Theorie und Numerik restringierter Optimierungsaufgaben

By C. Geiger, C. Kanzow. 2002

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Randomized Prediction Games for Adversarial Machine Learning (2016, background): “In general, si does not follow a Gaussian distribution, since the product of two normal deviates is not normally distributed.”
First-and second-order optimality conditions for mathematical programs with vanishing constraints (2007, methodology): “Its technique of proof goes back to similar considerations in the context of standard nonlinear programs, see [4], for example.”
Abadie-Type Constraint Qualification for Mathematical Programs with Equilibrium Constraints (2005, methodology): “, [5]) that if z∗ is a local minimizer of the MPEC (1), then it is B-stationary, i.”
On the implementation of rate-independent standard dissipative solids at finite strain – Variational constitutive updates (2010, unknown): “[47].”
Static prediction games for adversarial learning problems (2012, methodology): “A sufficient condition for this pseudo-gradient being strictly monotone is the positive definiteness of the pseudo-Jacobian Jr (see, e.g., Theorem 7.11 and Theorem 6, respectively, in Geiger and Kanzow, 1999; Rosen, 1965).”