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Rational orthogonal approximations to orthogonal matrices
Computational Geometry, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Victor Milenkovic, Veljko Milenkovic
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An exact penalty approach for optimization with nonnegative orthogonality constraints [PDF]
Mathematical programming, 2019 Optimization with nonnegative orthogonality constraints has wide applications in machine learning and data sciences. It is NP-hard due to some combinatorial properties of the constraints.
B. Jiang +3 more
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Orthogonality and Dimensionality [PDF]
Axioms, 2013 In this article, we present what we believe to be a simple way to motivate the use of Hilbert spaces in quantum mechanics. To achieve this, we study the way the notion of dimension can, at a very primitive level, be defined as the cardinality of a maximal collection of mutually orthogonal elements (which, for instance, can be seen as spatial directions)
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Accelerated Optimization with Orthogonality Constraints [PDF]
Journal of Computational Mathematics, 2019 We develop a generalization of Nesterov's accelerated gradient descent method which is designed to deal with orthogonality constraints. To demonstrate the effectiveness of our method, we perform numerical experiments which demonstrate that the number of ...
Jonathan W. Siegel
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Orthogonality Catastrophe in Dissipative Quantum Many-Body Systems. [PDF]
Physical Review Letters, 2018 We present an analog of the phenomenon of orthogonality catastrophe in quantum many-body systems subject to a local dissipative impurity. We show that the fidelity F(t), giving a measure for distance of the time-evolved state from the initial one ...
F. Tonielli +5 more
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Structured Quasi-Newton Methods for Optimization with Orthogonality Constraints [PDF]
SIAM Journal on Scientific Computing, 2018 In this paper, we study structured quasi-Newton methods for optimization problems with orthogonality constraints. Note that the Riemannian Hessian of the objective function requires both the Euclidean Hessian and the Euclidean gradient. In particular, we
Jiang Hu +4 more
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Optimal SF Allocation in LoRaWAN Considering Physical Capture and Imperfect Orthogonality
Global Communications Conference, 2019 We propose a theoretical framework for maximizing the LoRaWAN capacity in terms of the number of end nodes, when they all have the same traffic generation process.
C. Caillouet, M. Heusse, F. Rousseau
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Orthogonality for Quantum Latin Isometry Squares [PDF]
QPL, 2018 Goyeneche et al recently proposed a notion of orthogonality for quantum Latin squares, and showed that orthogonal quantum Latin squares yield quantum codes.
Benjamin Musto, J. Vicary
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Reversed HILIC Gradient: A Powerful Strategy for On-Line Comprehensive 2D-LC
Molecules, 2023 The aim of the present work is to evaluate the possibilities and limitations of reversed hydrophilic interaction chromatography (revHILIC) mode in liquid chromatography (LC). This chromatographic mode consists of combining a highly polar stationary phase
Soraya Chapel +3 more
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Química Nova, 2016 Since their original discovery in 1914, ionic liquids (IL) have been widely examined and explored in chemistry due to their unique physical and chemical properties.
Leandro W. Hantao +2 more
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