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math.OC2022★ 2 cited
Non-Convex Bilevel Games with Critical Point Selection Maps
Michael Arbel, Julien Mairal
Bilevel optimization problems involve two nested objectives, where an upper-level objective depends on a solution to a lower-level problem. When the latter is non-convex, multiple…
math.OC2021★ 2 cited
Amortized Implicit Differentiation for Stochastic Bilevel Optimization
Michael Arbel, Julien Mairal
We study a class of algorithms for solving bilevel optimization problems in both stochastic and deterministic settings when the inner-level objective is strongly convex. Specifical…