Today in the class I'm TFing we covered some of the research on preferences for symmetric faces, which is apparently a preference that people have since birth. Basically, the idea is that people seem to prefer faces that are highly symmetrical to those that have noticeable asymmetries. This preference tends to be measured by asking which faces are the most attractive.
Things could have gone the other way. Many highly attractive celebrities have freakish asymmetries. Angelina Jolie has huge lips, for example. In fact, for all the times I've seen the symmetrical faces demonstration, I never find the completely symmetrical faces to be all that attractive.
Typically, symmetry is achieved in the lab by morphing several faces. If you average enough faces, the asymmetries of each becomes less prominent and you more smoothed. This has led to speculation that symmetrical faces are attractive precisely because they are average in some sense. Perhaps evolutionarily they represent the genetic central tendency and that somehow represents health. Or something.
But a more interesting (and I think more credible) theory is that symmetrical faces are somehow easier to represent. Our Professor Frank Keil mentioned a version of this account today, basically that average faces are prototypical and they allow you to represent other faces by the difference between that face and the target face. I was surprised at this because I had never heard a psychological researcher articulate this position. I am not strongly versed in this field, but I have heard it discussed several times and attended several talks on the subject. Nearly always, the preference for symmetrical faces is tied to an evolutionary story rather than a representational one.
I like the idea that average faces are easy to represent, and for a while I've been a fan of the idea of eigenfaces. Or maybe I just like anything with "eigen" as a prefix. Or "eigenfix" as I call it.
The idea of an
eigenface is that you take the average of a set of faces and the eigenvalue of that average matrix (or some transformation of it) is used as the face prototype. Then each additional face is represented as a vector of what must be added or subtracted to the eigenface to get the target face.
Eigenfaces are used in computer vision to do face recognition. There's an interesting demo at the
media lab that shows a little how this is done.
I am not sure how much research has gone into the possibility that humans represent faces as eigenfaces, but I think it's an interesting topic.
First, it could possibly explain the preference for average faces by the fact that these have less representational overhead. This representational overhead does not have anything to do with attractiveness, which makes the attractiveness of such faces (as separate from simply a preference) something more of a mystery.
Second, it explains mathematically and in a testable way how face representation might work. This makes for good science.
Third, it's possible that many sorts of concepts are represented with eigenconcepts. This is somewhat similar to a prototype theory of concepts, but with more realism about what representations could look like. For example, there are several easy matrix transformations that you could perform on eigenvectors to yield concept variations that couldn't be predicted simply be reasoning about concept stereotypes. I had this theory figured out much more when I was reading more about concepts, but I have confidence that it's not completely a dead end.
That said, while the general metaphor of a prototype face may be floating around in psychology, the actual calculation of eigenfaces requires too much math to be considered by most mainstream cognitive scientists. If we stop talking about matrixes of 3-d images and start talking about
probability distributions over those 3-d matrices the math is even harder and less likely to be worked out. For those reasons, I don't imagine that computer science and psychology will share much information with each other as time goes by.
A friend of mine thinks that computer scientists and biologists are going to solve all of psychology's problems before we do. I hope that's not true. I would be very interested to see more collaboration among those fields.