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Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces.

Authors :
Bauschke, Heinz H.
Lal, Manish Krishan
Wang, Xianfu
Source :
Journal of Global Optimization; May2023, Vol. 86 Issue 1, p25-36, 12p
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09255001
Volume :
86
Issue :
1
Database :
Complementary Index
Journal :
Journal of Global Optimization
Publication Type :
Academic Journal
Accession number :
163233602
Full Text :
https://doi.org/10.1007/s10898-022-01247-8