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The Systems of Linear Algebraic Equations with Random Coefficients
1990The simplest properties of solutions of linear algebraic systems with random coefficients are studied in this chapter. In some cases, the explicit formulas for solutions of these systems and their mean values and variances are found.
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Accelerating Natural Gradient Descent for PINNs with Randomized Numerical Linear Algebra
Natural Gradient Descent (NGD) has emerged as a promising optimization algorithm for training neural network-based solvers for partial differential equations (PDEs), such as Physics-Informed Neural Networks (PINNs). However, its practical use is often limited by the high computational cost of solving linear systems involving the Gramian matrix.Bioli, Ivan +2 more
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Variational algorithms for linear algebra
Science Bulletin, 2021Xiaosi Xu, Jinzhao Sun, Suguru Endo
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Randomized numerical linear algebra for generalized linear models with big datasets
2017Treball fi de màster de: Master's Degree in Data Science.
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Mixed precision algorithms in numerical linear algebra
Acta Numerica, 2022Nicholas J Higham, Theo Mary
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Spacetime algebra as a powerful tool for electromagnetism
Physics Reports, 2015Justin Dressel +2 more
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