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Explore the fundamental concepts and intuition behind persistent homology computation in this 27-minute tutorial based on the seminal paper by Afra Zomorodian and Gunnar Carlsson. Delve into topics such as persistence modules, decomposition, zero and one-dimensional homology, and computational elements. Gain insights into practical experiments and applications in the field of applied algebraic topology. Access accompanying notes and fill-in-the-blank materials to enhance your understanding of this crucial topic in computational topology.
Syllabus
Introduction
Persistence modules
Decomposition
Zero dimensional homology
One dimensional homology
Computational elements
Experiments
Taught by
Applied Algebraic Topology Network