The multinomial probit model is often used to analyze choice behavior. However, estimation with existing Markov chain Monte Carlo (MCMC) methods computationally costly, which limits its applicability large datasets. This article proposes a variational Bayes method that accurate and fast, even when number of alternatives observations are considered. Variational usually require an analytical expr...

In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...

We present a method of extracting information about topological order from the ground state strongly correlated two-dimensional system represented by an infinite projected entangled pair (iPEPS). As in Phys. Rev. B 101, 041108 (2020) and 102, 235112 we begin determining symmetries iPEPS matrix product operators (iMPO) that map between different transfer fixed points, to which apply fundamental ...

Variational and ensemble methods have been developed separately by various research and development groups and each brings its own benefits to data assimilation. In the last decade or so, various ways have been developed to combine these methods, especially with the aims of improving the background-error covariance matrices and of improving efficiency. The field has become confusing, even to ma...