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- Sayantan Banerjee, Subhashis Ghosal
- J. Multivariate Analysis
- 2015

We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, including the case where the dimension p exceeds the sample size n. Gaussian graphical models provide an important tool in describing conditional independence through presence or absence of the edges in the underlying graph. A popular non-Bayesian method… (More)

- S. McKay Curtis, Sayantan Banerjee, Subhashis Ghosal
- Computational Statistics & Data Analysis
- 2014

Variable selection techniques for the classical linear regression model have been widely investigated. Variable selection in fully nonparametric and additive regression models has been studied more recently. A Bayesian approach for nonparametric additive regression models is considered, where the functions in the additive model are expanded in a B-spline… (More)

- S. Banerjee
- 2013

Many studies in recent time include a large number of predictor variables, but typically only a few of the predictors have significant roles. Variable selection techniques have been developed using both non-Bayesian and Bayesian approaches. Additive partial linear models (APLM) provide a flexible yet manageable extension of linear models, where some… (More)

- Sayantan Banerjee, Subhashis Ghosalb
- 2014

Variable selection in regression models have been well studied in the literature, with a number of non-Bayesian and Bayesian methods available in this regard. An important class of regression models is generalized linear models, which involve situations where the response variable is discrete. To add more flexibility, generalized additive partial linear… (More)

We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, including the case where the dimension p is large. Gaussian graphical models provide an important tool in describing conditional independence through presence or absence of the edges in the underlying graph. A popular non-Bayesian method of estimating a… (More)

- Abhijoy Saha, Sayantan Banerjee, +7 authors Veerabhadran Baladandayuthapani
- NeuroImage: Clinical
- 2016

Tumor heterogeneity is a crucial area of cancer research wherein inter- and intra-tumor differences are investigated to assess and monitor disease development and progression, especially in cancer. The proliferation of imaging and linked genomic data has enabled us to evaluate tumor heterogeneity on multiple levels. In this work, we examine magnetic… (More)

We consider Bayesian estimation of a p×p precision matrix, where p can be much larger than the available sample size n. It is well known that consistent estimation in such an ultra-high dimensional situation requires regularization such as banding, tapering or thresholding. We consider a banding structure in the model and induce a prior distribution on a… (More)

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