Review: Symbolic Huerisitic Search for Factored MDPs

From: Lucas Kreger-Stickles (lucasks_at_cs.washington.edu)
Date: Wed Nov 19 2003 - 11:00:14 PST

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    * Paper title/Author
    Symbolic Heuristic Search for Factored Markov Decision Processes
            Feng and Hansen

    * One-line summary
            The authors present an algorithm (symbolic-LAO*) that combines the use
    of state abstraction with the use of admissible hueristics to improve
    the performance when solving MDPs.

    * The (two) most important ideas in the paper, and why
            I think that one of the major ideas of the paper is that heuristics and
    dynamic programming can be combined to create algorithms that draw on
    the strengths of both.
            The other major idea I find throughout the paper is that ideas from
    model checking (such as ADDs) can be efficitvly used to reduce both the
    memory requirements and the size of the search space when solving
    decision theotretic planning problems. While they concede that the use
    of ADDs was not an origional idea, this paper does contribute further
    empirical evidence for their use.

    * The one or two largest flaws in the paper
    If find the use of artificial examples to be esspecially troubling.
    When they first introduce the idea they present it as OK since the
    problems they construct are supposed to be harder for huerisitic search
    to solve. However, when they then go on to compare the results of
    symbolic-LAO* against LAO* (which also uses hueristics) and conclude
    that symbolic-LAO* is better by way of the artificial examples I get
    suspicous.

    * Identify two important, open research questions on the topic, and why
    they matter
            I would like to see some data where symbolic-LAO* outperforms other
    algorithms on 'real' (ie not artificial') planning problems.
            Also, this paper briefly mentions techniques that they used to
    automatically generate admissible heurisitcs. While not the focus of
    this paper, I think more work in this area would be of great benifit to
    the AI community.


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