Efficient Regret Minimization in Non-Convex Games

Abstract

We consider regret minimization in repeated games with non-convex loss functions. Minimizing the standard notion of regret is computationally intractable. Thus, we define a natural notion of regret which permits efficient optimization and generalizes offline guarantees for convergence to an approximate local optimum. We give gradient-based methods that achieve optimal regret, which in turn guarantee convergence to equilibrium in this framework.

Cite

Text

Hazan et al. "Efficient Regret Minimization in Non-Convex Games." International Conference on Machine Learning, 2017.

Markdown

[Hazan et al. "Efficient Regret Minimization in Non-Convex Games." International Conference on Machine Learning, 2017.](https://mlanthology.org/icml/2017/hazan2017icml-efficient/)

BibTeX

@inproceedings{hazan2017icml-efficient,
  title     = {{Efficient Regret Minimization in Non-Convex Games}},
  author    = {Hazan, Elad and Singh, Karan and Zhang, Cyril},
  booktitle = {International Conference on Machine Learning},
  year      = {2017},
  pages     = {1433-1441},
  volume    = {70},
  url       = {https://mlanthology.org/icml/2017/hazan2017icml-efficient/}
}