Now showing items 1-10 of 182
Bayesian shrinkage estimation of high dimensional causal mediation effects in omics studies
(Wiley Periodicals, Inc.Routledge, 2020-09)
Causal mediation analysis aims to examine the role of a mediator or a group of mediators that lie in the pathway between an exposure and an outcome. Recent biomedical studies often involve a large number of potential ...
Topological restrictions on Anosov representations
(Tata Institute of Fundamental ResearchWiley Periodicals, Inc., 2020-12)
We characterize groups admitting Anosov representations into SL(3,R), projective Anosov representations into SL(4,R), and Borel Anosov representations into SL(4,R). More generally, we obtain bounds on the cohomological ...
Size of nodal domains of the eigenvectors of a Gn,p graph
(John Wiley & Sons, Inc., 2020-09)
Graphical Inference for Extremal Tail Dependence with Applications to Darknet Traffic - a Capstone Project
(2022-01-17)
The work for this project was collaborative and integrated into the ongoing Darknet traffic analysis tools deployed at Merit Network. The Darknet Raw Data, used for analysis, consists of network traffic data captured by ...
A Bayesian approach to restricted latent class models for scientifically structured clustering of multivariate binary outcomes
(Cambridge University PressWiley Periodicals, Inc., 2021-12)
This paper presents a model- based method for clustering multivariate binary observations that incorporates constraints consistent with the scientific context. The approach is motivated by the precision medicine problem ...
An Exploration in Mathematical Cartography: Comparative Distortion
(2022-12-13)
The purpose of this paper is to find a notion of comparative distortion (abbreviated CD in this paper) between two map projections. In historical mathematical cartography, and emphasis has been placed on (1) projecting ...
MuSP: A multistep screening procedure for sparse recovery
(Springer Science & Business MediaWiley Periodicals, Inc., 2021-12)
On the numerical accuracy in finite‐volume methods to accurately capture turbulence in compressible flows
(Wiley Periodicals, Inc., 2021-10)
The goal of the present article is to understand the impact of numerical schemes for the reconstruction of data at cell faces in finite‐volume methods, and to assess their interaction with the quadrature rule used to compute ...
Net benefit index: Assessing the influence of a biomarker for individualized treatment rules
(Springer Science & Business MediaWiley Periodicals, Inc., 2021-12)
One central task in precision medicine is to establish individualized treatment rules (ITRs) for patients with heterogeneous responses to different therapies. Motivated from a randomized clinical trial for Type 2 diabetic ...