The rapid emergence of massive datasets in various fields poses a serious challenge to traditional statistical methods. Meanwhile, it provides opportunities for researchers develop novel algorithms. Inspired by the idea divide-and-conquer, distributed frameworks estimation and inference have been proposed. They were developed deal with large-scale optimization problems. This paper aims provide ...

We consider a general statistical inference model of finite-rank tensor products. For any interaction structure and order products, we identify the limit free energy in terms variational formula. Our approach consists showing first that must be viscosity solution to certain Hamilton–Jacobi equation.