Redundancy Reduction and Pattern Recognition

Article excerpt. Richard Dawkins. Evolutionary Biologist; Emeritus Professor of the Public Understanding of Science, Oxford; Co-Author, with Yan Wong, The Ancestors Tale (Second Edition); Author, The Selfish Gene; The God Delusion; An Appetite For Wonder, Outgrowing God.

The folklore of neurobiology includes a mythical ‘grandmother neurone’, which fires only when a very particular image falls on the retina. If there were a specific neurone for everything we can recognise – lots of faces, objects, letters of the alphabet, flowers, each one seen from many angles and distances, we would have a combinatorial explosion.

If sensory recognition worked on the ‘grandmother principle’, the number of specific recognition neurones for all possible combinations of nerve impulses would exceed the number of atoms in the universe. Independently, the American psychologist Fred Attneave had calculated that the volume of the brain would have to be measured in cubic light years.

Claude Shannon, inventor of Information Theory, coined ‘redundancy’ as a kind of inverse of information. In English, ‘q’ is always followed by ‘u’, so the ‘u’ can be omitted without loss of information. It is redundant.

Wherever redundancy occurs in a message (which is wherever there is non-randomness), the message can be more economically recoded without loss of information (although with some loss in capacity to correct errors). Barlow suggested that, at every stage in sensory pathways, there are mechanisms tuned to eliminate massive redundancy.

The world at time t is not greatly different from the world at time t-1. Therefore it is not necessary for sensory systems continuously to report the state of the world. They need only signal changes, leaving the brain to assume that everything not reported remains the same. Sensory adaptation is a well-known feature of sensory systems, which does precisely as Barlow prescribed. If a neurone is signalling temperature, for example, the rate of firing is not, as one might naively suppose, proportional to the temperature. Instead, firing rate increases only when there is a change in temperature. It then dies away to a low resting frequency. The same is true of neurones signalling brightness, loudness, pressure and so on.

Sensory adaptation achieves huge economies by exploiting the non-randomness in temporal sequence of states of the world.

What sensory adaptation achieves in the temporal domain, the well-established phenomenon of lateral inhibition does in the spatial domain. If a scene in the world falls on a pixellated screen, such as the back of a digital camera or the retina of an eye, most pixels see the same as their immediate neighbours. The exceptions are those pixels which lie on edges, boundaries. If every retinal cell faithfully reported its light value to the brain, the brain would be bombarded with a massively redundant message. Huge economies can be achieved if most of the impulses reaching the brain come from pixel cells lying along edges in the scene. The brain then assumes uniformity in the spaces between edges.

Lettvin and colleagues discovered a ‘strangeness’ neurone in their frogs, which fires only when a moving object does something unexpected, such as speeding up, slowing down, or changing direction. The strangeness neurone is tuned to filter out redundancy of a very high order.