Debashis Paul

activity

20242026

collaborators

5 papers

math.ST2026

Estimation of multiple precision matrices under shared support with heterogeneous edge strengths

Sayan Ranjan Bhowal, Debashis Paul, Gopal K Basak +1

Estimating multiple precision matrices in high-dimension presents significant challenges, particularly when distinct datasets share a common conditional dependency structure but ex…

math.ST2026

LSD of the Commutator of two data Matrices

Javed Hazarika, Debashis Paul

We study the spectral properties of a class of random matrices of the form $S_{n}^{-} = n^{- 1} (X_{1} X_{2}^{*} - X_{2} X_{1}^{*})$ where $X_{k} = I^£_{k}^{1/2} Z_{k}$ , $Z_{k}$ 's are independent $p\times n…

math.ST2026

LSD of sample covariances of superposition of matrices with separable covariance structure

Javed Hazarika, Debashis Paul

We study the asymptotic behavior of the spectra of matrices of the form $S_{n} = \frac{1}{n} X X^{*}$ where $X = \sum_{r = 1}^{K} X_{r}$ , where $X_{r} = A_{r}^{\frac{1}{2}} Z_{r} B_{r}^{\frac{1}{2}}$ , $K \in…

math.ST2025

Statistical inference using debiased group graphical lasso for multiple sparse precision matrices

Sayan Ranjan Bhowal, Debashis Paul, Gopal K Basak +1

Debiasing group graphical lasso estimates enables statistical inference when multiple Gaussian graphical models share a common sparsity pattern. We analyze the estimation propertie…

math.ST2024

Limiting Spectral Distribution of a Random Commutator Matrix

Javed Hazarika, Debashis Paul

We study the spectral properties of a class of random matrices of the form $S_{n}^{-} = n^{- 1} (X_{1} X_{2}^{*} - X_{2} X_{1}^{*})$ where $X_{k} = I^£^{1/2} Z_{k}$ , for $k = 1, 2$ , $Z_{k}$ 's are independent…