Search Results for author: Vidit Nanda

Found 5 papers, 3 papers with code

Dist2Cycle: A Simplicial Neural Network for Homology Localization

1 code implementation28 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.

Tangent Space and Dimension Estimation with the Wasserstein Distance

no code implementations12 Oct 2021 Uzu Lim, Harald Oberhauser, Vidit Nanda

Consider a set of points sampled independently near a smooth compact submanifold of Euclidean space.

Geometric anomaly detection in data

1 code implementation25 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

Discrete Morse theory for computing cellular sheaf cohomology

1 code implementation23 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

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