Why Topology Matters for Data Science and AI

Topology offers a way to organize complex data by looking for shape, structure, and relationships. Yusu Wang, Ph.D., UC San Diego, and Gunnar E. Carlsson, Ph.D., Stanford University, discuss how ideas from algebraic topology move from pure mathematics into data science, machine learning, and AI. Carlsson explains why topological data analysis helps identify meaningful groups in large data sets,…