Showing math.STShow all
2 papers · 1 filter
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…