Bilevel Programming Problems: Theory, Algorithms and Applications to Energy Networks

By Stephan Dempe, V. Kalashnikov, Gerardo A. Prez-Valds, N. Kalashnykova. 2015

324 citations recorded by the source corpus.

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Techniques for Gradient-Based Bilevel Optimization with Non-smooth Lower Level Problems (2016, background): “As a consequence of an extra variable, the problems are not fully equivalent anymore (see [13]).”
On the solution of convex bilevel optimization problems (2015, unknown): “…and Still [14], Weber [15]), mathematical programs with equilibrium (complementarity) constraints (Out-rata et al. [16]), nonsmooth (Dempe et al. [3]), set-valued (Dempe and Pilecka [17]) and (mixed-)integer optimization (Audet et al. [18]); ideas of semideﬁnite optimization can be used to solve…”
A Review on Bilevel Optimization: From Classical to Evolutionary Approaches and Applications (2017, background): “At this point, we would like to refer the readers to other review papers [50], [58], [166], [91], [151] and books [18], [141], [61], [161], [62] on bilevel optimization.”
Defense Against Adversarial Attacks Using Feature Scattering-based Adversarial Training (2019, unknown): “More speciﬁcally, it can be regarded as an instance of the more general bilevel optimization problem [13, 3].”