Mert Gürbüzbalaban

Publications · Journal article · Oper. Res. 2022

Global convergence of stochastic gradient Hamiltonian Monte Carlo for nonconvex stochastic optimization: nonasymptotic performance bounds and momentum-based acceleration


Xuefeng Gao, Mert Gürbüzbalaban, Lingjiong Zhu

Operations Research, 70(5), pp. 2931–2947, 2022.

In brief

Provides non-asymptotic global convergence guarantees for stochastic gradient Hamiltonian Monte Carlo on non-convex problems, quantifying when and how momentum accelerates Langevin-based optimization.

Cite
@article{gao2022sghmc,
  title   = {Global convergence of stochastic gradient Hamiltonian Monte Carlo for nonconvex stochastic optimization: nonasymptotic performance bounds and momentum-based acceleration},
  author  = {Xuefeng Gao and Mert Gürbüzbalaban and Lingjiong Zhu},
  year    = {2022},
  journal = {Operations Research},
  volume  = {70(5)},
  pages   = {2931--2947},
  doi     = {10.1287/opre.2021.2162},
}

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