Mert Gürbüzbalaban

Publications · Journal article · Optim. Methods Softw. 2025

Entropic risk-averse generalized momentum methods


Bugra Can, Mert Gürbüzbalaban

Optimization Methods and Software, 40(6), pp. 1535–1583, 2025.

In brief

Builds a unified convergence and risk analysis for the generalized momentum family (covering gradient descent, heavy ball, and Nesterov acceleration) under stochastic gradient errors, bounding the entropic risk and entropic value-at-risk of suboptimality. The bounds support risk-averse parameter selection (RA-GMM): choosing step and momentum on the rate–risk Pareto frontier rather than for expected performance alone.

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Cite
@article{can2025entropic,
  title   = {Entropic risk-averse generalized momentum methods},
  author  = {Bugra Can and Mert Gürbüzbalaban},
  year    = {2025},
  journal = {Optimization Methods and Software},
  volume  = {40(6)},
  pages   = {1535--1583},
  doi     = {10.1080/10556788.2025.2549356},
}

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