4 citations · 14 across the 40 of their papers we have counts for
7 papers · 1 filter
The "visible" Wigner matrix
Arup Bose, Soumendu Sundar Mukherjee
We consider the ``visible'' Wigner matrix, a Wigner matrix whose -th entry is coerced to zero if are co-prime. Using a recent result from elementary number theory on…
Minimax-optimal estimation for sparse multi-reference alignment with collision-free signals
Subhro Ghosh, Soumendu Sundar Mukherjee, Jing Bin Pan
The Multi-Reference Alignment (MRA) problem aims at the recovery of an unknown signal from repeated observations under the latent action of a group of cyclic isometries, in the pre…
A dynamic mean-field statistical model of academic collaboration
Soumendu Sundar Mukherjee, Tamojit Sadhukhan, Shirshendu Chatterjee
There is empirical evidence that collaboration in academia has increased significantly during the past few decades, perhaps due to the breathtaking advancements in communication an…
Learning Networks from Gaussian Graphical Models and Gaussian Free Fields
Subhro Ghosh, Soumendu Sundar Mukherjee, Hoang-Son Tran +1
We investigate the problem of estimating the structure of a weighted network from repeated measurements of a Gaussian Graphical Model (GGM) on the network. In this vein, we conside…
Consistent model selection in the spiked Wigner model via AIC-type criteria
Soumendu Sundar Mukherjee
Consider the spiked Wigner model \[ X = \sum_{i = 1}^k λ_i u_i u_i^\top + σG, \] where is an GOE random matrix, and the eigenvalues are all spiked, i.e. abov…
On a generalisation of the coupon collector problem
Siva Athreya, Satyaki Mukherjee, Soumendu Sundar Mukherjee
We consider a generalisation of the classical coupon collector problem. We define a super-coupon to be any -subset of a universe of coupons. In each round, a random -subs…
Wasserstein Projection Pursuit of Non-Gaussian Signals
Satyaki Mukherjee, Soumendu Sundar Mukherjee, Debarghya Ghoshdastidar
We consider the general dimensionality reduction problem of locating in a high-dimensional data cloud, a -dimensional non-Gaussian subspace of interesting features. We use a pro…