Since its initial publication, we have continued to explore the utility of the ILSA. We have experimented with algorithm parameters and configurations while challenging the ILSA with more complex mixtures. We have also heard from other scientists who have tested the ILSA with their use-cases. Through this experimentation and discussion, we have identified several subtle but nontrivial ways to improve the performance of the ILSA. In this note, we provide a revised description of the ILSA that includes these advancements. A simple software implementation of the ILSA to supplement this note is available for review , and an interactive implementation of the ILSA is included with the NIST/NIJ DART-MS Data Interpretation Tool .