4 papers · 1 filter
Ising Models on Inhomogeneous Random Graphs: Inference, Local Asymptotic Minimaxity, and Limit of Experiments
Somabha Mukherjee, Sanchayan Bhowal, Anirban Chatterjee +1
In this paper, we develop an inferential framework with sharp asymptotic optimality guarantees for Ising models on inhomogeneous random graphs in the subcritical parameter regime.…
Joint Estimation in Potts Model
Somabha Mukherjee, Sumit Mukherjee, Sayar Karmakar
In this paper, we study estimation of parameters in a two-parameter Potts model with colors and coupling matrix . We characterize concrete sufficient conditions for existe…
Interaction Order Estimation in Tensor Curie-Weiss Models
Somabha Mukherjee
In this paper, we consider the problem of estimating the interaction parameter of a -spin Curie-Weiss model at inverse temperature , given a single observation from this…
High Dimensional Logistic Regression Under Network Dependence
Somabha Mukherjee, Ziang Niu, Sagnik Halder +2
Logistic regression is key method for modeling the probability of a binary outcome based on a collection of covariates. However, the classical formulation of logistic regression re…