Search Results for author: Leo L. Duan

Found 9 papers, 2 papers with code

Bayesian Inference with the l1-ball Prior: Solving Combinatorial Problems with Exact Zeros

2 code implementations2 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

Transport Monte Carlo: High-Accuracy Posterior Approximation via Random Transport

1 code implementation24 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

Tuning-Free Disentanglement via Projection

no code implementations27 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.

Dimensionality Reduction Disentanglement

Latent Simplex Position Model: High Dimensional Multi-view Clustering with Uncertainty Quantification

no code implementations21 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.

Clustering Dimensionality Reduction +3

Bayesian Distance Clustering

no code implementations19 Oct 2018 Leo L. Duan, David B. Dunson

Model-based clustering is widely-used in a variety of application areas.

Clustering

Mixed-Stationary Gaussian Process for Flexible Non-Stationary Modeling of Spatial Outcomes

no code implementations17 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.

Gaussian Processes

Functional Gaussian Process Model for Bayesian Nonparametric Analysis

no code implementations10 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.

Clustering valid

Joint Hierarchical Gaussian Process Model with Application to Forecast in Medical Monitoring

no code implementations20 Aug 2014 Leo L. Duan, John P. Clancy, Rhonda D. Szczesniak

Keyword: Extrapolation, Joint Model, Longitudinal Model, Hierarchical Gaussian Process, Cystic Fibrosis, Medical Monitoring

BET: Bayesian Ensemble Trees for Clustering and Prediction in Heterogeneous Data

no code implementations18 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).

Classification Clustering +2

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