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On perturbation bounds for orthogonal projections

Numerical Algorithms, 2016
The authors investigate perturbation bounds of orthogonal projections onto the range of \(A\) and \(A^T\) of a given rectangular complex matrix \(A\). These combined perturbation bounds improve similar results previously obtained by other authors.
Yanmei Chen, Xiao Shan Chen, Wen Li 0006
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Orthogonal Projection in Linear Bandits

2019 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2019
The expected reward in a linear stochastic bandit model is an unknown linear function of the chosen decision vector. In this paper, we consider the case where the expected reward is an unknown linear function of a projection of the decision vector onto a subspace. We call this the projection reward. Unlike the classical linear bandit problem, we assume
Qiyu Kang, Wee Peng Tay
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Hyperspectral Image Classification With Imbalanced Data Based on Orthogonal Complement Subspace Projection

IEEE Transactions on Geoscience and Remote Sensing, 2018
Conventional classification algorithms have shown great success for balanced classes. In remote sensing applications, it is often the case that classes are imbalanced.
Jiaojiao Li, Q. Du, Yunsong Li, Wei Li
semanticscholar   +1 more source

The Method of Orthogonal Projections

1977
In this chapter, we present one more method suitable for the solution of homogeneous differential equations with nonhomogeneous boundary conditions and we mention briefly its modification for the solution of nonhomogeneous differential equations with homogeneous boundary conditions. Also, we mention the possibility of its application to obtain an error-
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Orthogonal Projections and Bases

2012
In this section we discuss the very practical problem of fitting a line, a plane, or a curve to a set of given points when this can only be done approximately. For example, we may expect some observed data to be the coordinates of points on a straight line, but they turn out to be only approximately so. Then our problem is to find a line that fits them
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