4 papers
Sinkhorn Based Associative Memory Retrieval Using Spherical Hellinger Kantorovich Dynamics
Aratrika Mustafi, Soumya Mukherjee
We propose a dense associative memory for empirical measures (weighted point clouds). Stored patterns and queries are finitely supported probability measures, and retrieval is defi…
Assessing Utility of Differential Privacy for RCTs
Kaitlyn R. Webb, Soumya Mukherjee, Aratrika Mustafi +2
Randomized controlled trials (RCTs) have become powerful tools for assessing the impact of interventions and policies in many contexts. They are considered the gold standard for ca…
Representing the stress and strain energy of elastic solids with initial stress and transverse texture anisotropy
Soumya Mukherjee, Michel Destrade, Artur L. Gower
Real-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to the…
Symmetry-Adapted Tight-Binding Electronic Structure Analysis of Carbon Nanotubes with Defects, Kinks, Twist, and Stretch
Soumya Mukherjee, Hossein Pourmatin, Yang Wang +2
This paper applies a symmetry-adapted method to examine the influence of deformation and defects on the electronic structure and band structure in carbon nanotubes. First, the symm…