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Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces.
- 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]
- Subjects :
- HILBERT space
HYPERBOLA
MACHINE learning
ORTHOGRAPHIC projection
CONIC sections
Subjects
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