## Abstract

In this chapter, we discuss λ-policy iteration, a method for exact and approximate dynamic programming. It is intermediate between the classical value iteration (VI) and the policy iteration (PI) methods, and it is closely related to optimistic (also known as modified) PI, whereby each policy evaluation is done approximately, using a finite number of VI. We review the theory of the method and associated questions of bias and exploration arising in simulation-based cost function approximation. We then discuss various implementations, which offer advantages over well-established PI methods that use LSPE(λ), LSTD(λ), or TD(λ) for policy evaluation with cost function approximation. One of these implementations is based on a new simulation scheme, called geometric sampling, which uses multiple short trajectories rather than a single infinitely long trajectory.

Original language | English (US) |
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Title of host publication | Reinforcement Learning and Approximate Dynamic Programming for Feedback Control |

Publisher | John Wiley and Sons |

Pages | 379-409 |

Number of pages | 31 |

ISBN (Print) | 9781118104200 |

DOIs | |

State | Published - Feb 7 2013 |

## Keywords

- DP for complex problems, λ-PI
- LSTD(λ) batch, simple matrix inversion
- MDP and RL, λ-policy iteration in DP
- λ-PI without cost function, using geometric
- λ-policy, a new implementation

## ASJC Scopus subject areas

- Engineering(all)