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math.ST2023
Inferences on Mixing Probabilities and Ranking in Mixed-Membership Models
Sohom Bhattacharya, Jianqing Fan, Jikai Hou
Network data is prevalent in numerous big data applications including economics and health networks where it is of prime importance to understand the latent structure of network. I…
math.PR2023
Gibbs Measures with Multilinear Forms
Sohom Bhattacharya, Nabarun Deb, Sumit Mukherjee
In this paper, we study a class of multilinear Gibbs measures with Hamiltonian given by a generalized -statistic and with a general base measure. Expressing the asympto…
math.ST2023
Deep Neural Networks for Nonparametric Interaction Models with Diverging Dimension
Sohom Bhattacharya, Jianqing Fan, Debarghya Mukherjee
Deep neural networks have achieved tremendous success due to their representation power and adaptation to low-dimensional structures. Their potential for estimating structured regr…