Paper review

From: Xu Miao (xm_at_u.washington.edu)
Date: Wed Nov 19 2003 - 11:18:19 PST

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    Title: Symbolic Heuristic Search for Factored Markov Decision Processes
    Authors: Zhengzhu Feng Eric A. Hansen

    Summary:
    Based on ADD and SPUDD, the authors introduced State Abstraction and
    Reachability Analysis so that a much improved algorithm Symbolic LAO*
    algorithm is developed with experiments showing an impressive improvement of
    the performance.

    Important ideas:
            1. Characteristic function is used to state abstraction, which
    reduced the computational complexity further than ADD. But ADD is still used
    to represents the functions (value, reward, policy and heuristic functions)
            2. LAO* is introduced to replace the DP in SPUDD. A masking is used
    to do a reachablility analysis so that every time DP will only expend
    reachable states and update those states' value. A heuristic function is
    used to guid the search.

    Flaws:
            1. Experiments demonstrate high performance of Symb-LAO*. For some
    small G, it is better than SPUDD, close to LAO*;for some big G, it is better
    than both of them. But these experiments maybe not enough, especially the
    big G examples are artificial ones.

    Open questions:
            1. Design a good heuristic function will be benefit.
            2. Integrating additional strategies into a decision-theoretic
    planner, as the autors claimed, but I am not very clear about it.


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