Dive into the second part of a comprehensive tutorial on tensor decompositions and their applications in the physical and data sciences. Explore Jennrich's algorithm, a simple yet powerful method that has been rediscovered multiple times. Gain insights into the algorithmic applications of tensor decompositions, covering topics such as phylogenetic reconstruction, learning mixture models, and orbit retrieval. Learn from Ankur Moitra of the Massachusetts Institute of Technology as he provides a unified exposition of these concepts in this 1-hour 7-minute lecture, part of the Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021 series organized by the Institute for Pure & Applied Mathematics at UCLA.