://proceedings.mlr.press/v89/belkin19a.html.

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