Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Nanda, Vidit"'
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 importance for the entire dataset may not be relevant to subsets of inte
Externí odkaz:
http://arxiv.org/abs/2404.06993
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 more scaleable than the existing topology-based alternatives. Using to
Externí odkaz:
http://arxiv.org/abs/2311.04171
A key object of study in stochastic topology is a random simplicial complex. In this work we study a multi-parameter random simplicial complex model, where the probability of including a $k$-simplex, given the lower dimensional structure, is fixed. T
Externí odkaz:
http://arxiv.org/abs/2309.14017
Autor:
Helmer, Martin, Nanda, Vidit
We describe an algorithm to compute Whitney stratifications of real algebraic varieties. The basic idea is to first stratify the complexified version of the given real variety using conormal techniques, and then to show that the resulting stratificat
Externí odkaz:
http://arxiv.org/abs/2307.05427
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. Assigning vector spaces to the nodes of a hypergraph and multilinear maps
Externí odkaz:
http://arxiv.org/abs/2305.05622
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 quiver. In this paper, we investigate the strength and limitations of Harde
Externí odkaz:
http://arxiv.org/abs/2303.16075
Autor:
Ali, Dashti, Asaad, Aras, Jimenez, Maria-Jose, Nanda, Vidit, Paluzo-Hidalgo, Eduardo, Soriano-Trigueros, Manuel
Attempts to incorporate topological information in supervised learning tasks have resulted in the creation of several techniques for vectorizing persistent homology barcodes. In this paper, we study thirteen such methods. Besides describing an organi
Externí odkaz:
http://arxiv.org/abs/2212.09703
We introduce a sheaf-theoretic stability condition for finite acyclic quivers. Our main result establishes that for representations of affine type $\widetilde{\mathbb{A}}$ quivers, there is a precise relationship between the associated Harder-Narasim
Externí odkaz:
http://arxiv.org/abs/2211.07553
Autor:
Yim, Ka Man, Nanda, Vidit
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 and describe a framework for inferring the Conley index of any compac
Externí odkaz:
http://arxiv.org/abs/2206.10198
Autor:
Yerolemou, Naya, Nanda, Vidit
We construct an equivariant version of discrete Morse theory for simplicial complexes endowed with group actions. The key ingredient is a 2-categorical criterion for making acyclic partial matchings on the quotient space compatible with an overlaid c
Externí odkaz:
http://arxiv.org/abs/2203.00539