3 papers
stat.ME2025
Robust Estimation for Dependent Binary Network Data
Tianyu Liu, Somabha Mukherjee, Abhik Ghosh
We consider the problem of learning the interaction strength between the nodes of a network based on dependent binary observations residing on these nodes, generated from a Markov…
math.PR2024
Moderate Deviation and Berry-Esseen Bounds in the -Spin Curie-Weiss Model
Somabha Mukherjee, Tianyu Liu, Bhaswar B. Bhattacharya
Limit theorems for the magnetization in the -spin Curie-Weiss model, for , has been derived recently by Mukherjee et al. (2021). In this paper, we strengthen these res…
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…