Topological Data Analysis

A fractal dimension for measures via persistent homology.-&nbsp;DTM-based filtrations.-&nbsp;Persistence diagrams as diagrams: a categorification of the stability theorem.-&nbsp;The persistence landscape and some of its properties.-&nbsp;Topological approaches to deep learning.-&nbsp;Topological data analysis of single-cell Hi-C contact maps.-&nbsp;Neural ring homomorphisms and maps between neural codes.-&nbsp;Radius functions on Poisson–Delaunay mosaics and related complexes experimentally.-&nbsp;Iterated integrals and population time series analysis.-&nbsp;Prediction in cancer genomics using topological signatures and machine learning.-&nbsp;Topological adventures in neuroscience.-&nbsp;Percolation on homology generators in codimension one.-&nbsp;Hyperplane neural codes and the polar complex.-&nbsp;Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence.-&nbsp;Canonical stratifications along bisheaves.-&nbsp;Inverse problems in topological persistence.-&nbsp;Sparse circular coordinates via principal Z-bundles.-&nbsp;Same but different: distance correlations between topological summaries.-&nbsp;Certified mapper: repeated testing for acyclicity and obstructions to the nerve lemma.<div>&nbsp;</div>