ICML 2021spotlight4 citations

State Relevance for Off-Policy Evaluation

Simon P Shen, Yecheng Ma, Omer Gottesman, Finale Doshi-Velez

Abstract

Importance sampling-based estimators for off-policy evaluation (OPE) are valued for their simplicity, unbiasedness, and reliance on relatively few assumptions. However, the variance of these estimators is often high, especially when trajectories are of different lengths. In this work, we introduce Omitting-States-Irrelevant-to-Return Importance Sampling (OSIRIS), an estimator which reduces variance by strategically omitting likelihood ratios associated with certain states. We formalize the conditions under which OSIRIS is unbiased and has lower variance than ordinary importance sampling, and we demonstrate these properties empirically.

BibTeX
@InProceedings{pmlr-v139-shen21d,
  title = 	 {State Relevance for Off-Policy Evaluation},
  author =       {Shen, Simon P and Ma, Yecheng and Gottesman, Omer and Doshi-Velez, Finale},
  booktitle = 	 {Proceedings of the 38th International Conference on Machine Learning},
  pages = 	 {9537--9546},
  year = 	 {2021},
  editor = 	 {Meila, Marina and Zhang, Tong},
  volume = 	 {139},
  series = 	 {Proceedings of Machine Learning Research},
  month = 	 {18--24 Jul},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v139/shen21d/shen21d.pdf},
  url = 	 {https://proceedings.mlr.press/v139/shen21d.html},
  abstract = 	 {Importance sampling-based estimators for off-policy evaluation (OPE) are valued for their simplicity, unbiasedness, and reliance on relatively few assumptions. However, the variance of these estimators is often high, especially when trajectories are of different lengths. In this work, we introduce Omitting-States-Irrelevant-to-Return Importance Sampling (OSIRIS), an estimator which reduces variance by strategically omitting likelihood ratios associated with certain states. We formalize the conditions under which OSIRIS is unbiased and has lower variance than ordinary importance sampling, and we demonstrate these properties empirically.}
}
State Relevance for Off-Policy Evaluation · ICML 2021