A primal-dual perspective for distributed TD-learning

Han-Dong Lim, Donghwan Lee
10/1/2023
cs.LGmath.OC

Official code: limaries30/distributed-TD-learning (0 stars, last commit 2025-05-09).

Abstract

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as primal-dual Ordinary differential equation (ODE) dynamics subject to null-space constraints. Based on the exponential convergence behavior of the primal-dual ODE dynamics subject to null-space constraints, we examine the behavior of the final iterate in various distributed TD-learning scenarios, considering both constant and diminishing step-sizes and incorporating both i.i.d. and Markovian observation models. Unlike existing methods, the proposed algorithm does not require the assumption that the underlying communication network structure is characterized by a doubly stochastic matrix.

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Cite this paper

@article{lim2023primaldual,
  title  = {A primal-dual perspective for distributed TD-learning},
  author = {Han-Dong Lim and Donghwan Lee},
  year   = {2023},
  eprint = {2310.00638},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2310.00638v3}
}

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