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Universal Differential Equations for Scientific Machine Learning, , , , , , , , and . (2020)cite arxiv:2001.04385Comment: 3 figures, 2 tables, 3 supplemental figures, 27 pages, 18 supplemental pages.Backpropagation through Back Substitution with a Backslash., , and . SIAM J. Matrix Anal. Appl., 45 (1): 429-449 (March 2024)A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm., , and . SIAM J. Matrix Anal. Appl., 20 (3): 667-699 (1999)BACKpropagation through BACK substitution with a BACKslash., , and . CoRR, (2023)Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples., and . IEEE Trans. Signal Process., 56 (7-1): 2625-2638 (2008)MOPS: Multivariate orthogonal polynomials (symbolically)., , and . J. Symb. Comput., 42 (6): 587-620 (2007)Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs)., , and . CoRR, (2022)A more open efficient future for AI development and data science with an introduction to Julia.. IEEE BigData, page 2. IEEE Computer Society, (2017)Modeling and rendering of weathered stone., , , , and . SIGGRAPH Courses, page 4. ACM, (2005)NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia., , , , , , , , and . CoRR, (2024)