74 citations · 266 across the 25 of their papers we have counts for
27 papers
Effective Whitney Stratification of Real Algebraic Varieties
Martin Helmer, Anton Leykin, Vidit Nanda
We describe new algorithms to compute Whitney stratifications of real algebraic varieties. Using either conormal or polar techniques, these algorithms stratify a complexification o…
Multilinear Hyperquiver Representations
Tommi Muller, Vidit Nanda, Anna Seigal
We count singular vector tuples of a system of tensors assigned to the edges of a directed hypergraph. To do so, we study the generalisation of quivers to directed hypergraphs. Ass…
Harder-Narasimhan Filtrations of Persistence Modules
Marc Fersztand, Emile Jacquard, Vidit Nanda +1
The Harder-Narasimhan type of a quiver representation is a discrete invariant parameterised by a real-valued function (called a central charge) defined on the vertices of the quive…
A Survey of Vectorization Methods in Topological Data Analysis
Dashti Ali, Aras Asaad, Maria-Jose Jimenez +3
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In th…
Harder-Narasimhan Filtrations and Zigzag Persistence
Marc Fersztand, Vidit Nanda, Ulrike Tillmann
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type quivers,…
Topological Inference of the Conley Index
Ka Man Yim, Vidit Nanda
The Conley index of an isolated invariant set is a fundamental object in the study of dynamical systems. Here we consider smooth functions on closed submanifolds of Euclidean space…