4 papers
Stratified Morse Theory for Cell Complexes
Vidit Nanda, Francesca Tombari
We develop a version of discrete Morse theory for finite regular CW complexes equipped with an auxiliary stratification. The key construction is the halo of a cell, which contains…
The Morse Transform for Discrete Shape Analysis
Alexander M. Tanaka, Aras T. Asaad, Richard Cooper +1
The geometry of an object plays a vital role in modulating its interactions with the physical world. It nevertheless remains difficult to describe geometric information numerically…
Quiver Laplacians and Feature Selection
Otto Sumray, Heather A. Harrington, Vidit Nanda
The challenge of selecting the most relevant features of a given dataset arises ubiquitously in data analysis and dimensionality reduction. However, features found to be of high im…
HADES: Fast Singularity Detection with Local Measure Comparison
Uzu Lim, Harald Oberhauser, Vidit Nanda
We introduce Hades, an unsupervised algorithm to detect singularities in data. This algorithm employs a kernel goodness-of-fit test, and as a consequence it is much faster and far…