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stat.ME2023
Interaction Screening and Pseudolikelihood Approaches for Tensor Learning in Ising Models
Tianyu Liu, Somabha Mukherjee
In this paper, we study two well known methods of Ising structure learning, namely the pseudolikelihood approach and the interaction screening approach, in the context of tensor re…
math.ST2023
Limit Theorems and Phase Transitions in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal, Somabha Mukherjee
In this paper, we derive results about the limiting distribution of the empirical magnetization vector and the maximum likelihood (ML) estimates of the natural parameters in the te…
math.ST2023
Tensor Recovery in High-Dimensional Ising Models
Tianyu Liu, Somabha Mukherjee, Rahul Biswas
The -tensor Ising model is an exponential family on a -dimensional binary hypercube for modeling dependent binary data, where the sufficient statistic consists of all -fol…