74 citations · 266 across the 25 of their papers we have counts for
6 papers · 1 filter
Multivariate Central Limit Theorems for Random Clique Complexes
Tadas Temčinas, Vidit Nanda, Gesine Reinert
Motivated by open problems in applied and computational algebraic topology, we establish multivariate normal approximation theorems for three random vectors which arise organically…
The Space of Barcode Bases for Persistence Modules
Emile Jacquard, Vidit Nanda, Ulrike Tillmann
The barcode of a persistence module serves as a complete combinatorial invariant of its isomorphism class. Barcodes are typically extracted by performing changes of basis on a pers…
Dist2Cycle: A Simplicial Neural Network for Homology Localization
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 a…
Tangent Space and Dimension Estimation with the Wasserstein Distance
Uzu Lim, Harald Oberhauser, Vidit Nanda
Consider a set of points sampled independently near a smooth compact submanifold of Euclidean space. We provide mathematically rigorous bounds on the number of sample points requir…
Conormal Spaces and Whitney Stratifications
Martin Helmer, Vidit Nanda
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. The main ingredients are (a) an algebraic criterion, due to Lê and Teissier, whic…
Principal Components along Quiver Representations
Anna Seigal, Heather A. Harrington, Vidit Nanda
Quiver representations arise naturally in many areas across mathematics. Here we describe an algorithm for calculating the vector space of sections, or compatible assignments of ve…