Travis LaCroix (University of California, Irvine)
I propose a formal framework for measuring the amount of information contained in a complex signal. The basis for this model is the relative entropy of the complex signal as a whole compared to the entropy of its constitutive parts when decomposed. On this definition, we have a clear way of determining the degree of compositionality of a complex signal and thus a criterion for whether or not a complex signal is compositional in the first place. Several complicating factors are addressed.
