3 papers
math.AT2018
Canonical stratifications along bisheaves
Vidit Nanda, Amit Patel
A theory of bisheaves has been recently introduced to measure the homological stability of fibers of maps to manifolds. A bisheaf over a topological space is a triple consisting of…
math.GR2018
Equivariant simplicial reconstruction
Lisa Carbone, Vidit Nanda, Yusra Naqvi
We introduce and analyze parallelizable algorithms to compress and accurately reconstruct finite simplicial complexes that have non-trivial automorphisms. The compressed data -- ca…
stat.ML2018
Persistence paths and signature features in topological data analysis
Ilya Chevyrev, Vidit Nanda, Harald Oberhauser
We introduce a new feature map for barcodes that arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, an…