9 citations · 28 across the 14 of their papers we have counts for
15 papers
DiffRed: Dimensionality Reduction guided by stable rank
Prarabdh Shukla, Gagan Raj Gupta, Kunal Dutta
In this work, we propose a novel dimensionality reduction technique, DiffRed, which first projects the data matrix, A, along first principal components and the residual matri…
Effect of Spin Orbit Coupling in non-centrosymmetric half-Heusler alloys
Kunal Dutta, Subhadeep Bandyopadhyay, Indra Dasgupta
Spin-orbit coupled electronic structure of two representative non-polar half-Heusler alloys, namely 18 electron compound CoZrBi and 8 electron compound SiLiIn have been studied in…
Strong Collapse of Random Simplicial Complexes
Jean-Daniel Boissonnat, Kunal Dutta, Soumik Dutta +1
The \emph{strong collapse} of a simplicial complex, proposed by Barmak and Minian (\emph{Disc. Comp. Geom. 2012}), is a combinatorial collapse of a complex onto its sub-complex. Re…
Sparse Geometric Set Systems and the Beck-Fiala Conjecture
Kunal Dutta, Arijit Ghosh
We investigate the combinatorial discrepancy of geometric set systems having bounded shallow cell complexity in the \emph{Beck-Fiala} setting, where each point belongs to at most $…
Dimensionality Reduction for Persistent Homology with Gaussian Kernels
Jean-Daniel Boissonnat, Kunal Dutta
Computing persistent homology using Gaussian kernels is useful in the domains of topological data analysis and machine learning as shown by Phillips, Wang and Zheng [SoCG 2015]. Ho…
Uniform Brackets, Containers, and Combinatorial Macbeath Regions
Kunal Dutta, Arijit Ghosh, Shay Moran
We study the connections between three seemingly different combinatorial structures - "uniform" brackets in statistics and probability theory, "containers" in online and distribute…