In recent years, advances in topological data analysis have been fueled by progresses on both fronts of mathematics and algorithms. This workshop intends to focus on the computational aspects of topological persistence that is central to this development. Diverse applications of topological persistence hinge on the capability of the algorithms to handle scale and noise in data. We hope that this workshop in its second year, termed as "Computational Persistence 2022", provides a forum to exchange ideas on developing efficient, robust, application-driven algorithms backed up by solid mathematics.