A trust-region adaptive finite-element method for nonsmooth PDE-constrained optimization that refines meshes using a posteriori error estimators for state and adjoint equations.
In: Pardalos, P.M., Prokopyev, O.A
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PALM-Mean combines sign-aware piecewise-linear relaxations of locally important kernel terms with closed-form analytic bounds on the rest inside a reduced-space branch-and-bound framework, yielding valid lower bounds and ε-global convergence for GP posterior mean optimization.
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An online adaptive finite-element method for nonsmooth PDE-constrained optimization
A trust-region adaptive finite-element method for nonsmooth PDE-constrained optimization that refines meshes using a posteriori error estimators for state and adjoint equations.
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An Efficient Spatial Branch-and-Bound Algorithm for Global Optimization of Gaussian Process Posterior Mean Functions
PALM-Mean combines sign-aware piecewise-linear relaxations of locally important kernel terms with closed-form analytic bounds on the rest inside a reduced-space branch-and-bound framework, yielding valid lower bounds and ε-global convergence for GP posterior mean optimization.