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Mind, Body, World- Foundations of Cognitive Science, 2013a

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without feature cues. Their goal was to see whether a standard result—rotational<br />

error—could be produced in an agent that did not employ the geometric module,<br />

and indeed which did not represent arena properties at all. Lund and Miglino’s fitness<br />

function simply measured a robot’s closeness to the goal location. After 30 generations<br />

<strong>of</strong> evolution, they produced a system that would navigate a robot to the goal<br />

location from any <strong>of</strong> 8 different starting locations with a 41 percent success rate.<br />

Their robots also produced rotational error, for they incorrectly navigated to the<br />

corner 180° from the goal in another 41 percent <strong>of</strong> the test trials. These results were<br />

strikingly similar to those observed when rats perform reorientation in featureless<br />

rectangular arenas (e.g., Gallistel, 1990).<br />

Importantly, the control system that was evolved by Lund and Miglino (1998)<br />

was simply a set <strong>of</strong> weighted connections between proximity detectors and motors,<br />

and not an encoding <strong>of</strong> arena shape.<br />

The geometrical properties <strong>of</strong> the environment can be assimilated in the sensorymotor<br />

schema <strong>of</strong> the robot behavior without any explicit representation. In general,<br />

our work, in contrast with traditional cognitive models, shows how environmental<br />

knowledge can be reached without any form <strong>of</strong> direct representation. (Lund and<br />

Miglino, 1998, p. 198)<br />

If arena shape is not explicitly represented, then how does the control system developed<br />

by Lund and Miglino (1998) produce reorientation task behaviour? When the<br />

robot is far enough from the arena walls that none <strong>of</strong> the sensors are detecting an<br />

obstacle, the controller weights are such that the robot moves in a gentle curve to<br />

the left. As a result, it never encounters a short wall when it leaves from any <strong>of</strong> its<br />

eight starting locations! When a long wall is (inevitably) encountered, the robot<br />

turns left and follows the wall until it stops in a corner. The result is that the robot<br />

will be at either the target location or its rotational equivalent.<br />

The control system evolved by Lund and Miglino (1998) is restricted to rectangular<br />

arenas <strong>of</strong> a set size. If one <strong>of</strong> their robots is placed in an arena <strong>of</strong> even a slightly<br />

different size, its performance suffers (Nolfi, 2002). Nolfi used a much longer evolutionary<br />

process (500 generations), and also placed robots in different sized arenas,<br />

to successfully produce devices that would generate typical results not only in a featureless<br />

rectangular arena, but also in arenas <strong>of</strong> different dimensions. Again, these<br />

robots did so without representing arena shape or geometry.<br />

Nolfi’s (2002) more general control system worked as follows. His robots would<br />

begin by moving forwards and avoiding walls, which would eventually lead them into<br />

a corner. When facing a corner, signals from the corner’s two walls caused the robot<br />

to first turn to orient itself at an angle <strong>of</strong> 45° from one <strong>of</strong> the corner’s walls. Then the<br />

robot would make an additional turn that was either clockwise or counterclockwise,<br />

depending upon whether the sensed wall was to the robot’s left or the right.<br />

Elements <strong>of</strong> Embodied <strong>Cognitive</strong> <strong>Science</strong> 241

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