Bayesian estimation of mixed multinomial logit models: Advances and simulation-based evaluations

P Bansal, R Krueger, M Bierlaire, RA Daziano… - … Research Part B …, 2020 - Elsevier
Variational Bayes (VB) methods have emerged as a fast and computationally-efficient
alternative to Markov chain Monte Carlo (MCMC) methods for scalable Bayesian estimation …

Scaling Bayesian inference of mixed multinomial logit models to large datasets

F Rodrigues - Transportation research part B: methodological, 2022 - Elsevier
Variational inference methods have been shown to lead to significant improvements in the
computational efficiency of approximate Bayesian inference in mixed multinomial logit …

Variational Bayesian inference for mixed logit models with unobserved inter-and intra-individual heterogeneity

R Krueger, P Bansal, M Bierlaire, RA Daziano… - arXiv preprint arXiv …, 2019 - arxiv.org
Variational Bayes (VB), a method originating from machine learning, enables fast and
scalable estimation of complex probabilistic models. Thus far, applications of VB in discrete …

Stochastic variational inference for large-scale discrete choice models using adaptive batch sizes

LSL Tan - Statistics and Computing, 2017 - Springer
Discrete choice models describe the choices made by decision makers among alternatives
and play an important role in transportation planning, marketing research and other …

A comparison of variational approximations for fast inference in mixed logit models

N Depraetere, M Vandebroek - Computational Statistics, 2017 - Springer
Variational Bayesian methods aim to address some of the weaknesses (computation time,
storage costs and convergence monitoring) of mainstream Markov chain Monte Carlo based …

Bayesian multinomial logit: Theory and route choice example

S Washington, P Congdon… - Transportation …, 2009 - journals.sagepub.com
Statisticians along with other scientists have made significant computational advances that
enable the estimation of formerly complex statistical models. The Bayesian inference …

Fast variational Bayes methods for multinomial probit models

R Loaiza-Maya, D Nibbering - Journal of Business & Economic …, 2023 - Taylor & Francis
The multinomial probit model is often used to analyze choice behavior. However, estimation
with existing Markov chain Monte Carlo (MCMC) methods is computationally costly, which …

Variational inference for large-scale models of discrete choice

M Braun, J McAuliffe - Journal of the American Statistical …, 2010 - Taylor & Francis
Discrete choice models are commonly used by applied statisticians in numerous fields, such
as marketing, economics, finance, and operations research. When agents in discrete choice …

Minorization-Maximization (MM) algorithms for semiparametric logit models: Bottlenecks, extensions, and comparisons

P Bansal, RA Daziano, E Guerra - Transportation Research Part B …, 2018 - Elsevier
Motivated by the promising performance of alternative estimation methods for mixed logit
models, in this paper we derive, implement, and test minorization-maximization (MM) …

Bayesian estimator for logit mixtures with inter-and intra-consumer heterogeneity

F Becker, M Danaf, X Song, B Atasoy… - … Research Part B …, 2018 - Elsevier
Estimating discrete choice models on panel data allows for the estimation of preference
heterogeneity in the sample. While the Logit Mixture model with random parameters is …