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Subsampled-Newton

Codes for subsampled Newton methods for solving ridge logistic regression.

About

Consider minimizing a sum of convex functions. Subsampled-Newton methods subsample the functions to calcuate the approximated Hessian. Using non-uniform sampling schemes, we can show the sampling size can be independent of number of functions. In typical ERM problems where n >> d, sub-sampled Newton methods can speed up a lot.

Usage

  • Matlab users: See subsampled_newton.m for main functions. And see demo_comparison.m for usage.

  • Python users: See files in the folder python.

Reference

Peng Xu, Jiyan Yang, Farbod Roosta-Khorasani, Christopher Ré, and Michael W. Mahoney, Sub-sampled Newton Methods with Non-uniform Sampling, NIPS 2016.

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