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Steven Pinker -- How the Mind Works - Hampshire High Italian ...

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106 | HOW THE MIND WORKSbecause send a pen is <strong>the</strong> only guess that does not violate soime constraint.Sinned and pin would give me sinned a pin, which violates <strong>the</strong>rules of grammar and plausible meaning; send and pin can be ruled outby <strong>the</strong> constraint that <strong>the</strong> two vowels were pronounced identically;sinned and pen can be ruled out because <strong>the</strong>y violate both <strong>the</strong>se constraints.This kind of reasoning takes a long time if all <strong>the</strong> compatibilities mustbe tested one at a time. But in an auto-associator, <strong>the</strong>y are coded beforehandin <strong>the</strong> connections, and <strong>the</strong> network can evaluate <strong>the</strong>m all at once.Suppose each interpretation is a toy neuron, one for sinned, one for send,and so on. Suppose that pairs of units whose interpretations are consistentare connected with positive weights and pairs of units whoseinterpretations are inconsistent are connected with negative weights.Activation will ricochet around <strong>the</strong> network, and if all goes well, it willsettle into a state in which <strong>the</strong> greatest number of mutually consistentinterpretations are active. A good metaphor is a soap bubble that wobblesin eggy and amoeboid shapes as <strong>the</strong> tugs among its neighboring moleculespull it into a sphere.Sometimes a constraint network can have mutually inconsistent butequally stable states. That captures <strong>the</strong> phenomenon of global ambiguity,in which an entire object, not just its parts, can be interpreted in twoways. If you stare at <strong>the</strong> drawing of a cube on page 107 (called a Neckercube), your perception will flip from a downward view of its top face toan upward view of its bottom face. When <strong>the</strong> global flip occurs, <strong>the</strong>interpretations of all of <strong>the</strong> local parts are dragged with it. Every nearedge becomes a far edge, every convex corner becomes a concave corner,and so on. Or vice versa: if you try to see a convex corner as concave,you can sometimes nudge <strong>the</strong> whole cube into flipping. Thedynamics can be captured in a network, shown below <strong>the</strong> Cube, inwhich <strong>the</strong> units represent <strong>the</strong> interpretations of <strong>the</strong> parts, and <strong>the</strong> interpretationsthat are consistent in a 3-D object excite each o<strong>the</strong>r while<strong>the</strong> ones that are inconsistent inhibit each o<strong>the</strong>r.A fourth advantage comes from a network's ability to generalize automatically.If we had connected our letter-detector (which funneled abank of input units into a decision unit) to our letter-printer (which hadan intention unit fanning out into a bank of output units), we would havemade a simple read-write or lookup demon—for example, one thatresponds to a B by printing a C. But interesting things happen if you skip<strong>the</strong> middleman and connect <strong>the</strong> input units directly to <strong>the</strong> output units.

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