Search Results for author:
Found 7 papers, 4 papers with code
Discrete Morse theory for computing cellular sheaf cohomology
Sheaves and sheaf cohomology are powerful tools in computational topology, greatly generalizing persistent homology.
Algebraic Topology 55-04
Persistence paths and signature features in topological data analysis
We introduce a new feature map for barcodes that arise in persistent homology computation.
Geometric anomaly detection in data
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
Tangent Space and Dimension Estimation with the Wasserstein Distance
Consider a set of points sampled independently near a smooth compact submanifold of Euclidean space.
Dist2Cycle: A Simplicial Neural Network for Homology Localization
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.
HADES: Fast Singularity Detection with Local Measure Comparison
We introduce Hades, an unsupervised algorithm to detect singularities in data.
Quiver Laplacians and Feature Selection
The challenge of selecting the most relevant features of a given dataset arises ubiquitously in data analysis and dimensionality reduction.
