Following a discussion with my colleague at University of Radboud Joshua Moerman on learning the product of independent automata, he pursued the subject of independence of outputs while I the independence of inputs. In this presentation I will summarise his recent paper titled ‘Learning Product Automata’ and how it relates to my work. I will present an example of a system under learning and demonstrate how its output is an aggregation of a several independent outputs. The system is then separated into those smaller subsystem units, and a modification on the learning algorithm learns those subsystems and performs a Cartesian product on them to output the complete system’s automaton, thus by optimizing on the learning time. We then view the practical results from the paper and discuss how fruitful my approach would be.