14 citations · 33 across the 24 of their papers we have counts for
5 papers · 1 filter
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< \fr…
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…
Rates of Convergence of the Magnetization in the Tensor Curie-Weiss Potts Model
Sanchayan Bhowal, Somabha Mukherjee
In this paper, we derive distributional convergence rates for the magnetization vector and the maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor…
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…
Optimal Confidence Bands for Shape-restricted Regression in Multidimensions
Ashley, Datta, Somabha Mukherjee +1
In this paper, we propose and study construction of confidence bands for shape-constrained regression functions when the predictor is multivariate. In particular, we consider the c…