6 papers
Scaling Limits for Ising Models on Inhomogeneous Random Graphs and Applications
Sanchayan Bhowal, Anirban Chatterjee, Somabha Mukherjee
In this paper, we derive quenched scaling limits for linear functionals and the empirical spin field of Ising models on inhomogeneous random graphs generated by a graphon (encompas…
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…
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…
Mixing Phases and Metastability for the Glauber Dynamics on the p-Spin Curie-Weiss Model
Ramkrishna Jyoti Samanta, Somabha Mukherjee, Jiang Zhang
The Glauber dynamics for the classical -spin Curie-Weiss model on nodes with inverse temperature and zero external field is known to mix in time for $β<…
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…