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Who Needs Emotions? The Brain Meets the Robot

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256 robots<br />

especially when young. Every attachment object has an attachment bond<br />

between itself and <strong>the</strong> child, where <strong>the</strong> force of <strong>the</strong> attachment is situationally<br />

dependent and is directed toward reducing <strong>the</strong> distance of separation between<br />

<strong>the</strong> child and <strong>the</strong> attachment object (Bowlby, 1969).<br />

Likhachev and Arkin (2000) extrapolated <strong>the</strong>se ideas to working robotic<br />

systems. Taking some liberty with formal attachment <strong>the</strong>ory, we now view<br />

that an infant (robot) maximizes its exogenous and endogenous comfort<br />

components by being physically collocated with its mo<strong>the</strong>r (object of attachment).<br />

<strong>The</strong> attractive force is a function of <strong>the</strong> attachment bond that corresponds<br />

to <strong>the</strong> object, <strong>the</strong> individual’s overall comfort level, and <strong>the</strong> separation<br />

distance.<br />

<strong>The</strong> intent here is not to create a robotic model of a human child but,<br />

ra<strong>the</strong>r, to produce useful behavior in autonomous robotic systems (see Chapter<br />

4, Fellous and LeDoux). While robots are not children, <strong>the</strong>re are none<strong>the</strong>less<br />

advantages to maintaining an attachment bond with certain individuals<br />

or objects (e.g., caregivers, owners, a military base, a fuel supply, or familiar<br />

end-users) as <strong>the</strong>y typically satisfy <strong>the</strong> robot’s endogenous needs (e.g., energy)<br />

while also providing a high level of familiarity and predictability in <strong>the</strong><br />

environment. Each attachment object has an associated attachment bond.<br />

<strong>The</strong> degree to which <strong>the</strong> robot bonds to a particular object depends on how<br />

its needs are met by that object and <strong>the</strong> level of comfort it can achieve. It is<br />

interesting to note that brain research on attachment is emerging, though at<br />

this point it is not clear how it can be applied to robotics (see Chapter 4,<br />

Fellous and LeDoux).<br />

COMPUTATIONAL MODEL OF ATTACHMENT<br />

<strong>The</strong> result of attachment behavior is a response directed toward increasing<br />

or maintaining proximity with <strong>the</strong> attachment object (Colin, 1996). In a<br />

schema-based model, this results in an attractive vector directed toward <strong>the</strong><br />

object of attachment of varying magnitude dependent upon <strong>the</strong> separation<br />

distance. This vector magnitude (A) represents <strong>the</strong> intensity of <strong>the</strong> attachment,<br />

which is functionally as follows:<br />

A = f(C,a,d)<br />

where C is <strong>the</strong> overall comfort level of a robot, a is <strong>the</strong> attachment bonding<br />

quality between <strong>the</strong> robot and <strong>the</strong> particular attachment object in question,<br />

and d is <strong>the</strong> distance between <strong>the</strong> robot and <strong>the</strong> attachment object. Specifically,<br />

A is defined as <strong>the</strong> product of <strong>the</strong> normal attachment maximum level<br />

(N), <strong>the</strong> quality of attachment (a), and <strong>the</strong> amplification of <strong>the</strong> comfort<br />

component in <strong>the</strong> function by a proximity factor (D):

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