48 citations · 126 across the 51 of their papers we have counts for
9 papers · 1 filter
Partitioning Strategies and Task Allocation for Target-tracking with Multiple Guards in Polygonal Environments
Hamid Emadi, Tianshuang Gao, Sourabh Bhattacharya
This paper presents an algorithm to deploy a team of {\it free} guards equipped with omni-directional cameras for tracking a bounded speed intruder inside a simply-connected polygo…
Towards a Framework for Tracking Multiple Targets: Hybrid Systems meets Computational Geometry
Guillermo J. Laguna, Rui Zou, Sourabh Bhattacharya
We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this…
On the Optimal Policies for Visibility-Based Target Tracking
Rui Zou, Hamid Emadi, Sourabh Bhattacharya
In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal…
Asymptotic Theory of Dependent Bayesian Multiple Testing Procedures Under Possible Model Misspecification
Noirrit K. Chandra, Sourabh Bhattacharya
We study asymptotic properties of Bayesian multiple testing procedures and provide sufficient conditions for strong consistency under general dependence structure. We also consider…
Nonparametric Dynamic State Space Modeling of Observed Circular Time Series with Circular Latent States: A Bayesian Perspective
Satyaki Mazumder, Sourabh Bhattacharya
Circular time series has received relatively little attention in statistics and modeling complex circular time series using the state space approach is non-existent in the literatu…
On Classical and Bayesian Asymptotics in Stochastic Differential Equations with Random Effects having Mixture Normal Distributions
Trisha Maitra, Sourabh Bhattacharya
Delattre et al. (2013) considered a system of stochastic differential equations (SDEs) in a random effects setup. Under the independent and identical (iid) situation, and assuming…
On Asymptotic Inference in Stochastic Differential Equations with Time-Varying Covariates
Trisha Maitra, Sourabh Bhattacharya
In this article, we introduce a system of stochastic differential equations (SDEs) consisting of time-dependent covariates and consider both fixed and random effects set-ups. We al…
Effects of Gene-Environment and Gene-Gene Interactions in Case-Control Studies: A Novel Bayesian Semiparametric Approach
Durba Bhattacharya, Sourabh Bhattacharya
Cognizance of gene-environment interactions may help prevent or detain the onset of complex diseases like cardiovascular disease, cancer, type2 diabetes, autism or asthma by adjust…
Bayes meet Riemann- Bayesian Characterization of Infinite Series with Application to Riemann Hypothesis
Sucharita Roy, Sourabh Bhattacharya
In the classical literature on infinite series there are various tests to determine if a given infinite series converges, diverges, or oscillates. But unfortunately, for very many…