Projections onto hyperbolas or bilinear constraint sets in Hilbert spaces

被引：1

作者：

Bauschke, Heinz H. ^{[1
]}

Lal, Manish Krishan ^{[1
]}

Wang, Xianfu ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, Kelowna, BC V1V 1V7, Canada

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 86卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Bilinear constraint set; Hyperbola; Orthogonal projection; Nonconvex minimization; Prox-regularity;

D O I：

10.1007/s10898-022-01247-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：25 / 36

页数：12

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