38 citations · 66 across the 28 of their papers we have counts for
6 papers · 1 filter
Differential Privacy Over Riemannian Manifolds
Matthew Reimherr, Karthik Bharath, Carlos Soto
In this work we consider the problem of releasing a differentially private statistical summary that resides on a Riemannian manifold. We present an extension of the Laplace or K-no…
Tumor Radiogenomics with Bayesian Layered Variable Selection
Shariq Mohammed, Sebastian Kurtek, Karthik Bharath +2
We propose a statistical framework to integrate radiological magnetic resonance imaging (MRI) and genomic data to identify the underlying radiogenomic associations in lower grade g…
Topo-Geometric Analysis of Variability in Point Clouds using Persistence Landscapes
James Matuk, Sebastian Kurtek, Karthik Bharath
Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes…
RADIOHEAD: Radiogenomic Analysis Incorporating Tumor Heterogeneity in Imaging Through Densities
Shariq Mohammed, Karthik Bharath, Sebastian Kurtek +2
Recent technological advancements have enabled detailed investigation of associations between the molecular architecture and tumor heterogeneity, through multi-source integration o…
Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data
Min Ho Cho, Sebastian Kurtek, Karthik Bharath
It is quite common for functional data arising from imaging data to assume values in infinite-dimensional manifolds. Uncovering associations between two or more such nonlinear func…
Joint quasiprobability distribution on the measurement outcomes of MUB-driven operators
H S Smitha Rao, Swarnamala Sirsi, Karthik Bharath
We propose a method to define quasiprobability distributions for general spin- systems of dimension , where is a prime or power of prime. The method is based on a co…