1 code implementation • 28 Oct 2021 • Alexandros Dimitrios Keros, Vidit Nanda, Kartic Subr
Simplicial complexes can be viewed as high dimensional generalizations of graphs that explicitly encode multi-way ordered relations between vertices at different resolutions, all at once.
no code implementations • 12 Oct 2021 • Uzu Lim, Harald Oberhauser, Vidit Nanda
Consider a set of points sampled independently near a smooth compact submanifold of Euclidean space.
1 code implementation • 25 Aug 2019 • Bernadette J. Stolz, Jared Tanner, Heather A. Harrington, Vidit Nanda
This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data.
Algebraic Topology Algebraic Geometry 57N80
no code implementations • 1 Jun 2018 • Ilya Chevyrev, Vidit Nanda, Harald Oberhauser
We introduce a new feature map for barcodes that arise in persistent homology computation.
1 code implementation • 23 Dec 2013 • Justin Curry, Robert Ghrist, Vidit Nanda
Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology.
Algebraic Topology 55-04