English

Variable Metric Stochastic Approximation Theory

Data Analysis, Statistics and Probability 2009-08-26 v1

Abstract

We provide a variable metric stochastic approximation theory. In doing so, we provide a convergence theory for a large class of online variable metric methods including the recently introduced online versions of the BFGS algorithm and its limited-memory LBFGS variant. We also discuss the implications of our results for learning from expert advice.

Keywords

Cite

@article{arxiv.0908.3529,
  title  = {Variable Metric Stochastic Approximation Theory},
  author = {Peter Sunehag and Jochen Trumpf and S. V. N. Vishwanathan and Nicol Schraudolph},
  journal= {arXiv preprint arXiv:0908.3529},
  year   = {2009}
}

Comments

Correctment of theorem 3.4. from AISTATS 2009 article

R2 v1 2026-06-21T13:38:35.357Z