Formalizes line search methods, conditions, and Zoutendijk theorem in Lean 4 to support verified nonlinear optimization.
Minimization of functions having Lipschitz continuous first partial derivatives.Pa- cific Journal of Mathematics, 16:1–3, 1966
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A Fourier neural operator trained on Boussinesq-compressible simulation pairs corrects Boussinesq predictions for natural convection, achieving SSIM near unity and MSE reductions of one to three orders of magnitude.
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Formalization of Line Search Methods by Lean
Formalizes line search methods, conditions, and Zoutendijk theorem in Lean 4 to support verified nonlinear optimization.
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A Neural Surrogate Approach for Simulating Natural Convection Problems
A Fourier neural operator trained on Boussinesq-compressible simulation pairs corrects Boussinesq predictions for natural convection, achieving SSIM near unity and MSE reductions of one to three orders of magnitude.