Results 211 to 220 of about 56,378 (257)
Some of the next articles are maybe not open access.
Orthogonal Projection Analysis
Lecture Notes in Computer Science, 2012In this paper, we propose a novel linear dimensionality reduction algorithm, called Orthogonal Projection Analysis (OPA), from a gradient field perspective. Our approach is based on the following two criteria. First, the linear map should preserve the metric of the ambient space, which is based on the assumption that the metric of the ambient space is ...
Xiaofei He, Lin Binbin
exaly +2 more sources
Pretreatments by Orthogonal Projections
2021Orthogonal projections belong to the few calculation tools onto which rely the most popular chemometric methods. They can be found in several calibration and classification methods. However, the term orthogonal projection is more commonly associated to the field of pretreatments (or preprocessings).
Roger, Jean-Michel, Boulet, Jean-Claude
openaire +1 more source
Certain Properties of Orthogonal Projections
Bulletin of the Iranian Mathematical Society, 2020Let \(P\), \(Q\) be projections on a Hilbert space. The pair \((P,Q)\) is Fredholm if the operator \(PQ|_{R(Q)}:R(Q)\to R(P)\) is Fredholm (here \(R(P)\) denotes the range of \(P\)). For a fixed projection \(P\), the authors discuss properties of the set of projections \(Q\) such that (a) \(P-Q\) is compact, (b) \((P,Q)\) is Fredholm, and some similar ...
Shuaijie Wang, Chunyuan Deng
openaire +2 more sources
Learning orthogonal projections for Isomap
Neurocomputing, 2013We propose a dimensionality reduction technique in this paper, named Orthogonal Isometric Projection (OIP). In contrast with Isomap, which learns the low-dimension embedding, and solves problem under the classic Multidimensional Scaling (MDS) framework, we consider an explicit linear projection by capturing the geodesic distance, which is able to ...
Yali Zheng +4 more
openaire +1 more source
Orthogonal projections and the assignment problem
Proceedings of International Conference on Neural Networks (ICNN'96), 2002The neural network approach to optimization problems, such as the assignment problem (AP) and the travelling salesman problem (TSP), has introduced new representations. The paper presents the theoretical explanation of the feasible space, and the simplification of the dynamics of the neural approach to the AP brings together several results and ...
William J. Wolfe, Richard M. Ulmer
openaire +1 more source
Smooth Orthogonal Projections on Sphere
Constructive Approximation, 2014Smooth projections on the real line were studied systematically by \textit{P. Auscher} et al. [in: Wavelets: A tutorial in theory and applications. Boston, MA etc.: Academic Press. 237--256 (1992; Zbl 0767.42009)] in their study of local sine and cosine bases of \textit{R. R. Coifman} and \textit{Y. Meyer} [C. R. Acad. Sci., Paris, Sér. I 312, No.
Bownik, Marcin, Dziedziul, Karol
openaire +2 more sources
On perturbation bounds for orthogonal projections
Numerical Algorithms, 2016The 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
openaire +1 more source
Orthogonal Projection in Linear Bandits
2019 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2019The 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
openaire +2 more sources
The Mathematical Gazette, 1897
The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to be able to accurately draw any figure with which they may ...
openaire +1 more source
The object of the papers is to consider two modes of representing points and lines on a spherical surface by points and lines on a plane: one method being by orthogonal projection, and the other by stereographic projection. The authors consider that students of spherical trigonometry ought to be able to accurately draw any figure with which they may ...
openaire +1 more source