Chromatic Analysis of Numerical Programs

This paper introduces the concept of chromatic numbers, which allows to tint a scalar or a set of scalars to estimate the relations between input and output variables under additive property. This consists in proposing a decomposition of a resulting value as a sum of tinted values. We illustrate how this concept can be used on a deep neural networks example by tinting group of value at once allowing to track a large number of values together.