English

Projection onto the capped simplex

Machine Learning 2015-03-04 v1

Abstract

We provide a simple and efficient algorithm for computing the Euclidean projection of a point onto the capped simplex---a simplex with an additional uniform bound on each coordinate---together with an elementary proof. Both the MATLAB and C++ implementations of the proposed algorithm can be downloaded at https://eng.ucmerced.edu/people/wwang5.

Keywords

Cite

@article{arxiv.1503.01002,
  title  = {Projection onto the capped simplex},
  author = {Weiran Wang and Canyi Lu},
  journal= {arXiv preprint arXiv:1503.01002},
  year   = {2015}
}
R2 v1 2026-06-22T08:43:17.421Z