In probability theory cumulants are maps that measure the independence of random variables. Cumulants can also be described as functions that measure the deviation of a map between algebras from being an algebra map. In Algebraic topology maps between algebras that are homotopic to being algebra maps can be studied using A-infinity morphisms or C-infinity morphisms. In this talk we will explore a way to connect these two different points of views about maps between algebras that don't necessarily respect the product structure.