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20132023
most citedPosterior convergence rates for estimating large precision matrices using graphical models

63 citations · 113 across the 31 of their papers we have counts for

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math.ST2021★ 2 cited

Precision Matrix Estimation under the Horseshoe-like Prior-Penalty Dual

Ksheera Sagar, Sayantan Banerjee, Jyotishka Datta +1

Precision matrix estimation in a multivariate Gaussian model is fundamental to network estimation. Although there exist both Bayesian and frequentist approaches to this, it is diff…

math.ST2021

Bayesian inference in high-dimensional models

Sayantan Banerjee, Ismaël Castillo, Subhashis Ghosal

Models with dimension more than the available sample size are now commonly used in various applications. A sensible inference is possible using a lower-dimensional structure. In re…

math.ST2019

Bayesian Structure Learning in Graphical Models using Shrinkage priors

Sayantan Banerjee

We consider the problem of learning the structure of a high dimensional precision matrix under sparsity assumptions. We propose to use a shrinkage prior, called the DL-graphical pr…

math.ST2013

Bayesian estimation of a sparse precision matrix

Sayantan Banerjee, Subhashis Ghosal

We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, including the case where the dimension is large. Gaussian graphical mod…

math.ST2013★ 63 cited

Posterior convergence rates for estimating large precision matrices using graphical models

Sayantan Banerjee, Subhashis Ghosal

We consider Bayesian estimation of a precision matrix, when can be much larger than the available sample size . It is well known that consistent estimation in su…