Chrystopher L. Nehaniv, Naeem Assif Mirza, and Lars Olsson, "Development via Information Self-structuring of Sensorimotor Experience and Interaction," in Max Lungarella, Fumiya Iida, Josh Bongard, Rolf Pfiefer, eds., 50 Years of Artificial Intelligence, Springer, 2007

VISUAL PROOF OF THE TRIANGLE INEQUALITY FOR INFORMATION DISTANCE

Visualization of the entropies H of three information sources modeled as random variables X, Y, and Z, with the variously shaded double-crescent regions showing, for each pair of variables, the sum of these conditional entropies, which gives their information distance.