, Sparse Dowker Nerves. ArXiv e-prints, 2018.
, Sparse Filtered Nerves. ArXiv e-prints, 2018.
Approximating persistent homology in Euclidean space through collapses, Communication and Computing, vol.26, issue.1, pp.73-101, 2015. ,
Topology and data, Bull. Amer. Math. Soc. (N.S.), vol.46, issue.2, pp.255-308, 2009. ,
A geometric perspective on sparse filtrations, 2015. ,
Improved topological approximations by digitization, 2018. ,
,
A functorial Dowker theorem and persistent homology of asymmetric networks, 2016. ,
SimBa: an efficient tool for approximating Ripsfiltration persistence via simplicial batch-collapse, 24th Annual European Symposium on Algorithms, vol.57, p.16, 2016. ,
On the shape of a set of points in the plane, IEEE Transactions on Information Theory, vol.29, issue.4, pp.551-559, 1983. ,
Topological persistence and simplification, 41st Annual Symposium on Foundations of Computer Science, pp.454-463, 2000. ,
A roadmap for the computation of persistent homology, EPJ Data Science, vol.6, issue.1, p.17, 2017. ,
Towards computing homology from approximations, Topology Proceedings, vol.24, 1999. ,
, GUDHI User and Reference Manual. GUDHI Editorial Board, 2015.