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Bar-Cohen : Biomimetics: Biologically Inspired Technologies DK3163_c003 Final Proof page 113 21.9.2005 11:41pm




                    Mechanization of Cognition                                                  113

                    p(cl) (i.e., roughly, the probability of the two involved symbols being coactive). In addition,
                    studies of postsynaptic neurotransmitter depolarization transduction response (i.e., within the
                    neuron receiving the synaptic neurotransmitter output; separate from the transmitting synapse
                    itself) by Marder and her colleagues (Marder and Prinz, 2002, 2003) and by Turrigiano and her
                    colleagues (Desai et al., 2002; Turrigiano and Nelson, 2000, 2004; Turrigiano et al., 1998) suggest
                    that the postsynaptic apparatus of an excitatory cortical synapse (e.g., one landing on a target
                    symbol neuron) is independently modifiable in efficacy, in multiplicative series with this Hebbian
                    p(cl) efficacy. This ‘‘post-synaptic signaling efficacy’’ is expressed as a neurotransmitter recep-
                    tivity proportional to a direct function of the reciprocal of that target neuron’s average firing rate,
                    which is essentially 1/p(l). The net result is implementation by this Hebb/Marder/Turrigiano
                    learning process (as I call it) of an overall link strength directly related to p(cl)/p(l), which by
                    Bayes law is p(cjl). Thus, it is plausible that biological learning processes at the neuron level can
                    accumulate the knowledge needed for confabulation.

                    3.A.5 Implementation of Confabulation

                    Since only a small subset of the neurons representing target lexicon symbol l are excited by
                    a knowledge link from source lexicon symbol c, how can confabulation be implemented?
                    This section, which presents the theory’s hypothesized implementation of confabulation,
                    answers this question and shows that these ‘‘internally sparse’’ knowledge links are an essential
                    element of cortical design. Counterintuitively, if these links were ‘‘fully connected,’’ cortex could
                    not function.
                      Figure 3.A.6 schematically illustrates how confabulation is implemented in a thalamocortical
                    (answer lexicon) module. The four boxes on the left are four cortical lexicons, each having exactly
                    one assumed fact symbol active (symbols a, b, g, and d respectively). Each of these active symbols
                    is represented by the full complement of the neurons which represent it, which are all active
                    (illustrated as a complete row of filled circles within that assumed fact symbol’s lexicon module,
                    depicted in the figure in colors green, red, blue, and brown for a, b, g, and d, respectively). As will
                    be seen below, this is how the symbol(s), which are the conclusions of a confabulation operation are
                    biologically expressed (namely, all of their representing neurons are active and all other symbol
                    representing neurons are inactive).
                      In Figure 3.A.6 the neurons representing each symbol of a module are shown as separated
                    into their own rows. Of course, in the actual tissue, the neurons of each symbol are scattered
                    randomly within the relevant layers of the cortical portion of the module implementing the
                    lexicon. But for clarity, in Figure 3.A.6 each symbol’s neurons are shown collected together
                    into one row. The fact that the same neuron appears in multiple rows (each symbol-representing
                    neuron typically participates in representing many different symbols) is ignored here, as this small
                    pairwise overlap between symbol representations causes no significant interference between
                    symbols.
                      (Note: This is easy to see: consider the simplified attractor you built and experimented
                    with above. It always converged to a single pure state x k (at least when the initial state u was
                    dominated by x k ); meaning that all of the neurons which represent x k are active and all other
                    neurons are inactive. However, each of the neurons of x k also belongs to many other stable states x i ,
                    but this does not cause any problems or interference. You may not have seen this aspect of the
                    system at the time you did your experiments — go check! You will find that even though the
                    overlap between each pair of x field stable states is relatively small, each individual neuron
                    participates in many such stable states. The properties of this kind of attractor network are quite
                    astounding; and they do not even have many of the additional design features that thalamocortical
                    modules possess.)
                      The answer lexicon for the elementary confabulation we are going to carry out (based upon
                    assumed facts a, b, g, and d, just as described in Hecht-Nielsen, 2005) is shown as the box on
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