sdwd-package: Sparse Distance Weighted Discrimination

Description Details Author(s) References

Description

This package implements the generalized coordinate descent (GCD) algorithm to efficiently compute the solution path of the sparse distance weighted discrimination (DWD) at a given fine grid of regularization parameters. Sparse distance weighted discrimination is a high-dimensional margin-based classifier.

Details

Package: sdwd
Type: Package
Version: 1.0.3
Date: 2020-02-16
License: GPL-2

Suppose x is the predictors and y is the binary response. With a fixed value lambda2, the package produces the solution path of the sparse DWD over a grid of lambda values. The value of lambda2 can be further tuned by cross-validation.

The package sdwd contains five main functions:
sdwd
cv.sdwd
coef.sdwd
plot.sdwd
plot.cv.sdwd

Author(s)

Boxiang Wang and Hui Zou
Maintainer: Boxiang Wang boxiang-wang@uiowa.edu

References

Wang, B. and Zou, H. (2016) “Sparse Distance Weighted Discrimination", Journal of Computational and Graphical Statistics, 25(3), 826–838.
https://www.tandfonline.com/doi/full/10.1080/10618600.2015.1049700

Friedman, J., Hastie, T., and Tibshirani, R. (2010), "Regularization paths for generalized linear models via coordinate descent," Journal of Statistical Software, 33(1), 1–22.
https://www.jstatsoft.org/v33/i01/paper

Marron, J.S., Todd, M.J., Ahn, J. (2007) “Distance-Weighted Discrimination"", Journal of the American Statistical Association, 102(408), 1267–1271.
https://www.tandfonline.com/doi/abs/10.1198/016214507000001120

Tibshirani, Robert., Bien, J., Friedman, J.,Hastie, T.,Simon, N.,Taylor, J., and Tibshirani, Ryan. (2012) Strong Rules for Discarding Predictors in Lasso-type Problems, Journal of the Royal Statistical Society, Series B, 74(2), 245–266.
https://rss.onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-9868.2011.01004.x

Yang, Y. and Zou, H. (2013) “An Efficient Algorithm for Computing the HHSVM and Its Generalizations", Journal of Computational and Graphical Statistics, 22(2), 396–415.
https://www.tandfonline.com/doi/full/10.1080/10618600.2012.680324


sdwd documentation built on Oct. 27, 2020, 5:06 p.m.