2 code implementations • 2 Jun 2020 • Maoran Xu, Leo L. Duan
Using a continuous prior concentrated near zero, the Bayesian counterparts are successful in quantifying the uncertainty in the variable selection problems; nevertheless, the lack of exact zeros makes it difficult for broader problems such as the change-point detection and rank selection.
Methodology
1 code implementation • 24 Jul 2019 • Leo L. Duan
In Bayesian applications, there is a huge interest in rapid and accurate estimation of the posterior distribution, particularly for high dimensional or hierarchical models.
Computation Methodology
no code implementations • 27 Jun 2019 • Yue Bai, Leo L. Duan
In representation learning and non-linear dimension reduction, there is a huge interest to learn the 'disentangled' latent variables, where each sub-coordinate almost uniquely controls a facet of the observed data.
no code implementations • 21 Mar 2019 • Leo L. Duan
High dimensional data often contain multiple facets, and several clustering patterns can co-exist under different variable subspaces, also known as the views.
no code implementations • 19 Oct 2018 • Leo L. Duan, David B. Dunson
Model-based clustering is widely-used in a variety of application areas.
no code implementations • 17 Jul 2018 • Leo L. Duan, Xia Wang, Rhonda D. Szczesniak
Different from a simple mixture of independent GPs, the mixture in stationarity allows the components to be spatial correlated, leading to improved prediction efficiency.
no code implementations • 10 Feb 2015 • Leo L. Duan, Xia Wang, Rhonda D. Szczesniak
Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic.
no code implementations • 20 Aug 2014 • Leo L. Duan, John P. Clancy, Rhonda D. Szczesniak
Keyword: Extrapolation, Joint Model, Longitudinal Model, Hierarchical Gaussian Process, Cystic Fibrosis, Medical Monitoring
no code implementations • 18 Aug 2014 • Leo L. Duan, John P. Clancy, Rhonda D. Szczesniak
We propose a novel "tree-averaging" model that utilizes the ensemble of classification and regression trees (CART).