Page 270 - Deep Learning
P. 270

Error Correction: The Specialization Theory    253


                              NORBERT WIENER’S INSIGHT

            The acquisition of practical knowledge is shaped by the facts that we necessar-
            ily operate on the basis of a small and unrepresentative sample of experiences,
            that our material and social environments are turbulent and that we frequently
            move to colonize unfamiliar task environments. Under those conditions, prior
            experience is a limited guide to action, and errors and failures are unavoidable.
            The error rate can only be reduced locally, in tight contexts and over short
            periods of time.
               According  to  the  constraint-based  specialization  theory,  errors  are  not
            merely passively eliminated as a side effect of the acquisition of the correct
            knowledge. Errors play an active part in their own elimination by providing
            information that gives direction to the adaptive process. People have always
            understood that errors are learning opportunities – witness proverbs like burnt
            child dreads the fire – but they did not know how to conceptualize the infor-
            mation that resides in errors. A negative outcome is not, by itself, informative,
            and neither is the frequency with which a particular type of error occurs or
            the type of situation in which it tends to occur. Comparisons between multiple
            situations that produced positive and negative outcomes are informative but
            they require psychologically implausible computations.
               It was not until the cybernetics movement in the 1940s and 1950s that it
            became clear that the information provided by errors resides in the deviations
            between expected and observed outcomes.  In his book Cybernetics, pub-
                                                 62
            lished in 1948, the mathematician Norbert Wiener argued for an interdisci-
            plinary science centered on the concept of feedback circles.  Wiener’s genius
                                                             63
            was to realize that intelligent, purposeful action, whether by animal, human
            or machine, needs to be guided by the information provided by the devia-
            tions between the intended (or expected) action outcomes and the observed
            (or realized) outcomes. In engineering applications, outcomes are typically
            values on quantitative variables, so the deviation between an intended and
            an observed outcome can be expressed quantitatively. The desired correction
            is achieved by feeding the magnitude of the deviation back into the system,
            which then adjusts its operation so as to bring the actual outcome closer to
            the intended one. For example, the operation of a thermostat is controlled by
            the difference between the set temperature and the actual temperature in the
            room.
               The idea of a comparison between the projected and observed outcomes
            of an action is more general than Wiener’s strictly quantitative definition of
            negative feedback. The constraint-based specialization process described in
   265   266   267   268   269   270   271   272   273   274   275