no code implementations • 20 Oct 2023 • 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 recovery in $k$-spin Ising models.
no code implementations • 29 Aug 2020 • Somabha Mukherjee, Jaesung Son, Bhaswar B. Bhattacharya
In this paper, we consider the problem of estimating the natural parameter of the $p$-tensor Ising model given a single sample from the distribution on $N$ nodes.
no code implementations • 28 Mar 2020 • Stephen Melczer, Marcus Michelen, Somabha Mukherjee
Key to our argument is an asymptotic result of Pittel characterizing the joint distribution of the first rows and columns of a uniformly random partition, combined with a characterization of graphical partitions due to Erd\H{o}s and Gallai.
Combinatorics Probability 05A16, 05A17, 11P82, 60C05
2 code implementations • 9 Mar 2020 • Somabha Mukherjee, Rohit K. Patra, Andrew L. Johnson, Hiroshi Morita
On the computational side, we prove the existence of the quasiconvex constrained least squares estimator (LSE) and provide a characterization of the function space to compute the LSE via a mixed integer quadratic programme.
Methodology Statistics Theory Applications Statistics Theory