Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces
Optimization and Control
2021-12-07 v1 Numerical Analysis
Functional Analysis
Numerical Analysis
Abstract
Sets of bilinear constraints are important in various machine learning models. Mathematically, they are hyperbolas in a product space. In this paper, we give a complete formula for projections onto sets of bilinear constraints or hyperbolas in a general Hilbert space.
Cite
@article{arxiv.2112.02181,
title = {Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces},
author = {Heinz H. Bauschke and Manish Krishan Lal and Xianfu Wang},
journal= {arXiv preprint arXiv:2112.02181},
year = {2021}
}
Comments
16 pages