E. Chong, James Crutchfield, Christopher Ellison, V. Griffith, Ryan James
Paper #: 13-11-034
Since the seminal paper , there's been a flurry of research [2-5] towards defining an intersection information that quantifies how much of “the same information” two or more random variables specify about a target random variable. A palatable measure of intersection information would provide a principled way to quantify slippery concepts such as synergy. Here we introduce an intersection information measure based on the Gacs-Korner common random variable which is the first to satisfy the coveted Target Monotonicity property. Our measure is imperfect and we suggest directions for improvement.