Topological Data Analysis for Genomics and Evolution : Topology in Biology (Hardcover)

Introduction; Part I. Topological Data Analysis: 1. Basic notions of algebraic topology; 2. Topological data analysis; 3. Statistics and topological inference; 4. Manifold learning and metric geometry; Part II. Biological Applications: 5. Evolution, trees, and beyond; 6. Cancer genomics; 7. Single cell expression data; 8. Three dimensional structure of DNA; 9. Topological data analysis beyond genomics; 10. Conclusions.