Canonical Stratification for Non-Mathematicians
Our recent publication “Algorithmic Canonical Stratifications of Simplicial Complexes” proposes a new algorithm for data analysis that offers a topology-aware path towards explainable artificial intelligence. Despite (or, perhaps, due to) being mathematically rigorous, the text of the original work is virtually impenetrable for readers not familiar with the concepts, tools, and notation of topology. In order to convey our ideas to a wider audience, we present this supplemental introduction. Here, we summarize and explain in plain English the motivation, reasoning, and methods of our new topological data analysis algorithm that we term “canonical stratification”. Canonical-Stratification-for-Non-Mathematicians.pdf (38 KB) Table of Contents 1. Motivation 2. More on Canonical Stratification 3. Conclusion 1. Motivation Machine learning has advanced significantly in recent years and has proven itself to be a powerful and versatile tool in a variety of data-driven disciplines. Machine learning algorithms are now being used to make decisions in numerous areas [...]