Mert Gürbüzbalaban

Publications · Journal article · J. Optim. Theory Appl. 2022

A stochastic subgradient method for distributionally robust non-convex and non-smooth learning


Mert Gürbüzbalaban, Andrzej Ruszczyński, Landi Zhu

Journal of Optimization Theory and Applications, 194(3), pp. 1014–1041, 2022.

In brief

Formulates statistical learning robust to perturbations of the data distribution using mean–semideviation risk, and develops a stochastic subgradient method for generalized-differentiable losses that may be non-convex and non-smooth — the first with rigorous convergence guarantees in this setting — achieving any desired robustness level at little extra cost over population risk minimization.

Cite
@article{gurbuzbalaban2022subgradient,
  title   = {A stochastic subgradient method for distributionally robust non-convex and non-smooth learning},
  author  = {Mert Gürbüzbalaban and Andrzej Ruszczyński and Landi Zhu},
  year    = {2022},
  journal = {Journal of Optimization Theory and Applications},
  volume  = {194(3)},
  pages   = {1014--1041},
  doi     = {10.1007/s10957-022-02063-6},
}

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