Topological data analysis : the Abel Symposium 2018 /: the Abel Symposium 2018. ([2020])

• Record Type: Book
• Further Information: Note: Nils A. Baas [and four others], editors.
• Editors: Baas, Nils Andreas
• Contents: A fractal dimension for measures via persistent homology -- DTM-based filtrations -- Persistence diagrams as diagrams: a categorification of the stability theorem -- The persistence landscape and some of its properties -- Topological approaches to deep learning -- Topological data analysis of single-cell Hi-C contact maps -- Neural ring homomorphisms and maps between neural codes -- Radius functions on Poisson-Delaunay mosaics and related complexes experimentally -- Iterated integrals and population time series analysis -- Prediction in cancer genomics using topological signatures and machine learning -- Topological adventures in neuroscience -- Percolation on homology generators in codimension one -- Hyperplane neural codes and the polar complex -- Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence -- Canonical stratifications along bisheaves -- Inverse problems in topological persistence -- Sparse circular coordinates via principal Z-bundles -- Same but different: distance correlations between topological summaries -- Certified mapper: repeated testing for acyclicity and obstructions to the nerve lemma. .
• Publisher Details: Cham, Switzerland : Abel Prisen Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource (xiv, 515 pages)
• Subjects: 514.2; Algebraic topology -- Congresses; Electronic books
• Languages: English
• ISBNs: 3030434087; 9783030434083
• Notes: Note: Includes bibliographical references.; Note: Description based on print version record
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.