3 papers
math.ST2024
Causal effect estimation under network interference with mean-field methods
Sohom Bhattacharya, Subhabrata Sen
We study causal effect estimation from observational data under interference. The interference pattern is captured by an observed network. We adopt the chain graph framework of Tch…
math.ST2024
Nonsense associations in Markov random fields with pairwise dependence
Sohom Bhattacharya, Rajarshi Mukherjee, Elizabeth Ogburn
Yule (1926) identified the issue of "nonsense correlations" in time series data, where dependence within each of two random vectors causes overdispersion -- i.e. variance inflation…
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…