Issues of Stability and Uniqueness of Stochastic Matrix Factorization

摘要

Two closely related problems-stability of the solution to the topic modeling problem and uniqueness of the stochastic matrix factorization are considered. A theorem describing an analytical method for finding out if the stability of the solution to a given stochastic matrix factorization problem is formulated and proved. The practical usefulness of this theorem is investigated by applying it to real-life data.