July 25, 2022, 1:11 a.m. | Ruixing Cao, Akifumi Okuno, Kei Nakagawa, Hidetoshi Shimodaira

cs.LG updates on arXiv.org arxiv.org

For supervised classification problems, this paper considers estimating the
query's label probability through local regression using observed covariates.
Well-known nonparametric kernel smoother and $k$-nearest neighbor ($k$-NN)
estimator, which take label average over a ball around the query, are
consistent but asymptotically biased particularly for a large radius of the
ball. To eradicate such bias, local polynomial regression (LPoR) and multiscale
$k$-NN (MS-$k$-NN) learn the bias term by local regression around the query and
extrapolate it to the query itself. However, …

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