Search Results for author: Somabha Mukherjee

Found 4 papers, 1 papers with code

Interaction Screening and Pseudolikelihood Approaches for Tensor Learning in Ising Models

no code implementations20 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.

Estimation in Tensor Ising Models

no code implementations29 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.

Stochastic Block Model

Asymptotic bounds on graphical partitions and partition comparability

no code implementations28 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

Least Squares Estimation of a Quasiconvex Regression Function

2 code implementations9 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

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