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Forward and backward state abstractions for off-policy evaluation

Hao, Meiling, Su, Pingfan, Hu, Liyuan, Szabo, Zoltan, Zhao, Qianyu and Shi, Chengchun (2024) Forward and backward state abstractions for off-policy evaluation. . arXiv. (Submitted)

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Abstract

Off-policy evaluation (OPE) is crucial for evaluating a target policy’s impact offline before its deployment. However, achieving accurate OPE in large state spaces remains challenging. This paper studies state abstractions – originally designed for policy learning – in the context of OPE. Our contributions are three-fold: (i) We define a set of irrelevance conditions central to learning state abstractions for OPE. (ii) We derive sufficient conditions for achieving irrelevance in Q-functions and marginalized importance sampling ratios, the latter obtained by constructing a time-reversed Markov decision process (MDP) based on the observed MDP. (iii) We propose a novel two-step procedure that sequentially projects the original state space into a smaller space, which substantially simplify the sample complexity of OPE arising from high cardinality.

Item Type: Monograph (Report)
Official URL: https://arxiv.org/
Divisions: Statistics
Subjects: H Social Sciences > HA Statistics
Date Deposited: 02 Jul 2024 07:54
Last Modified: 02 Jul 2024 08:06
URI: http://eprints.lse.ac.uk/id/eprint/124074

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