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William A. Sethares

William A. Sethares

William A. Sethares
Professor

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  • Contact Information

    2556 Engineering Hall
    1415 Engineering Drive
    Madison, WI 53706
    Tel: 608/262-5669

    Program Affiliations

    Education

    Fields of Interest

    Summary

    What is learning? How do people learn? How can machines learn?

    Suppose you reach to the ground to pick up a black stone. You expect it to be heavy, but it's porous and it nearly flies from your hand. What do you do? You heft it, bouncing it lightly until you get the "feel" of it. The next time you reach for a similar stone, you can lift it smoothly and precisely.

    Think of it this way....you have a mental image or model of the stone that is built from previous experience. You experiment with the stone and compare the predictions of the model with the results of your experimental observations. When your expectations are not quite right, you use the difference between what you expect to happen and what really happens to improve your model of black porous stones. You heft the stone until you are satisfied that you have an accurate model....next time, you will know what to expect.

    Some machines can exhibit this type of learning. Consider the following "mathematization" of the above scenario. An input is applied to a real system (a robot arm, a communication channel, a chemical plant, a porous black stone) and is simultaneously digitized and applied to a model of that system residing in a computer. The system and the model both produce outputs, which are then compared. The difference is used to improve the model using some clever scheme or "algorithm." If the algorithm is good, and if the inputs are properly conditioned (you had to apply a variety of inputs by hefting the stone), then it is reasonable that the model might eventually "identify" or mimic the real system. Part of my research effort is in examining these "ifs"... What are good algorithms? Under what conditions can these algorithms correctly identify the real system? When will they fail?

    These identification processes provide a simple paradigm of many common engineering situations. They are incorporated in control systems (called adaptive control) and in signal processing applications (adaptive noise cancellation, adaptive equalization, adaptive filtering). More recently networks of such algorithms are being used as "neural elements" in the hopes of modeling more complicated behaviors.

    Constructing and understanding adaptive algorithms is one approach to the creation of machines with a primitive ability to learn. Perhaps understanding our creations may lead to a deeper understanding of ourselves.




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